Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-16T12:45:42.671Z Has data issue: false hasContentIssue false

A note on a population model for breeding colonies

Published online by Cambridge University Press:  02 September 2010

H. Kushner
Affiliation:
Division of Biometrics and Computing, Department of Physiology and Biophysics, Hahnemann University, Philadelphia, Pennsylvania 19102, USA
E. T. Angelakos
Affiliation:
Division of Biometrics and Computing, Department of Physiology and Biophysics, Hahnemann University, Philadelphia, Pennsylvania 19102, USA
Get access

Abstract

A discrete-time population model is presented which is specific to the characteristics of a breeding colony. It is intended to be a rigorous yet an easily applied model. The model is based on a female-dominated demographic system with constraints on colony size. Fecundity and survival probabilities are incorporated into a net reproductive rate which is age-specific and time and population size invariant. The model is applied to solve an optimization problem for a breeding colony of African Green monkeys and to examine a set of external constraints imposed on the colony.

Type
Research Article
Copyright
Copyright © British Society of Animal Science 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Caughley, G. 1967. Parameters for seasonally breeding populations. Ecology 48: 834839.Google Scholar
Kushner, H., Kraft-Schreyer, N. and Angelakos, E. T. 1982. Analysis of reproductive data in a breeding colony of African Green monkeys. J. Med. Primatol. 11: 7784.CrossRefGoogle Scholar
Leslie, P. H. 1945. On the use of matrices in certain population mathematics. Biometrika 35: 183212.CrossRefGoogle Scholar
Murdie, G. 1976. Population models. In Mathematical Modelling (ed. Andrews, J. G. and McLone, R. R.), pp. 98113. Butterworth, London.Google Scholar
Rorres, C. and Anton, H. 1979. Applications of Linear Algebra. 2nd ed. Wiley, New York.Google Scholar
Rothenberg, R. 1979. Linear Programming. Chapter 4. North Holland, Oxford.Google Scholar
Samuelson, P. A. 1977. Generalizing Fisher's “reproductive value”: linear differential and difference equations of “dilute” bilogical systems. Proc. natl. Acad. Sci. U.S.A. 74: 51895192.Google Scholar