RT Journal Article
SR Electronic
T1 Lattice Effects Observed in Chaotic Dynamics of Experimental Populations
JF Science
JO Science
FD American Association for the Advancement of Science
SP 602
OP 605
DO 10.1126/science.1063358
VO 294
IS 5542
A1 Henson, Shandelle M.
A1 Costantino, R. F.
A1 Cushing, J. M.
A1 Desharnais, Robert A.
A1 Dennis, Brian
A1 King, Aaron A.
YR 2001
UL http://science.sciencemag.org/content/294/5542/602.abstract
AB Animals and many plants are counted in discrete units. The collection of possible values (state space) of population numbers is thus a nonnegative integer lattice. Despite this fact, many mathematical population models assume a continuum of system states. The complex dynamics, such as chaos, often displayed by such continuous-state models have stimulated much ecological research; yet discrete-state models with bounded population size can display only cyclic behavior. Motivated by data from a population experiment, we compared the predictions of discrete-state and continuous-state population models. Neither the discrete- nor continuous-state models completely account for the data. Rather, the observed dynamics are explained by a stochastic blending of the chaotic dynamics predicted by the continuous-state model and the cyclic dynamics predicted by the discrete-state models. We suggest that such lattice effects could be an important component of natural population fluctuations.