An evaluation of linear models of population fluctuations

R.M. Nisbet, William Gurney, M.A. Pettipher

Research output: Contribution to journalArticle

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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.
LanguageEnglish
Pages143-160
Number of pages18
JournalJournal of Theoretical Biology
Volume68
Issue number1
DOIs
Publication statusPublished - 7 Sep 1977

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Linear Models
Linear Model
linear models
Fluctuations
Stochasticity
Evaluation
Population Model
Mean Value
Population
Nonlinear Model
Stochastic Model
Nonlinear Dynamics
Deviation
nonlinear models
Robustness
Numerical Results
demographic statistics
Demography
Range of data
Demonstrate

Keywords

  • environmental stochasticity
  • fluctuating populations
  • analysing fluctuations

Cite this

Nisbet, R.M. ; Gurney, William ; Pettipher, M.A. / An evaluation of linear models of population fluctuations. In: Journal of Theoretical Biology. 1977 ; Vol. 68, No. 1. pp. 143-160.
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An evaluation of linear models of population fluctuations. / Nisbet, R.M.; Gurney, William; Pettipher, M.A.

In: Journal of Theoretical Biology, Vol. 68, No. 1, 07.09.1977, p. 143-160.

Research output: Contribution to journalArticle

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