By David H. Kelley
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26) where e is the conversion efficiency (0 < e < 1 when using biomass units for N and P) and with the usual interpretation of q as the maintenance costs and natural mortality of predators. 7). At very low food levels, it is conceivable that mortality could become infinitely high. At very high levels of consumption, additional consumption (possibly just killing prey without eating them) may not lead to proportionally more reproduction. The linear approximation is likely to be more accurate when predators are hungry.
5 can be interpreted as approximations of the gradual interference hypothesis in a given range of predator densities. In particular, the Arditi-Akçakaya model remains very useful because its mutual interference parameter m can be interpreted as the reciprocal of the slope of the predator isocline: it varies between m = 0 where the isocline is vertical and m = 1 where it is aligned with the origin. 5b), the simplification consisting of extending the slanted isocline all the way to the origin could be acceptable because population trajectories should not be interpreted literally in the vicinity of the origin.
9. It is particularly noteworthy that values m≈0, which would characterize a Lotka-Volterra response g(N)=a N, were never observed. Negative values were observed very rarely; they would indicate cooperation rather than interference. Values higher than 1 have been observed, but are uncommon. )P] declines for increasing numbers of predators. 1. Two laboratory experiments illustrating the application of the HV model to estimate the mutual interference parameter. 38. 18. From Hassell et al. (1976), with permission of Wiley-Blackwell.