Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T10:05:10.479Z Has data issue: false hasContentIssue false
  • English
  • Français

A spatial stochastic model of inter-plant competition

Published online by Cambridge University Press:  14 July 2016

Peter J. Diggle
Peter J. Diggle*
Affiliation:
University of Newcastle upon Tyne
Get access Rights & Permissions [Opens in a new window]

Abstract

A stochastic model for inter-plant competition in a single-species population is presented, in which the probability that a given plant will be eliminated is defined in terms of the sizes and relative spatial locations of rival plants. The properties of the model are then investigated and illustrations of particular cases given, with particular emphasis on the distribution of the sizes of surviving plants. Empirical comparisons are made between the properties of the model and some experimental results due to Ford (1975b). Some possible extensions to the basic model are suggested.

Keywords

SPATIAL DISTRIBUTIONSSTOCHASTIC MODELSCOMPETITIONECOLOGYLATTICE PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 4 , December 1976 , pp. 662 - 671
Copyright
Copyright © Applied Probability Trust 1976 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bartlett, M. S. (1971) Physical nearest-neighbour models and non-linear time series. J. Appl. Prob. 8, 222–232.CrossRefGoogle Scholar
Besag, J. E. (1974a) Spatial interaction and the statistical analysis of lattice systems (with discussion). J. R. Statist. Soc. B 36, 192–236.Google Scholar
Besag, J. E. (1974b) On spatial-temporal models and Markov fields. Transactions of 1974 European Meeting of Statisticians. (To appear).Google Scholar
Besag, J. E. (1975) Spatial Interaction. Princeton Lecture Notes, Princeton University.Google Scholar
Blackman, V. H. (1919) The compound interest law and plant growth. Ann. Bot. 33, 353–360.Google Scholar
Donald, C. M. (1963) Competition among crop and pasture plants. Adv. Agron. 15, 1–118.CrossRefGoogle Scholar
Ford, E. D. (1975a) Competition, genetic systems and improvement of tree yield. (To appear).Google Scholar
Ford, E. D. (1975b) Competition and stand structure in some even-aged plant monocultures. J. Ecol. 63, 311–333.Google Scholar
Gerrard, D. G. (1969) Competition quotient: a new measure of the competition affecting individual forest trees. Research Bulletin No. 20, Agricultural Experiment Station, Michigan State University.Google Scholar
Harper, J. L. (1961) Approaches to the study of plant competition. In Symposia of the Society of Experimental Biology No. 15, ed. Milthorpe, F. L. Cambridge University Press, 1–39.Google Scholar
Harper, J. L. (1967) A Darwinian approach to plant ecology. J. Ecol. 55, 247–270.Google Scholar
Mead, R. (1967) A mathematical model for the estimation of plant competition. Biometrics 23, 189–205.Google Scholar
Mead, R. (1971) Models for inter-plant competition in irregularly distributed populations. In Statistical Ecology, Vol. 2, ed. Patil, G. P., Pielou, E. C. and Waters, W. E. Pennsylvania State University Press, 13–32.Google Scholar
Milne, A. (1961) Definition of competition among animals. In Symposia of the Society of Experimental Biology No. 15, ed. Milthorpe, F. L., Cambridge University Press, 40–61.Google Scholar
Opie, J. E. (1968) Predictability of individual tree growth using various definitions of competing basal area. For. Sci. 14, 314–323.Google Scholar