%0 Journal Article
%A Henson, Shandelle M.
%A Costantino, R. F.
%A Cushing, J. M.
%A Desharnais, Robert A.
%A Dennis, Brian
%A King, Aaron A.
%T Lattice Effects Observed in Chaotic Dynamics of Experimental Populations
%D 2001
%R 10.1126/science.1063358
%J Science
%P 602-605
%V 294
%N 5542
%X 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.
%U https://science.sciencemag.org/content/sci/294/5542/602.full.pdf