12.07.2015 Views

urban watershed studies in southern brazil

urban watershed studies in southern brazil

urban watershed studies in southern brazil

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Silva, Santos and Silva47Runoff-erosion modelThe Water Erosion Prediction Project (WEPP) modelwas developed from 1985–1995, by the United StatesDepartments of Agriculture and Interior to succeed theUSLE and provide a “new generation of water erosionprediction technology”, and was publicly released <strong>in</strong>1995 for application on cropland, rangeland, forestland,and other managed lands (Flanagan & Near<strong>in</strong>g, 1995).WEPP simulates the important physical processes thatresult <strong>in</strong> soil erosion by water.The WEPP erosion model computes soil loss along aslope and sediment yield at the end of a hillslope, where<strong>in</strong>terrill and rill erosion processes are considered.Interrill erosion is described as a process of soildetachment by ra<strong>in</strong>drop impact, transport by shallowsheet flow, and sediment delivery to rill channels.Sediment delivery rate to rill flow areas is assumed tobe proportional to the product of ra<strong>in</strong>fall <strong>in</strong>tensity and<strong>in</strong>terrill runoff rate. Rill erosion is described as afunction of the flow’s ability to detach sediment,sediment transport capacity, and the exist<strong>in</strong>g sedimentload <strong>in</strong> the flow (Flanagan & Near<strong>in</strong>g, 1995).The model conta<strong>in</strong>s a climate generator, simulatessurface and subsurface hydrology, irrigation, plantgrowth, residue decomposition, effects of tillage, soildetachment by ra<strong>in</strong>drop impact and flow<strong>in</strong>g water,sediment transport and deposition. Orig<strong>in</strong>al aims wereto provide a hillslope, catchment and grid cell version ofthe model, though the latter has yet to be realized. Forthe purpose of the study we have concentrated solelyupon use of the hillslope model.The WEPP model was <strong>in</strong>tended to replace the USLEfamily models and expand the capabilities for erosionprediction <strong>in</strong> a variety of landscapes and sett<strong>in</strong>gs. It is aphysically-based model with distributed parameters thatcan be used <strong>in</strong> either a s<strong>in</strong>gle event or cont<strong>in</strong>uous timescale and calculates erosion from rills and <strong>in</strong>terrills,assum<strong>in</strong>g that detachment and deposition rates <strong>in</strong> rillsare a function of the transport capacity.Infiltration <strong>in</strong> WEPP is calculated us<strong>in</strong>g a solution ofthe Green-Ampt equation for unsteady ra<strong>in</strong>falldeveloped by Chu (1978). It is essentially a two-stageprocess under steady ra<strong>in</strong>fall. Initially, <strong>in</strong>filtration rate isequal to the ra<strong>in</strong>fall application rate and after pond<strong>in</strong>goccurs <strong>in</strong>filtration rate is calculated with the Eq. (1):⎡ N ⎤= ⎢ +sf Ke 1 ⎥(1)⎣ F ⎦where f is <strong>in</strong>filtration rate (mm/h), N s is effective matricpotential (mm), F is cumulative <strong>in</strong>filtration (mm), andK e effective hydraulic conductivity (mm/h). Effectivematric potential is given by Eq. (2):Ns− ( η − θ )ψ(2)eiwhere η e is available porosity, θ i is soil water content,and ψ is average wett<strong>in</strong>g front capillary potential.Available porosity is calculated as the differencebetween total porosity corrected for entrapped air andantecedent water content. Average wett<strong>in</strong>g frontcapillary potential is determ<strong>in</strong>ed with an equationdeveloped by Rawls & Brakensiek (1983) which statesthatwherebψ = 0.01e(3b = 6.531 - 7.33η e + 15.8C 1 ² +3.81 η e ² + 3.4C I S a - 4.98S a η e +16.1S a ² η e ² + 16C l η e ² – 14S a ²C l –34.8C l ²η e – 8S a ²η e(4)where S a and C l are decimal amounts of sand and clay.Soil erosion <strong>in</strong> hillslope is represented as twocomponents <strong>in</strong> the WEPP model: soil particle detachedby ra<strong>in</strong>drop and transported by th<strong>in</strong> sheet flow, knownas <strong>in</strong>terrill erosion component and soil particle detachedby shear stress and transported by concentrated flow,known as rill erosion components. The steady statesediment cont<strong>in</strong>uity equation used to estimate netdetachment <strong>in</strong> the hillslope is expressed as (Foster et al.,1995):dG= D f+ D i(5)dxwhere G is sediment load (kg/m²/s) at distance x fromthe orig<strong>in</strong> of hillslope, x is distance down slope (m), D iis <strong>in</strong>terrill sediment delivery rate to rill (kg/m²/s) and D fis rill detachment rate (kg/m²/s). Interrill erosionfunction of above equation (D i ) is given as (Foster et al.,1995):⎛ Rs⎞Di = KiadjIeσ irSDRRRFnozzle⎜⎟ (6)⎝ w ⎠where K iadj is adjusted <strong>in</strong>terrill erodibility (kg s/m 4 ), I e iseffective ra<strong>in</strong>fall <strong>in</strong>tensity (mm/h), σ ir is <strong>in</strong>terrill runoffrate (mm/h), SDR RR is <strong>in</strong>terrill sediment delivery ratio,F nozzle is the adjustment factor for spr<strong>in</strong>kler irrigationnozzle impact energy variation, R s is rill spac<strong>in</strong>g (m), wis width of rill (m) and rill erosion function (D f ) is givenas (Foster et al., 1995):⎛ G( )⎟ ⎞⎜f − τcadj−⎝ T ⎠f = KradjcD τ 1(7)where K radj is adjusted soil erodibility parameter (s/m),τ f is flow shear stress (kg/m s²), τ cadj is adjusted criticalshear stress of the rill surface (kg/m s²) and T c isJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.44-52, 2007


Silva, Santos and Silva48sediment transport capacity of the rill flow (kg/m s)which is given by the follow<strong>in</strong>g relation (Foster et al.,1995; Huang & Bradford, 1993)Tc = Ktrqws(8)where K tr is constant parameter, q w is flow discharge perunit width (m²/s) and s is slope (%).The deposition equation is given as (Foster & Meyer,1972; Foster et al., 1995):Whereas WEPP allows the user to <strong>in</strong>put up to tendG rVf= β ( Tc− G) + Didx qw(9)RESULTS AND DISCUSSION2Di = KiI Sf(10)Ki= 2 728 000 + 19 210 000vfs(11)Soil propertiesValuesCoarse sand, % weight 6.8F<strong>in</strong>e sand, % weight 32Clay, % weight 35Organic matter, % weight 1.5 Table 3. Description of the used ra<strong>in</strong> gaugesAlbedo 0.3Longitude LatitudeTypeInitial soil saturation 0.75(m) (m)PeriodInterrill erodibility (kg/s m 4 ) 8.8–10 6 Ra<strong>in</strong> gauge 1 275 402 9 194 296 2003–2006Rill erodibility (s/m) 1.4–10 2 Ra<strong>in</strong> gauge 2 275 788 9 192 719 2003–2006Critical shear (N/m 2 ) 2.4 Ra<strong>in</strong> gauge 3 275 608 9 190 997 2003–2006K h of surface soil (m/s) 0.8where V f is effective fall velocity of the sediment (m/s)and β r is ra<strong>in</strong>drop <strong>in</strong>duced turbulence coefficient (0˘1).Parameters <strong>in</strong> Eqs 5 and 9 are normalized withcorrespond<strong>in</strong>g parameter values of uniform hillslopecondition. The equations are then solved to f<strong>in</strong>d soilerosion and deposition at particular po<strong>in</strong>t of <strong>in</strong>terest atdistance x from the top of the hillslope at desired time<strong>in</strong>terval (Pudasa<strong>in</strong>i et al., 2004).The soil physical and chemical property analysiswere performed to determ<strong>in</strong>e important soil propertiesas shown <strong>in</strong> Table 2.The uncalibrated WEPP model parameters wereestimated from physical observations or from text-bookvalues. Particle size distribution and organic matterwere obta<strong>in</strong>ed <strong>in</strong> Cavalcante (2005). The observed<strong>in</strong>terrill erodibility (K i ) values were calculated us<strong>in</strong>g theEq. 10.where D i is <strong>in</strong>terrill erosion rate (kg/m 2 s), K i <strong>in</strong>terrillerodibility (kg/s m 4 ), I the ra<strong>in</strong>fall <strong>in</strong>tensity (m/s) and S fslope factor (dimensionless = 1.05 – 0.85e −0.85s<strong>in</strong>θ ,where θ is expressed <strong>in</strong> degrees). At each of the sites K iwas also estimated us<strong>in</strong>g the equation used by theWEPP model:where vfs is very f<strong>in</strong>e sand fraction.Table 2. Soil properties used <strong>in</strong> the WEPP simulationsoil layers and uses these layers <strong>in</strong> the water balancecomponent of the model, the <strong>in</strong>filtration rout<strong>in</strong>e uses as<strong>in</strong>gle-layer approach. The harmonic mean of the soilproperties <strong>in</strong> the upper 100 cm is used to represent theeffects of multilayer systems. Effective porosity, soilwater content, and wett<strong>in</strong>g front capillary potential areall calculated based on the mean of these soil properties.Sensitivity analysis on the hydrologic component ofWEPP has <strong>in</strong>dicated that predicted runoff amounts aremost sensitive to ra<strong>in</strong>fall parameters (depth, duration,and <strong>in</strong>tensity) and hydraulic conductivity (Near<strong>in</strong>g etal., 1990).Others <strong>studies</strong> concluded that proper determ<strong>in</strong>ationof hydraulic conductivity is critical to obta<strong>in</strong><strong>in</strong>g reliableestimates of runoff from WEPP (Van der Sweep, 1992;Risse et al., 1992; Risse, 1995). Current versions ofWEPP allow for two methods of hydraulic conductivity<strong>in</strong>put. In the first method, the user <strong>in</strong>puts an averageeffective value of hydraulic conductivity that rema<strong>in</strong>sconstant throughout the simulation.Near<strong>in</strong>g et al. (1996) developed a procedure forestimat<strong>in</strong>g these average effective values based on soilproperties, and Risse (1995) showed that this methodproduced reliable event estimates of runoff on naturalrunoff plots at 11 locations. The second method allowsfor temporal variation of hydraulic conductivity. In it,the user <strong>in</strong>puts a ‘basel<strong>in</strong>e’ value of hydraulicconductivity that is then adjusted to account fortemporal changes <strong>in</strong> effective hydraulic conductivity.In the bas<strong>in</strong>, four ra<strong>in</strong>gauges and one climatologicstation were <strong>in</strong>stalled (Table 3) with data range of2003–2006. WEPP requires detailed breakpo<strong>in</strong>t data forparameters such as ra<strong>in</strong>fall <strong>in</strong> order to characterize theshape of the daily hyetograph and daily <strong>in</strong>put data for allother climate variables.In this example, a 3-year time series generated fromclimate data for the microbas<strong>in</strong> has been used as model<strong>in</strong>put, and the soil data were obta<strong>in</strong>ed from SUDENE(1987). This was collected from soil survey maps at1:10 000 scale for the whole bas<strong>in</strong>. The soil data were<strong>in</strong>serted to the WEPP model <strong>in</strong> its hillslope form eitherdirectly as <strong>in</strong> the case of textural parameters or organicmatter content, for example, or <strong>in</strong>directly via regressionbased relationships as <strong>in</strong> the case of the erodibilityparameters, for all comb<strong>in</strong>ations of soil, slope and landuse needed.Ra<strong>in</strong> gauge 4 276 824 9 192 848 2003–2006Climatologic 276 555 9 194 206 2003–2006Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.44-52, 2007


Silva, Santos and Silva49Percent f<strong>in</strong>e(%)0.001 0.01 0.1 1 10 100Gra<strong>in</strong>-size (mm)Fig. 2 Gra<strong>in</strong>-size distribution curve for the bed material.Three locations with<strong>in</strong> the ma<strong>in</strong> water stream wereselected for the soil samples, whose results are shown <strong>in</strong>Fig. 2, and the Table 4 presents the gra<strong>in</strong>-sizedistribution curves for each sample. The mean sedimentdiameter (d 50 ) varied between 0.45 and 0.71 mm.The available images for the study were obta<strong>in</strong>ed bysensor ETM, of Landsat 7 satellite, of the orbit 214 andPo<strong>in</strong>t 65, year 2007. The color composites generatedfrom bands R1G4B3 were visually <strong>in</strong>terpreted throughon screen digitiz<strong>in</strong>g. The image was georeferenced <strong>in</strong>GIS software, establish<strong>in</strong>g a relationship between thecoord<strong>in</strong>ates of the image and the acquired coord<strong>in</strong>ates <strong>in</strong>the field, <strong>in</strong> order to get a larger precision for the image<strong>in</strong>terpretation. The image was transformed <strong>in</strong> UTMcoord<strong>in</strong>ate system by the average of 1:25 000 scaledstandard topographic maps by us<strong>in</strong>g the first orderpol<strong>in</strong>omial and nearest neighbour resampl<strong>in</strong>g method.The supervised classification technique us<strong>in</strong>gMaximum Likelihood was applied to classify theLandsat images of the microbas<strong>in</strong>. The aim of the imageclassification process is convert<strong>in</strong>g image data <strong>in</strong>tothematic data. Fig. 3 presents the spectral <strong>in</strong>terpretationand analysis of the geo-objects. Seven ma<strong>in</strong> types ofland use classes were identified with<strong>in</strong> the bas<strong>in</strong>:sugarcane, roads, grass, high capoeira, low capoeira,exposed soil, p<strong>in</strong>eapple culture, and grass.Model simulationFor simulations, the WEPP <strong>watershed</strong> version was used.WEPP required climate, slope, management and soil<strong>in</strong>put files, which were assembled us<strong>in</strong>g the gathered<strong>in</strong>formation. For the climate <strong>in</strong>put file, breakpo<strong>in</strong>t data(precipitation) and daily averages (temperature) wereused.Table 4. Soil samples to determ<strong>in</strong>e the gra<strong>in</strong>-size distribution curvesGra<strong>in</strong> Sample 1 (%) Sample 2 (%) Sample 3 (%)-size(mm)coarser f<strong>in</strong>er coarser f<strong>in</strong>er coarser f<strong>in</strong>er1.20 0.6 99.4 10.7 89.3 3.3 96.70.60 16.8 83.2 60.2 39.8 41.0 58.90.42 56.3 43.7 87.5 12.5 79.4 20.60.30 81.8 18.1 95.6 4.4 93.3 6.60.15 95.9 4.1 99.2 0.7 99.9 0.10.074 98.3 1.7 99.7 0.3 100.0 0.0Fig. 4 Discretization of Guaraira river experimental bas<strong>in</strong>for the WEPP model.Sub-division of hillslopes were carried out byoverlay<strong>in</strong>g different thematic layers such as slopecoverage, soil coverage and land use coverage, so thateach hillslope is characterized by topography, soil, andland use. Parameters of the <strong>watershed</strong> such as overlandand channel slope, channel length and hillslope lengthwere extracted from different thematic layers (i.e.contour, slope and dra<strong>in</strong>age map). The number ofchannels identified for each sub-<strong>watershed</strong> is presented<strong>in</strong> Fig. 2 and Table 5Crop characteristics required for hydrologicalcalculation were taken from the WEPP crop databaseand supplemented with site-specific data. Soilerodibilities were calculated accord<strong>in</strong>g to the WEPPrecommendation.Based on the field layout and topography, the<strong>watershed</strong> area was divided <strong>in</strong>to 22 sub-bas<strong>in</strong>s, whichwere connected through 10 channels. For each subbas<strong>in</strong>,a representative hillslope was selected and then, ifnecessary, it was divided <strong>in</strong>to different overland flowelements accord<strong>in</strong>g to the exist<strong>in</strong>g soil-vegetationcondition (Fig. 3).Table 5 presents the simulation results for each bas<strong>in</strong>channel element, and Table 6 shows the simulationresults for each bas<strong>in</strong> plane element. The predicted soilloss values us<strong>in</strong>g WEPP model were reasonably good,based on the range of the observed values as publishedby Santos & Silva (2007) and Silva et al. (2007) to thesame bas<strong>in</strong>.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.44-52, 2007


Silva, Santos and Silva50Table 5. Channel characteristicsChannelRunoff(m³/year × 10 5 )Sedimentyield(ton/year)Contribut<strong>in</strong>gchannelhillslopeC1 0.5 137 6 11, 12, 13C2 1.8 353 4 4, 5, 6C3 1.4 250 4 1, 2, 3C4 3.6 792 5 7, 8C5 4.4 1,314 6 9, 10C6 4.9 1,536 8 -C7 0.3 126 6 16, 17, 18C8 6.1 2,024 9 14, 15C9 6.6 2,297 10 19, 20C10 7.0 2,655 - 21, 22Fig. 3 Land use <strong>in</strong> Guaraíra River Experimental Bas<strong>in</strong>.Further, the model parameters could be optimizedus<strong>in</strong>g a genetic algorithm as presented by Duan et al.(1992), Sorooshian et al. (1993), and Santos et al.(2003).The obta<strong>in</strong>ed results showed the susceptible areas tothe erosion process with<strong>in</strong> Guaraíra River Bas<strong>in</strong>, andthat the mean sediment yield could be <strong>in</strong> the order of 21t/ha/year (<strong>in</strong> an area of 574 ha). The results also showedthat the computed soil losses was considered moderatebased on the four classes of bas<strong>in</strong> soil loss as proposedby FAO (1967) <strong>in</strong> ton year/ha: (a) < 10 = very low; (b)10–50 = moderate; (c) 50–200 = high; and (d) 50–120= very high.The results demonstrate that reliable assessment ofthe available sediment yield models requires accuratesediment data collection which is most confidentlyobta<strong>in</strong>ed through development of sediment graphs.Moreover, preparation of <strong>in</strong>put data for the modelrequirements may also lead to better and reliablejudgment.Table 6. Simulation results for each sub-bas<strong>in</strong>HillslopesElement area Runoff volumesSoil lossesSediment yield(ha)(m³ year × 10 4 )(ton year)(ton year)H1 4.13 0.6 1.13 0.76H2 14.47 1.7 14.00 2.65H3 108.29 12.0 101.23 19.79H4 142.32 16.0 133.49 26.05H5 7.18 0.8 7.34 1.32H6 13.4 1.5 13.09 2.45H7 10.08 1.6 2.77 1.85H8 12.48 2.0 3.43 2.29H9 48.16 5.4 45.87 8.81H10 14.89 1.7 14.77 2.73H11 32.25 3.7 31.46 5.90H12 6.58 1.0 1.81 1.21H13 4.21 0.5 4.30 0.77H14 26.56 4.2 7.30 4.86H15 34.78 3.9 32.87 6.37H16 4.46 5.2 4.56 0.81H17 10.44 1.2 10.34 1.92H18 10.77 1.7 2.95 1.97H19 22.89 2.6 21.70 4.20H20 15.44 2.5 4.24 2.83H21 12.87 2.0 3.53 2.35H22 16.53 2.6 4.55 3.03Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.44-52, 2007


