Spatial dynamics and critical patch size of annual plant populations

Journal of Theoretical Biology

Volumn 190, Issue 3, 1998, Pages 277-285

  Latore, J ^a   Gould, P ^a   Mortimer, A M ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL PATCH SIZE; DISPERSAL; METAPOPULATION DYNAMICS; PLANT POPULATION; POPULATION GROWTH RATE;

ARTICLE; DISPERSION; PLANT; PLANT SEED; POPULATION DYNAMICS; POPULATION GROWTH; PRIORITY JOURNAL;

EID: 0032492158     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1997.0558     Document Type: Article

References (21)

1. ALLEN, E. J., ALLEN, L. J. S. & GILLIAM, X. (1996). Dispersal and competition models for plants. J. Math. Biol. 34, 455-481.
2. ANDERSEN, M. (1991). Properties of some density-dependent integrodifference equation population models. Math. Biosci. 104, 135-157.
3. HARDIN, D. P., TAKAČ, P. & WEBB, G. F. (1988). Asymptotic properties of a continuous-space discrete-time population model in a random environment. J. Math. Biol. 26, 361-374.
4. HARPER, J. L. (1977). Population Biology of Plants. London Academic Press.
5. HASTINGS, A. & HIGGINS, K. (1994). Perststence of transients in spatially structured ecological models. Science 263, 1133-1136.
6. HENDRY, R. J., MCGLADE, J. M. & WEINER, J. (1996). A coupled map lattice model of the growth of plant monocultures. Ecol. Model. 84, 81-90.
7. HOWARD, C. L., MORTIMER, A. M., GOULD, P. & PUTWAIN, P. D. (1991). The dispersal of weeds: seed movement in arable agriculture. Brighton Crop Protection Conference-Weeds-1991, 821-828.
8. JANZEN, D.H. (1970). Herbivores and the number of tree species in tropical forests. Am. Natural. 104, 501-528.
9. KIERSTEAD, H. & SLOBODKIN, L. (1953). The size of water masses containing plankton bloom. J. Marine Res. 12, 141-147.
10. KOT, M. & SCHAFFER, W. M. (1986). Discrete-time growth-dispersal models. Mathem. Biosci. 80, 109-136.
11. KOT, M. (1989). Diffusion-driven period-doubling bifurcations. BioSystems 22, 279-287.
12. LEVIN, S. A., COHEN, D. & HASTINGS, A. (1984). Dispersal strategies in patchy environments. Theor. Popul. Biol. 26, 165-191.
13. LEVINS, R. (1970). Extinction. In: Some Mathematical Questions in Biology (Cowan, J. D., ed.), pp. 75-107. Providence, RI: American Mathematical Society.
14. LUI, R. (1982). A nonlinear operator arising from a model in population genetics, I. monotone initial data. SIAM J. Math. Anal. 13, 913-937.
15. NEUBERT, M. G., KOT, M. & LEWIS, M. A. (1995). Dispersal and pattern formation in a discrete-time predator-prey model. Theoret. Popul. Biol. 48, 7-43.
16. OPDAM, P. (1990). Dispersal in fragmented populations: the key to survival. In: Species Dispersal in Agricultural Habitats (Bunce, R. G. H. & Howard, D. C., eds), pp. 3-17. Belhaven Press.
17. SILVERTOWN, J., HOLTIER, S., JOHNSON, J. & DALE, P. (1992). Cellular automaton models of interspecific competition for space - the effect of pattern on process. J. Ecol. 80, 527-534.
18. SKELLAM, J. G. (1951). Random dispersal in theoretical populations. Biometrika 38, 196-218.
19. TUZINKEVICH, A. Z. & FRISMAN, Y. (1990). Dissipative structures and patchiness in spatial distribution of plants. Ecol. Model. 52, 207-223.
20. WATKINSON, A. R. (1985). On the abundance of plants along an environmental gradient. J. Ecol. 173, 569-578.
21. WEINBERGER, H. F. (1978). Asymptotic behavior of a model in population genetics. In: Nonlinear Partial Differential Equations and Applications (Chadam, J. M., ed.), pp. 47-96. New York: Springer.