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 language | English (US) |
|---|---|
| Pages (from-to) | 389-391 |
| Number of pages | 3 |
| Journal | Science |
| Volume | 275 |
| Issue number | 5298 |
| DOIs | |
| State | Published - Jan 17 1997 |
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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 journal › Article
}
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 -