Size and scaling of predator-prey dynamics.

Abstract:

: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.

journal_name

Ecol Lett

journal_title

Ecology letters

authors

Weitz JS,Levin SA

doi

10.1111/j.1461-0248.2006.00900.x

subject

Has Abstract

pub_date

2006-05-01 00:00:00

pages

548-57

issue

5

eissn

1461-023X

issn

1461-0248

pii

ELE900

journal_volume

9

pub_type

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