Weitz Joshua S, Levin Simon A
Ecol Lett. 2006 May;9(5):548-57. doi: 10.1111/j.1461-0248.2006.00900.x.
We propose a scaled version of the Rosenzweig-MacArthur model using both Type I and Type II functional responses that incorporates the size dependence of interaction rates. Our aim is to link the energetic needs of organisms with the dynamics of interacting populations, for which survival is a result of a game-theoretic struggle for existence. We solve the scaled model of predator-prey dynamics and predict population level characteristics such as the scaling of coexistence size ranges and the optimal predator-prey size ratio. For a broad class of such models, the optimal predator-prey size ratio given available prey of a fixed size is constant. We also demonstrate how scaling predictions of prey density differ under resource limitation vs. predator drawdown. Finally, we show how evolution of predator size can destabilize population dynamics, compare scaling of predator-prey cycles to previous work, as well as discuss possible extensions of the model to multispecies communities.
我们提出了一个使用I型和II型功能反应的罗森茨韦格 - 麦克阿瑟模型的缩放版本，该模型纳入了相互作用率的大小依赖性。我们的目标是将生物体的能量需求与相互作用种群的动态联系起来，对于这种情况，生存是一场生存博弈论斗争的结果。我们求解了捕食者 - 猎物动态的缩放模型，并预测了种群水平特征，如共存大小范围的缩放和最优捕食者 - 猎物大小比。对于这类广泛的模型，给定固定大小的可用猎物时，最优捕食者 - 猎物大小比是恒定的。我们还展示了在资源限制与捕食者消耗情况下，猎物密度的缩放预测是如何不同的。最后，我们展示了捕食者大小的进化如何使种群动态不稳定，将捕食者 - 猎物周期的缩放与先前的工作进行比较，并讨论了该模型对多物种群落可能的扩展。
