Consistency and fluctuation theorems for discrete time structured population models having demographic stochasticity

Joseph C. Watkins

doi:10.1007/s002850000041

Consistency and fluctuation theorems for discrete time structured population models having demographic stochasticity

Joseph C. Watkins

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper we prove a consistency theorem (law of large numbers) and a fluctuation theorem (central limit theorem) for structured population processes. The basic assumptions for these theorems are that the individuals have no statistically distinguishing features beyond their class and that the interaction between any two individuals is not too high. We apply these results to density dependent models of Leslie type and to a model for flour beetle dynamics.

Original language	English (US)
Pages (from-to)	253-271
Number of pages	19
Journal	Journal of mathematical biology
Volume	41
Issue number	3
DOIs	https://doi.org/10.1007/s002850000041
State	Published - Sep 2000

Keywords

Central limit theorem
Conditional exchangeability
Demographic stochasticity
Law of large numbers
Structured population models

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/s002850000041

Cite this

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abstract = "In this paper we prove a consistency theorem (law of large numbers) and a fluctuation theorem (central limit theorem) for structured population processes. The basic assumptions for these theorems are that the individuals have no statistically distinguishing features beyond their class and that the interaction between any two individuals is not too high. We apply these results to density dependent models of Leslie type and to a model for flour beetle dynamics.",

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AB - In this paper we prove a consistency theorem (law of large numbers) and a fluctuation theorem (central limit theorem) for structured population processes. The basic assumptions for these theorems are that the individuals have no statistically distinguishing features beyond their class and that the interaction between any two individuals is not too high. We apply these results to density dependent models of Leslie type and to a model for flour beetle dynamics.

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KW - Conditional exchangeability

KW - Demographic stochasticity

KW - Law of large numbers

KW - Structured population models

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ER -

Consistency and fluctuation theorems for discrete time structured population models having demographic stochasticity

Abstract

Keywords

ASJC Scopus subject areas

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