Lattice population dynamics for plants with dispersing seeds and Vegetative propagation

Yuko Harada; Yoh Iwasa

doi:10.1007/bf02514940

journal article Dec 01, 1994

Lattice population dynamics for plants with dispersing seeds and Vegetative propagation

Yuko Harada Yoh Iwasa

Population Ecology Vol. 36 No. 2 pp. 237-249 · Wiley

View at Publisher Save 10.1007/bf02514940

Abstract

AbstractThe population dynamics of plants in a lattice structured habitat are studied theoretically. Plants are assumed to propagate both by producing seeds that scatter over the population and by vegetative reproduction by extending runners, rhizomes, or roots, to neighboring vacant sites. In addtion, the seed production rate may be dependent on the local density in the neighborhood, indicating beneficial or harmful crowding effects. Two sets of population dynamical equation(s) are derived: one based on mean‐field approximation and the other based on pair approximation (tracing both global and local densities simultaneously). We examine the accuracy of these approximate dynamics by comparing them with direct computer simulation of the stochastic lattice model. Pair approximation is much more accurate than mean‐field approximation. Mean‐field approximation overestimates the parameter range for persistence if crowding effects on seed production are harmful or weakly beneficial, but underestimates it if crowding effects are highly beneficial. Dynamics may show bistability (both population persistence and extinction) if the effect of crowding is strongly beneficial. If there is a linear trade‐off between seed production and vegetative reproduction, the equilibrium abundance of the population may be maximised by a mixture of seed production and vegetative reproduction, rather than by pure seed production or by pure vegetative reproduction. This result is correctly predicted by pair approximation but not by mean‐field approximation.

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Details

Published: Dec 01, 1994
Vol/Issue: 36(2)
Pages: 237-249
License: View

Authors

Y

Yuko Harada

Department of Biology, Faculty of Science Kyushu University 812 Fukuoka Japan

Y

Yoh Iwasa

Department of Biology, Faculty of Science Kyushu University 812 Fukuoka Japan

Cite This Article

Yuko Harada, Yoh Iwasa (1994). Lattice population dynamics for plants with dispersing seeds and Vegetative propagation. Population Ecology, 36(2), 237-249. https://doi.org/10.1007/bf02514940

Lattice population dynamics for plants with dispersing seeds and Vegetative propagation

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