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

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m 0 z -I 40 (L a W > lL 0 E 30 m 5 E z 0 !- V 3 n k e w V 20 10 a I- k 0; LL 0 u w m I 3 z r z 0 + U 3 CI w K k z W V a w a m > \ X a 5 P ...... .- 1 18 ---" -. ................... -. . ORNL-DWG 76.- 7906 ---., 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 VALUE OF AKX Fig. 5. Sensitivity of (a) percent reduction of yearlings, (b) percent reduction of adults, and (c) NF14XIYS to changes in KX values.
19 increases, and thus, NMAX decreases and approaches YS as the populations spend more time on the plateau (region of no compensation) and left limb of the compensation function. As a result percent reduction increases. At still higher KX values (AKX 1.1 >, NMAX becomes less than YS and the populations are restricted to the left limb which is compensatory at all points. As a result percent reduction decreases slightly. As KX decreases below the baseline levels, natural mortality decreases and thus NMAX increases and the populations spend more time on the right limb of the compensation function, which gets progressively steeper (i .e., stronger compensation), with the result that percent reduction decreases. Sensitivity analysis of KXO, the minimum mortality rate coefficient The dependence of percent reduction in number of yearlings and number of adults on KXO (KO of Eq. 1) is illustrated in Fig. 6. Values of KXO less than the baseline values (that is, where the multiplicative constant AKXO I < 0.8) result in lower percent reductions than the baseline case. Values of KXO greater than the baseline values (AKXO > 0.8) result in higher percent reductions. Once again, these trends are more ovbious at year 40 than year 1. For example, at year 40 the percent reduction in number of adults ranges from 8 to 85%, while at year 1 the percent reduction ranges from 4 to 14% (Fig. fib). Estimates of percent reduction are particularly sensitive to changes in KXO above the base1 ine values but become progressively less sensi tive bel ow the basel i ne val ues . The curves in Figs. 6a and 6b may be explained as fallows. The major effect on the compensation curves (Figs. 1 and 2) of changing KXO, while holding YS and KX constant, is to increase (ADO > 0.8) or decrease (AKXO > 0.8) the steepness of both the left and right limbs. When AKXQ = 1.0, a horizontal straight line at KXO = KK results; this case corresponds to no compensation. Values of KXO greater than KK (AKXO > 1 .O) are theoretically possible, but they have not been used in the present study; such cases correspond to depensatory mortality, i.e., a decrease in the mortality rate as standing crop increases,
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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
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Page 17 and 18: "These include, for exaniple, the p
Page 19 and 20: toward zero. Thus, may be interpret
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: YS approach each other and the popu
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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
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Page 52 and 53: ISN 0106 ISH 0108 ISM 0110 ISN 0112
Page 54 and 55: ISN 0227 ISN 0229 ISU 0231 ISN 0232
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Critique and sensitivity analysis of the compensation function used ...

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