Silva, Santos and Silva51Conclusion and recommendationsThe present research was conducted <strong>in</strong> the GuaraíraRiver Experimental Bas<strong>in</strong> <strong>in</strong> Brazil, located <strong>in</strong>northeastern Brazil to assess the applicability of thewell-known WEPP model, remote sens<strong>in</strong>g and GIStechniques for sediment yield prediction and the bas<strong>in</strong>land use.The use of geo<strong>in</strong>formation techniques was verysuccessful <strong>in</strong> address<strong>in</strong>g the study objectives. Throughthese techniques, it was possible to identify and map theerosion areas and classify the land cover types with<strong>in</strong>the studied area. Therefore, this study showed thatremote sens<strong>in</strong>g and hydrologic model<strong>in</strong>g could be auseful tool for identification and analysis of soil lossand runoff <strong>in</strong> the Guaraíra river bas<strong>in</strong>.The soil loss results, simulated by the WEPP model,showed that these losses with<strong>in</strong> the bas<strong>in</strong> could beconsidered moderate, around 21 ton/year ha, and thatthe planes H3 and H4 presented the largest losses(approximately 100 t/year ha).The presented simulation procedure are accord<strong>in</strong>g tothe comments of Lakshmi (2004): the satellite remotesens<strong>in</strong>g could be used to address to (a) advance theability of hydrologists worldwide to predict the fluxes ofwater and associated constituents from ungauged bas<strong>in</strong>s,along with estimates of the uncerta<strong>in</strong>ty of predictions;(b) predict the fluxes of water by us<strong>in</strong>g vegetation,surface air temperatures as <strong>in</strong>puts to hydrologicalmodels and surface temperature and soil moisture asvalidation variables <strong>in</strong> the <strong>in</strong>termediate step tocalculation of overland flow and stream flow; (c)advance the knowledge and understand<strong>in</strong>g of climaticand landscape controls on hydrological processes toconstra<strong>in</strong> the uncerta<strong>in</strong>ty <strong>in</strong> hydrologic predictions,s<strong>in</strong>ce the spatial mapp<strong>in</strong>g of land surface areas helps toidentify regions of saturation/high vegetation contentalong with surface flow characteristics, <strong>in</strong>filtrationdom<strong>in</strong>ated and/or runoff dom<strong>in</strong>ated; and (c) advance thescientific foundations of hydrology, and provide ascientific basis for susta<strong>in</strong>able river bas<strong>in</strong> management.Future estimation of water resources requires anaccurate prediction of sources of surface and subsurfacewater, both of which can be mapped <strong>in</strong> space with theuse of satellite remote sens<strong>in</strong>g. Track<strong>in</strong>g fresh waterestimates from space is a challeng<strong>in</strong>g problem that canbe solved by a comb<strong>in</strong>ation of satellite sensors andexist<strong>in</strong>g gauge networks (Lakshmi, 2004; Vriel<strong>in</strong>g, 2006).Indeed, prediction of ungauged water resources isfast becom<strong>in</strong>g a well-def<strong>in</strong>ed and important problem <strong>in</strong>satellite hydrology.Acknowledgment This research was f<strong>in</strong>anciallysupported by MCT/CT-Hidro/CNPq (n. 13/2005). Theauthors are also CNPq scholars.REFERENCESCavalcante, A. L. (2005). Bacia do Rio Guaraíra: propriedadeshidroclimatológicas e físicas do solo. Technical report <strong>in</strong> CivilEng<strong>in</strong>eer<strong>in</strong>g Undergraduation course. João Pessoa, 47p.Chu, S.T. (1978). Infiltration dur<strong>in</strong>g an unsteady ra<strong>in</strong>. Water Resour.Res 14(3), 461−466.Cyr, L., Bonn, F. & Pesant, A. (1995). Vegetation <strong>in</strong>dices derivedfrom remote sens<strong>in</strong>g for an estimation of soil protection aga<strong>in</strong>stwater erosion. Ecol. Modell<strong>in</strong>g 79(1-3), 277−285.Duan, Q., Sorooshian, S. & Gupta, V. (1992). Effective and efficientglobal optimization for conceptual ra<strong>in</strong>fall-runoff models. WaterResour. Res 28(4), 1015−1031.Elliot, W.J., Liebenow, A.A., Laflen, J.M. & Kohl, K.D. (1989). Acompendium of soil erodibility data from WEPP cropland soilfield erodibility experiments. NSERL Report, vol. 3. AgriculturalRes. Service, National Soil Erosion Res. Lab., 316 p.F.A.O. - Food and Agriculture Organization (1967). La erosión delsuelo por el água. Algunas medidas para combatirla en las tierrasde cultivo. Cuadernos de Fomento Agropecuário daOrganización de Las Naciones Unidas 81, 207.Flanagan, D.C. & Near<strong>in</strong>g, M.A. (1995). USDA-Water ErosionPrediction project: Hillslope profile and <strong>watershed</strong> modeldocumentation. NSERL Report n. 10. USDA-ARS National SoilErosion Research Laboratory, West Lafayette, 47097−1196.Flanagan, D.C., Renschler, C.S. & Cochrane, T.A. (2000).Application of the WEPP model with digital geographic<strong>in</strong>formation. Proceed<strong>in</strong>gs of the 4th International Conference onIntegrat<strong>in</strong>g GIS and Environmental Model<strong>in</strong>g (GIS/EM4).Foster, G.R. & Meyer, L.D. (1972). A closed-form soil erosionequation for upland areas. In: Sedimentation (ed. by Shen, H.W.),Colorado State University, Fort Coll<strong>in</strong>s.Foster, G.R., Flanagan, D.C., Near<strong>in</strong>g, M.A., Lane, L.J., Risse, L.M..& F<strong>in</strong>kner, S.C. (1995). Hillslope erosion component. Flanagan,D. C. & Near<strong>in</strong>g, M. A. (eds.). USDA Water erosion predictionproject: hillslope profile and <strong>watershed</strong> model documentation.Report n. 10, USDA-ARS National Soil Erosion Research.Feoli, E., Vuerich, L.G. & Zerihun, W. (2002). Evaluation ofenvironmental degradation <strong>in</strong> northern Ethiopia us<strong>in</strong>g GIS to<strong>in</strong>tegrate vegetation, geomorphological, erosion, and socioeconomicfactors. Agric., Ecosystems and Environ. 91(1-3),313−325.Huang, C.-H. & Bradford, J.M. (1993). Analysis of slope and runofffactors based on the WEPP erosion model. Soil Sci Soc Am J. 57,1176−1183.Ja<strong>in</strong>, S.K. & Dolezal, F. (2000). Model<strong>in</strong>g soil erosion us<strong>in</strong>g EPICsupported by GIS, Bohemia, Czech Republic. J. Environ. Hydrol.8, 1−11.Jakubauskas, M.E., Whistler, J.L., Dillworth, M.E. & Mart<strong>in</strong>ko, E.A.(1992). Classify<strong>in</strong>g remotely sensed data for use <strong>in</strong> an agriculturalnon-po<strong>in</strong>t source pollution model. J. Soil and Water Conser.47(2), 179−183.Jürgens, C. & Fander, M. (1993). Soil erosion assessment andsimulation by means of SGEOS and ancillary digital data. J.Remote Sens. 14(15), 2847−2855.Khan, M.A., Gupta, V.P. & Moharana, P.C. (2001). Watershedprioritization us<strong>in</strong>g remote sens<strong>in</strong>g and geographical <strong>in</strong>formationsystem: a case study from Guhiya, India. J. Arid Environs. 49(3),465−475.Lakshmi, V. (2004). Use of satellite remote sens<strong>in</strong>g <strong>in</strong> hydrologicalpredictions <strong>in</strong> ungaged bas<strong>in</strong>s. Proceed<strong>in</strong>gs of the XXth ISPRSCongress. Istanbul, 2004.Mati, B.M., Morgan, R.P.C., Gichuki, F.N., Qu<strong>in</strong>ton, J.N., Brewer,T.R. & L<strong>in</strong>iger, H.P. (2000). Assessment of erosion hazard withthe USLE and GIS: a case study of the Upper Ewaso Ng’iro Northbas<strong>in</strong> of Kenya. J. of Applied Earth Observation andGeo<strong>in</strong>formation 2(2), 78−86.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.44-52, 2007


Silva, Santos and Silva52Millward, A.A. & Mersey, J.E. (1999). Adapt<strong>in</strong>g the RUSLE tomodel soil erosion potential <strong>in</strong> a mounta<strong>in</strong>ous tropical <strong>watershed</strong>.Catena, 38(2), 109−129.Near<strong>in</strong>g, M.A., Deer-Ascough, L. & Laflen, J.M. (1990). Sensitivityanalysis of the WEPP hillslope profile erosion model. Trans.ASAE 33(3), 839−849.Near<strong>in</strong>g, M.A., Liu, B.Y., Risse, L.M. & Zhang, X. (1995). Curvenumbers and Green-Ampt effective hydraulic conductivities.Water Resour. Bul. 32(1), 125−136.Pudasa<strong>in</strong>i, M., Shrestha, S. & Riley, S. (2004). Application of WaterErosion Prediction Project (WEPP) to estimate soil erosion froms<strong>in</strong>gle storm ra<strong>in</strong>fall events from construction sites. Proceed<strong>in</strong>gsof the 3rd Australian New Zealand Soils Conference, 5-9December 2004, University of Sydney, Australia.Pullar, D. & Spr<strong>in</strong>ger, D. (2000). Towards <strong>in</strong>tegrat<strong>in</strong>g GIS andcatchment models. Environ. Modell<strong>in</strong>g & Software 15, 451−459.Rawls, W.J. & Brakensiek, D.L. (1983). A procedure to predictGreen and Ampt <strong>in</strong>filtration parameters. In: Proceed<strong>in</strong>gs of ASAEConference on Advances <strong>in</strong> Infiltration, Chicago, IL. ASAE, St.Joseph, 102−l 12.Risse, L.M., Near<strong>in</strong>g, M.A. & Savabi, R. (1992). An evaluation ofhydraulic conductivity prediction rout<strong>in</strong>es for WEPP us<strong>in</strong>g naturalrunoff plot data. Trans. ASAE, Paper 92−2142.Risse, L.M., Near<strong>in</strong>g, M.A. & Zhang, X.C. (1995). Variability <strong>in</strong>Green-Ampt effective hydraulic conductivity under fallowconditions. J. Hydrol. 169, 1−24.Romero C.C., Stroosnijder L. & Baigorria G.A. (2007). Interrill andrill erodibility <strong>in</strong> the northern Andean Highlands, Catena 70(2),105−113.Saghafian, B., Van Lieshout, A.M. & Rajaei, H.M. (2000).Distributed catchment simulation us<strong>in</strong>g a raster GIS. Environ.Modell<strong>in</strong>g and Software 2, 199−203.Santos, C.A.G. & Silva, R.M. (2007). Assess<strong>in</strong>g erosion us<strong>in</strong>gWEPP model with GIS for an experimental bas<strong>in</strong> <strong>in</strong> northeasternBrazil. Proc. XXIV General Assembly IUGG, Perugia, Italy,IAHS, 2007.Santos, C.A.G., Sr<strong>in</strong>ivasan, V.S., Suzuki, K. & Watanabe, M. (2003)Application of an optimization technique to a physically basederosion model. Hydrol. Processes 47, 989–1003, doi:10.1002/hyp.1176.Shrimali, S.S., Aggarwal, S.P. & Samra, J.S. (2001). Prioritiz<strong>in</strong>gerosion-prone areas <strong>in</strong> hills us<strong>in</strong>g remote sens<strong>in</strong>g and GIS: a casestudy of the Sukhna Lake catchment, Northern India. Environ.Modell<strong>in</strong>g and Software 3, 54−60.Silva, R.M., Santos, C.A.G.; Silva, L.P., Silva, J.F.C.B.C. (2007).Soil loss prediction <strong>in</strong> Guaraíra river experimental bas<strong>in</strong>, Paraíba,Brazil based on two erosion simulation models. Revista Ambi-Agua 2(3), 19−33.Sorooshian, S., Duan, Q. & Gupta, V.K. (1993). Calibration ofra<strong>in</strong>fall-runoff models: application of global optimisation to thesacramento soil moisture account<strong>in</strong>g model. Water Resour. Res.29(4), 1185−1194.SUDENE (1987). Levantamento exploratório-reconhecimento desolos do Estado da Paraíba. Recife, SUDENE, 350 p.Van der Sweep, R.A. (1992). Evaluation of the Water ErosionPrediction Project’s <strong>watershed</strong> version hydrologic component ona semi-arid rangeland <strong>watershed</strong>. Thesis, University of Arizona,Tucson.Vriel<strong>in</strong>g. A. (2006). Satellite remote sens<strong>in</strong>g for water erosionassessment: a review. Catena 65, 2−18.Wischmeier,W.H. & Smith, D.D. (1978). Predict<strong>in</strong>g ra<strong>in</strong>fall erosionlosses. Adm<strong>in</strong>. U.S. Dept. Agr. Wash<strong>in</strong>gton, D.C. AgricultureHandbook. Sci. and Educ., n. 357, 58 p.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.44-52, 2007


ISSN 1982-3932J U E EJournal of Urban and EnvironmentalEng<strong>in</strong>eer<strong>in</strong>g, v.1, n.2 (2007) 53–60ISSN 1982-3932doi: 10.4090/juee.2007.v1n2.053060Journal of Urban andEnvironmental Eng<strong>in</strong>eer<strong>in</strong>gwww.journal-uee.orgDESIGN AND DEVELOPMENT OF A 1/3 SCALE VERTICALAXIS WIND TURBINE FOR ELECTRICAL POWERGENERATIONAltab Hossa<strong>in</strong> 1∗ , A.K.M.P. Iqbal 1 , Ataur Rahman 2 , M. Arif<strong>in</strong> 1 and M. Mazian 11 Department of Mechanical Eng<strong>in</strong>eer<strong>in</strong>g, Faculty of Eng<strong>in</strong>eer<strong>in</strong>g, Universiti Industri Selangor, Malaysia2 Department of Mechanical Eng<strong>in</strong>eer<strong>in</strong>g, International Islamic University Malaysia, MalaysiaReceived 13 May 2007; received <strong>in</strong> revised form 3 November 2007; accepted 5 November 2007Abstract:Keywords:This research describes the electrical power generation <strong>in</strong> Malaysia by the measurementof w<strong>in</strong>d velocity act<strong>in</strong>g on the w<strong>in</strong>d turb<strong>in</strong>e technology. The primary purpose of themeasurement over the 1/3 scaled prototype vertical axis w<strong>in</strong>d turb<strong>in</strong>e for the w<strong>in</strong>dvelocity is to predict the performance of full scaled H-type vertical axis w<strong>in</strong>d turb<strong>in</strong>e.The electrical power produced by the w<strong>in</strong>d turb<strong>in</strong>e is <strong>in</strong>fluenced by its two major part,w<strong>in</strong>d power and belt power transmission system. The blade and the drag area systemare used to determ<strong>in</strong>e the powers of the w<strong>in</strong>d that can be converted <strong>in</strong>to electric poweras well as the belt power transmission system. In this study both w<strong>in</strong>d power and beltpower transmission system has been considered. A set of blade and drag devices havebeen designed for the 1/3 scaled w<strong>in</strong>d turb<strong>in</strong>e at the Thermal Laboratory of Faculty ofEng<strong>in</strong>eer<strong>in</strong>g, Universiti Industri Selangor (UNISEL). Test has been carried out on thew<strong>in</strong>d turb<strong>in</strong>e with the different w<strong>in</strong>d velocities of 5.89 m/s, 6.08 m/s and 7.02 m/s.From the experiment, the w<strong>in</strong>d power has been calculated as 132.19 W, 145.40 W and223.80 W. The maximum w<strong>in</strong>d power is considered <strong>in</strong> the present study.Belt power transmission system; Reynolds number; w<strong>in</strong>d power; w<strong>in</strong>d turb<strong>in</strong>e© 2007 Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE). All rights reserved.∗ Correspondence to: Altab Hossa<strong>in</strong>, Tel.: +6-03 3280 5122 Ext 7187; Fax: +6-03 3289 7335.E-mail: altab75@unisel.edu.my


Hossa<strong>in</strong>, Iqbal, Rahman, Arif<strong>in</strong> and Mazian55longer, and allow for better surge protection andground<strong>in</strong>g. The United States Department of Energy hasrecently set up a schedule to implement the latestresearch <strong>in</strong> order to build w<strong>in</strong>d turb<strong>in</strong>es with a higherefficiency rat<strong>in</strong>g than is now possible (the efficiency ofan ideal w<strong>in</strong>d turb<strong>in</strong>e is 59.3 percent (Milligan & Artig,1999). That is, 59.3 percent of the w<strong>in</strong>d’s energy can becaptured. Turb<strong>in</strong>es <strong>in</strong> actual use are about 30 percentefficient). The United States Department of Energy hasalso contracted three corporations to <strong>in</strong>vestigate ways toreduce mechanical failure. This project began <strong>in</strong> thespr<strong>in</strong>g of 1992 and will extend to the end of the century.W<strong>in</strong>d turb<strong>in</strong>es will become more prevalent <strong>in</strong> upcom<strong>in</strong>gyears. The turn of the century should see w<strong>in</strong>d turb<strong>in</strong>esthat are properly placed, efficient, durable, andnumerous. From the <strong>in</strong>vestigation of this w<strong>in</strong>d turb<strong>in</strong>ebackground, an H-type, vertical axis w<strong>in</strong>d turb<strong>in</strong>e hasbeen designed and built <strong>in</strong> thermal LaboratoryUniversiti Industri Selangor that has the capability toself-start. In addition, this turb<strong>in</strong>e has been designed toallow a variety of modifications such as blade profileand pitch<strong>in</strong>g to be tested. The first part of the designprocess, which <strong>in</strong>cluded research, bra<strong>in</strong>storm<strong>in</strong>g,eng<strong>in</strong>eer<strong>in</strong>g analysis, turb<strong>in</strong>e design selection, andprototype test<strong>in</strong>g have been <strong>in</strong>corporated. Us<strong>in</strong>g dataobta<strong>in</strong>ed through proper <strong>in</strong>vestigation results, the f<strong>in</strong>alfull-scale turb<strong>in</strong>e has been designed and built.W<strong>in</strong>d turb<strong>in</strong>es can be separated <strong>in</strong>to two types basedby the axis <strong>in</strong> which the turb<strong>in</strong>e rotates namelyhorizontal axis w<strong>in</strong>d turb<strong>in</strong>e (HAWT) and the verticalaxis w<strong>in</strong>d turb<strong>in</strong>e (VAWT). HAWT has difficultyoperat<strong>in</strong>g <strong>in</strong> near ground, turbulent w<strong>in</strong>ds because theiryaw and blade bear<strong>in</strong>g need smoother, more lam<strong>in</strong>arw<strong>in</strong>d flows, difficult to <strong>in</strong>stall need<strong>in</strong>g very tall andexpensive cranes and skilled operators, downw<strong>in</strong>dvariants suffer from fatigue and structural failure causedby the turbulence and height can be a safety hazard forlow-altitude aircraft. Other than that, the aerodynamicsof a horizontal-axis w<strong>in</strong>d turb<strong>in</strong>e is complex. The airflow at the blades is not the same as the airflow faraway from the turb<strong>in</strong>e. The very nature of the way <strong>in</strong>which energy is extracted from the air also causes air tobe deflected by the turb<strong>in</strong>e. In addition, theaerodynamics of a w<strong>in</strong>d turb<strong>in</strong>e at the rotor surface<strong>in</strong>cludes effects that are rarely seen <strong>in</strong> otheraerodynamic fields. A wide variety of VAWTconfigurations have been proposed. The Darrieusvertical type w<strong>in</strong>d turb<strong>in</strong>e is the most common and usused extensively for power generation. However, theDarrieus turb<strong>in</strong>e suffered from structural problems aswell as a poor energy market.To improve the performance of a w<strong>in</strong>d turb<strong>in</strong>e, thisstudy has been concentrated on design and built an 1/3scale H-type, vertical axis w<strong>in</strong>d turb<strong>in</strong>e that has thecapability to self-start due to the w<strong>in</strong>d flow and efficientperformance of the VAWT that could lead to a change<strong>in</strong> the standard th<strong>in</strong>k<strong>in</strong>g of how w<strong>in</strong>d energy isharnessed, and may spur future VAWT design andresearch. The study on the enhanced performance of thew<strong>in</strong>d turb<strong>in</strong>e is also given by <strong>in</strong>corporat<strong>in</strong>g dragdevices.WIND TURBINE DESIGNTheoretical analysisThe belt drive system consists of several parts of thebelt drive calculation and the V–Type belt is considered<strong>in</strong> this study. Thus the ma<strong>in</strong> calculation that has beendone at this system are angle of wrap for small and largepulley, belt length, pulley speed, the tension ratio andthe power transmitted by the belt. The structure of theV-belt is shown <strong>in</strong> Fig. 1, which illustrates the ma<strong>in</strong>parts <strong>in</strong> V-belt such as the large pulley diameter<strong>in</strong>dicated by the number 3 and the small pulley by thenumber 2 and the angle of wrap of large pulley<strong>in</strong>dicated by θ 3 and small pulley by θ 2 . C <strong>in</strong>dicates thecentered radius between large and small pulleys.2θ 2θ 33Fig. 1 The structure of the V-belt.Angle of wrap for large pulleyAngle of wrap for large pulley is def<strong>in</strong>ed as (Joseph etal., 2004)−1 3 2θ = °+ (1)3180 2s<strong>in</strong>D − D2CUs<strong>in</strong>g large pulley diameter D 3 as 30.48 × 10 -2 m, smalldiameter D 2 as 5.08 × 10 -2 m and the radius C as 0.3048m <strong>in</strong> Eq. (1), the angle of wrap for the large pulley isobta<strong>in</strong>ed as θ 3 = 229.25°.Angle of wrap for small pulleyAngle of wrap for small pulley is def<strong>in</strong>ed as (Joseph etal., 2004)−1 3 2θ = °− (2)2180 2s<strong>in</strong>D − D2CUs<strong>in</strong>g the same values as mentioned above <strong>in</strong> Eq. (2),angle of wrap for the small pulley is obta<strong>in</strong>ed as θ 2 =130.75°.CJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.53-60, 2007


Hossa<strong>in</strong>, Iqbal, Rahman, Arif<strong>in</strong> and Mazian56Centered radius lengthCentered radius length is def<strong>in</strong>ed as (Joseph et al.,2004)( D − D ) 2πL C ( D D )2 4C3 2= 2 +3+2+ (3)Us<strong>in</strong>g large pulley diameter D 3 of 30.48 × 10 -2 m,small pulley diameter D 2 as 5.08 × 10 -2 m and thecentered radius C as 0.3048 m <strong>in</strong> Eq. (3), the radiuslength is obta<strong>in</strong>ed as L =1.221 m.Tension ratio tide side over slack sideTension ratio of tide side over slack side is def<strong>in</strong>ed as(Joseph et al., 2004):TT( )⎡µθ⎤13= ln ⎢ ⎥22.3⎣⎦(4)Us<strong>in</strong>g tension at tide side T 1 as 166.77N, tension atslack side T 2 as 107.94N and pulley velocity V as 2.84m/s <strong>in</strong> Eq. (7), power transmitted by the belt is obta<strong>in</strong>edas P B = 167.08 W.Prototype designThe components of the 1/3 scaled vertical axis w<strong>in</strong>dturb<strong>in</strong>e are designed by us<strong>in</strong>g the CATIA software <strong>in</strong>the Structural Laboratory <strong>in</strong> Unisel and assembledtogether to predict the full scale. The w<strong>in</strong>d turb<strong>in</strong>e is athree bladed with tapered w<strong>in</strong>g sections connected to therotor of the generator and has been tested at an openhall. The corner sharp has been used as aerofoil for thew<strong>in</strong>d turb<strong>in</strong>e blade by produc<strong>in</strong>g a controllableaerodynamic force with its motion through the w<strong>in</strong>dflow as shown <strong>in</strong> Fig. 2. The other ma<strong>in</strong> componentsthat have been designed and used to construct the w<strong>in</strong>dturb<strong>in</strong>e are described <strong>in</strong> the follow<strong>in</strong>g sections.where, the coefficient of belt friction µ is 0.25, θ 3 is theaforementioned angle of wrap of small pulley <strong>in</strong> radians(4 rad), T 1 is tension at tide side and T 2 is tension atslack side.Us<strong>in</strong>g the values as mentioned above <strong>in</strong> Eq. (4),tension ratio of tide side over slack side is obta<strong>in</strong>ed asT 1 /T 2 = 1.545.Tide side belt tensionTension of tide side is def<strong>in</strong>ed as (Sorge, 1996)T 1 = Wg (5)By choos<strong>in</strong>g the total weight W of the upper part ofturb<strong>in</strong>e as 17 kg and adopt<strong>in</strong>g gravitational accelerationg as 9.81 m/s 2 <strong>in</strong> Eq. (5), tension of tide side is obta<strong>in</strong>edas T 1 = 166.77 N.Fig. 2 The shape of Aerofoil with 139.7 mm chord.Base and Base TableThe base material has been chosen as steel s<strong>in</strong>ce itstands 6096 mm high and weighs 15 kg, and on its ownthe base does not support the torque and momentsproduced from the w<strong>in</strong>d turb<strong>in</strong>e, so a base extension anda connect<strong>in</strong>g bracket have been designed. To connectthe 4 sheets of steel bracket to the steel base a bottombracket made of 38.10 mm × 762 mm steel has beenused. The 38.10 mm × 38.10 mm structure providesquick assembly and disassembly of the turb<strong>in</strong>e basestructure.Slack side belt tensionUs<strong>in</strong>g the value of T 1 <strong>in</strong> Eq. (4), tension of slack side isobta<strong>in</strong>ed as T 2 = 107.94 N.Pulley velocityVelocity of pulley is def<strong>in</strong>ed as (Joseph et al., 2004)3V πDN= (6)60Power transmitted by the beltThe power transmitted by the belt is def<strong>in</strong>ed as (Josephet al., 2004)P B = (T 1 – T 2 )V (7)Fig. 3 Base table.The bottom bracket requires four simple cornerwelds and flat head bolts welded <strong>in</strong> position thatencourage quick assembly. Four sheets of 1219.20 mmJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.53-60, 2007


