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Fine-scale distributions of tropical animal mounds: a revised statistical analysis

Published online by Cambridge University Press:  10 July 2009

Martin Fisher
Affiliation:
Department of Biology, Sultan Qaboos University, PO Box 32486 Al-Khod, Muscat, Sultanate of Oman

Abstract

Descriptions of the fine scale distribution of organisms have frequently been used to investigate various ecological phenomena. Unfortunately, the most widely used spatial analysis techniques are based on single index statistics, which convey only minimal information about the biological processes underlying the studied distributions. Such statistics cannot detect changes in pattern over different scales, and cannot identify some types of distribution. Additionally, both the use of such statistics on the distribution of individuals which have a non-negligible size, and the frequent failure to use an edge correction for points close to the boundaries of a sampled area, have led to the over-reporting of ‘spaced out’ (‘regular’) distributions. Using two spatial distributions recently analysed with a single index statistic (termite mounds, and earthmounds created by termites), I illustrate the benefits gained from using the spatial functions K(t), G(y) and F(x) to analyse both ‘point events’ and events which have a non-negligible size. These functions are considerably more informative about the nature of a spatial pattern and offer wide scope for the fitting of spatial models to biological distributions.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1993

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References

LITERATURE CITED

Andersen, M. 1992. Spatial analysis of 2-species interactions. Oecologia 91:134140.CrossRefGoogle Scholar
Anderson, D. J. 1971. Pattern in desert perennials. Journal of Ecology 59:555560.CrossRefGoogle Scholar
Clark, P. J. & Evans, F. C. 1954. Distance to nearest neighbor as a measure of spatial relationships in populations. Ecology 35:445453.CrossRefGoogle Scholar
Cushman, J. H., Martinsen, G. D. & Mazeroll, A. I. 1988. Density-and size-dependent spacing of ant nests: evidence for intraspecific competition. Oecologia (Berlin) 77:522525.Google Scholar
Diggle, P. J. 1979. Statistical methods for spatial point patterns in ecology. Pp. 95150 in Patil, G. P. (ed.). Spatial and temporal analysis in ecology. International Co-operative Publishing House, Maryland. 356 pp.Google Scholar
Diggle, P. J. 1981. Binary mosaics and the spatial pattern of heather. Biometrics 37:531539.CrossRefGoogle Scholar
Diggle, P. J. 1983. Statistical analysis of spatial point patterns. Academic Press, London. 148 pp.Google Scholar
Donnelly, K. 1978. Simulations to determine the variance and edge-effect of total nearest neighbour distance. Pp. 9195 in Hodder, I. (ed.). Simulation methods in archaeology. Cambridge University Press, Cambridge. 365 pp.Google Scholar
Fisher, M. 1990. Algorithms for the computation of spatial statistics. Computers in biology and medicine 20:311317.CrossRefGoogle ScholarPubMed
Fowler, N. L. 1986. The role of competition in plant communities in arid and semiarid regions. Annual Review of Ecology and Systematics 17:89110.CrossRefGoogle Scholar
Gontijo, T. A. & Domingos, D. J. 1991. Guild distribution of some termites from Cerrado vegetation in south-east Brazil. Journal of Tropical Ecology 7:523529.CrossRefGoogle Scholar
Greig-Smith, P. 1983. Quantitative plant ecology. Blackwell, Oxford. 359 pp.Google Scholar
Harkness, R. D. & Isham, V. 1983. A bivariate spatial point pattern of ants' nests. Applied Statistics 32:293303.CrossRefGoogle Scholar
Hatton, T. J. 1989. Spatial patterning of sweet briar (Rosa rubiginosa) by two vertebrate species. Australian Journal of Ecology 14:199205.CrossRefGoogle Scholar
José, J. J. S., Farinas, M. R. & Rosales, J. 1991. Spatial patterns of trees and structuring factors in a Trachypogon savanna of the Orinoco Llanos. Biotropica 23:114123.CrossRefGoogle Scholar
McClure, M. S. 1976. Spatial distribution of pit-making ant lion larvae (Neuroptera: Myrmeleonidae): density effects. Biotropica 8:179183.CrossRefGoogle Scholar
Oliveira-Filho, A. T. de. 1992. Floodplain ‘murundus’ of Central Brazil: evidence for the termite-origin hypothesis. Journal of Tropical Ecology 8:119.CrossRefGoogle Scholar
Ripley, B. D. 1976. The second-order analysis of stationary point processes. Journal of Applied Probability 13:255266.CrossRefGoogle Scholar
Ripley, B. D. 1977. Modelling spatial patterns. Journal of the Royal Statistical Society B 39:172212.Google Scholar
Ripley, B. D. 1979a. Simulating spatial patterns: dependent samples from a multivariate density. Applied Statistics 28:109112.CrossRefGoogle Scholar
Ripley, B. D. 1979b. Tests of ‘randomness’ for spatial point patterns. Journal of the Royal Statistical Society B 41:368374.Google Scholar
Ripley, B. D. 1981. Spatial statistics. Wiley, New York. 252 pp.CrossRefGoogle Scholar
Ripley, B. D. 1987. Spatial point pattern analysis in ecology. Pp. 407429 in Legendre, P. & Legendre, L. (eds). Developments in numerical ecology. Springer-Verlag, Berlin. 585 pp.CrossRefGoogle Scholar
Ryti, R. T. & Case, T. J. 1984. Spatial arrangement and diet overlap between colonies of desert ants. Oecologia (Berlin) 62:401404.CrossRefGoogle ScholarPubMed
Ryti, R. T. & Case, T. J. 1986. Overdispersion of ant colonies: a test of hypotheses. Oecologia (Berlin) 69:446453.CrossRefGoogle ScholarPubMed
Ryti, T. R. & Case, T. J. 1988. Field experiments on desert ants: testing for competition between colonies. Ecology 69:19932003.CrossRefGoogle Scholar
Simberloff, D. 1979. Nearest neighbor assessments of spatial configurations of circles rather than points. Ecology 60:679685.Google Scholar
Spain, A. V., Sinclair, D. F. & Diggle, P. J. 1986. Spatial distributions of the mounds of harvester and forager termites (Isoptera: Termitidae) at four locations in tropical North-Eastern Australia. Acta Oecologia 7:335352.Google Scholar
Sterner, R. W., Ribic, C. A. & Schatz, G. E. 1986. Testing for life historical changes in spatial patterns of four tropical tree species. Journal of Ecology 74:621633.CrossRefGoogle Scholar
Upton, G. J. G. & Fingleton, B. 1985. Spatial data analysis by example. Volume 1, Point pattern and quantitative data. Wiley, New York. 410 pp.Google Scholar