Chaotic dynamics in an insect population

Robert F Costantino, R. A. Desharnais, Jim M Cushing, Brian Dennis

Research output: Contribution to journalArticle

303 Citations (Scopus)

Abstract

A nonlinear demographic model was used to predict the population dynamics of the flour beetle Tribolium under laboratory conditions and to establish the experimental protocol that would reveal chaotic behavior. With the adult mortality rate experimentally set high, the dynamics of animal abundance changed from equilibrium to quasiperiodic cycles to chaos as adult-stage recruitment rates were experimentally manipulated. These transitions in dynamics corresponded to those predicted by the mathematical model. Phase-space graphs of the data together with the deterministic model attractors provide convincing evidence of transitions to chaos.

Original languageEnglish (US)
Pages (from-to)389-391
Number of pages3
JournalScience
Volume275
Issue number5298
DOIs
StatePublished - Jan 17 1997

Fingerprint

insects
tribolia
chaos
beetles
flour
mortality
animals
mathematical models
cycles

ASJC Scopus subject areas

  • General

Cite this

Chaotic dynamics in an insect population. / Costantino, Robert F; Desharnais, R. A.; Cushing, Jim M; Dennis, Brian.

In: Science, Vol. 275, No. 5298, 17.01.1997, p. 389-391.

Research output: Contribution to journalArticle

Costantino, Robert F ; Desharnais, R. A. ; Cushing, Jim M ; Dennis, Brian. / Chaotic dynamics in an insect population. In: Science. 1997 ; Vol. 275, No. 5298. pp. 389-391.
@article{6579aa624dee42a2a5ffb06a5a85afa8,
title = "Chaotic dynamics in an insect population",
abstract = "A nonlinear demographic model was used to predict the population dynamics of the flour beetle Tribolium under laboratory conditions and to establish the experimental protocol that would reveal chaotic behavior. With the adult mortality rate experimentally set high, the dynamics of animal abundance changed from equilibrium to quasiperiodic cycles to chaos as adult-stage recruitment rates were experimentally manipulated. These transitions in dynamics corresponded to those predicted by the mathematical model. Phase-space graphs of the data together with the deterministic model attractors provide convincing evidence of transitions to chaos.",
author = "Costantino, {Robert F} and Desharnais, {R. A.} and Cushing, {Jim M} and Brian Dennis",
year = "1997",
month = "1",
day = "17",
doi = "10.1126/science.275.5298.389",
language = "English (US)",
volume = "275",
pages = "389--391",
journal = "Science",
issn = "0036-8075",
publisher = "American Association for the Advancement of Science",
number = "5298",

}

TY - JOUR

T1 - Chaotic dynamics in an insect population

AU - Costantino, Robert F

AU - Desharnais, R. A.

AU - Cushing, Jim M

AU - Dennis, Brian

PY - 1997/1/17

Y1 - 1997/1/17

N2 - A nonlinear demographic model was used to predict the population dynamics of the flour beetle Tribolium under laboratory conditions and to establish the experimental protocol that would reveal chaotic behavior. With the adult mortality rate experimentally set high, the dynamics of animal abundance changed from equilibrium to quasiperiodic cycles to chaos as adult-stage recruitment rates were experimentally manipulated. These transitions in dynamics corresponded to those predicted by the mathematical model. Phase-space graphs of the data together with the deterministic model attractors provide convincing evidence of transitions to chaos.

AB - A nonlinear demographic model was used to predict the population dynamics of the flour beetle Tribolium under laboratory conditions and to establish the experimental protocol that would reveal chaotic behavior. With the adult mortality rate experimentally set high, the dynamics of animal abundance changed from equilibrium to quasiperiodic cycles to chaos as adult-stage recruitment rates were experimentally manipulated. These transitions in dynamics corresponded to those predicted by the mathematical model. Phase-space graphs of the data together with the deterministic model attractors provide convincing evidence of transitions to chaos.

UR - http://www.scopus.com/inward/record.url?scp=0030620649&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030620649&partnerID=8YFLogxK

U2 - 10.1126/science.275.5298.389

DO - 10.1126/science.275.5298.389

M3 - Article

AN - SCOPUS:0030620649

VL - 275

SP - 389

EP - 391

JO - Science

JF - Science

SN - 0036-8075

IS - 5298

ER -