Stochastic Differential Equations As Insect Population Models

摘要: Stochastic differential equations are a potentially important class of models for describing insect population dynamics. Their advantages include ease use, relative tractability, understanding, and the potential approximating many types stochastic variation affecting populations. This paper is an exposition quantitative ecologists on parameter estimation one-dimensional equations. versions exponential growth model logistic developed in detail as examples. Topics discussed transition distributions moments, stationary distributions, maximum likelihood estimates, conditional least squares quasi-likelihood jackknifing, multiple stable unstable equilbria, deterministic chaos.