Explaining and Predicting Patterns in Stochastic Population Systems

Shandelle M. Henson; Aaron A. King; R. F. Costantino; J. M. Cushing; Brian Dennis; Robert A. Desharnais

doi:10.1098/rspb.2003.2420

Explaining and Predicting Patterns in Stochastic Population Systems

Shandelle M. Henson
, Aaron A. King
, R. F. Costantino
, J. M. Cushing
, Brian Dennis
, Robert A. Desharnais

Department of Mathematics

The University of Tennessee, Knoxville
The University of Arizona
University of Idaho
California State University, Los Angeles

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

Abstract

Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.

Original language	American English
Pages (from-to)	1549-1553
Journal	Proceedings of the Royal Society B: Biological Sciences
Volume	270
DOIs	https://doi.org/10.1098/rspb.2003.2420
State	Published - Aug 7 2003

Keywords

Chaos
Deterministic skeleton
Lattice effects
Population dynamics
Stochasticity

Disciplines

Mathematics

Access to Document

10.1098/rspb.2003.2420License: Unspecified

Cite this

@article{fa83e8169193472bb4c89513fe13c202,

title = "Explaining and Predicting Patterns in Stochastic Population Systems",

abstract = "Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.",

keywords = "Chaos, Deterministic skeleton, Lattice effects, Population dynamics, Stochasticity",

author = "Henson, \{Shandelle M.\} and King, \{Aaron A.\} and Costantino, \{R. F.\} and Cushing, \{J. M.\} and Brian Dennis and Desharnais, \{Robert A.\}",

year = "2003",

month = aug,

day = "7",

doi = "10.1098/rspb.2003.2420",

language = "American English",

volume = "270",

pages = "1549--1553",

journal = "Proceedings of the Royal Society B: Biological Sciences",

}

TY - JOUR

T1 - Explaining and Predicting Patterns in Stochastic Population Systems

AU - Henson, Shandelle M.

AU - King, Aaron A.

AU - Costantino, R. F.

AU - Cushing, J. M.

AU - Dennis, Brian

AU - Desharnais, Robert A.

PY - 2003/8/7

Y1 - 2003/8/7

N2 - Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.

AB - Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.

KW - Chaos

KW - Deterministic skeleton

KW - Lattice effects

KW - Population dynamics

KW - Stochasticity

UR - https://digitalcommons.andrews.edu/pubs/2224

U2 - 10.1098/rspb.2003.2420

DO - 10.1098/rspb.2003.2420

M3 - Article

VL - 270

SP - 1549

EP - 1553

JO - Proceedings of the Royal Society B: Biological Sciences

JF - Proceedings of the Royal Society B: Biological Sciences

ER -

Explaining and Predicting Patterns in Stochastic Population Systems

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this