An evaluation of linear models of population fluctuations

Nisbet, R.M. and Gurney, William and Pettipher, M.A. (1977) An evaluation of linear models of population fluctuations. Journal of Theoretical Biology, 68 (1). pp. 143-160. ISSN 0022-5193 (https://doi.org/10.1016/0022-5193(77)90233-8)

Abstract

The analysis of non-linear stochastic population models is notoriously difficult and there is little or no data against which they may be tested. It is therefore important to investigate the range of validity of models of fluctuating populations which are linear in the deviation of the population from its mean value. In this paper we demonstrate the robustness of some well-known, linear methods of analysing fluctuations, the power of the methods being evaluated by comparison with numerical results for some non-linear models involving demographic or environmental stochasticity.

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  Item type:	Article
  ID code:	41605
  Dates:	Date Event 7 September 1977 Published
  Keywords:	environmental stochasticity, fluctuating populations, analysing fluctuations, Probabilities. Mathematical statistics, Agricultural and Biological Sciences(all), Biochemistry, Genetics and Molecular Biology(all), Modelling and Simulation, Applied Mathematics, Statistics and Probability, Immunology and Microbiology(all), Medicine(all)
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	19 Oct 2012 17:59
  Last modified:	16 Sep 2023 07:55
  URI:	https://strathprints.strath.ac.uk/id/eprint/41605