Hossa<strong>in</strong>, Iqbal, Rahman, Arif<strong>in</strong> and Mazian57× 2438.40 mm × 19.05 mm have been used to constructa base extension that gives a larger footpr<strong>in</strong>t on whichweights are placed. The ma<strong>in</strong> sheet is oriented with twosheets side-by-side, with two other sheets on top at 90degrees rotation to the bottom two sheets. This creates abase table of 2438.40 mm × 2438.40 mm dimensions asshown <strong>in</strong> Fig. 3.on the device, which has operated successfully. Beforestart<strong>in</strong>g the operation, the battery term<strong>in</strong>al and alternatorterm<strong>in</strong>al are checked properly and it is connected withthe lamp and switch. Then the w<strong>in</strong>d turb<strong>in</strong>e is allowedto rotate. Due to the rotation of the w<strong>in</strong>d turb<strong>in</strong>e bladevoltage is produced and the connected lamps are turnedon (Fig. 5).Shaft and Bear<strong>in</strong>gsThe shaft used <strong>in</strong> this design is the type of polishaft andits weight is 14 kg, be<strong>in</strong>g made from steel. The diameterof the shaft is 30 mm and its length is 2133.6 mm. Itssurfaces are very soft and make the shaft rotation verysmooth when attached to the bear<strong>in</strong>g. M<strong>in</strong>imiz<strong>in</strong>g therequired start-up torque is essential for the w<strong>in</strong>d turb<strong>in</strong>eto self-start and thus, the success of the project. Thebear<strong>in</strong>gs that are used <strong>in</strong> the w<strong>in</strong>d turb<strong>in</strong>e design are notsalvageable.Bear<strong>in</strong>gs are very expensive, and for the particularsetup two roller bear<strong>in</strong>gs have been used that areprimarily centralized with the shaft. This comb<strong>in</strong>ationprovides the least amount of friction, while maximiz<strong>in</strong>gbear<strong>in</strong>g life and ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g safe operat<strong>in</strong>g conditions.The diameters of the bear<strong>in</strong>gs are 88 mm and weights300 g each.Support Arm and Drag DeviceSteel is used for the three support radial arms toma<strong>in</strong>ta<strong>in</strong> a lightweight assembly with m<strong>in</strong>imal <strong>in</strong>ertial,moment, and centrifugal forces. The connect<strong>in</strong>g armsprovide a means to mount the blades to the center shaft.A drag device has been made from a lightweight plastic(cast<strong>in</strong>g plastic) and mounted to the ma<strong>in</strong> shaft. Thelength of the drag device is about 762 mm and width is182.88 mm.Fig. 4 F<strong>in</strong>al assembly of the prototype w<strong>in</strong>d turb<strong>in</strong>e.W<strong>in</strong>d Turb<strong>in</strong>e Blade DesignThe top and bottom of each blade is a 1066.8 mm ×139.7 mm × 50.8 mm deep rectangular section to allowfor easier connections to the radial arms and passivepitch<strong>in</strong>g system. In this study the corner sharp has beenselected as the shape of the blade for its very highcapability to face the resistance of w<strong>in</strong>d flow and fasterrotation dur<strong>in</strong>g the w<strong>in</strong>d flow.The f<strong>in</strong>al assembly of the w<strong>in</strong>d turb<strong>in</strong>e has been setat Thermal Laboratory <strong>in</strong> Universiti Industri Selangorand is shown <strong>in</strong> Fig. 4. There are 18 parts and 15 screwscomb<strong>in</strong>ed together <strong>in</strong> the assembly process. The shaft isconnected to the ma<strong>in</strong> parts and to the alternator dur<strong>in</strong>gthe full assembly of this vertical axis w<strong>in</strong>d turb<strong>in</strong>e.Experimental ProcedureThe prototype of the Unisel w<strong>in</strong>d turb<strong>in</strong>e is <strong>in</strong>stalled atthe Thermal Laboratory <strong>in</strong> Universiti Industri Selangorand a number of prelim<strong>in</strong>ary tests have been carried outFig. 5 Experiment of power generation with w<strong>in</strong>d turb<strong>in</strong>e.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.53-60, 2007


Hossa<strong>in</strong>, Iqbal, Rahman, Arif<strong>in</strong> and Mazian58Table 1. Free stream velocity and Reynolds numberSerial NumberFree streamvelocity (m/s)Reynolds number1 5.89 0.49 × 10 52 6.08 0.51 × 10 53 7.02 0.58 × 10 5The produced voltage read<strong>in</strong>gs and the respectiveturb<strong>in</strong>e rotations are recorded. The ambient pressure andtemperature are recorded us<strong>in</strong>g the manometer andthermometer for the evaluation of air density <strong>in</strong> theLaboratory environment of Universiti Industri Selangor.The power produced by the w<strong>in</strong>d speed is alsocalculated which is shown <strong>in</strong> the specimen calculationsection. The ma<strong>in</strong> test is performed at open hall <strong>in</strong> theThermal Laboratory of Faculty of Eng<strong>in</strong>eer<strong>in</strong>g,UNISEL, where w<strong>in</strong>d speeds are measured between 4and 6 m/s, with gusts up to 7 m/s.Dur<strong>in</strong>g the test, the turb<strong>in</strong>e has been run based on thedesign, then the blades are opened and the w<strong>in</strong>d hasbeen propelled, and f<strong>in</strong>ally it has been checked aboutsufficient production of lift when the blades are closed.It has been seemed as though the turb<strong>in</strong>e would slowdown too much <strong>in</strong> the regions where lift is not producedthus the blades are kept open<strong>in</strong>g up just to allowrotation. Next the blades have been opened to check themaximum atta<strong>in</strong>able rotational speed <strong>in</strong> the dragposition. In this position it is observed that there isplenty of w<strong>in</strong>dswept area to rotate the turb<strong>in</strong>e.Specimen calculationAbsolute pressure p = 1.01 × 10 5 N/m 2 and temperature,T = 38.5 o C = 311.5K. Us<strong>in</strong>g equations of state forperfect gas the air density, ρ ∞ is 1.13 kg/m 3 and isdef<strong>in</strong>ed as (Bert<strong>in</strong>, 2002):pρ∞=(8)RTwhere, pressure p is 1.01 × 10 5 N/m 2 , temperature T is311.5 K, and gas constant of air R is 287.05 Nm/kg K.The air viscosity, µ ∞ is determ<strong>in</strong>ed us<strong>in</strong>g theSutherland’s equation (Bert<strong>in</strong>, 2002) described below1⋅5−6Tµ∞= 1.458×10(9)T + 110.4where µ ∞ is the dynamic viscosity.At T of 311.5 K, Eq. (9) gives value of µ ∞ of 1.90 ×10 -5 kg/m s. Reynolds number based on the chord lengthis def<strong>in</strong>ed as (Anderson, 1996).ρ vc= (10)µ∞ ∞Re∞Us<strong>in</strong>g air density ρ ∞ of 1.13 kg/m 3 , free streamvelocity ν ∞ of 5.89 m/s; dynamic viscosity µ ∞ of 1.90 ×10 -5 kg/m s and chord length c of 0.1397 m <strong>in</strong> Eq. (10),Reynolds number is obta<strong>in</strong>ed as Re = 0.49 × 10 5 .For the rema<strong>in</strong><strong>in</strong>g velocities the correspond<strong>in</strong>gReynolds numbers are given <strong>in</strong> Table 1. For arectangular blade, frontal surface area for a s<strong>in</strong>glesurface is def<strong>in</strong>ed as (Bert<strong>in</strong>, 2002):S = bc (11)For a w<strong>in</strong>d turb<strong>in</strong>e, total frontal surface area S T is1.145 m 2 and is def<strong>in</strong>ed as (Bert<strong>in</strong>, 2002):S T = (S 1 ) T + (S 2 ) T (12)where, the total frontal area for blade (S 1 ) T is 0.4482 m 2and the total frontal area for drag surface (S 2 ) T is 0.6968m 2 .W<strong>in</strong>d power of the turb<strong>in</strong>e is def<strong>in</strong>ed as (Bench &Cloud, 2004)Pw<strong>in</strong>d13= ρ∞STv(13)∞2where, the density of air ρ ∞ is 1.130kg/m 3 , the totalfrontal area S T is 1.145m 2 , and w<strong>in</strong>d velocity ν ∞ is 5.89m/s.Putt<strong>in</strong>g the values <strong>in</strong>to Eq. (13), we have:P31 ⎡kg ⎛m⎞⎤= × 1.130× 1.145× 5.89 × m × ⎜ ⎟ ⎥2 ⎢⎣m ⎝ s ⎠ ⎥⎦P w<strong>in</strong>d = 132.19 W3 2w<strong>in</strong>d ⎢ 3For the rema<strong>in</strong><strong>in</strong>g velocities correspond<strong>in</strong>g w<strong>in</strong>dpower are given <strong>in</strong> Table 2.RESULTS AND DISCUSSIONSExperiments have been carried out at open hall UNISELat the three different velocities of 5.89 m/s, 6.08m/s and7.02 m/s. Based on the measurement of velocity thew<strong>in</strong>d power for this prototype is calculated at theprevious section and is given <strong>in</strong> Table 2. The calculatedvalues for the Reynolds number <strong>in</strong> Table 1 have beenpresented <strong>in</strong> the previous section.The further understand<strong>in</strong>g of the relationshipbetween the variables measured as velocity as well ascalculated w<strong>in</strong>d power and Reynolds number from thetest conducted has been discussed <strong>in</strong> term of graphs.Table 2. Velocities and Correspond<strong>in</strong>g w<strong>in</strong>d powerSerial No. Velocities (m/s) W<strong>in</strong>d power (W)1 5.89 132.192 6.08 145.403 7.02 223.80Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.53-60, 2007


Hossa<strong>in</strong>, Iqbal, Rahman, Arif<strong>in</strong> and Mazian59Reynolds numberThe higher values <strong>in</strong> Reynolds number <strong>in</strong>dicate the w<strong>in</strong>dturb<strong>in</strong>e has ability to produce more power due to<strong>in</strong>crease <strong>in</strong> value of the w<strong>in</strong>d velocity and this value iscalculated and recorded <strong>in</strong> tests conducted at the w<strong>in</strong>dvelocity of 7.02 m/s.The Aerofoil geometrySelect<strong>in</strong>g appropriate aerofoil to a 3-bladed vertical axisw<strong>in</strong>d turb<strong>in</strong>e is one of the most important designdecisions. Different profiles provide various advantagesand disadvantages that must be considered. However,the affection of this w<strong>in</strong>d flow due to airfoils or bladesis very small and the amount of the force that dependson the blade dur<strong>in</strong>g the rotation has been ignored. Inaddition, the blade that has been designed and used <strong>in</strong>this model is not considered as NACA 0012 or NACA0015 which are preferable <strong>in</strong> the low Reynolds numberrange, but the shapes selected <strong>in</strong> the current project stillresponded and acted with a very high durability andefficient functional to the shaft to rotate dur<strong>in</strong>g the w<strong>in</strong>dflow.The Drag Devices geometryThe drag devices that have been used <strong>in</strong> current projectprovide external support to the blade by collect<strong>in</strong>g themaximum amount of w<strong>in</strong>d flow and <strong>in</strong>itializ<strong>in</strong>g therotation of the blade and the shafts. The drag devices arevery sensitive to small amounts of the w<strong>in</strong>d flow and italways causes the blades and shaft to rotate even thew<strong>in</strong>d velocity is very small <strong>in</strong> magnitude at theconsidered location. Dur<strong>in</strong>g the test conducted on thismodel the w<strong>in</strong>d has been blocked by one of the opendrag, and diverted around the other. This is factoriz<strong>in</strong>gthe net torque which drives the open drag around theshaft and <strong>in</strong>duces rotation of the turb<strong>in</strong>e, which leads tocentrifugal forces. The rotational speed is <strong>in</strong>creaseduntil a critical po<strong>in</strong>t at which the turb<strong>in</strong>e is mov<strong>in</strong>g fastenough to be driven by the lift forces. Theopen<strong>in</strong>g/clos<strong>in</strong>g of drag mechanism is designed suchthat the centrifugal forces overcome the <strong>in</strong>ertial forcesand direct forces at this critical speed. In particular, thedevice has a very strong torque characteristic at low tipspeed ratio, which means it is a self-start<strong>in</strong>g. However,difficulties with commission<strong>in</strong>g of the torquemeasurement and control systems have delayed theacquisition of def<strong>in</strong>ite test data to date.Turb<strong>in</strong>e feasibility comparisonsThe calculated w<strong>in</strong>d power from the current 1/3 scalew<strong>in</strong>d turb<strong>in</strong>e and the overall comparisons of the exist<strong>in</strong>gturb<strong>in</strong>e accord<strong>in</strong>g to the type of connection used and theestimated costs are shown <strong>in</strong> Table 3.The University of Wollongong project has producedthe maximum w<strong>in</strong>d power which of 700 W us<strong>in</strong>g aTable 3. Feasibility comparison of different w<strong>in</strong>d turb<strong>in</strong>eUniversity Type of W<strong>in</strong>d Power CostResearch connection velocity (m/s) (W) (US$)Wollongong Gear<strong>in</strong>g System 25 700 820Griffith Gear<strong>in</strong>g System 20 550 673UNISEL Belt & Pulley 6 167 253gear<strong>in</strong>g system and Griffith University has producedelectrical power of 550 W us<strong>in</strong>g a similar system(Cooper & Kennedy, 2003; Kirke, 2003). The testedprototype <strong>in</strong> current project has been produced 167 Wus<strong>in</strong>g the belt and pulley system. Accord<strong>in</strong>g to theevaluation of w<strong>in</strong>d velocities, the current model canexceed the exist<strong>in</strong>g models if the w<strong>in</strong>d velocity is<strong>in</strong>creased. The current prototype would be capable toproduce 567.33 W when the w<strong>in</strong>d velocity <strong>in</strong>creases to20 m/s and 709.17 W when the w<strong>in</strong>d velocity <strong>in</strong>creasesto 25 m/s. This overall comparison presents evidencethat the current prototype, which uses the pulley andbelt systems, is more feasible than the other models thatuses the gear<strong>in</strong>g system <strong>in</strong> terms of cost and to producepower.ConclusionThe conclusions drawn from this <strong>in</strong>vestigation are asfollows:(a) W<strong>in</strong>d power produced by the prototype <strong>in</strong>creasesmaximum of 1000 W with the <strong>in</strong>crease ofmaximum w<strong>in</strong>d velocity of about 12 m/s.(b) From the <strong>in</strong>vestigation there is evidence that thecurrent prototype is capable to produce 567.33 Wwhen the w<strong>in</strong>d velocity <strong>in</strong>creases to 20 m/s and 709W when the w<strong>in</strong>d velocity <strong>in</strong>creases to 25 m/s.NomenclatureSymbol Mean<strong>in</strong>g Unitp Absolute pressure (N/m²)T Temperature (K)R Gas constant (Nm/kg K)ρ ∞ Air density (kg/m³)µ ∞ Air viscosity (kg m/s)ν ∞ Free stream velocity (m/s)c Chord length (m)R e Reynolds number (Dimensionless)B Blade height (m)S 1 Blade frontal surface area (m²)S 2 Drag device frontal area (m²)S T Total frontal area (m²)P w<strong>in</strong>d W<strong>in</strong>d power (W)Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.53-60, 2007


Hossa<strong>in</strong>, Iqbal, Rahman, Arif<strong>in</strong> and Mazian60Acknowledgment The authors are grateful for thesupport provided by f<strong>in</strong>ancial assistance from theUniversiti Industri Selangor, and faculty of Eng<strong>in</strong>eer<strong>in</strong>gfor the overall facilities.REFERENCESAnderson, J.D.Jr. (1999) Aircraft Performance and Design. McGrawHill Companies Inc., U.S.A.Bench, S.E., Cloud, P.K. (2004) The Measure, Predict and Calculatethe Power response of an Operat<strong>in</strong>g W<strong>in</strong>d Turb<strong>in</strong>e. 1 st Ed.,London, Jepson Pub, 366 p.Bert<strong>in</strong>, J. J. (2002) Aerodynamics for the Eng<strong>in</strong>eer. New Jersey,Prentice Hall, Inc., U.S.A.Cooper, P., Kennedy, O. (2003) Development and Analysis of aNovel Vertical Axis W<strong>in</strong>d Turb<strong>in</strong>e. Bachelor. Thesis, Universityof Wollongong, NSW 2522, Australia.Fitzwater, L.M., Cornell, C.A., Veers, P.S. (1996) Us<strong>in</strong>gEnvironmental Contours to Predict Extreme Events on W<strong>in</strong>dTurb<strong>in</strong>es. W<strong>in</strong>d Energy Symp., AIAA/ASME, 9, 244–258.Hammons, T.J. (2004) Technology and Status of Developments <strong>in</strong>Harness<strong>in</strong>g the World’s Untapped W<strong>in</strong>d-Power Resources.Electricity Power Components and Systems. No.12, p. 32.Joseph, E.S, Charles, R.M, Richard, G.B. (2004) MechanicalEng<strong>in</strong>eer<strong>in</strong>g Design. 7 th Ed., United State of America. p. 1030.Keith, David W. (2005) The Influence of Large-Scale W<strong>in</strong>d Poweron Global Climate. Proc. National Academy of Sciences,Wash<strong>in</strong>gton D.C, Vol. 101, pp. 12–56.Kirke, B.K. (2003) Evaluation of self-start<strong>in</strong>g vertical axis w<strong>in</strong>dturb<strong>in</strong>es for stand alone applications. PhD Thesis, GriffithUniversity, Australia.Milligan, M.R. & Artig, R. (1999) Choos<strong>in</strong>g W<strong>in</strong>d Power PlantLocations and Sizes Based on Electric Reliability Measures Us<strong>in</strong>gMultiple-Year W<strong>in</strong>d Speed Measurements. National RenewableEnergy Laboratory, 8, 52p.Monett, G., Poloni, C. & Diviacco, B. (1994) Optimization of w<strong>in</strong>dturb<strong>in</strong>e position<strong>in</strong>g <strong>in</strong> w<strong>in</strong>d farms by means of large development.J. of W<strong>in</strong>d Engng and Ind. Aerod 23(4), 105–16Sorge, F. (1996) A qualitative-quantitative approach to v-beltmechanics. ASME, J. of Mechanical Design 118(8).Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.53-60, 2007


ISSN 1982-3932J U E EJournal of Urban and EnvironmentalEng<strong>in</strong>eer<strong>in</strong>g, v.1, n.2 (2007) 61–69ISSN 1982-3932doi: 10.4090/juee.2007.v1n2.061069Journal of Urban andEnvironmental Eng<strong>in</strong>eer<strong>in</strong>gwww.journal-uee.orgSTUDY OF SENSITIVITY OF THE PARAMETERS OF AGENETIC ALGORITHM FOR DESIGN OF WATERDISTRIBUTION NETWORKSPedro L. Iglesias ∗ , Daniel Mora, F. Javier Mart<strong>in</strong>ez and Vicente S. FuertesMultidiscipl<strong>in</strong>ar Center of Fluids Model<strong>in</strong>g (CMMF), Polytechnical University of Valencia, Spa<strong>in</strong>Received 11 May 2007; received <strong>in</strong> revised form 15 June 2007; accepted 19 August 2007Abstract:Keywords:The Genetic Algorithms (GAs) are a technique of optimization used for waterdistribution networks design. This work has been made with a modified pseudo geneticalgorithm (PGA), whose ma<strong>in</strong> variation with a classical GA is a change <strong>in</strong> thecodification of the chromosomes, which is made of numerical form <strong>in</strong>stead of theb<strong>in</strong>ary codification. This variation entails a series of special characteristics <strong>in</strong> thecodification and <strong>in</strong> the def<strong>in</strong>ition of the operations of mutation and crossover. Initially,the work displays the results of the PGA on a water network studied <strong>in</strong> the literature.The results show the k<strong>in</strong>dness of the method. Also is made a statistical analysis of theobta<strong>in</strong>ed solutions. This analysis allows verify<strong>in</strong>g the values of mutation and cross<strong>in</strong>gprobability more suitable for the proposed method. F<strong>in</strong>ally, <strong>in</strong> the study of the analyzedwater supply networks the concept of reliability <strong>in</strong> <strong>in</strong>troduced. This concept is essentialto understand the validity of the obta<strong>in</strong>ed results. The second part, start<strong>in</strong>g with valuesoptimized for the probability of cross<strong>in</strong>g and mutation, the <strong>in</strong>fluence of the populationsize is analyzed <strong>in</strong> the f<strong>in</strong>al solutions on the network of Hanoi, widely studied <strong>in</strong> thebibliography. The aim is to f<strong>in</strong>d the most suitable configuration of the problem, so thatgood solutions are obta<strong>in</strong>ed <strong>in</strong> the less time.Algorithms; design; water networks; reliability© 2007 Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE). All rights reserved.∗ Correspondence to: Pedro L. Iglesias Rey, Tel.: +34 96 3 879890; Fax: +34 96 3879781.E-mail: mpiglesia@gmmf.upv.es


