Critique and sensitivity analysis of the compensation function used ...

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0.98 0.96 0.94 2 0.92 1 > n 3 cn & 0.90 >- t II .- m a m 0.88 a t . J - a n - 0.86 0, 0.84 0.8 2 0.80 6 0 RN L- D WG 76 - 0 8 5 7 NMAX/N, , RATIO OF MAXIMUM MODEL-CALCULATED CONCENTRATION TO EQUl L IBR IUM CONCENTRATION 0.5 4 .O 2 .o 0 0.2 0.4 0.6 0.8 1.0 A/, CONCENTRATION (number/!000 ft3) t- ~ 1.2 1.4 Fig. 2. Probability of survival vs concentration (Juvenile 1) (modified from Fig. 10 of ref. 2). Equivalent symbols used elsewhere in this report: YS = N,; KX = KE; KXO = KO.
toward zero. Thus, may be interpreted as the minimum rate of mortality that will exist in the system when population influences on mortality (competition for food, availability to predators, etc.) are eliminated. "In this sense, KO has the same system interpretation as does KE and Ns, i.e., it is representative of the "now" condition in the estuary, taking into account all positive and negative, natural and man-made influences on the system. "Equation 1, therefore, shows that, as concentrations ape reduced by plant effects, the mortality rate due to other effects will decrease, thereby compensating partially for the smaller numbers by allowing a larger fraction of the fish that remain to advance to the next stage. This will only partially offset the effects of the plant, since each early stage is subjected to elther entrainment or impingement by the plant. "Note that in the presence of a factor which will tend to increase population, such as a year in which "everything is right," the mortality rate, K, will exceed KE and the tendency to increase the population will be controlled. Thus, compensation can be seen to be the mechanism which keeps a fluctuating population under control. non-compensating feed back system is discussed in detail in the early testimony.[l] 7 The fate of a fluctuating "In summary, then, Equation 1 was chosen to represent background or existing survival kinetics in the model because it operates in a noma1 first order fashion about existing concentrations and will permit partial compensation if significant departures from existing levels occur upon introduction of new influences." LMS uses exactly the same compensation function in its real-time, two dimensional model .3 With one modification, LMS also uses the same compensation function in its completely (totally) mixed model (i.e., spatially homogeneous model).' The one modification is that the "saturation" or equilibrium population density (fish per Ns 9 unit volume) used in the two transport models, is replaced by YS, the "saturation" or equilibrium standing crop for the entire Hudson River estuary .
Page 1 and 2: 3 445b 0509637 5
Page 3: Contract NQ. kl-7405-eng-26 CRITIQU
Page 6 and 7: iv Together, the critique and sensi
Page 8 and 9: vi APPENDIX e. Output from sample r
Page 10 and 11: viii Figure Page 10 Schematic repre
Page 13 and 14: INTRODUCTION The primary issue in c
Page 15 and 16: "This kinetic model has been devel
Page 17: "These include, for exaniple, the p
Page 21 and 22: 9 the corresponding equilibrium mor
Page 23 and 24: 11 The range OT values used for eac
Page 25 and 26: 1, 2, and 3 (4585 cfs) and less tha
Page 27 and 28: 15 Sensitivity analysis for YS, the
Page 29 and 30: YS approach each other and the popu
Page 31 and 32: 19 increases, and thus, NMAX decrea
Page 33 and 34: 21 As the limbs sf the ~ ~ ~ ~ e ~
Page 35 and 36: 23 . The dependence of percent redu
Page 37 and 38: 25 The sl-ight decrease in percent
Page 39 and 40: 27 less than YS, while disabling th
Page 41: 29 of the curves in Figs. 1 and 2 i
Page 44 and 45: 33 already have implicitly criticiz
Page 46 and 47: 34 understanding about how the real
Page 48 and 49: 36 7. J. P. Lawler, "Sensitivity of
Page 50 and 51: ISM 0002 ISH 0003 ISN 0009 ISN 0005
Page 52 and 53: ISN 0106 ISH 0108 ISM 0110 ISN 0112
Page 54 and 55: ISN 0227 ISN 0229 ISU 0231 ISN 0232
Page 56 and 57: ISM 0336 ISH 0337 ISN 0338 ISN 0339
Page 58 and 59: ****e5 0 R T H A N C fi 0 S S R E P
Page 60 and 61: GPO UTH I W T OT YRXGHT *****F 0 R
Page 62: 12300 035U l,2*U0 0355 1,2500 0356
Page 65 and 66: iSI 034.2 XSB 0143 53
Page 67 and 68: SYIlBOL OLDMX PTXILIE RATIO GBOYTH
Page 69 and 70:
53 CO l PXlER OPTTONS - BAU E= ti&
Page 71 and 72:
LISEL DEPIWED REFERENCES 10 0010 oa
Page 73 and 74:
61 *****F o B T E A N c B o s s R E
Page 75:
COUFILER CPTTONS - NAN E= HATN.OPT=
Page 78 and 79:
UBhL 10 20 30 40 50 60 70 10000 101
Page 82 and 83:
... ... f4 ... II) . ... . .I . .O
Page 84 and 85:
37.00 44-00 51.00 58.00 45.00 72.00
Page 86 and 87:
-lx 1 m I. NPN r r ElbJ cl Yiu mmm
Page 88 and 89:
STAGH 2 LhFVIL STAGE KX[l/OI1)= 0.1
Page 90 and 91:
0' LO ZBS95' OC'E6Z C' LO ZL36L' 00
Page 92 and 93:
.............. * .................
Page 94 and 95:
0 0 0 0 0 0 0 0 c) 0 La OOQOoOOUOaO
Page 97 and 98:
85 ff' ., I: v) Y I tn 0. U - it CY
Page 99:
STOCK RECRUITREHI TABLE DWlNXTIOlS
Page 102 and 103:
T-i p! d h w m w .4 &? x 4 c? N ".
Page 104 and 105:
1 3 4 5 6 7 8 9 10 11 12 13 14 15 1
Page 106:
I 1 3 4 r 6 7 8 9 IO ll ; ' I I- 13
Page 109 and 110:
1-8, 9. 10. 11. 12. 13. 14. 15. 16.
Page 111 and 112:
113. 114. 115. 116. 117. 118. 119.
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Critique and sensitivity analysis of the compensation function used ...

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