@article {Henson602,
author = {Henson, Shandelle M. and Costantino, R. F. and Cushing, J. M. and Desharnais, Robert A. and Dennis, Brian and King, Aaron A.},
title = {Lattice Effects Observed in Chaotic Dynamics of Experimental Populations},
volume = {294},
number = {5542},
pages = {602--605},
year = {2001},
doi = {10.1126/science.1063358},
publisher = {American Association for the Advancement of Science},
abstract = {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.},
issn = {0036-8075},
URL = {https://science.sciencemag.org/content/294/5542/602},
eprint = {https://science.sciencemag.org/content/294/5542/602.full.pdf},
journal = {Science}
}