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes62INTRODUCTIONThe design of water distribution networks is extremelycomplex. It is well-known that when the diameters ofthe conductions are chosen as decision variables, therestrictions are implied functions of these variables ofdecision, so the space’s region of solutions is a noconvex type and the objective function becomesmultimodal. Traditionally, water distribution networkdesign, upgrade, or rehabilitation has been based oneng<strong>in</strong>eer<strong>in</strong>g judgment.However, <strong>in</strong> the last three decades a significantamount of research has focused on the optimal design ofwater distribution networks. Initially, researchers haveused l<strong>in</strong>ear programm<strong>in</strong>g to optimize a design of a pipenetwork (Alperovits & Shamir, 1977). Later <strong>studies</strong>applied nonl<strong>in</strong>ear programm<strong>in</strong>g to the network designproblems. Some examples are Su et al. (1987) that usednon l<strong>in</strong>ear programm<strong>in</strong>g to optimize looped pipenetworks or Lansey & Mays (1989), whose model wasable to simulate pumps, tanks and multiple load<strong>in</strong>gcases.The application of heuristic techniques ofoptimization allows the search beyond these localm<strong>in</strong>imums, which generally ample the field search andwith it the capacity to obta<strong>in</strong> better solutions. Theevolutionary algorithms are methods of search ofsolutions that are based <strong>in</strong> the natural beg<strong>in</strong>n<strong>in</strong>g of theevolution. Inside the evolutionary algorithms, we canf<strong>in</strong>d Genetic Algorithms (GA), Particle Swarm Optimization(PSO), Ant Colony, Harmony Search, and so on.Some <strong>in</strong>vestigators have compared these techniquesto each other (Zecch<strong>in</strong> et al., 2007), but it is difficult tosay that one of them is clearly better than the others.Genetics algorithms (GAs) are a search<strong>in</strong>g methodbased on Darw<strong>in</strong>´s evolution theory (Holland, 1992). Itworks identically to the evolution of a population that isput under similar random actions to which they act <strong>in</strong>the biological evolution (mutations and geneticrecomb<strong>in</strong>ation). The <strong>in</strong>dividuals best adapted surviveand the less ones are discarded, based <strong>in</strong> someestablished criteria.Most of these methods, for a given network layoutand demand, consider the m<strong>in</strong>imization cost of a pipenetwork as the objective. In the field of hydrauliceng<strong>in</strong>eer<strong>in</strong>g, previous works like those of Goldberg(1987), Savic & Walters (1997), Iglesias et al. (2006),Fujiwara & Khang (1990) or Cunha & Sousa (1999),reflects the importance that these algorithms areimplement<strong>in</strong>g <strong>in</strong> the optimal design of water distributionnetworks.Branched water distribution networks will havesevere consequences <strong>in</strong> terms of reliability under failureconditions. To improve the performance of a waterdistribution network under failure conditions, Goulter &Bouchart (1990) have solved a reliability constra<strong>in</strong>edleast cost optimization problem.Loops <strong>in</strong> a network <strong>in</strong>crease its reliability, so that thesystem will have sufficient capacity to deliver dur<strong>in</strong>gmechanical or hydraulic failures. Mora et al. (2006)uses GA for compare design of water distributionsystems with and without reliability <strong>in</strong> the network.However, explicit consideration of reliability <strong>in</strong> anoptimization model is difficult, and there are nouniversally accepted def<strong>in</strong>itions for reliability.In the same way, GAs have been used for waternetwork rehabilitation (Halhal et al., 1997) and for thecalibration of water distribution models (Balla &L<strong>in</strong>gireddy, 2000), where the manual adjustment ofuncerta<strong>in</strong> parameters as the pipe roughness coefficientsand the water demand at nodes is highly <strong>in</strong>efficient andoften unsuccessful.This work shows the development of a method forthe optimal design of water distribution networks basedon the GA use. The aim is to m<strong>in</strong>imize the necessarycosts of <strong>in</strong>vestment for the implantation of a certa<strong>in</strong>system, start<strong>in</strong>g from the topological layout and thedemands and requirements of pressure <strong>in</strong> the nodes. Theproposed method develops a code based on the use ofnumerical chromosomes <strong>in</strong>stead of b<strong>in</strong>arychromosomes. It is also <strong>in</strong>troduced the optimization ofthe different parameters which <strong>in</strong>fluence <strong>in</strong> them<strong>in</strong>imum achievement, like the probabilities ofmutation and crossover, and the population size whichthe algorithm will work with.METHODOLOGYThe GAs are systematic methods for the resolution ofsearch<strong>in</strong>g and optimization problems that apply thesame methods of the biological evolution, as theselection based on the population, reproduction andmutation.Traditionally, the GAs have been methods adaptedfor problems formulated <strong>in</strong> b<strong>in</strong>ary variables but notadvisable for other search<strong>in</strong>g methods. However, <strong>in</strong> thepresent work a formulation of the problem is <strong>in</strong>troducedbased on a numerical codification, non b<strong>in</strong>ary, of thesolution.The random character of the method does notguarantee a complete exploration of the space ofsolutions, nor supposes guarantee to reach a m<strong>in</strong>imumof the objective function. However, the method offers aset of good solutions that try to improve. The work’selements of a GAs are def<strong>in</strong>ed perfectly <strong>in</strong> Iglesias et al.(2002) and <strong>in</strong> Matías (2003). Hereby is proposed a briefdescription emphasiz<strong>in</strong>g the adaptations made for thepseudo-genetic algorithm (PGA).The gene is the basic unit of <strong>in</strong>formation that adoptsa b<strong>in</strong>ary value (0/1). In the method each one of thedecision variables can have a rank of possible differentsolutions, which is represented with an alphanumericalvariable. With this codification is possible to identifyeach gene with a variable decision, which did notJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes63Fig. 1 Def<strong>in</strong>ition of chromosome and gene <strong>in</strong> a genetic algorithm(GA) and of the proposed pseudo-genetic algorithm (PGA).happen <strong>in</strong> the classic GA. In the design of waterdistribution networks, each gene is represented with anumber or a letter that identifies the diameter of eachone of the l<strong>in</strong>es (Fig. 1). The detail on the codificationand the variables can follow <strong>in</strong> Iglesias et al. (2002).A chromosome represents a solution to the problem.This solution is constituted by a serial of genes thatdef<strong>in</strong>es a unique solution of the optimization process.When design<strong>in</strong>g a water distribution network withoutconsider<strong>in</strong>g pumps and valves, the genes are therepresentation of the diameter that adopts each tube <strong>in</strong>each one of the solutions.In order to solve the optimization problem it isnecessary to have a discrete set of possible solutions(chromosomes). This set of chromosomes is what alsoforms the population of the GA and the PGA. In thePGA a generic cha<strong>in</strong> X is constituted by an equalnumber of genes to the number of decision variables(NVD), so that generic cha<strong>in</strong> i of a P population isdef<strong>in</strong>ed as a vector of numerical values.{ 1 2 }i i i iX X X X N= , ,…, (1)VDThe characteristic that measures “k<strong>in</strong>dness” orcapacity of a certa<strong>in</strong> chromosome’s survival regard<strong>in</strong>gthe others is known like aptitude. The aptitude of acerta<strong>in</strong> generic chromosome is identified through thevalue that adopts the objective function for the codifiedsolution. In the case of the PGA proposed for designand extension of supply<strong>in</strong>g networks this objectivefunction is def<strong>in</strong>ed asN N NVD S Ri∑ j( j) j ∑∑ k. s ( m<strong>in</strong>, k k,s)(2)iFX ( ) = C X ⋅ L+ λ⋅ δ ⋅ H −Hj= 1 s= 1 k=1where C j is the associated unit cost to the decisionvariable’s value conta<strong>in</strong>ed <strong>in</strong> l<strong>in</strong>k j of chromosome i;and L j is the length of conduction of pipe j. Moreover,they are N R imposed restrictions that must achieve thepossible solutions of the problem. These restrictionshave been <strong>in</strong>clud<strong>in</strong>g through a penalty <strong>in</strong> the total costof the solution that later affects the aptitude of thechromosome.The restrictions that must be fulfilled are thederived ones to satisfy the restrictions with m<strong>in</strong>imumpressure height (H m<strong>in</strong>,k ) <strong>in</strong> each node k. Theserestrictions must be verified <strong>in</strong> all the analyzed scenesN S , that usually are the on-speed operation of the systemand its operation under the scene of failure of some ofthe conductions. The function penalty represents thedifference between the head height of the node k <strong>in</strong>scene s (H k,s ) and the required m<strong>in</strong>imum height (H m<strong>in</strong>,k ).In order to compute this penalty two variables aredef<strong>in</strong>ed. One of them (δ k,s ) is a b<strong>in</strong>ary variable thatadopts value 1 if H k,s < H m<strong>in</strong>,k , and it adopts null value <strong>in</strong>opposite case. The parameter λ represents a weightfunction that establishes the penalty’s value for notverify<strong>in</strong>g the restrictions of m<strong>in</strong>imum pressure <strong>in</strong> thenodes. Pressure is considered as a hard constra<strong>in</strong>t, and λis big enough (10 7 ) for reject all solutions that violatesthe constra<strong>in</strong>t.In this paper the only network components that areconsidered are the pipes, but it is possible <strong>in</strong>corporateelements as pumps, tanks, valves and reservoirs without<strong>in</strong>validat<strong>in</strong>g the algorithms.The method of the proposed PGA tries the evolutionof a random population through a parallelism similar tothe laws of the natural selection, as it happens with theclassic GA (Matías, 2003; Iglesias et al., 2002). This isobta<strong>in</strong>ed through three basic processes: reproduction,crossover and mutation.The reproduction is the process through we selectbetween the chromosomes of the P population, thosethat will survive the follow<strong>in</strong>g generation. Between allthe exist<strong>in</strong>g methods of reproduction (Matías, 2003) it isbeen selected the constant reproduction method.This method orders the <strong>in</strong>dividuals of a population <strong>in</strong><strong>in</strong>creas<strong>in</strong>g order accord<strong>in</strong>g to its cost: from the cheapest<strong>in</strong>dividual to the most expensive. Later, a probability isassigned to each chromosome of the population tobecome one of the follow<strong>in</strong>g generation. Thisprobability will be <strong>in</strong>cluded between a maximumprobability p max , associated with the <strong>in</strong>dividual ofsmaller cost, and a m<strong>in</strong>imum probability, associated tothe solution of greater cost. Both probabilities aredef<strong>in</strong>ed aspβmax= pm<strong>in</strong>NC2 − β= (3)Nwhen β is a constant whose value must be comprisedbetween 1.5 and 2 (Wang, 1991) and N C is the numberof chromosomes.The crossover process (Fig. 2) consists <strong>in</strong> match<strong>in</strong>g<strong>in</strong> a random way the chromosomes of the <strong>in</strong>termediatepopulation and mak<strong>in</strong>g a change of the different genesfrom a certa<strong>in</strong> crossover gene, determ<strong>in</strong>ed <strong>in</strong> a randomway. It does not matter if two descendants of sameparents are matched, s<strong>in</strong>ce it guarantees the perpetuationof an <strong>in</strong>dividual with good score. However, it is notadvisable to repeat this situation too much, s<strong>in</strong>ce thepopulation could get dom<strong>in</strong>ated by the descendants ofsome gene, which could cause the fall<strong>in</strong>g of thecalculation <strong>in</strong> a local m<strong>in</strong>imum.CJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes64Fig. 3 Process of mutation of a PGA.Fig. 2 Process of crossover.One of the fundamental characteristics of the PGA isthe effect generated when cross<strong>in</strong>g differentchromosomes. If the codification is b<strong>in</strong>ary, thecrossover process cut the cha<strong>in</strong> <strong>in</strong> a random po<strong>in</strong>t. Thiscan orig<strong>in</strong>ate the fraction of the b<strong>in</strong>ary code thatidentifies one of the possible variables of decision. Incase of implement<strong>in</strong>g the PGA the selection of across<strong>in</strong>g l<strong>in</strong>k does not generate this effect. This is thereason us<strong>in</strong>g the PGA generates m<strong>in</strong>or changepossibility <strong>in</strong> the f<strong>in</strong>al solutions that the classic GA.The mutation process is applied to the obta<strong>in</strong>edpopulation after the cross<strong>in</strong>g and reproduction process.Once established the mutation frequency, for example,one by thousands, is exam<strong>in</strong>ed each gene of eachchromosome when an <strong>in</strong>dividual is created from itsparents. If a random generated number is under thatprobability, the gene will change. If no, it will be left as it is.Once chosen the mutation gene this bit is determ<strong>in</strong>edrandomly whether it must be <strong>in</strong>creased or decreased <strong>in</strong>one unit. Fig. 3 shows the mutation process, where geneB could evolve to A or C. This is the way to determ<strong>in</strong>ethe value of the l<strong>in</strong>k <strong>in</strong> the follow<strong>in</strong>g generation. Boththe cross<strong>in</strong>g process and the chromosome’s codificationcause the generation of new alternatives <strong>in</strong> PGA be<strong>in</strong>g<strong>in</strong>ferior to the one of a classic GA. For this reason theprobability of mutation <strong>in</strong> the PGA is slightly superior.The mutation is a parameter which is not convenientto abuse; it is a generat<strong>in</strong>g mechanism of diversity, butalso it reduces the genetic algorithm to a random search.It is always more advisable to use other mechanisms ofdiversity generation, like <strong>in</strong>creas<strong>in</strong>g the size of thepopulation, or guarantee the randomness of the <strong>in</strong>itialpopulation.This way, the size of the population will have to beenough <strong>in</strong> order to guarantee the diversity of solutions,and, <strong>in</strong> addition, it must grow with the number ofchromosome’s bits. The ma<strong>in</strong> problem that is generatedwhen us<strong>in</strong>g high populations is that convergence time ofthe algorithm is bigger. Therefore it is necessary toreach a commitment solution depend<strong>in</strong>g on theapproach of the problem.The follow<strong>in</strong>g sections analyze the capacity of theproposed PGA to obta<strong>in</strong> equal or better solutions to theexist<strong>in</strong>g ones <strong>in</strong> the references. It has been analyzeddifferent water distribution networks, determ<strong>in</strong><strong>in</strong>g them<strong>in</strong>imum cost of design them. The <strong>in</strong>itials <strong>studies</strong> of theproposed model had been realized about Alperovits &Shamir network (1977), achiev<strong>in</strong>g the same m<strong>in</strong>imumresults obta<strong>in</strong>ed <strong>in</strong> bibliography (Iglesias et al., 2006).However, the reduced size of this network did notallowed to deepen <strong>in</strong> the k<strong>in</strong>dness of the method.Thus, work<strong>in</strong>g on the network of Hanoi, the<strong>in</strong>fluence of the different parameters has been analyzedon the f<strong>in</strong>al solution, divid<strong>in</strong>g the work <strong>in</strong> two phases:First stage where the best comb<strong>in</strong>ation of the crossoverand mutation probabilities are analyzed, and one secondphase, where from the first optimization the populationsize’s <strong>in</strong>fluence <strong>in</strong> obta<strong>in</strong><strong>in</strong>g the m<strong>in</strong>imum value ofdesign is analyzed.In each calculation it is necessary to determ<strong>in</strong>epressure <strong>in</strong> nodes and flow <strong>in</strong> l<strong>in</strong>es. These calculationsare made by means of the model EPANET, developedby the Water Supply and Water Resources Division ofthe U.S. Environmental Protection Agency's NationalRisk Management Research Laboratory, whosefoundations can be followed <strong>in</strong> Iglesias (2004). Themassive treatment of simulations to obta<strong>in</strong> theparameters of the PGA has been made with a specificapplication, as it is described <strong>in</strong> Iglesias (2006).APPLICATION EXAMPLEThe analysis of the proposed model has been made onthe network of Hanoi (Fig. 4), as propose by Fujiwara &Khang (1990). As it is a water network of important sizeand with a real layout, there is a wide range of solutionsobta<strong>in</strong>ed with different models of design <strong>in</strong> thebibliography, which has allowed us to compare theresults of the different models of design.The network consists of one reservoir (node 1), 31demand nodes and 34 pipes. The m<strong>in</strong>imum pressurehead required at each node is 30 m.One of the characteristics that contribute to def<strong>in</strong>ethe optimal solution of the network is the range ofdiameters used. For the study we used the orig<strong>in</strong>al rangeof the bibliography (Table 1).The work displayed by Iglesias et al. (2006) showsthe results obta<strong>in</strong>ed by the different researchers, as wellas the obta<strong>in</strong>ed by the proposed method. This workdeals with fixed populations of 100 <strong>in</strong>dividuals, be<strong>in</strong>gthe aim the optimization of crossover and mutationJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes65121110,00%100,00%323133 34 26 27 28252430 29 23211617181514131920 3 4 52109876Probability9,00%8,00%7,00%6,00%5,00%4,00%3,00%2,00%1,00%0,00%6.0816.1116.1426.1726.2026.2326.2636.2936.3236.3536.3836.4146.4446.4746.5046.5356.5656.5956.6256.6566.6866.7166.7466.7766.8076.8376.8676.8976.9286.9586.9887.018Thousands (u.m)Frequency of solutionsAccumulated probabilityFig. 5 Diagram of frequencies and accumulated probability of theobta<strong>in</strong>ed solutions.90,00%80,00%70,00%60,00%50,00%40,00%30,00%20,00%10,00%0,00%22Fig. 4 Network of Hanoi.parameters. Table 2 shows the solution’s variationobta<strong>in</strong>ed by some researchers, as well as itscorrespond<strong>in</strong>g total cost.It is worth mention<strong>in</strong>g that <strong>in</strong> the column Sol 2 ofTable 2 we consider the burst of the pipes that closeloop network. For this reason prevails as condition thatthe pressure restrictions must even verify when abreakdown takes place <strong>in</strong> any of the pipes and this<strong>in</strong>creases the cost of the network.If we rely on the obta<strong>in</strong>ed m<strong>in</strong>imum value, weobserve that the PGA improves those of all hiscompetitors but the one of Cunha & Sousa, <strong>in</strong> terms ofthe used heuristic method does not fulfil the pressurespecifications.In the solution where the reliability concept is<strong>in</strong>troduced, the cost of the network grows, logicalcircumstance, s<strong>in</strong>ce the diameters to guarantee theprovision <strong>in</strong> case of breakage must be greater. In thereal case that one appears next has considered this fact,reason why all the given data already consider thereliability concept.ANALYSIS OF THE RESULTSOne of the ma<strong>in</strong> characteristics of a GA is that it works<strong>in</strong> a random way. The characteristics of the method doTable 1. Range of diameters used for the design of the waterdistribution networkOrig<strong>in</strong>al rangeNo. Diameter Diameter (mm) Cost (mu/m)A 304.8 45.73B 406.4 70.40C 508.0 98.39D 609.6 129.33E 762.0 180.75F 1016.0 278.281not guarantee with certa<strong>in</strong>ty the obta<strong>in</strong><strong>in</strong>g of the optimalvalue of the system. In addition, the obta<strong>in</strong>ed result cansuffer sometimes certa<strong>in</strong> variations. In order to analyzethis randomness it is necessary to make statisticalanalyses that will study the <strong>in</strong>fluence that have thedifferent parameters from the PGA proposed <strong>in</strong> thesolution of the analyzed network, with the purpose ofoptimiz<strong>in</strong>g them to <strong>in</strong>crease the probability of obta<strong>in</strong><strong>in</strong>gthe m<strong>in</strong>imum.In a first study, the mutation and crossoverprobabilities were modified, ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g the size of thecha<strong>in</strong> constant. Later, from the best values obta<strong>in</strong>ed forboth parameters another study was made, with theobjective to study the <strong>in</strong>fluence of the population <strong>in</strong> thesearch of the best solution. For it they have been mademore than 50 000 simulations altogether. For thecalculation of these simulations we use a computersystem <strong>in</strong> parallel with 23 computers AMD Duron to1400 MHz and 128 MB of ram.Influence of crossover and mutation probabilityInitially a histogram is made (Fig. 5). This graph<strong>in</strong>corporates the accumulated probability of the obta<strong>in</strong>edsolutions. The graph allows to detect the more frequentsolutions, as well as to determ<strong>in</strong>e the probability ofobta<strong>in</strong><strong>in</strong>g a given solution better to one given. It isimportant to consider that the histogram represents thetotality of obta<strong>in</strong>ed costs, vary<strong>in</strong>g crossover andmutation probabilities, with a fixed population of 100<strong>in</strong>dividuals.In order to determ<strong>in</strong>e the <strong>in</strong>fluence of mutation andcrossover probability <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g of the m<strong>in</strong>imumcost value, we adopted the solution correspond<strong>in</strong>g to6081 thousands of monetary units. This m<strong>in</strong>imum wasconsidered the optimal value of design, as it was them<strong>in</strong>imum obta<strong>in</strong>ed. Fixed this value it has beenanalyzed for each value’s comb<strong>in</strong>ation of mutation andcrossover, the probability that method PGA obta<strong>in</strong>s theoptimal value. The representation of this rate of successobta<strong>in</strong><strong>in</strong>g the m<strong>in</strong>imum is shown <strong>in</strong> Fig. 6. In it weremark that there are comb<strong>in</strong>ations of values of theJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes66Table 2. Comparison of diameters (mm) obta<strong>in</strong>ed as solution for the network of HanoiL<strong>in</strong>eBibliography SolutionsObta<strong>in</strong>ed SolutionsMatías (1) Savic1 (2) Savic2 (3) Cunha (4) Sol 1 (5) Sol 2 (6)1 1016 1016 1016 1016 1016 12702 1016 1016 1016 1016 1016 12703 1016 1016 1016 1016 1016 10164 1016 1016 1016 1016 1016 10165 1016 1016 1016 1016 1016 10166 1016 1016 1016 1016 1016 7627 1016 1016 1016 1016 1016 7628 1016 1016 1016 1016 1016 7629 1016 762 1016 1016 1016 76210 762 762 762 762 762 609.611 609.6 762 609.6 609.6 609.6 609.612 609.6 609.6 609.6 609.6 609.6 50813 508 406.4 508 508 508 101614 406.4 406.4 406.4 406.4 406.4 76215 304.8 304.8 304.8 304.8 304.8 101616 304.8 406.4 304.8 304.8 304.8 101617 406.4 508 406.4 406.4 406.4 101618 609.6 609.6 508 508 609.6 101619 609.6 609.6 508 508 508 101620 1016 1016 1016 1016 1016 101621 508 508 508 508 508 609.622 304.8 304.8 304.8 304.8 304.8 406.423 1016 1016 1016 1016 1016 101624 762 762 762 762 762 76225 762 762 762 762 762 101626 508 508 508 508 508 101627 304.8 304.8 304.8 304.8 304.8 101628 304.8 304.8 304.8 304.8 304.8 101629 406.4 406.4 406.4 406.4 406.4 50830 304.8 406.4 406.4 304.8 304.8 50831 304.8 304.8 304.8 304.8 304.8 50832 406.4 304.8 304.8 406.4 406.4 304.833 406.4 406.4 406.4 406.4 406.4 406.434 609.6 508 508 609.6 609.6 406.4Cost(thousands um)6.093 6.187 6.073 6.056 6.081 8.068(1) Obta<strong>in</strong>ed solutions by Matías (2003).(2) Obta<strong>in</strong>ed solutions by Savic & Walters (1997).(3 Obta<strong>in</strong>ed solutions by Savic & Walters (1997), no pressure restrictions accomplished.(4) Obta<strong>in</strong>ed solutions with a heuristic method (Cunha & Sousa, 1999). This solution does not verify the pressure restrictions.(5) Best solution obta<strong>in</strong>ed with the proposed method.(6) Obta<strong>in</strong>ed solution consider<strong>in</strong>g the burst of the pipes that close loop network.Highlighted <strong>in</strong> grey the diameters that are different from the proposed solution of Savic & Walters, which verifies the restrictions of pressure<strong>in</strong> the nodes.mutation probability and crossover that never generate aoptimal.The maximum rate of success is obta<strong>in</strong>edapproximately for a probability of mutation of 3−4%and a crossover probability around 90%. Def<strong>in</strong>itely, itentails to cross practically all the cha<strong>in</strong>s andapproximately to make one mutation of a little more of agene of each cha<strong>in</strong>.The concept of “good solution” is <strong>in</strong>troduced now.One of the characteristics of the GA <strong>in</strong> general and thePGA proposed is the capacity to obta<strong>in</strong> not only ones<strong>in</strong>gle optimal value, but to obta<strong>in</strong> a set of “goodsolutions” on the design problem.Fig. 6 Probability of obta<strong>in</strong> the m<strong>in</strong>imum about mutation andcrossover probability.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes67Fig. 9 Probability of obta<strong>in</strong><strong>in</strong>g a solution based on the overcostrespect to the solution of m<strong>in</strong>imum cost.Fig. 7 Probability of obta<strong>in</strong> a “good solution”.In this work “good solution” is def<strong>in</strong>ed with whose costis over the m<strong>in</strong>imum cost until <strong>in</strong> a 3%.Thus, Fig. 7 <strong>in</strong>dicates the probability of obta<strong>in</strong><strong>in</strong>g a“good solution” for each comb<strong>in</strong>ation of mutation andcrossover probabilities. This chart shows greater valuesof the success rate than Fig. 7. This shows the capacityof the method not only to obta<strong>in</strong> m<strong>in</strong>imum values, butalso to obta<strong>in</strong> with relative frequency values very nearthe optimal one def<strong>in</strong>ed.The statistical analysis of the simulations allowsverify<strong>in</strong>g the robustness of the method. Thus, around thevalues of mutation probability best adapted, the effect ofthe cross<strong>in</strong>g probability becomes smaller. This isshown, not only <strong>in</strong> the process of obta<strong>in</strong><strong>in</strong>g them<strong>in</strong>imum cost solution, but <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g of solutionsnear the optimal one.Figure 8 shows the little <strong>in</strong>fluence that has thecrossover probability <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g of m<strong>in</strong>imumvalues or “good solutions”. This figure <strong>in</strong>dicates forvalues of mutation around 3% the probability ofobta<strong>in</strong><strong>in</strong>g a solution based <strong>in</strong> different crossover valuesand the overcost that the solution has respect to them<strong>in</strong>imum value, def<strong>in</strong>ed like optimal.Also this analysis has allowed limit<strong>in</strong>g the processmore. Figure 9 shows the global probability of theproposed method, assum<strong>in</strong>g a suitable selection of theoptimization parameters based on the maximumovercost permissible respect to the m<strong>in</strong>imum value. Anull overcost supposes to select the probability ofobta<strong>in</strong><strong>in</strong>g the solution of m<strong>in</strong>imum cost.Optimization of the <strong>in</strong>itial populationIn the previous statistically analysis the collected datashow that certa<strong>in</strong> comb<strong>in</strong>ations of cross<strong>in</strong>g and mutationgenerate greater rates of success to obta<strong>in</strong> the optimalone. Concretely it is observed that for a probability ofmutation of 3% (someth<strong>in</strong>g more of a l<strong>in</strong>k bychromosome) we have a 10−12% of possibilitiesobta<strong>in</strong><strong>in</strong>g the m<strong>in</strong>imum. On the other hand, we deducefrom the analysis that the cross<strong>in</strong>g probability does not<strong>in</strong>fluence <strong>in</strong> the probability of obta<strong>in</strong><strong>in</strong>g the m<strong>in</strong>imumvalue of design when the population is of 100 units.The present analysis considers as optimalparameters of design the crossover and mutationprobability proposed <strong>in</strong> the previous section, aim<strong>in</strong>g thestudy <strong>in</strong> the optimization of the <strong>in</strong>dividuals <strong>in</strong>itialpopulation. They have been made more than 25 000simulations with populations that go from the 25 to the225 <strong>in</strong>dividuals, fix<strong>in</strong>g the mutation to a 3% and vary<strong>in</strong>gthe possibility of cross<strong>in</strong>g between the 10 and 90%.Initially a histogram is made (Fig. 10). It isimportant to consider that the histogram represents thetotality of obta<strong>in</strong>ed costs, <strong>in</strong>clud<strong>in</strong>g all the possiblecomb<strong>in</strong>ations of population <strong>in</strong>dividuals, crossover andmutation.We have adopted aga<strong>in</strong> as optimal value thesolution that corresponds to a cost of 6081 thousandsof monetary units. Fixed this value we analyze for eachcomb<strong>in</strong>ation of the population values and probabilityof cross<strong>in</strong>g, the probability that the PGA obta<strong>in</strong>s the2500100.00%90.00%Frequency of solutionss20001500100050080.00%70.00%60.00%50.00%40.00%30.00%20.00%10.00%Fig. 8 Influence of crossover probability <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g solutionswith different overcost, about the m<strong>in</strong>imum cost solution.00.00%1.00 1.01 1.03 1.04 1.02 1.03 1.05 1.03 1.02 1.01 1.04 1.01 1.06 1.06 1.08 1.07 1.07Cost solution (thousands u.m)Fig. 10 Diagram of frequencies and accumulated probability of theobta<strong>in</strong>ed solutions.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes68Success16.0%14.0%12.0%10.0%8.0%6.0%4.0%2.0%0.0%225200175150125100Population7550250100908070605014.0%-16.0%12.0%-14.0%10.0%-12.0%8.0%-10.0%6.0%-8.0%4.0%-6.0%2.0%-4.0%0.0%-2.0%403020100Crossover (%)Fig. 11 Probability of obta<strong>in</strong> the m<strong>in</strong>imum respect to the size of the<strong>in</strong>itial population and the crossover probability.optimal solution. Figure 11 displays the representationof this rate of success <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g of the m<strong>in</strong>imum.This graph shows that as the <strong>in</strong>itial population <strong>in</strong>creasesthe probability of obta<strong>in</strong><strong>in</strong>g the m<strong>in</strong>imum value alsogrows, although this <strong>in</strong>crease becomes stable at a certa<strong>in</strong>po<strong>in</strong>t. At first sight the best comb<strong>in</strong>ation of values is <strong>in</strong>populations of 200 with a probability of cross<strong>in</strong>g of10%, but it will be necessary to evaluate if itcompensates this slight improvement with thedim<strong>in</strong>ution of the calculation speed caused work<strong>in</strong>gwith greater populations.The previous graph displays an important differenceto we see the previous section, where it was highlightedthe fact that the probability of cross<strong>in</strong>g for a populationof 100 did not <strong>in</strong>fluence <strong>in</strong> the results. When extend<strong>in</strong>gthe rank of populations that make the calculation we canaffirm that the cross<strong>in</strong>g probability acquires importancewhen the population is greater. In the same way, it ispossible to emphasize that for smaller populations of 50the algorithm is less effective for f<strong>in</strong>d<strong>in</strong>g m<strong>in</strong>imums, asno practically occurs.Now we analyze the probability of obta<strong>in</strong><strong>in</strong>g them<strong>in</strong>imum by number of simulations (Fig. 12), study thatmake clearer the convenience us<strong>in</strong>g greater <strong>in</strong>itialpopulations, s<strong>in</strong>ce they slow down the calculation. Thegraph is not very enlighten<strong>in</strong>g regard<strong>in</strong>g the bestcomb<strong>in</strong>ations, tak<strong>in</strong>g place tips <strong>in</strong> diverse zones of therepresentation. Thus, <strong>in</strong> Fig. 13 is shown the probabilityof obta<strong>in</strong><strong>in</strong>g a “good solution” by number of solutions.0204060Crossover (%)80100225200175150125100Population sizeFig. 12 Probability of obta<strong>in</strong><strong>in</strong>g the m<strong>in</strong>imum by number ofsimulations (×10 7 ).755025109876543210Efficiency01020304050Crossover (%)60708090100225200175150125Population sizeFig. 13 Probability of obta<strong>in</strong><strong>in</strong>g a “good solution” by number ofsimulations (× 10 7 ).As it is observed <strong>in</strong> the graph, if we extended therank of valid solutions <strong>in</strong> a 3%, the lower populationswork that the high population far better, s<strong>in</strong>ce theprobability of obta<strong>in</strong><strong>in</strong>g a good solution with a smallernumber of iterations is much greater. The <strong>in</strong>ferior limitof population would be established for this case <strong>in</strong> 50<strong>in</strong>dividuals, s<strong>in</strong>ce even consider<strong>in</strong>g only the goodsolutions improvement is not observed <strong>in</strong> <strong>in</strong>feriorpopulations. However, it has demonstrated that thesmaller is the population the less is the probability off<strong>in</strong>d<strong>in</strong>g m<strong>in</strong>imums for the system.ConclusionsThe ma<strong>in</strong> objective of this work consists of mak<strong>in</strong>g thedesign of a water distribution network, us<strong>in</strong>g for it amethod based on PGA. The economic design <strong>in</strong> theWater Distribution Networks is of great <strong>in</strong>terest, as itallows us to choose a solution between the differentalternatives that verify the imposed hydraulicconditions.Thus, of the statistical analysis of the results <strong>in</strong> theproposed model it is possible to emphasize thefollow<strong>in</strong>g conclusions:• The statistical analysis allows to as muchestablish the rate of success <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g ofm<strong>in</strong>imum cost solutions. In the same way, we canestablish the rate of success <strong>in</strong> the obta<strong>in</strong><strong>in</strong>g ofgood solutions that defer an <strong>in</strong>ferior amount to3%.• When the population of <strong>in</strong>dividuals is fixed, thePGA displays a great robustness to the values ofthe cross<strong>in</strong>g probability. On the other hand themutation probability is a much more sensibleparameter. For the analyzed example it must beapproximately between 3–4%, which supposes tomake the mutation of one gene by cha<strong>in</strong>.• In agreement the <strong>in</strong>itials is <strong>in</strong>creased of<strong>in</strong>dividuals <strong>in</strong>creases the number of obta<strong>in</strong>edm<strong>in</strong>imums. Despite it arrives a moment while <strong>in</strong>that light improvement can not compensate thegreater time of calculation than it causes<strong>in</strong>troduc<strong>in</strong>g greater populations, reason why it100755025160140120100806040200EfficiencyJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


