Abstract
In this chapter we give a survey of the modeling methodology for physiologically structured populations developed in Metz and Diekmann (1986) with a stress on simple techniques and applications. The main application considered is a size-(and age-) structured model for Daphnia population dynamics based on the ideas in Kooijman and Metz (1984). Although admittedly considerably simplified, this model appears to be able to generate all three types of observed Daphnia population behavior distinguished by Murdoch and McCauley (1985), a feat not (yet) reproduced by any of its competitors.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beverton RJH, Holt SJ (1957) The dynamics of exploited fish populations. H M Stn Off, London.
De Roos AM (1988) Numerical methods for structured population models, the escalator boxcar train. Num Meth Part Diff Equ 4(3):173–195.
Diekmann O, Metz JAJ, Kooijman SALM, Heijmans HJAM (1974) Continuum population dynamics with an application to Daphnia magna. Nieuw Arch Wisk (4) 2:82–109.
Heijmans HJAM, Metz JAJ (1986) Small parameters in structured population models and the Trotter-Kato theorem. REP AM-R 8603, Cent Math Comput Sci, Amsterdam.
Kooijman SALM (1986a) Population dynamics on basis of budgets. In: Metz JAJ, Diekmann O (eds) The dynamics of physiologically structured populations. Springer, Berlin Heidelberg New York, pp 266–297 (Springer lecture notes in biomathematics, vol 68).
Kooijman SALM (1986b) Energy budgets can explain body size relations. J Theor Biol 121:269–282.
Kooijman SALM (1986c) What the hen can tell about her eggs: egg development on the basis of energy budgets. J Math Biol 23:163–185.
Kooijman SALM (1988) The Von Bertalanffy growth rate as a function of physiological parameters: a comparative analysis. In: Hallam TG, Gross LJ, Levin SA (eds) Mathematical ecology, World Sci, pp 3–45.
Kooijman SALM, Metz JAJ (1984) On the dynamics of chemically stressed populations: the deduction of population consequences from effects on individuals. Ecotox Environ Saf 8:254–274.
Kooijman SALM, van der Hoeven N, van der Werf DC (in press) Population consequences of a physiological model for individuals. Func Ecol.
Lynch M (in press) The life history consequences of resource depression. Ecology.
McCauley E, Murdoch WW (1987) Cyclic and stable populations: plancton as a paradigm. Am Nat 129:97–121.
Metz JAJ, Diekmann O (eds) (1986) The dynamics of physiologically structured populations. Springer, Berlin Heidelberg New York (Springer lecture notes in biomathematics, vol 68).
Murdoch WW, McCauley E (1985) Three distinct types of dynamic behaviour shown by a single planetonic system. Nature (London) 316:628–630.
Nisbet RM, Gurney WSC (1984) “Stage-structure” models of uniform larval competition. In: Levin SA, Hallam TG (eds) Mathematical ecology, Proceedings Trieste 1982. Springer, Berlin Heidelberg New York, pp 97–113 (Springer lecture notes in biomathematics, vol 54).
Pratt DM (1943) Analysis of population development of Daphnia at different temperatures. Biol Bull 85:116–140.
Sinko JW, Streifer W (1969) Applying models incorporating age-size structure of a population to Daphnia. Ecology 50:608–615.
Thieme HR (1988) Well-posedness of physiologically structured population models for Daphnia magna. J Math Biol 26:299–317.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Metz, J.A.J., de Roos, A.M., van den Bosch, F. (1988). Population Models Incorporating Physiological Structure: A Quick Survey of the Basic Concepts and an Application to Size-Structured Population Dynamics in Waterfleas. In: Ebenman, B., Persson, L. (eds) Size-Structured Populations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74001-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-74001-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-74003-9
Online ISBN: 978-3-642-74001-5
eBook Packages: Springer Book Archive