24 R. Hryniewski, W. Mądry, D. Gozdowski, B. Roszkowska-Mądrations were in the form of quantitative as well as categorized variables (nominal or ordinal,expressed on a discrete numerical (i.e. rating) scale. On the basis of the answers obtainedin the survey more than 40 diagnostic variables were created.Diagnostic variablesIn order to identify the typology of the studied farms in terms of the farming systems,a relatively small number of key diagnostic variables is chosen, making sure that theyare essential in every aspect of the farming systems for the specific purpose of identifyingtheir typology [Kostrowicki 1977, Duvernoy 2000, Köbrich et al. 2003, Iraizoz et al.2007, Blazy et al. 2009, Chavez et al. 2010, Zawadka 2010]. In addition, these variablesshould not be strongly correlated; they should, however, show significant variation, suchthat the coefficient of variation is not lower than 50% [Köbrich et al. 2003, Serrano Martínezet al. 2004a, Thapa and Rasul 2005, Ruiz et al. 2009]. Taking into consideration theaim of this work and the methodological and statistical principles, 15 diagnostic variableswere chosen (Table 1).Table 1. Definitions of the diagnostic variables included in the analysis of the diversity andtypology of the farming systems on tobacco farmsTabela 1. Określenie badanych zmiennych uwzględnianych w analizie zróżnicowania i typologiisystemów produkcji w gospodarstwach rolniczych zajmujących się uprawą tytoniuVariableNaturalresourcesHumanResourcesTechnicalresourcesStructure ofproductionProductioninputVariabledesignationDefinition of the variable UnitsX1 Soil quality (weighted average soil quality class) rational numberX2 Share of grasslands in utilized agricultural area (UAA) %X3 Farm owner’s level of education a) ordinal scaleX4X5Workers employed in farm agricultural production per 1 haof UAANumber of innovative investments and productionimprovements made on the farm in the last 5 yearsrational numbernatural numberX6 Farm area haX7 Share of cereals in arable area (AA) %X8 Share of tobacco in AA %X9 Cattle density LSU ha –1 AAX10 Supply of organic fertilizers ton ha –1 yr –1X11 Supply of NPK fertilizers kg ha –1 yr –1X12 Agricultural production intensity index b)Yields X13 Yield of dried tobacco leaves from 2009 harvest ton ha –1 yr –1IncomestructureX14Contribution of agricultural production to total farmhousehold incomes%X15 Contribution of tobacco production to total farm incomes %a) 1 – elementary, 2 – vocational secondary, 3 – secondary, 4 – post-secondary, 5 – universityb) Agricultural production intensity index calculated on the basis of the normalized variables: cattle and pigsdensity, supply of NPK fertilizers, share of tobacco in AA (Herzog et al. 2006, Mądry et al. 2010)Source: Author’s elaboration.Źródło: Opracowanie własne.Acta Sci. Pol.
Typology of tobacco-based farming systems at the farm level in south-eastern Poland 25Statistical analysis of dataThe methodology of the statistical analysis applied here consists of three stages [Köbrichet al. 2003, Serrano Martínez et al. 2004a, b, Blazy et al. 2009, Carmona et al. 2010,Mądry et al. 2010]. In the first stage, a descriptive assessment of the variation in eachdiagnostic variable was carried out, using univariate statistical parameters.In the second stage, a Principal Component Analysis (PCA) was performed for allthe 15 diagnostic variables chosen. The analysis consists in creating mathematicallyp uncorrelated linear functions (principal components, PCs) for p original (observed) variables(here diagnostic variables) of the objects under study, each of which explains (captured,account for) the largest possible portion of the objects’ variance for all the variablesbeing analysed. A large proportion of the variance can be explained by only a few factors,usually two or three ones. This can occur when the original variables are rather highly correlated.Each PC can be interpreted as a common factor, understood as a substantive sourceof variation, determining the variables which are correlated with that component as well asbeing mutually correlated. The PCA was conducted on 15 diagnostic variables after standardizationin order to eliminate the effect of a different scale of the variables [Krzanowski2000, Hair et al. 2006]. In the third stage, a cluster analysis was performed with the Ward’smethod, using squared Euclidean distance on the first five principle components, for whichthe eigenvalues were higher than 1 [Krzanowski 2000, Köbrich et al. 2003, Serrano Martínezet al. 2004b, Hair et al. 2006, Chavez et al. 2010]. This method enables us classifyingstudied farms into homogenous but distinct groups in terms of all the diagnostic variablesunder consideration. These groups are also homogenous in terms of the farming systemsexisting in the range of the farms. Then, each of these farm groups identifies a particulartype of farming system within the population of the tobacco farms studied.GENERAL CHARACTERISATION OF FARMS IN TERMS OF INDIVIDUALDIAGNOSTIC VARIABLESThe estimates of the common statistical parameters for the 15 diagnostic variables(Table 2) indicate that tobacco farms in south-eastern Poland show highly variation formajority of the studied farming system descriptors.Characteristics and interpretation of the most important principal componentsThe first Principal Component (PC1): Intensification and specialization in cattleproductionThe first principal component (PC1) accounted for 23% of the total variation in thesurveyed sample of tobacco farms (Table 3). This most important principal componentwas significantly negatively correlated (|r|> 0.5) with the number of innovations (X5),farm area (X6), cattle density (X9), organic fertilizer use (X10), NPK fertilizer use (X11)and the production intensity index (X12). PC1 was also significantly positively correlatedwith contribution of tobacco production to total farm incomes (X15), which was negativelycorrelated with the important diagnostic variables just mentioned. For that reason,PC1, as factor 1, was called Intensification and specialization in cattle production.Oeconomia 10 (1) 2011
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74 A. Ptak-ChmielewskaSECTOR OF ACT
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76 A. Ptak-Chmielewskabirth rate fo
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78 A. Ptak-Chmielewskawere trade fi
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Table 1. Efficiency of real estate
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98 J. Sosnowski, G.A. CiepielaJalin
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100 J. Sosnowski, G.A. Ciepiela2007
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106 J. Sosnowski, G.A. Ciepiela1400
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108 J. Sosnowski, G.A. CiepielaOsek
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110 E. SzymańskaProducts by Activi
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112 E. Szymańskatroduced TFI which
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122 J. WiśniewskaStatistical analy
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124 J. WiśniewskaCommon Agricultur
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128 J. Wiśniewskathe application o
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130 J. Wiśniewskainstitutional cos
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132 J. Wiśniewskaemployed in agric
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134 J. WiśniewskaLong term viabili
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Local governance activities in supp
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Oeconomia 10 (1) 2011, 159-169CHANG
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Changes in rural women’s movement
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Ewa SzymańskaTourism function of M