Rey, Meliá, Mart<strong>in</strong>ez and Fuertes69becomes necessary to reach a commitmentsolution.• If it is not required to f<strong>in</strong>d the m<strong>in</strong>imum of thesystem, but only a set of good solutions isrecommendable to use populations of few<strong>in</strong>dividuals, s<strong>in</strong>ce they work fast. However, itexist a m<strong>in</strong>imum population <strong>in</strong> each case, andonce exceeded this one the results get worse.• The exposed results for the variation of thepopulation are valid <strong>in</strong> this model, reason why theverification is necessary from the hypothesesraised here with different models, s<strong>in</strong>ceexcessively small populations can not give goodresults <strong>in</strong> networks greater than the here proposeone.• F<strong>in</strong>ally, it seems that the convergence towardsf<strong>in</strong>al solutions, and therefore the time ofnecessary calculation is <strong>in</strong>ferior to the methodsbased on classic GA.Really, the proposed model seems valid for the waterdistribution networks. The adjustment of its parametershas been verified with the statistical analysis. Theobta<strong>in</strong>ed results can be extrapolated to other problemsof design. However, the made study must extend to thecase of design consider<strong>in</strong>g the reliability criterion. Thisfact can modify the obta<strong>in</strong>ed solutions remarkably andprobably the necessary parameters. Another statisticalstudy similar to the made can illum<strong>in</strong>ate some of theshades that at the present time exist.Acknowledgment This article has been possible <strong>in</strong>sidethe actions developed by the researchers of CMMF<strong>in</strong>volved <strong>in</strong> the project “Integración de lacaracterización d<strong>in</strong>ámica de elementos y consumos enmodelos de redes de abastecimiento de agua utilizandosistemas de <strong>in</strong>formación geográfica y algoritmosgenéticos (CADAGIAS)”. The number reference of theproject is DPI2006-13113.REFERENCESAlperovits, E. & Shamir, U. (1977) Design of optimal waterdistribution systems. Water Resour. Res. 12(6), 885−900.Balla, M.C & L<strong>in</strong>gireddy, S. (2000); Distributed genetic algorithmmodel on network of personal computers. J. Comput. <strong>in</strong> Civil Eng.14(3), 199–205.Cunha, M.C. & Sousa, J. (1999) Water distribution networks designoptimization: simulated anneal<strong>in</strong>g approach. J. Water Resour.Plng. Management 125(4), 215–221.Fujiwara, O.Y. & Khang, D.B. (1990) A two-phase decompositionmethod for optimal design of looped water distribution networks.Water Resour. Res 26(4), 539−549.Golberg, D.E. (1987) Genetic algorithms <strong>in</strong> pipel<strong>in</strong>e optimization. J.Comput. <strong>in</strong> Civil Eng., 1(2), 148−141.Goulter, I.C. & Bouchart, F. (1990) Reliability-constra<strong>in</strong>ed pipenetwork model. J. Hydraul. Div. ASCE 116(2), 211−229.Halhal, D., Walters, G.A., Ouazar, D. & Savic, D.A. (1997) Waternetwork rehabilitation with structured messy genetic algorithm. J.Water Resour. Plng. Management 123(3), 137−146.Holland, J. (1992). Algoritmos Genéticos. Investigación y Ciencia.Septiembre 1992, 38−45.Iglesias, P.L., Lopez, P.A., Mart<strong>in</strong>ez, F.J. & Perez, R. (2002).Dimensionado económico de impulsiones mediante algoritmosgenéticos. Proc. Sem<strong>in</strong>ario Hispano Brasileño sobre Planificación,Proyecto y Operación de Redes de Abastecimiento de Agua,2002.Iglesias, P.L., Mora, D., Fuertes, V. & Mart<strong>in</strong>ez, F.J. (2006).Análisis estadístico de soluciones de diseño de Redes deAbastecimiento de Agua mediante Algoritmos Genéticos. Proc.Congreso Lat<strong>in</strong>oamericano de Hidráulica. Ciudad Guayana.Venezuela.Mora, D., Iglesias, P.L., Fuertes, V & Mart<strong>in</strong>ez, F.J (2006).Metodología para diseño y ampliación de redes de abastecimientomediante Algoritmos Genéticos. XII Congreso Internacional deIngeniería de Proyectos. Valencia. Spa<strong>in</strong>.Lansey, K.E. & Mays, L.W. (1989) Optimization model for waterdistribution system design. J. Hydr. Engrg. ASCE 115(10),1401−1418.Matías, A (2003). Diseño de redes de distribución de aguacontemplando la fiabilidad mediante algoritmos genéticos. TesisDoctoral (Ingeniería Hidráulica y Medio Ambiente). UniversidadPolitécnica de Valencia.Rey, P.L.I., López, P.A., López, G. & Mart<strong>in</strong>ez, F.J. (2004) Epanet2.0vE. Manual de usuario. Ed. Grupo Multidiscipl<strong>in</strong>ar deModelación de Fluidos, Valencia. (Traducción comentada deltexto orig<strong>in</strong>al de Rossmann, L. Epanet 2.0 Users Manual).Su, Y.C., Mays, L.W., Duan, N. & Lansey, K.E. (1987) Reliabilitybasedoptimization model for water distribution Systems. J. Hydr.Engrg. ASCE 114(12), 1539−1556.Savic, D.A. & Walters, G.A. (1997) genetic algorithms for least-costdesign of water distribution systems. J. Water Resour. Plng.Management 125(2), 67−77.Wang, Q.J. (1991) The genetic algorithm and its application tocalibrat<strong>in</strong>g conceptual ra<strong>in</strong>fall-runoff models. Water Resour. Res27(9), 2467−2471.Zecch<strong>in</strong>, A.C., Maier, H.R., Simpson, A.R., Leonard, M. & Nixon,J.B. (2007) Ant colony optimization applied to water distributionsystem design: comparative study of five algorithms. J. WaterResour. Plng. Management 133(1), 87−92.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.61-69, 2007


J U E EJournal of Urban and EnvironmentalEng<strong>in</strong>eer<strong>in</strong>g, v.1, n.2 (2007) 70–78ISSN 1982-3932doi: 10.4090/juee.2007.v1n2.070078Journal of Urban andEnvironmental Eng<strong>in</strong>eer<strong>in</strong>gwww.journal-uee.orgURBAN WATERSHED STUDIES IN SOUTHERN BRAZILCristiano Poleto ∗ and Gustavo Henrique MertenHydraulic Research Institute, Federal University of Rio Grande do Sul, BrazilReceived 25 May 2007; received <strong>in</strong> revised form 7 September 2007; accepted 15 October 2007Abstract:Keywords:One of the greatest problems observed <strong>in</strong> Brazilian <strong>urban</strong> <strong>watershed</strong>s are concerned tothe amount of solid residues, domestic sewerage and sediments that are disposed <strong>in</strong> therivers and streams that dra<strong>in</strong> those areas. This project aims to present these problemsthrough a study of case taken <strong>in</strong> an <strong>urban</strong> <strong>watershed</strong> <strong>in</strong> Porto Alegre city, SouthernBrazil. For this study, different procedures were used, such as field surveys, <strong>in</strong>terviewswith the <strong>in</strong>habitants, satellite images, sediment samples, flow measures andmorphology assessment of part of the local fluvial system to check the degree of<strong>in</strong>stability of the channel. In 2005, it was verified that 42.57% of the <strong>watershed</strong> wasimpermeable, consider<strong>in</strong>g the paved streets, the residential and commercial build<strong>in</strong>gsand stone pavements. As there was no sewer treatment, most of this sewerage wasdirectly disposed <strong>in</strong>to the stream and the TOC has reached 20% (m/m). Moreover, theoccupation of riparian areas, a great amount of soil exposed <strong>in</strong> the <strong>watershed</strong>, the nonpavedstreets and a great volume of solid residues were caus<strong>in</strong>g the <strong>in</strong>stability <strong>in</strong> thechannel, silt<strong>in</strong>g the stream bed. The metals (Zn, Pb and Cr) selected for this study aremost frequently found <strong>in</strong> high concentrations <strong>in</strong> <strong>urban</strong> areas. The results suggest theoccurrence of a high enrichment of the fluvial sediment by these metals. Theconcentrations of these elements vary temporally dur<strong>in</strong>g storms due to the <strong>in</strong>put ofimpervious area runoff conta<strong>in</strong><strong>in</strong>g high concentration of elements associated tovehicular traffic and other anthropogenic activities. Then, it is possible to conclude thatthe contam<strong>in</strong>ation of the <strong>urban</strong> <strong>watershed</strong> is reflected <strong>in</strong> the results obta<strong>in</strong>ed <strong>in</strong> thefluvial suspended sediments.Urban <strong>watershed</strong>; socioeconomic conditions; river morphology; fluvial suspendedsediments; <strong>urban</strong> dusts; metals© 2007 Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE). All rights reserved.∗ Correspondence to: Cristiano Poleto, Tel.: +55 51 8454 1677; Fax: +55 51 3308 7509.E-mail: cristiano_poleto@hotmail.com


