TY - JOUR
T1 - Lattice Effects Observed in Chaotic Dynamics of Experimental Populations
JF - Science
JO - Science
SP - 602
LP - 605
DO - 10.1126/science.1063358
VL - 294
IS - 5542
AU - Henson, Shandelle M.
AU - Costantino, R. F.
AU - Cushing, J. M.
AU - Desharnais, Robert A.
AU - Dennis, Brian
AU - King, Aaron A.
Y1 - 2001/10/19
UR - http://science.sciencemag.org/content/294/5542/602.abstract
N2 - 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.
ER -