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MULTITROPHIC MODELS OF PREDATOR-PREY ENERGETICS: I. AGE-SPECIFIC ENERGETICS MODELS—PEA APHID ACYRTHOSIPHON PISUM (HOMOPTERA: APHIDIDAE) AS AN EXAMPLE

Abstract

A simple age-specific energetics (calories or biomass) model for the growth and development, reproduction, respiration, ageing, and intrinsic survivorship as a function of temperature and per capita energy availability for pea aphid (Acyrthosiphon pisum (Harris)) is reported. The ratio of energy supply-demand is used to scale all of the rates in the model. The maximum demand for energy based upon current state values is used to drive the Frazer-Gilbert functional response model (i.e. food acquisition), which is a component of the metabolic pool model used to assimilate energy to growth, reproduction, respiration, and egestion. The extensive data sets on pea aphid energetics published by Randolph et al. (1975) were used to develop the model. As the model estimates reproduction (Mx ) and survivorship (Lx ) values, extensive published age-specific life-data sets on pea aphids are used to test it. The results suggest: (1) the lower thermal threshold for development is raised and the upper threshold is lowered as food resources are decreased (2) the temperature-dependent rate of development is slowed with decreasing energy resources (3) the size of individuals and reproduction become smaller as temperature approaches the upper and lower thermal thresholds.A simple model for multitrophic level interactions incorporating the acquisition and assimilation functions is presente

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