Poleto and Merten71INTRODUCTIONOne of the greatest problems verified <strong>in</strong> Brazilian <strong>urban</strong><strong>watershed</strong>s is regarded to the quantity of solid residues,domestic sewage and sediments, which are thrown <strong>in</strong>the rivers and streams that dra<strong>in</strong> those areas. Thus, asthe rivers pass by <strong>urban</strong> areas, they receive loads ofpollution caus<strong>in</strong>g modifications <strong>in</strong> the water quality, <strong>in</strong>the fluvial morphology and <strong>in</strong> the hydrological system.Pollutants can form complexes with f<strong>in</strong>e sedimentsand can also contribute to the eutrophication of therivers. In addition, the <strong>in</strong>creas<strong>in</strong>g amount of sedimentscauses the silt<strong>in</strong>g of the channel, reduc<strong>in</strong>g its outflowcapacity, lead<strong>in</strong>g to floods and channel <strong>in</strong>stability.Great complex questions related to socioeconomicand cultural conditions of the populations and alsoaspects concern<strong>in</strong>g the lack of governmental policies for<strong>in</strong>vestments <strong>in</strong> <strong>in</strong>frastructure and <strong>urban</strong> basic sanitationresult <strong>in</strong> the enhancement of <strong>watershed</strong> problems.Generally, periphery <strong>urban</strong> areas <strong>in</strong> develop<strong>in</strong>gcountries have a limited <strong>in</strong>frastructure and low-<strong>in</strong>come<strong>in</strong>habitants. The impacts <strong>in</strong> water resources are moresevere, ma<strong>in</strong>ly because of the absence of sewagetreatment systems, trash collection or non-paved streets,which are important sources for the production ofsediments <strong>in</strong> <strong>urban</strong> <strong>watershed</strong>s. On the other hand, thereis also the socioeconomic and cultural component,which is closely related to the absence of environmentalknowledge.The permeable soil is replaced by impermeablesurfaces such as roads, roofs, park<strong>in</strong>g lots, andsidewalks that store little water, reduce water <strong>in</strong>filtration<strong>in</strong>to the ground, and accelerate runoff to ditches andstreams (USGS, 2003). The sediments are an importantpart of this process because their presence <strong>in</strong>to the riversnot only cause sedimentation process problems but theyma<strong>in</strong>ly cause the contam<strong>in</strong>ation of the water due to thepresence of pollutants found associated to sediments.Horowitz (1991) clearly shows that as suspendedsediment concentrations <strong>in</strong>crease, the percentage ofsuspended sediment-associated trace elements also<strong>in</strong>creases.The sediments contam<strong>in</strong>ated by heavy metals havebeen considered as one of the biggest environmentalproblems. While many metals are required nutrients,others are toxic to liv<strong>in</strong>g organisms (Dahl, 2005). In thissense, <strong>studies</strong> on the quality of sediments have animportant focus <strong>in</strong> environmental assessments,protection and management of aquatic ecosystems.There are many causes that can <strong>in</strong>crease theproduction of sediments <strong>in</strong> <strong>urban</strong> areas; however, themost important ones are related to little vegetalcover<strong>in</strong>g, the lack of <strong>urban</strong> <strong>in</strong>frastructure (paved streets,sewer and dra<strong>in</strong><strong>in</strong>g system), the absence of a rigidcontrol on civil labor and the lack of work to store thesediments deriv<strong>in</strong>g from the pavements (restra<strong>in</strong>erboxes).Fig. 1 Watershed limit and its stream.This work aims to present a study of case, analyz<strong>in</strong>gthe impacts of the <strong>urban</strong>ization on the <strong>in</strong>stability <strong>in</strong> thecourse of water, the physical and social characterizationof this <strong>watershed</strong>, the condition<strong>in</strong>g factors for thedegradation of the fluvial system and the concentrationsand distribution of three metals <strong>in</strong> this area.OBJECT OF INVESTIGATIONThe <strong>urban</strong> <strong>watershed</strong> is located <strong>in</strong> Porto Alegre city,capital of the Rio Grande do Sul state, <strong>southern</strong> Brazil,with an area of approximately 0.83 km². The study areaand its limits can be observed <strong>in</strong> Fig. 1.The topography of this area is softly waved,consist<strong>in</strong>g of a first grade <strong>watershed</strong>, whose geologicformation is composed by granite.The climate is subtropical with the average annualtemperatures rang<strong>in</strong>g from 14–20°C, but dur<strong>in</strong>g summerand w<strong>in</strong>ter the thermometer can reach extremely high orlow temperatures, respectively, with cold w<strong>in</strong>ters andregularly well-distributed ra<strong>in</strong>s, vary<strong>in</strong>g between 1,200–2,000 mm/year.The physical characterization of the <strong>watershed</strong> wasmade us<strong>in</strong>g field surveys, as it was verified theconditions of the fluvial system that dra<strong>in</strong>s the<strong>watershed</strong>, the existent <strong>urban</strong> <strong>in</strong>frastructure (streets,houses, systems of pluvial and wastewater dra<strong>in</strong>ageconditions) and the ma<strong>in</strong> sources of sedimentsproduction <strong>in</strong> the area.To measure the use of soil over the last five years, itwas used a QuickColor ® image from the satelliteQuickBird, which is composed by three of the four<strong>in</strong>dividually sp<strong>in</strong>dle multispectral bands with thepanchromatic band, result<strong>in</strong>g <strong>in</strong> bands with a spatialresolution of 0.60 m, taken <strong>in</strong> December 2002 and May2005.The socioeconomic survey was based on aquestionnaire applied to 659 houses <strong>in</strong> the <strong>watershed</strong>Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten72under study (although there were a total of 1,733houses, the sample was only 38.03%). The questions<strong>in</strong>tended to assess socioeconomic, cultural andenvironmental perception aspects.To verify the <strong>in</strong>stability of the fluvial stream,bathymetries were taken <strong>in</strong> one part of its section, nextto the <strong>watershed</strong> outlet, 12.75 m length and 7.20 mwidth, from October of 2003 to January of 2005.METHODSCollection of Suspended Sediment, Urban Dust andBackground SamplesThe collections of suspended sediment samples started<strong>in</strong> 2003, still with a tra<strong>in</strong><strong>in</strong>g staff and equipment teststage, and f<strong>in</strong>ished <strong>in</strong> the end of 2006. As most of theload of sediments <strong>in</strong> this area is carried through dur<strong>in</strong>gthe outflows generated by precipitations, the collectionsof suspended sediment samples were accomplisheddur<strong>in</strong>g ra<strong>in</strong>y days, <strong>in</strong> the section located <strong>in</strong> the outlet ofthe studied area, <strong>in</strong> two po<strong>in</strong>ts of the transversal section,at 0.60 m and 1.20 m on the left edge of the stream, withan US DH-81 sampler.The samples were collected <strong>in</strong> 20 liter polypropylenegallons, and they were stored for 24 hours to be latercentrifugated, facilitat<strong>in</strong>g the concentration of thesediments. The centrifuged samples were dried atmaximum temperature of 40ºC per approximately sevendays. The dry samples were transferred topolypropylene bottles of 50 mL and they were frozen,avoid<strong>in</strong>g contact to metal implements so that thesamples could not be contam<strong>in</strong>ated, accord<strong>in</strong>g to aprocedure suggested by Horowitz (1991), Mudroch etal. (1997) and Poleto & Gonçalves (2006).Collections of <strong>urban</strong> dust samples (47 samples perkm²) <strong>in</strong> ma<strong>in</strong> diffuse sources of the <strong>urban</strong> environment(represented by paved and non-paved streets) had beentaken, beyond the area with rema<strong>in</strong><strong>in</strong>g vegetation, <strong>in</strong>some po<strong>in</strong>ts of the bed river and <strong>in</strong> its marg<strong>in</strong>s. Thissampl<strong>in</strong>g searched for representative areas (composedsamples) and it was conducted to cover the entire<strong>watershed</strong>.To obta<strong>in</strong> background values, the collection ofsamples were accomplished <strong>in</strong> the soil of the regionnext to the stream (<strong>in</strong>side the studied area). The placethat presents fragments of the orig<strong>in</strong>al vegetation hasstill little human alterations. Some samples wereobta<strong>in</strong>ed from different po<strong>in</strong>ts of this area, divid<strong>in</strong>g it<strong>in</strong> three regions. After that, the samples wereseparated accord<strong>in</strong>g to their respective areas ofcollection, jo<strong>in</strong>ed and homogenized <strong>in</strong> order to getthree compound<strong>in</strong>g samples that could represent theplace.All the gallons, baskets and glassware <strong>in</strong>volved <strong>in</strong>the collection procedure and concentration of thesediments for posterior freez<strong>in</strong>g were washed withdistilled water and stayed <strong>in</strong> nitric acid solution of 14%(v/v) for 24 hours and they were later r<strong>in</strong>sed withdeionized water.Characterization of Suspended Sediments andBackground SamplesM<strong>in</strong>eralogical analyses were made to verify if thesamples obta<strong>in</strong>ed with background values presentedsimilar m<strong>in</strong>eral characteristics as the fluvial suspendedsediment samples and the m<strong>in</strong>eral k<strong>in</strong>ds.Acid Digestions of Suspended Sediment, Urban Dustand Background SamplesDur<strong>in</strong>g these analyses, it was studied 25 fluvialsuspended sediment samples. In relation to thebackground samples, it was digested three compound<strong>in</strong>gsoil samples (after bolted), and later applied a gra<strong>in</strong>sized factor of correction to the results, enabl<strong>in</strong>g theequalization of the concentrations with the onesobta<strong>in</strong>ed <strong>in</strong> the <strong>studies</strong> of the suspended sediments.The total concentrations of metals were determ<strong>in</strong>edby acid digestion (HCl – HF – HClO4 – HNO3) fortotal destruction of the m<strong>in</strong>erals aggregated to thesediments (Horowitz et al., 2001; Poleto & Teixeira,2006).The analytical reagents and the extract<strong>in</strong>g solutionsused for the analyses are Merck ® , which have a highdegree of pureness. The water used for the dilutions is aMilli-Q type (extra-pure) because simple distillatedwater could present organic complexes of metallic ions.All the glassware <strong>in</strong>volved <strong>in</strong> the procedures had beenwashed with distilled water and stayed <strong>in</strong> nitric acidsolution of 14% (v/v) for 24 hours and later r<strong>in</strong>sed withdeionized water.Studied MetalsThe selected elements are some of the most frequentlyfound <strong>in</strong> high concentrations <strong>in</strong> <strong>urban</strong> area <strong>studies</strong>.Thus, Z<strong>in</strong>c (Zn), Lead (Pb) and Chromium (Cr) weredeterm<strong>in</strong>ed dur<strong>in</strong>g total acid digestions.RESULTS AND DISCUSSIONPhysical characteristics of the <strong>watershed</strong>In Table 1 the results concern<strong>in</strong>g the use of the soil’stemporal evolution <strong>in</strong> the <strong>watershed</strong> are presented.It was verified significant modifications that haveoccurred over the last three years, such as the reductionof the area with riparian zones from 5.15% <strong>in</strong> 2002 to3.57% <strong>in</strong> 2005. The reduction of the riparian zone alongthese three years is due to illegal occupation of this area,which should be under permanent preservation,accord<strong>in</strong>g to the Brazilian Forest Code (Act 4771, of1965).Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten73Table 1. The soil uses from 2002 to 2005Categories2002 2005Area (km²) Area (%) Area (km²) Area (%)Impervious areasUncovered soilsUnpaved streetsBush or trail<strong>in</strong>g vegetationRema<strong>in</strong><strong>in</strong>g vegetationRiparian zoneGrassed areasTotal area0.320.080.050.150.110.040.080.8337.93%9.51%6.40%18.52%12.92%5.15%9.58%100%0.350.150.050.100.090.030.050.8342.57%18.56%6.13%12.55%10.58%3.57%6.04%100%The field surveys showed that families occupy<strong>in</strong>gthese areas have a highly prom<strong>in</strong>ent poverty conditionand were then forced to live <strong>in</strong> those areas.The surveys have demonstrated that 15% of thehouses <strong>in</strong> the <strong>watershed</strong> are located <strong>in</strong> this section from10 to 15 meters of the marg<strong>in</strong>s of the stream, whose areashould be under permanent preservation. This conditionpresents some implications. Firstly, the risk that thesepeople suffer from liv<strong>in</strong>g <strong>in</strong> such places where there areunder constant floods. Secondly, the negative impactson the fluvial environment caused by the withdrawal ofthe riparian zone and by the direct discharge ofdomestic effluents and solid residues <strong>in</strong>to the stream.Along with the withdrawal of the riparian zone andthe occupation of the areas next to the channel, an<strong>in</strong>crease <strong>in</strong> the susceptibility to erosive action of theflowage next to the marg<strong>in</strong>s also has occurred. Itcontributed to the <strong>in</strong>stability of the channel. In theecological po<strong>in</strong>t of view, the withdrawal of the riparianzone also represents a problem as it alters the watertemperature with all the implications caused by thiseffect.Areas with rema<strong>in</strong><strong>in</strong>g vegetation represent 10.58%,while the bush or trail<strong>in</strong>g vegetation corresponds to12.55% of the <strong>watershed</strong>. The stream has an extensionof 1,918 m, and only 69.50% of its total lengthrepresents a riparian zone, as it was analyzed with theaid of satellite images.Other uses of the soil <strong>in</strong> the <strong>watershed</strong> havedemonstrated that <strong>in</strong> 2005, 42.57% of the area wasimpervious (Figs 2 and 3), consider<strong>in</strong>g paved streets,sidewalks, residential and commercial constructions.The high percentage of impervious area reflects <strong>in</strong>modifications of the hydrograph, <strong>in</strong> which the ra<strong>in</strong> tendsto present smaller periods of concentration and higherpeaks of outflow. Moreover, <strong>in</strong> Calhoun et al. (2003)<strong>studies</strong>, it was observed that the <strong>urban</strong>ization hasreduced the baseflows and has <strong>in</strong>creased stormflows.Environmental perceptionThrough <strong>in</strong>terviews, it was assessed the population’senvironmental perception level regard<strong>in</strong>g theimportance of the water resources to them. The resultshave showed that the river is perceived as a drawback,an ugly and polluted yard where trash is thrown.The valleys are an undervalued and ownerless land,and it is the place the <strong>in</strong>vaders occupy. These ideas areFig. 2 Urban <strong>watershed</strong> soil uses <strong>in</strong> 2002.Fig. 3 Urban <strong>watershed</strong> soil uses <strong>in</strong> 2005.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten74expressed through the habit of litter<strong>in</strong>g or see<strong>in</strong>g peoplethrow<strong>in</strong>g trash <strong>in</strong> the stream.This situation is ma<strong>in</strong>ly due to people who areconditioned to m<strong>in</strong>d only about their own survival forthey are extreme poor. Then, it is possible to observethat <strong>in</strong> poor <strong>urban</strong> areas, where the population has theirsurvival as their ma<strong>in</strong> challenge, the environmentalmatters present very small importance. Thus, it isexpected that little or no attention should be given towater resources.Socioeconomic DataThe <strong>urban</strong> <strong>watershed</strong> has a population of approximately4,901 <strong>in</strong>habitants, which is considered a highoccupation rate when compared to other demographicdensities of Rio Grande do Sul state. The <strong>watershed</strong> has1,733 constructions, among which 90% are residential,4% commercial and 6% are both, be<strong>in</strong>g characterized asa residential area.Accord<strong>in</strong>g to the World Health Organization(WHO), people who survive with less than US$100.00per month are considered poor. Thus, more than 22.1%of the <strong>in</strong>habitants of the <strong>watershed</strong> are <strong>in</strong> this group.Income distribution is shown <strong>in</strong> Fig. 4.The group surveyed presents well-distributed agepatterns <strong>in</strong> all age groups, as shown <strong>in</strong> Fig. 5. In Fig. 6,the school<strong>in</strong>g of the population represents a very lowscholarship level. It shows that 42% of them have noteven f<strong>in</strong>ished Elementary School. Another aspect alsoevidenced <strong>in</strong> this <strong>watershed</strong> is that the lowestscholarship rates are associated to <strong>in</strong>habitants of areasnext to the stream. The most <strong>in</strong>adequate types ofhous<strong>in</strong>g and basic sanitation were identified <strong>in</strong> theseareas, as well.Basic <strong>in</strong>frastructureThrough surveys <strong>in</strong> the basic <strong>urban</strong> <strong>in</strong>frastructure, itwas evidenced that 31% of the streets are paved(asphalt or parallelepipeds) and 69% are unpaved.Unpaved streets were considered a greatest source ofavailable sediments to be carried <strong>in</strong>to the stream, as theconstant presence of erosion ridges along the streetswas reported, especially where the ground is moresloped.The potable water supply reaches approximately100% of the population; however, a domestic sanitarysewer system does not exist. In Fig. 7 differentdest<strong>in</strong>ations given to domestic sewer is observed.11%12%25%Age groups (years)up to 10 years old9% 6% 17% 11 to 20 years old15%15%15%Fig. 5 Age group of the local population.School<strong>in</strong>g5% 3%42%21 to 30 years old31 to 40 years old41 to 50 years old51 to 60 years old61 to 70 years oldover 70 years oldNo School<strong>in</strong>gUnf<strong>in</strong>ished ElementarySchoolElementary SchoolUnf<strong>in</strong>ished High School8%17%High SchoolUndergraduated andGraduated at UniversityFig. 6 Scholarship of the local population.19%Basic SanitationSewage dra<strong>in</strong>ed directlyto storm water systemLeatfield43%Clandest<strong>in</strong>e sewerconnectionFig. 4 Local <strong>in</strong>come.31%Fig. 7Leatfield connected tostorm water system7%Basic Sanitation <strong>in</strong> the Urban Area.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten75In other words, 31% of these sewers areclandest<strong>in</strong>e, launch<strong>in</strong>g the domestic sanitary sewer <strong>in</strong>natura <strong>in</strong>to the stream, 43% of direct bond<strong>in</strong>g with thepluvial water dra<strong>in</strong>age canalization, end<strong>in</strong>g up <strong>in</strong> thechannel, 7% built leatfields, and the 19% left builtleatfields and channeled them with the pluvial waterdra<strong>in</strong>age canalization <strong>in</strong> order to avoid ma<strong>in</strong>tenance.Consequently, most part of the sewer also runs <strong>in</strong>to theriver. This condition consists <strong>in</strong> one of the biggestsource of TOC contam<strong>in</strong>at<strong>in</strong>g the fluvial system.Impacts caused <strong>in</strong> the fluvial systemDur<strong>in</strong>g field surveys, some impacts caused <strong>in</strong> the fluvialsystem due to <strong>urban</strong>ization were reported. One of theseimpacts is related to water quality, which is endangeredby the sewer dra<strong>in</strong>age and trash. They ma<strong>in</strong>ta<strong>in</strong> thesuspended sediments collected <strong>in</strong> the river with highconcentrations of TOC (Fig. 8) and low concentrationsof dissolved oxygen (an average of 2.6 mg/L <strong>in</strong> dryweather).Through bathymetries made <strong>in</strong> a section of thechannel its <strong>in</strong>stability can be observed. Compar<strong>in</strong>g Fig.9 to Fig. 10, changes <strong>in</strong> the channel can be seen, e.g. itsnarrow<strong>in</strong>g process <strong>in</strong> some po<strong>in</strong>ts provoked by theris<strong>in</strong>g of quotas.The occupation of riparian zones, the great amountof exposed soil <strong>in</strong> the <strong>watershed</strong>, the unpaved streetsand a great volume of solid residues are caus<strong>in</strong>g the<strong>in</strong>stability of the channel. The <strong>in</strong>crease of sediments <strong>in</strong>the water has been bigger than the outflow capacity tocarry them, characterized by the stream bed silt<strong>in</strong>g. Inmany po<strong>in</strong>ts, the collimation of these banks is occurr<strong>in</strong>gand it is promot<strong>in</strong>g their stability <strong>in</strong>side the stream bed.Accord<strong>in</strong>g to a field survey it was verified thatapproximately 3% of the irregularly occupation of theland has fluvial erosion problems (Fig. 11). This <strong>in</strong>dexcan be considered small, but these problems occur <strong>in</strong> thestream marg<strong>in</strong>s, and the material used for level<strong>in</strong>g itgenerally has low cohesion and/or it is made of civilconstruction solid residues. This material is easilyTOC (%)20181614121086420Oct-03 Apr-04 Nov-04 May-05 Dec-05 Jul-06 Jan-07Fig. 9 Bathymetries made <strong>in</strong> part of the stream next to the <strong>watershed</strong>outlet: October, 2003.Fig. 10 Bathymetry made <strong>in</strong> part of the stream next to the <strong>watershed</strong>outlet: January, 2005.carried <strong>in</strong>to the stream because of ra<strong>in</strong>. Although the<strong>in</strong>habitants rebuild these embankments, the erosion ofthese materials will end up <strong>in</strong> the stream aga<strong>in</strong>.SamplesFig. 8 TOC (%) <strong>in</strong> suspended sediment samples.Fig. 11 Fluvial erosion of the marg<strong>in</strong>s.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten76Zn ( g g-1)7006005004003002001000Oct-03 Mar-04 Aug-04 Dec-04 May-05SamplesBackgroundFig. 12 Banks formed by solid sediments and residues <strong>in</strong> the centralpart of the stream bed.Fig. 13 Solid residues accumulated <strong>in</strong> the <strong>watershed</strong> outlet after ara<strong>in</strong> event.The group of sediments from streets, theembankments and also solid residues carried <strong>in</strong>to thestream dur<strong>in</strong>g the ra<strong>in</strong> <strong>in</strong>creases the <strong>in</strong>stability of thechannel, generat<strong>in</strong>g mixed banks of sediments and solidresidues to the stream bed (Fig. 12).The percentage of solid residues collection <strong>in</strong> thecity reaches 99%. Only <strong>in</strong> areas very close to thestream this service is not offered, although there aresome sites with big collect<strong>in</strong>g boxes. However, itdoes not avoid a great amount of solid residues frombe<strong>in</strong>g thrown <strong>in</strong>side the stream, and it is more visibleafter a period of ra<strong>in</strong> (Fig. 13).Assessment of Potential Environmental Risks fromSedimentsThe annual sediment discharge is approximately eighttons. To assess the metal concentration <strong>in</strong> thesediment, and thus enable a first analysis on possibleecological impact to the environment, it is commonlyused tools as guidel<strong>in</strong>es or backgroundconcentrations. Therefore, for tudies on theconcentrations of Zn, Pb and Cr <strong>in</strong> suspendedFig. 14 Frequency of Zn concentrations <strong>in</strong> the fluvial suspendedsediments compared to the background values (redhorizontal l<strong>in</strong>e).sediment samples, it was used the backgroundconcentrations as the own <strong>watershed</strong> limit. Zn, Pb andCr contents of suspended sediments were greater than <strong>in</strong>the soils of the <strong>watershed</strong>, as shows Dong et al. (1983)<strong>studies</strong>.The results of Zn <strong>studies</strong> have shown that 100% ofthe suspended sediment samples have theirconcentrations above the reference value (background),as presented <strong>in</strong> Fig. 14.The concentrations found <strong>in</strong> the samples presentedan average of 326.16 µg/g and a standard deviation of108.64. It was greater than what was found <strong>in</strong> <strong>studies</strong>accomplished <strong>in</strong> <strong>urban</strong>ized areas <strong>in</strong> Hawaii by De Carloet al. (2004). These results suggest that a highenrichment of the local sediment with Zn is occurr<strong>in</strong>g.Guéguen et al. (2000) found similar concentrations <strong>in</strong>Poland and they considered the place was verycontam<strong>in</strong>ated.Concentrations of Pb (Fig. 15) <strong>in</strong> the analyzedsuspended sediment samples have an average of 52 µg/g, and all samples have exceeded the background value.In another study <strong>in</strong> Australia, the researches(Simonovski et al., 2003) found concentrations threetimes higher than the background value and theyconsidered that the area was contam<strong>in</strong>ated by <strong>in</strong>dustrialactivities.Pb ( g g-1)9080706050403020100Oct-03 Mar-04 Aug-04 Dec-04 May-05SamplesBackgroundFig. 15 Frequency of Pb concentrations <strong>in</strong> the fluvial suspendedsediments compared to the background values (redhorizontal l<strong>in</strong>e).Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten77Cr (µg g -1 )50454035302520151050Oct-03 Mar-04 Aug-04 Dec-04 May-05SamplesBackgroundFig. 16 Frequency of Cr concentrations <strong>in</strong> the fluvial suspendedsediments compared to background values (red horizontall<strong>in</strong>e).The average of Cr concentration <strong>in</strong> the samplespresented 30.34 µg/g and a standard deviation of 7.51.As observed <strong>in</strong> Fig. 16, most of the samples’concentration has exceeded the local background (itsaverage is the double of the background limit). Thehigher values can be consequence of the <strong>urban</strong>izationbut they are lower than the values presented by DeCarlo et al. (2004) <strong>in</strong> fluvial sediment <strong>studies</strong> <strong>in</strong> Hawaii(392 e 469 µg/g).The <strong>urban</strong> dust samples were collected and the samethree metals were analyzed, and their distribution <strong>in</strong> the<strong>urban</strong> <strong>watershed</strong> can be observed <strong>in</strong> Figs 17, 18 and 19.Zn appeared <strong>in</strong> high concentrations <strong>in</strong> all the area(almost homogeneous distribution), so it is almostimpossible to dist<strong>in</strong>guish the different values presented<strong>in</strong> Fig. 17.Fig. 18 Distribution of Pb concentrations <strong>in</strong> the <strong>urban</strong> <strong>watershed</strong>.The peaks of Pb concentrations appeared on pavedstreets and downstream. Figure 18 presents thedistribution of Pb. It occurs because dur<strong>in</strong>g the stormsthe metals associated to dusts <strong>in</strong> the streets are led to thestream.Concentrations of Cr (Fig. 19) are higher <strong>in</strong> pavedstreets and <strong>in</strong> more <strong>urban</strong>ized areas, as well as Pb. Manycar repairs <strong>in</strong> the middle area of the <strong>watershed</strong> can beobserved.Fig. 17 Distribution of Zn concentrations <strong>in</strong> the <strong>urban</strong> <strong>watershed</strong>.Fig. 19 Distribution of Cr concentrations <strong>in</strong> the <strong>urban</strong> <strong>watershed</strong>.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


