Survival and production in variable resource environments

A dynamic energy budget (DEB) model describes the rates at which organisms assimilate and utilize energy from food for maintenance, growth, reproduction and development. We study the dynamic behavior of one particular DEB model, Kooijman’s κ rule model, whose key assumption is that somatic and reproductive tissues are competing for energy. We assume an environment in which the food density fluctuates either periodically or stochastically (pink noise). Both types of fluctuations stimulate growth; the magnitude of the (average) increase in size depends on both the strength and duration of the fluctuations. In a stochastic environment, the risk of mortality due to starvation increases with increasing fluctuation intensity. The mean lifespan is also a function of the model parameter κ characterizing the partitioning of energy between somatic and reproductive tissues. Organisms committing a large fraction of resources to reproduction endure periods of food shortage relatively well. The effects of food fluctuations on reproduction are complex. With stochastic food, reproduction in survivors increases with increasing fluctuation intensities, but lifetime reproduction decreases. Periodic fluctuations may enhance reproduction, depending on the value of κ. Thus, a variable food supply stimulates growth, increases mortality and may enhance reproduction, depending on life history.

[1]  Sebastiaan A.L.M. Kooijman,et al.  Dynamic Energy and Mass Budgets in Biological Systems , 2000 .

[2]  William D. Taylor,et al.  Growth Model of Daphnia , 1982 .

[3]  Sebastiaan A.L.M. Kooijman,et al.  Existence and Stability of Microbial Prey-Predator Systems , 1994 .

[4]  Shripad Tuljapurkar,et al.  Structured-Population Models in Marine, Terrestrial, and Freshwater Systems , 1997, Population and Community Biology Series.

[5]  O. Diekmann,et al.  The Dynamics of Physiologically Structured Populations , 1986 .

[6]  S. Kooijman,et al.  Application of a Dynamic Energy Budget Model to Lymnaea stagnalis (L.) , 1989 .

[7]  Sebastiaan A.L.M. Kooijman,et al.  Application of a dynamic energy budget model to Mytilus edulis (L.) , 1993 .

[8]  E. Duclaux TRAIDÉ DE MICROBIOLOGIE , 1899 .

[9]  L. von Bertalanffy Quantitative Laws in Metabolism and Growth , 1957, The Quarterly Review of Biology.

[10]  W. Gurney,et al.  THE PHYSIOLOGICAL ECOLOGY OF DAPHNIA: DEVELOPMENT OF A MODEL OF GROWTH AND REPRODUCTION' , 1990 .

[11]  Sebastiaan A.L.M. Kooijman,et al.  Some statistical properties of estimates of no-effect concentrations , 1996 .

[12]  Sebastiaan A.L.M. Kooijman,et al.  Population consequences of a physiological model for individuals , 1989 .

[13]  R M Nisbet,et al.  A Dynamic Energy Budget model based on partitioning of net production , 2000, Journal of mathematical biology.

[14]  R. Nisbet,et al.  Dynamic Models of Growth and Reproduction of the Mussel Mytilus edulis L. , 1990 .

[15]  André M. de Roos,et al.  A Gentle Introduction to Physiologically Structured Population Models , 1997 .

[16]  Sebastiaan A.L.M. Kooijman,et al.  Analysis of toxicity tests on Daphnia survival and reproduction , 1996 .

[17]  M. Mangel Computing expected reproductive success of female Atlantic salmon as a function of smolt size , 1996 .

[18]  L. Bertalanffy Quantitative Laws in Metabolism and Growth , 1957 .

[19]  W. Gurney,et al.  Modelling fluctuating populations , 1982 .

[20]  Kooijman,et al.  The application of mass and energy conservation laws in physiologically structured population models of heterotrophic organisms , 1999, Journal of theoretical biology.

[21]  D. J. Stewart,et al.  Applications of a Bioenergetics Model to Yellow Perch (Perca flavescens) and Walleye (Stizostedion vitreum vitreum) , 1977 .

[22]  Sebastiaan A.L.M. Kooijman,et al.  How light and nutrients affect life in a closed bottle. , 2000 .