Poleto and Merten78The diffuse sources of pollutants have strong<strong>in</strong>fluence <strong>in</strong> the results of the fluvial suspendedsediment contam<strong>in</strong>ation. It can be observed <strong>in</strong> Table 2three ma<strong>in</strong> sediment sources <strong>in</strong> this <strong>urban</strong> <strong>watershed</strong>present<strong>in</strong>g the most concentrations of these metals onpaved streets.Table 2. Average concentrations (µg/g) of Zn, Pb and Cr <strong>in</strong> <strong>urban</strong>dusts <strong>in</strong> the three ma<strong>in</strong> sources of sedimentsMetals Paved Unpaved(µg/g) streets streetsStreamZn 377.64 139.95 201.73Pb 79.66 36.45 49.78Cr 35.19 20.41 23.52This result is similar to other <strong>studies</strong>, as De Miguelet al. (1997), Charlesworth et al. (2003) and Taylor(2007). Paved streets are shown as the ma<strong>in</strong> source ofmetals and other contam<strong>in</strong>ants.ConclusionsThe <strong>in</strong>stability caused by the <strong>urban</strong> <strong>watershed</strong> <strong>in</strong> thefluvial system is due to a group of factors. One of themis the absence of public policies related to <strong>in</strong>vestments<strong>in</strong> basic <strong>in</strong>frastructure, such as the pavement of streets,popular set of houses and sewer treatment stations,without mention<strong>in</strong>g the socioeconomic and culturalsituation of the population who live <strong>in</strong> this denselyoccupied area, ma<strong>in</strong>ly characterized by low <strong>in</strong>come andlittle or no school<strong>in</strong>g people.The socioeconomic characteristics and the exist<strong>in</strong>g<strong>in</strong>frastructure conditions <strong>in</strong> the studied area show thatthis <strong>watershed</strong> is very representative for the existentconditions <strong>in</strong> most of Brazilian peripheries. Therefore, itis possible to <strong>in</strong>fer that the results obta<strong>in</strong>ed through thediagnosis of the damage caused to the fluvial systemcan be applied <strong>in</strong> other fields present<strong>in</strong>g similarcharacteristics as the present study.Concentrations of Zn, Pb and Cr <strong>in</strong> fluvial suspendedsediments have presented signals of anthropogenicenrichment two or more times higher than thebackground values, even this <strong>watershed</strong> be<strong>in</strong>gconsidered a non-<strong>in</strong>dustrial area. Therefore, the resultssuggest that a high enrichment of local sedimentbecause of these metals is occurr<strong>in</strong>g.The concentrations of these elements varytemporally dur<strong>in</strong>g storms due to <strong>in</strong>put of streets runoffconta<strong>in</strong><strong>in</strong>g high concentration of elements associated tovehicular traffic and other anthropogenic activities. Ingeneral, they have their most concentrations on dustsfrom paved streets but they are carried out to thechannel dur<strong>in</strong>g the storms. Then, it is possible to saythat the contam<strong>in</strong>ation of the <strong>watershed</strong> is reflected <strong>in</strong>the results obta<strong>in</strong>ed <strong>in</strong> fluvial suspended sediments.Acknowledgment I would like to thank AliceRodrigues Cardoso, USGS, Fapergs and CNPq.REFERENCESCalhoun D.L., Frick E.A. & Buell G.R. (2003) Effects of <strong>urban</strong>development on nutrient loads and streamflows, upperChattahoochee River Watershed, Georgia, 1976–2001. In:Hatcher K. J. (ed.): Proc. 2003 Georgia Water Resour. Conf.,Athens, Georgia, 23−24.Charlesworth, S.M., Everett, M., McCarthy, R., Ordóñez, A. &Miguel, E. (2003) A Comparative study of heavy metalconcentration and distribution <strong>in</strong> deposited street dusts <strong>in</strong> a largeand a small <strong>urban</strong> area: Birm<strong>in</strong>gham and Coventry, WestMidlands, UK. Environ. Int. 29, 563−573.Dahl, A. L. (2005) Comparison of direct and operational methods forprob<strong>in</strong>g metal bioavailability and speciation <strong>in</strong> aquatic systems.Thesis, Northwestern University, Evanston, Ill<strong>in</strong>ois, USA.De Carlo, E.H., Beltran, V.L. & Toml<strong>in</strong>son, M.S. (2004)Composition of Water and Suspended Sediment <strong>in</strong> Streams ofUrbanized Subtropical Watersheds <strong>in</strong> Hawaii. Appl. Geochemistry19, 1011−1037.De Miguel, E., Llamas, J.F., Chacón, E., Berg, T., Larssen, S.,Royset, O. & Vadset, M. (1997) Orig<strong>in</strong> and Patterns ofDistribution of Trace Elements <strong>in</strong> Street Dust: Unleaded Petroland Urban Lead. Atmosphery Environ. 31, 2733−2740.Dong, A., Chesters, G., Simsiman, G. V. (1983) Metal compositionof soil, sediments, and <strong>urban</strong> dust and dirt samples from theMenomonee River Watershed, Wiscons<strong>in</strong>, U.S.A. Water, Air, &Soil Pollut., 22, 257–275.Guéguen, C., Dom<strong>in</strong>ik, J., Pardos, M., Benn<strong>in</strong>ghoff, C. & Thomas,R.L. (2000) Partition of Metals <strong>in</strong> the Vistula River and <strong>in</strong>Effluents from Sewage Treatment Plants <strong>in</strong> the Region of Cracow(Poland). Lakes & Reservoirs: Res. and Management 5, 59−66.Horowitz, A.J. (1991) A primer on sediment-trace elementchemistry. 2 ed., Lewis Publishers, Chelsea, EUA.Horowitz, A.J., Elrick, K.A. & Smith, J.J. (2001) Estimat<strong>in</strong>gSuspended Sediment and Trace Element Fluxes <strong>in</strong> Large RiverWatersheds: Methodological Considerations as Applied to theNASQAN Programme, Hydrol. Processes 15, 1107−1132.Mudroch, A., Azcue, J. & Mudroch, P. (1997) Manual of physicochemicalanalysis of aquatic sediments. CRC Press, Florida, EUA.Poleto, C. & Gonçalves, G.R. (2006) Qualidade das amostras evalores de referência. In: Qualidade dos Sedimentos (ed. byPoleto, C. & Merten, G.H., Porto Alegre, Brazil, 2006), ABRH,Brazil.Poleto, C. & Teixeira, E.C. (2006) Processamento de Amostras eExtrações Seqüenciais. In: Qualidade dos Sedimentos (ed. byPoleto, C. & Merten, G.H., Porto Alegre, Brazil, 2006), ABRH,Brazil.Simonovski, J., Owens, C. & Birch, G. (2003) Heavy metals <strong>in</strong>sediments of the Upper Hawkesbury-Nepean River. AustralianGeographical Studies 2(41), 196–207.Taylor, K. (2007) Urban environments. In: Perry, C., Taylor, K.(Eds.). Environmental Sedimentology. Blackwell Publish<strong>in</strong>g Ltd.,UK.USGS − United States Geological Survey (2003) Effects of <strong>urban</strong>development on floods. Fact Sheet FS-076-03. Available:http://water.usgs.gov.dk visited 30 December 2004.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.70-78, 2007


J U E EJournal of Urban and EnvironmentalEng<strong>in</strong>eer<strong>in</strong>g, v.1, n.2 (2007) 79–86ISSN 1982-3932doi: 10.4090/juee.2007.v1n2.079086Journal of Urban andEnvironmental Eng<strong>in</strong>eer<strong>in</strong>gwww.journal-uee.orgA PROPOSED APPROACH OF SEDIMENT SOURCES ANDEROSION PROCESSES IDENTIFICATION AT LARGECATCHMENTSPreksedis M. Ndomba 1∗ , Felix W. Mtalo 1 and Ånund Kill<strong>in</strong>gtveit 21 University of Dar es Salaam, Tanzania2 Norwegian University of Science and Technology, NorwayReceived 16 July 2007; received <strong>in</strong> revised form 19 September 2007; accepted 26 November 2007Abstract:Keywords:In the subject of identify<strong>in</strong>g sediment sources and erosion processes at catchment levelresearchers have proposed various methods. Most of the techniques have been applied<strong>in</strong> isolation. A few workers have comb<strong>in</strong>ed some methods but still they could notascerta<strong>in</strong> their f<strong>in</strong>d<strong>in</strong>gs. As a result they recommended more sophisticated methods <strong>in</strong>order to compare the results. Little however has been done to correlate suspendedsediment concentrations us<strong>in</strong>g spatial and temporal hydrological variables like ra<strong>in</strong>falland surface runoff at reasonable time step such as daily time series. In this studyselected methods by previous workers are used and compared. The hydrologicalvariables mapp<strong>in</strong>g technique has complemented the results of various renownedsediment sources identification techniques. The <strong>in</strong>troduced method gives not onlyprobable sources and processes but also it additionally identifies location basedsediment sources us<strong>in</strong>g ra<strong>in</strong>fall stations as po<strong>in</strong>ters. The comb<strong>in</strong>ed results from bothmethods <strong>in</strong>dicate that either clay soil land plots or agricultural areas are potentialsediment source areas. The result is comparable to previous researchers’ f<strong>in</strong>d<strong>in</strong>gs <strong>in</strong> thePangani River bas<strong>in</strong> that mapped the erosion zones us<strong>in</strong>g simple empirical and complexphysics-based mathematical models. Although, the methods adopted <strong>in</strong> this studylacked high-resolution data, the authors believe that the methods and modificationsapplied give a quick, reliable and more <strong>in</strong>sight to future sediment yield modell<strong>in</strong>gefforts at a catchment level. For <strong>in</strong>stance, a distributed <strong>watershed</strong> sediment yield modelwould be appropriate based on high spatial and temporal variation of the hydrologicalvariables as reported <strong>in</strong> this study. Also, the results suggest that Sediment yield modelthat simulates sheet erosion might be an ideal tool s<strong>in</strong>ce the major source areas of thetransported sediment are topsoils or sheet erosion.Correlation; erosion processes; f<strong>in</strong>gerpr<strong>in</strong>t; hydrologic variables; sediment sources© 2007 Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE). All rights reserved.∗ Correspondence to: Preksedis M. Ndomba. E-mail: pmndomba2002@yahoo.co.uk


Ndomba, Mtalo and Kill<strong>in</strong>gtveit80INTRODUCTIONAn ideal way to study erosion sources and processeswould be to collect the sediment flow data spatially, atleast from each of the river tributaries. Such a researchproject would def<strong>in</strong>itely be demand<strong>in</strong>g <strong>in</strong> terms ofresources (i.e. time, fund<strong>in</strong>g and personnel) andlogistical issues (Ndomba, 2007).A number of <strong>in</strong>direct methods for evaluat<strong>in</strong>gsediment sources exist. Basic relationships betweenconcentration of suspended sediment (C) and waterdischarge (Q) dur<strong>in</strong>g s<strong>in</strong>gle hydrologic events have beenused by others (Peart & Wall<strong>in</strong>g, 1988; Williams, 1989;Ndomba, 2007) as <strong>in</strong>direct method to identify sedimentsources. However, the potential mix and<strong>in</strong>terrelationships of these and other variables present aformidable challenge to predict<strong>in</strong>g the type andmagnitude of C - Q relation for a particular site andoccasion (Williams, 1989). Because of the problemsassociated with sediment storage and evaluat<strong>in</strong>g erosionbased on direct methods, Peart & Wall<strong>in</strong>g (1988) haddifficulties <strong>in</strong> quantify<strong>in</strong>g the contribution made bybank erosion. Besides, other researchers such as Bogen& BØnsnes (2003) have used suspended sedimentconcentration rat<strong>in</strong>g curves to analyze the processes.The application of such approach would be limited tocatchments where no adverse changes <strong>in</strong>landuse/landcover or landscape modification have takenplace (Ndomba, 2007). Another more elaborative<strong>in</strong>direct method applied by many workers is thef<strong>in</strong>gerpr<strong>in</strong>t<strong>in</strong>g technique to date. This method is basedon the pr<strong>in</strong>cipal that sediments <strong>in</strong> suspension ma<strong>in</strong>ta<strong>in</strong>some of the geochemical properties of their parentmaterial, and that these properties can thus be used astracers (M<strong>in</strong>ella et al., 2004). However, the use ofsediment property data to evaluate sediment source isnot without difficulties.The forego<strong>in</strong>g discussions suggest that there are nocompell<strong>in</strong>g methods on this subject. Althoughprecipitation <strong>in</strong>tensity and areal distribution and runoffamount and rate are known hydrological variables that<strong>in</strong>fluence the sediment transport, to the knowledge ofthe authors little or none has been done to correlatethese variables at reasonable time scale (daily andhourly) at a catchment level. Ra<strong>in</strong>fall was conceived <strong>in</strong>this study as a trigger and driver of runoff and thussediment.Therefore, the study explores the spatially distributednature of the ra<strong>in</strong>fall stations <strong>in</strong> the catchment tocorrelate to sediment sources, locat<strong>in</strong>g site specificsediment sources. The authors of this paper believe thatthe approach <strong>in</strong>directly imitates distributed modell<strong>in</strong>gphilosophy. Besides, temporal mapp<strong>in</strong>g of hydrologicalvariables such as ra<strong>in</strong>fall, total stream flow and surfacerunoff are used <strong>in</strong> this study to analyze the seasonalsediment fluxes responses, for erosion processesidentification. The proposed method is validated us<strong>in</strong>gprevious erosion study f<strong>in</strong>d<strong>in</strong>gs <strong>in</strong> the same catchment.MATERIAL AND METHODSThe Pangani River Bas<strong>in</strong> (PRB) is located, betweenLatitudes, 02 ° 55’S and 05 o 40’S; Longitudes, 36 o 20’ Eand 39 o 02’ E, <strong>in</strong> the North Eastern part of Tanzania andcovers an area of about 42,200 km 2 , with approximately5% <strong>in</strong> Kenya (Fig. 1). The Pangani River has two ma<strong>in</strong>tributaries, the Kikuletwa (1DD1) and the Ruvu (1DC1)(Fig. 1), which jo<strong>in</strong> at Nyumba Ya Mungu (NYM) areservoir of some 140 km 2 .The study area is the Nyumba Ya Mungu Reservoir(NYM) catchment located <strong>in</strong> the upstream of PBR (Fig.1). The ma<strong>in</strong> subcatchments <strong>in</strong> the study area areWeruweru, Kikafu, Sanya, Upper Kikuletwa and MountMeru slopes. The catchment of NYM occupies a totalland and water area of about 12,000 km 2 (Ndomba,2007) It is located between Latitudes 3 o 00'00'' and4 o 3'50'' South, and Longitudes 36 o 20'00'' and 38 o 00'00''East. This area has an average annual ra<strong>in</strong>fall of about1000 mm. The ra<strong>in</strong>fall pattern is bimodal with twodist<strong>in</strong>ct ra<strong>in</strong>y seasons, long ra<strong>in</strong>s from March to Juneand short ra<strong>in</strong>s from November to December (Rohr,2003). Recent f<strong>in</strong>d<strong>in</strong>gs by Rohr and Kill<strong>in</strong>gtveit (2003)<strong>in</strong>dicate that the maximum precipitation on the <strong>southern</strong>hillside of Mount Kilimanjaro takes place at about 2,200m.a.s.l., which is 400–500 m higher than assumedpreviously. The altitude <strong>in</strong> the study area rangesbetween 700 and 5,825 m.a.s.l. with MountKillimanjaro peak as the highest ground. Based on theSoil Atlas of Tanzania (Hathout, 1983), the ma<strong>in</strong> soiltype <strong>in</strong> the upper PRB is clay with good dra<strong>in</strong>age (Fig.1). It should be noted that polygons mapped <strong>in</strong> Fig. 1represent soil type coverage. Actively <strong>in</strong>ducedvegetation, forest, bushland and thickets with somealp<strong>in</strong>e desert chiefly characterize the land cover of thecatchment.This study used the technique of mapp<strong>in</strong>g ofhydrological variables such as ra<strong>in</strong>fall <strong>in</strong> spatial andtemporal doma<strong>in</strong> <strong>in</strong> relation to sediment transportcharacteristics at the outlet of the catchment. AnAutomatic pump<strong>in</strong>g sampler, ISCO 6712, was used tocollect high frequent subdaily sediment samples (i.e.,between 2 and 12 samples a day) at 1DD1 gaug<strong>in</strong>gstation (Fig. 1).For the purpose of validat<strong>in</strong>g the proposed approach,this study adopted multi-approaches to identify thesediment sources and erosion processes. The knownmethods used <strong>in</strong> this study <strong>in</strong>clude analyses of s<strong>in</strong>glehydrological events as sampled from cont<strong>in</strong>uoussediment pump<strong>in</strong>g sampler and water levels record<strong>in</strong>gdata logger; f<strong>in</strong>gerpr<strong>in</strong>t<strong>in</strong>g approach where organicmatter contents and particle size distribution of thetransported sediment by rivers or those deposited <strong>in</strong> thedownstream reservoirs give clues on the orig<strong>in</strong> andprocesses of sediment <strong>in</strong> the catchment. The details ofwhich can be found <strong>in</strong> Ndomba (2007).Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007


Ndomba, Mtalo and Kill<strong>in</strong>gtveit81Fig. 1 A location map of Nyumba Ya Mungu Reservoir catchment and sediment sampl<strong>in</strong>g sites, <strong>in</strong> the study area.RESULTS AND DISCUSSIONSpatial and temporal mapp<strong>in</strong>g of hydrologicalvariables: ra<strong>in</strong>fall, discharges and surface runoffThis analysis was conducted at a test sub-catchmentcalled 1DD1 where adequate and reliable hydrologicaldata is available (Fig. 1). Five representative ra<strong>in</strong>fallstations out of 31 used <strong>in</strong> the analysis <strong>in</strong>cludeKibong’oto Hospital station (9337078); Masama Estate(9337028); Dolly Estate (9336015); Imani Estate Oljoro(9336059) and Themi Estate (9336013); located nearthe centroid of the ma<strong>in</strong> subcatchments called Kikafu,Weruweru, Sanya, Upper Kikuletwa and Mount Meruslopes subcatchments, respectively, were used (Figs 1and 2, and Table 1).The numbers <strong>in</strong> the brackets are the ra<strong>in</strong>fall stationcodes. However, you will note that for clarity purposenot all ra<strong>in</strong>fall stations were mapped <strong>in</strong> Fig. 1. Theentire set of 31 ra<strong>in</strong>fall stations as presented <strong>in</strong> Table 1above was used to fill miss<strong>in</strong>g data <strong>in</strong> representativestations with the help of Inverse distance squarealgorithm. An areal ra<strong>in</strong>fall method was considered notsuitable because many stations have miss<strong>in</strong>g data and itslump<strong>in</strong>g nature <strong>in</strong> spatial doma<strong>in</strong> would distort thera<strong>in</strong>fall <strong>in</strong>tensity and sensitivity to flow discharges andsediment downstream at 1DD1 station.The same data quality and set of ra<strong>in</strong>fall stations wassuccessfully used by Ndomba (2007) <strong>in</strong> sediment yieldmodel<strong>in</strong>g work. The ra<strong>in</strong>fall pattern <strong>in</strong> the catchment isknown to be highly spatially variable (Rohr, 2003; Rohr& Kill<strong>in</strong>gtveit, 2003).Daily ra<strong>in</strong>fall mapp<strong>in</strong>gQualitative comparison of temporal plotsFigures 2(a–e) suggest that first ra<strong>in</strong>s of Masika fromUpper Kikulewa, Mount Meru and Sanya aroundTable 1. Inventory of ra<strong>in</strong>fall stations used <strong>in</strong> the studyLocation Data availabilityStationcodeLatitudeLongitudeElevation(masl)Start yearEnd yearPeriod(years)Miss<strong>in</strong>g(%)9336000 -3.30 36.65 1609 1928 1993 66 99336001 -3.38 36.68 1372 1922 1994 73 59336011 -3.35 36.60 1402 1927 1994 68 99336013 -3.40 36.70 1372 1935 2005 71 609336014 -3.32 36.45 1585 1935 2004 70 59336015 -3.42 36.86 1067 1945 1998 54 99336031 -3.33 36.62 1432 1955 1995 41 19336033 -3.37 36.63 1387 1953 1995 43 29336035 -3.38 36.87 1136 1980 2005 26 169336036 -3.30 36.92 1676 1962 1994 33 169336039 -3.38 36.68 1402 1966 2004 39 19336045 -3.38 36.87 1153 1973 1994 22 29336059 -3.50 36.67 1150 1977 1994 18 89337002 -3.30 37.22 975 1929 2005 77 99337004 -3.35 37.33 813 1929 2005 77 29337005 -3.25 37.32 1478 1929 2005 77 119337021 -3.23 37.25 1250 1935 2005 71 49337028 -3.53 37.33 701 1938 2005 68 29337029 -3.40 37.32 762 1937 1995 59 39337073 -3.33 37.30 914 1952 1994 43 109337078 -3.19 37.10 1249 1954 2004 51 69337091 -3.34 37.34 840 1960 2005 46 89337098 -3.23 37.32 1463 1964 1991 28 39337115 -3.42 37.07 891 1972 2005 34 79337116 -3.23 37.35 1456 1989 2005 17 189337121 -3.22 37.28 1344 1973 2005 33 169337122 -3.47 37.33 876 1974 1994 21 59337123 -3.27 37.32 1165 1973 1994 22 19337136 -3.25 37.15 1143 1975 1988 14 09337140 -3.25 37.35 1371 1976 1994 19 4Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007


Ndomba, Mtalo and Kill<strong>in</strong>gtveit82March are responsible for transport<strong>in</strong>g sediments <strong>in</strong>tothe rivers because they peak simultaneously withsediment concentration plots. Another notableobservation for Weruweru and Kikafu catchments (i.e.subcatchments located along Mont Kilimanjaro slopes)sediment yield characteristics is that sediment sourcesbecome exhausted with time, Figs 2(a–b), as depictedby attenuation of sedigraph from similar ra<strong>in</strong>fall storms.Probably it is because of clay soils <strong>in</strong> the mounta<strong>in</strong>slopes become exhausted and hence resistant to erosion.Figures 2(a–b) <strong>in</strong>dicate that Weruweru and Kikafucatchments ra<strong>in</strong>falls were responsible for transport<strong>in</strong>gsediments most of the time dur<strong>in</strong>g long ra<strong>in</strong>s season“Masika” between April and June, 2005. One may notefrom Figs 2(c–e) that Mount Meru slopes, UpperKikuletwa and Sanya catchments are responsible fortransport<strong>in</strong>g sediments dur<strong>in</strong>g first short ra<strong>in</strong>s season“Vuli” of October and November, 2005.Figures 2(a–e) are the temporal plots of daily meansuspended sediment concentrations (SS) at 1DD1 anddaily ra<strong>in</strong>fall amounts between March and November,2005 for ra<strong>in</strong>fall stations located at centroid ofrepresentative subcatchments.Quantitative (analytical) approach of comparisonbetween daily ra<strong>in</strong>fall amount and suspendedsediment concentrationsIt was considered imperative to use analytical tools toremove subjectivity <strong>in</strong> qualitative assessment ofsediment source areas <strong>in</strong> the catchment based onhydrological variables mapp<strong>in</strong>g. Both ra<strong>in</strong>fall andstreamflow as total discharge and surface runoff werequantitatively analyzed as discussed below.Correlation technique was adopted <strong>in</strong> this study to<strong>in</strong>dicate the responsiveness of sediment concentrations<strong>in</strong> rivers to the spatial ra<strong>in</strong>fall <strong>in</strong>tensities (Table 2). Thevariables are not expected to be l<strong>in</strong>early correlated butrelative variation of correlation coefficients gives anidea of both spatial and temporal responses. Besides, astrong correction between the variable and sedimentdelivery response is confirmed if the computedcorrelation coefficient is higher than the correspond<strong>in</strong>gvalue from the table at 1% probability level ofsignificance, p, (Statsoft, 2006).Susp. sediment conc.(SS)[m g /l]70006000500040003000200010000MarAprMayJunJulAugSepOctNov020406080100D aily ra<strong>in</strong> fall am o u n t[mm]Kikafu ra<strong>in</strong>fall SS at 1DD1Fig. 2(a) Kikafu at Kibong’oto Hospital ra<strong>in</strong>fall station, code9337078.Susp. sediment conc.(SS)[m g /l]70006000500040003000200010000MarAprMayJunJulAugSepOctNov020406080100Daily ra<strong>in</strong>fall amount[m m ]Weruweru ra<strong>in</strong>fall SS at 1DD1Fig. 2(b) Weruweru at Masama Estate ra<strong>in</strong>fall station, code93370028.Susp. sediment conc.(SS)[ m g /l]70006000500040003000200010000MarAprMayJunSanya ra<strong>in</strong>fallJulAugSepSS at 1DD1OctNovFig. 2(c) Sanya at Dolly Estate ra<strong>in</strong>fall station, code 93360015.Susp. sediment conc.(SS)[m g /l]70006000500040003000200010000MarAprMayJunJulAugSepOctNov020406080100020406080100D a ily ra <strong>in</strong> fa ll a m o u n t[m m]Daily ra<strong>in</strong>fall am ount[ mm]Upper Kikuletwa ra<strong>in</strong>fall SS at 1DD1Fig. 2(d) Upper Kikuletwa at Imani Estate Oljoro ra<strong>in</strong>fall station,code 9336059.S u sp . sed im en t co n c.(S S )[ m g /l]70006000500040003000200010000M a rAprM a yJunJulMt.Meru ra<strong>in</strong>fallAugSepSS at 1DD1OctNov020406080100D a ily ra <strong>in</strong> fa ll a m o u n t[ m m ]Fig. 2(e) Mount Meru slopes at Themi Estate ra<strong>in</strong>fall station, code9336013.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007


Ndomba, Mtalo and Kill<strong>in</strong>gtveit83A correlation analysis between hydrologicalvariables is also conducted to derive an impliedcorrelation between them and sediment supply sources.A ra<strong>in</strong>fall station for <strong>in</strong>stance, presents both as either asource location or driver for sediment supply to therivers. Correlation analysis results for the entiresampl<strong>in</strong>g period, that is, between 19 March and 22November, 2005 <strong>in</strong> Table 2 <strong>in</strong>dicate that Weruweru andKikafu catchment ra<strong>in</strong>falls are significantly correlated tosediment concentrations most of the time (i.e. r = 0.50and 0.48, respectively).One would note from Table 2 that sedimentconcentrations are significantly correlated withWeruweru and Kikafu catchments daily ra<strong>in</strong>fall andpoorly correlated with Meru, Sanya and UpperKikuletwa ra<strong>in</strong>falls dur<strong>in</strong>g a start of long ra<strong>in</strong>s (i.e. 19March–15 April, 2005). This result may seem tocontradict the qualitative analysis results as presentedabove, where comparable higher ra<strong>in</strong>fall storms andsediment concentrations were observed between UpperKikuletwa, Mount Meru and Sanya ra<strong>in</strong>falls andsediment concentrations at the sampl<strong>in</strong>g site. Dur<strong>in</strong>g thelong ra<strong>in</strong>s (i.e. 16 April–1 June, 2005), sedimentconcentrations are highly and significantly correlatedwith Weruweru and Kikafu catchments daily ra<strong>in</strong>falls, r= 0.80 and 0.75, respectively. However, one would notethat even Mount Meru slopes and Sanya ra<strong>in</strong>falls aresignificantly correlated to sediment delivered atcatchment outlet.This suggests that with the exception of UpperKikuletwa catchment various parts of the catchmentcontribute sediments to the outlet dur<strong>in</strong>g the wetseasons. First short ra<strong>in</strong>s (i.e. 1–22 November, 2005)from Mount Meru slopes and Upper Kikuletwacatchments are significantly correlated to early sedimenttransport with r = 0.74 and 0.66, respectively. In thisperiod, evidently based on correlation coefficients, withr < 0.04, which is well below the correspond<strong>in</strong>g tablevalue at 1% probability level of significance by oneorder of magnitude Weruweru and Kikafu catchmentsmight not contribute sediment to the river system. Thisis also supported by field work observations by theauthors whereby dur<strong>in</strong>g this time of the year no runofffrom Weruweru and Kikafu catchment contribute to the1DD1 sampl<strong>in</strong>g station.Table 2. Correlation coefficients, r, between spatial daily ra<strong>in</strong>fall amounts and daily mean suspended sediment concentrations at 1DD1sampl<strong>in</strong>g site for different seasons of the year 2005Daily mean SuspendedSediment Concentration at1DD1 siteSeasonsValue of ‘r’at p = 1%Daily ra<strong>in</strong>fall amounts at representative stationsMount Meru Upperslopes KikuletwaSanya Weruweru Kikafu19–22 March 0.25 0.15 0.10 0.24 0.50 0.4819 March–15 April 0.48 -0.17 0.06 0.03 0.50 0.5216 April–1 June 0.28 0.35 0.09 0.39 0.80 0.751–22 November 0.45 0.74 0.66 0.27 0.00 0.04(Note: p is a probability level of significance)This is compounded by the fact that this area has<strong>in</strong>tensified irrigated agriculture and therefore runofffrom a few drops of ra<strong>in</strong>fall is abstracted completely onits way downstream. Besides, from this study one wouldlearn that not all ra<strong>in</strong>s yield sediments especially fromMount Meru slopes and Upper Kikuletwa catchments.For <strong>in</strong>stance dur<strong>in</strong>g the start of long ra<strong>in</strong>s season thevariables as shown <strong>in</strong> Table 2 are poorly correlated,with r = -0.17 and 0.06, respectively. This may suggestthat short ra<strong>in</strong>s <strong>in</strong> these sub-catchments depletesediment sources. After first ra<strong>in</strong>s, probably the exposedbare lands are covered by vegetations and henceresistant to erosive agents.Also this study <strong>in</strong>vestigated the <strong>in</strong>fluence ofsuspended sediment residence times (i.e. travel lagtime). It should be noted that some ra<strong>in</strong>fall stations <strong>in</strong>Table 1 (Mount Meru slopes and Upper Kikuletwa) arelocated at greater distances (i.e. more than 120 km)from 1DD1 sampl<strong>in</strong>g site. Therefore, the correlationanalysis was conducted on lagged daily ra<strong>in</strong>fall amountsfor the distant stations. Ra<strong>in</strong>fall data for nearer stations(Sanya, Kikafu and Weruweru) were not lagged. Theoverall results <strong>in</strong>dicate that Weruweru and Kikafura<strong>in</strong>falls are still strongly correlated with suspendedsediment concentrations at 1DD1 sampl<strong>in</strong>g site most ofthe time as noted earlier. However, no ra<strong>in</strong>fall stationcorrelates with suspended sediment delivery <strong>in</strong> the firstra<strong>in</strong>s season (1–22 November, 2005).Probably, the poor correlation <strong>in</strong> the latter season asa result of ra<strong>in</strong>fall lagg<strong>in</strong>g exercise suggests either oftwo th<strong>in</strong>gs: (a) that most of the suspended sediment loadreaches the 1DD1 sampl<strong>in</strong>g site with<strong>in</strong> one day; (b) thatdaily ra<strong>in</strong>fall amount recorded at 9:00 hours andpresented <strong>in</strong> calendar date already represents a laggedra<strong>in</strong>fall data. Therefore, the results as derived <strong>in</strong> Table 2were considered as satisfactorily representative.Daily streamflow and surface runoff mapp<strong>in</strong>gIt should be noted that <strong>in</strong> this study surface runoff wasconsidered as sediment entra<strong>in</strong>ment agent <strong>in</strong> the uplandcatchment. Therefore, it is used here below as a goodsurrogate to sediment concentration and ra<strong>in</strong>fallJournal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007


Ndomba, Mtalo and Kill<strong>in</strong>gtveit84<strong>in</strong>tensity. However, both total streamflow and surfacerunoff are used for comparative purposes.Correlation coefficients between 1DD1 streamflowdischarges and daily ra<strong>in</strong>fall amounts of Weruweru andKikafu catchments are r = 0.60 and 0.58, respectively,between 19 March and 22 November, 2005; r = 0.51and 0.46, respectively, between 19 March and 15 April,2005; r = 0.60 and 0.58, respectively, between 16 Apriland 1 June, 2005; and poorly correlated, r < 0.36,between 1–22 November, 2005. Poor correlationcoefficients between streamflow discharges and dailyra<strong>in</strong>fall amounts for Mount Meru slopes, UpperKikuletwa and Sanya catchments are noted. Streamflowand sediment at 1DD1 site are highly correlated (r =0.66) dur<strong>in</strong>g the wet season (i.e. 16 April and 1 June,2005).Sediment response was also exam<strong>in</strong>ed <strong>in</strong> the contextof stormflow (quickflow) or surface runoff, which havebeen postulated by other workers as a possible deliverymechanism (Rieger et al., 1988). Surface runoff timeseries was obta<strong>in</strong>ed by filter<strong>in</strong>g the orig<strong>in</strong>al dischargeseries us<strong>in</strong>g a baseflow filter developed by Arnold &Allen (1999). Similar observations as noted above dorepeat. However, correlation coefficients for long ra<strong>in</strong>sseason (16 April and 1 June, 2005) has <strong>in</strong>creased to r =0.68. Although ra<strong>in</strong>s of early November have beenattributed to caus<strong>in</strong>g high sediment concentrations peaksdur<strong>in</strong>g this period (Table 2), low streamflow peakobserved <strong>in</strong> Fig. 3 suggests that these sources are solocalized <strong>in</strong> terms of area coverage and probably areexposed bare lands or loose soils/highly erodible soils.Temporal plot <strong>in</strong> Fig. 3 suggests that with<strong>in</strong> channelsediment sources such as river bed upstream of 1DD1station are <strong>in</strong>significant, because sedimentconcentrations become exhausted even if flow dischargeis susta<strong>in</strong>ed <strong>in</strong> the river reach. Probably, localizedra<strong>in</strong>falls and sediment sources might be responsible forsuspended sediment concentration peaks dur<strong>in</strong>g lowflows that are between July and October, 2005.Based on qualitative analysis of Fig. 3 one woulddeduce that gully erosion process is <strong>in</strong>significant,because sediment peaks do not lead the flood peaks,substantially.Susp. sediment conc.(SS)[m g /l]70006000500040003000200010000Mar-05Apr-05M ay-05Jun-05Jul-05Aug-05Sep-05Oct-05Nov-05050100150200250300SS at 1DD1 StreamflowFig. 3 Temporal plots of daily mean streamflow and meansuspended sediment concentrations (SS) at 1DD1 gaug<strong>in</strong>g station.Streamflow [m3/s]VALIDATION WITH OTHER METHODSThe study by Ndomba (2007) found that high organicmatter content and f<strong>in</strong>e-gra<strong>in</strong>ed characterize thesediment contents delivered at outlet. Us<strong>in</strong>gf<strong>in</strong>gerpr<strong>in</strong>t<strong>in</strong>g technique top layer A-horizon or Sheeterosion process dom<strong>in</strong>ates <strong>in</strong> 1DD1 catchment. Besides,sediment sources are headwater regions where bothfarm<strong>in</strong>g and animal keep<strong>in</strong>g activities are practiced.These are Weruweru, Kikafu and Mount Meru slopescatchments. Rat<strong>in</strong>g loops analyses <strong>in</strong>dicates thatcounterclockwise hysteresis dom<strong>in</strong>ates over clockwiseloops, 11 aga<strong>in</strong>st 3, from 14 analyzed s<strong>in</strong>glehydrological events especially dur<strong>in</strong>g the wet seasonsuggests that far sources from the sampl<strong>in</strong>g site areresponsible as major sediment supply <strong>in</strong> the catchment.Based on Particle Size Distribution analysis fromsediment samples <strong>in</strong> rivers and reservoir downstreamand mapp<strong>in</strong>g of catchmemt soil types, clays orig<strong>in</strong>at<strong>in</strong>gfrom localized regions of Mounts Kilimanjaro and Meruslopes are attributed to caus<strong>in</strong>g this pattern of sedimenttransport <strong>in</strong> Pangani River. From aerial photos<strong>in</strong>terpretation and model<strong>in</strong>g techniques it was found thatgrow<strong>in</strong>g gully features are few and localized <strong>in</strong> somemounta<strong>in</strong> foot slopes of the catchments (Ndomba,2007).One would note that the results of hydrologicalmapp<strong>in</strong>g have been satisfactorily validated with othersediment sources and erosion processes identify<strong>in</strong>gapproaches. Besides, the result is comparable toprevious researchers’ f<strong>in</strong>d<strong>in</strong>gs <strong>in</strong> the Pangani Riverbas<strong>in</strong> that mapped the erosion zones us<strong>in</strong>g simpleempirical and complex physics-based mathematicalmodels (Mtalo & Ndomba, 2002; Ndomba, 2007). For<strong>in</strong>stance, based on long-term Soil and WaterAssessment Tool (SWAT) model simulation, with<strong>in</strong>channel sediment sources contribution is only 3.2% ofthe 1DD1 subcatchment sediment yield (Ndomba,2007). This is to say the sediment transport along 1DD1catchment river channel is <strong>in</strong> equilibrium state. Besides,spatial simulations of soil loss us<strong>in</strong>g Universal Soil LossEquation built <strong>in</strong> SWAT model has <strong>in</strong>dependentlyshown that erosion rates are higher <strong>in</strong> agricultural landuse (Ndomba, 2007).TRANSFERABILITY OF RESULTS TO POORLYGAUGED SUBCATCHMENT, RUVU AT 1DC1This study could not afford to <strong>in</strong>stall automatic pump<strong>in</strong>gsampler at Ruvu subcatchment, 1DC1, because of twoma<strong>in</strong> reasons. Lack of adequate fund<strong>in</strong>g for purchas<strong>in</strong>gISCO 6712 mach<strong>in</strong>e for the site, and unsuitablehydraulic condition of the river required for ISCOpump<strong>in</strong>g sampler. As a result, most of the techniquespresented above were not applied directly to thiscatchment, rather a comparative assessment of sourcesand processes based on literature and f<strong>in</strong>d<strong>in</strong>gs <strong>in</strong>Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007


Ndomba, Mtalo and Kill<strong>in</strong>gtveit85Suspended Sediment conc. [mg/L]9008007006005004003002001000AprMayJun14 AugustJulSedigraphAugSepOctNovDecStreamflow water levelsFig. 4 Temporal plots of daily streamflow gauge heights andsuspended sediment concentrations (SS) sampled at 9:00 hours for1DC1 gaug<strong>in</strong>g station, between April 2005 and January 2006.1DD1 catchment were explored. The discussions beloware ma<strong>in</strong>ly based on Fig. 4.One would note that late April, 2005 sedimentsconcentration spikes are observed <strong>in</strong> the fall<strong>in</strong>g limb ofthe hydrograph. This suggests for bank erosion sourcesand processes. Mid May, 2005 a flood with sedimentconcentration peak of 830 mg/l lead<strong>in</strong>g the flowdischarges peak and falls sharply while the spread ofhydrograph is wider. As noted at 1DD1 site thatsediment transport concentrations <strong>in</strong> the catchment areso variable with<strong>in</strong> a day or a few days, thus such arepeated pattern at 1DC1 suggests that the sources ofsediments for both sampl<strong>in</strong>g stations might be the samethat is Mount Kilimanjaro foot slopes. In the periodbetween June and July, 2005 streamflow gauge heightsare high but sediment concentration is kept low. Theperiod is longer than the 1DD1 case, and probably thissuggests that clear sediment runoff waters from LakeJipe located upstream susta<strong>in</strong> the flow with little or nosediment supply.Series of sediment concentrations spikes characterizea period between August and early October thoughwater levels were steadily decl<strong>in</strong><strong>in</strong>g. There is an<strong>in</strong>dication that runoff contribution from ma<strong>in</strong> source ofwater, i.e. Lake Jipe is decl<strong>in</strong><strong>in</strong>g. Tributaries withheadwater at Mount Kilimanjaro slopes such as Himo,and Mue might be associated with these sedimentspikes. The same pattern of seasonal sediment transportwas observed with<strong>in</strong> the same period at 1DD1 and therealso Mount Kilimanjaro slopes were l<strong>in</strong>ked to assediment source areas.Mostly cascades of stream flow spikes withunrecognized pattern of sediment transport characterizea period between November and December, 2005.Runoff waters might be generated from <strong>in</strong>terven<strong>in</strong>gcatchment such as Kisangiro.But the sediment contribution from this catchment isnot much compared to unit runoff from tributaries withheadwaters at Mount Kilimanjaro. A few examples ofwhere sediment peak lags the streamflow peak aredepicted <strong>in</strong> Fig. 4 on 14 August, 2005. Probably, the<strong>in</strong>teractions with other factors such as backwater curvesJanFeb2.42.22.01.81.61.41.21.00.80.60.4Strealflow water levels [m]have suppressed this dom<strong>in</strong>ant pattern of sedimenttransport at 1DC1 station.CONCLUSIONThe study has found that the major erosion processes issheet erosion from agricultural fields <strong>in</strong> the headwaterregions of PRB as sediment sources. These are zones ofmaximum biological activity - the topsoil (i.e. A-horizon) or plow layer <strong>in</strong> slopes of Mounts Kilimanjaroand Meru slopes.Spatial and temporal mapp<strong>in</strong>g of hydrologicalvariables approach has complemented the results ofvarious renowned sediment sources identificationtechniques. The <strong>in</strong>troduced method gives not onlyprobable sources and processes but also it additionallyidentifies location based sediment sources us<strong>in</strong>g ra<strong>in</strong>fallstations as po<strong>in</strong>ters. However, it has been learned fromthis paper that for <strong>in</strong>-depth understand<strong>in</strong>g of the erosionsources and processes at the catchment level thehydrological variable mapp<strong>in</strong>g technique should not beapplied <strong>in</strong> isolation. The result from this study iscomparable to previous workers’ f<strong>in</strong>d<strong>in</strong>gs (Mtalo &Ndomba, 2002; Ndomba, 2007) <strong>in</strong> the same bas<strong>in</strong>.Although, some methods adopted <strong>in</strong> this studylacked high resolution data as recommended by otherworkers, still the author believes that the methodapplied <strong>in</strong> this study is quick, reliable and can give more<strong>in</strong>sight to erosion-sediment yield modell<strong>in</strong>g efforts at acatchment level <strong>in</strong> the follow up <strong>studies</strong>. The output ofthe proposed approach <strong>in</strong> this paper may be used toguide erosion-sediment yield models selection andapplications. For <strong>in</strong>stance, a distributed <strong>watershed</strong>sediment yield model would be appropriate for highspatial and temporal variation of the hydrologicalvariables as noted <strong>in</strong> this study. Also, the results suggestthat Sediment yield model that simulates sheet erosionwould be an ideal tool s<strong>in</strong>ce the major sources of thesediment transported are topsoils.Acknowledgement This work was fully funded by TheNorwegian Programme for Development, Research andEducation (NUFU) - the Postgraduate Programme forWater Management Project at University of Dar esSalaam.REFERENCESArnold, J.G. & Allen, P.M. (1999) Automated methods forestimat<strong>in</strong>g baseflow and ground water recharge from streamflowrecords. J. American Water Res. Association 35(2), 411−424.Bogen, J. & BØnsnes, T.E. (2003) Erosion and Sediment transport <strong>in</strong>High Arctic rivers, Svalbard. Polar Research 22(2), 175−189.Hathout, S.A. (1983). Soil Atlas of Tanzania. Tanzania Publish<strong>in</strong>gHouse, Dar es Salaam.M<strong>in</strong>ella, J.P.G., Merten, G.H., & Clarke, R.T. (2004) Identificationof sediment sources <strong>in</strong> a small rural dra<strong>in</strong>age bas<strong>in</strong>. In: SedimentTransfer through the fluvial system (ed. By Valent<strong>in</strong> Golosov,Vladimir Belyaev & Des E. Wall<strong>in</strong>g). Proc. InternationalSymposium held at Moscow, Russia, IAHS Publ. 288, IAHSPress, 44–51.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007


Ndomba, Mtalo and Kill<strong>in</strong>gtveit86Mtalo, F.W. & Ndomba, P.M. (2002) Estimation of Soil erosion <strong>in</strong>the Pangani bas<strong>in</strong> upstream of Nyumba ya Mungu reservoir.Water Resources Management: The case of Pangani Bas<strong>in</strong>. In:Issues and Approaches (Workshop Proc. Edited by J. O. Ngana.Chapter 18, 196–210. Dar es Salaam University Press.Ndomba, P.M. (2007) Modell<strong>in</strong>g of Erosion Processes and ReservoirSedimentation Upstream of Nyumba ya Mungu Reservoir <strong>in</strong> thePangani River Bas<strong>in</strong>. PhD Thesis (Water Resour. Engng) ofUniversity of Dar es Salaam, Tanzania.Peart, M.R. & Wall<strong>in</strong>g, D.E. (1988) Techniques for establish<strong>in</strong>gsuspended sediment sources <strong>in</strong> two dra<strong>in</strong>age bas<strong>in</strong>s <strong>in</strong> Devon, Uk:a comparative assessment. In: Sediment budgets (ed. By M.P.Bordas & D.E. Wall<strong>in</strong>g). Proc. Int. Symp. held at Porto Alegre,Brazil, IAHS Publ. 174, 269–279.Rieger, W.A., Olive, L.J. & Gippel, C.J. (1988) Channel sedimentbehavior as a basis for modell<strong>in</strong>g delivery processes. In: Sedimentbudgets (ed. By M.P. Bordas & D.E. Wall<strong>in</strong>g) Proc. Int. Symp.held at Porto Alegre, Brazil, IAHS Publ. 174, 541−548.Rohr, P.C. (2003) A hydrological study concern<strong>in</strong>g the <strong>southern</strong>slopes of Mt. Kilimanjaro, Tanzania. Dissertation (Faculty ofEng<strong>in</strong>eer<strong>in</strong>g Science and Technology), Trondheim, Norway,2003.Rohr, P.C. & Kill<strong>in</strong>gtveit, A. (2003). Ra<strong>in</strong>fall distribution on theslopes of Mt. Kilimanjaro. Hydrol. Sci. J. 48(1), 65−77.StatSoft (2006) Electronic Statistics Textbook. Tulsa, OK: StatSoft.http://www.statsoft.com/textbook/stathome.html. Visited onOctober 2006.Williams, G.P. (1989) Sediment concentrations versus waterdischarge dur<strong>in</strong>g s<strong>in</strong>gle hydrologic events <strong>in</strong> rivers. J. Hydrol.111, 89−106.Journal of Urban and Environmental Eng<strong>in</strong>eer<strong>in</strong>g (JUEE), v.1, n.2, p.79-86, 2007

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!