Population dynamic models generating the lognormal species abundance distribution

Mathematical Biosciences

Volumn 132, Issue 2, 1996, Pages 169-183

  Engen, Steinar ^a   Lande, Russell ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIFFUSION; ENVIRONMENT; POPULATION MODEL; SPECIES; SPECIES DIFFERENTIATION; STOCHASTIC MODEL;

ABUNDANCE; POISSON DISTRIBUTION; POPULATION MODEL; SPECIES ABUNDANCE MODEL;

EID: 0029662491     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(95)00054-2     Document Type: Article

References (22)

1. R. A. Fisher, A. S. Corbet, and C. B. Williams, The relation between the number of species and the number of individuals in a random sample from an animal population, J. Anim. Ecol. 12:42-58 (1943).
2. F. W. Preston, The commonness and rarity of species, Ecology 29:254-283 (1948).
3. R. M. Grundy, The expected frequencies in a sample of an animal population in which the abundances are lognormally distributed, Biometrika 38:427-434 (1951).
4. M. G. Bulmer, On fitting the Poisson lognormal distribution to species abundance data, Biometrics 30:651-660 (1974).
5. R. H. MacArthur, On the relative abundance of bird species, Proc. Natl. Acad. Sci. USA 43:293-295 (1957).
6. J. E. Cohen, Alternative derivation of a species abundance relation. Am. Nat. 102:165-171 (1968).
7. S. Engen, On species frequency models, Biometrika 61:263-270 (1974).
8. S. Engen, Stochastic Abundance Models, Chapman & Hall, London, 1978.
9. R. H. MacArthur, On the relative abundance of species, Am. Nat. 94:25-36 (1960).
10. R. M. May, Patterns of species abundance and diversity, in Ecology and Evolution of Communities, M. L. Cody and J. M. Diamond, Eds., Harvard Univ. Press, Cambridge, MA, 1975, pp. 81-120.
11. E. C. Pielou, Ecological Diversity, Wiley, New York, 1975.
12. G. Sugihara, Minimal community structure: an explanation of species abundance patterns, Am. Nat. 116:770-787 (1980).
13. H. Caswell, Community structure: a neutral model analysis, Ecol. Monogr. 46:327-354 (1976).
14. M. Kimura and J. F. Crow, The number of alleles that can be maintained in a finite population, Genetics 49:725-738 (1964).
15. W. J. Ewens, Mathematical Population Genetics, Springer-Verlag, New York, 1979.
16. S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, Academic, New York, 1981.
17. M. Turelli, Random environment and stochastic calculus, Theor. Pop. Biol. 12:140-178 (1977).
18. S. S. Shapiro and M. B. Wilk, An analysis of variance test for normality (complete samples), Biometrika 52:591-611 (1965).
19. E. H. Simpson, Measurement of diversity, Nature 163:688 (1949).
20. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication, Univ. Illinois Press, Urbana, IL, 1963.
21. R. A. Kempton, A generalized form of Fisher's logarithmic series, Biometrika 62:29-38 (1975).
22. F. J. Anscombe, Sampling theory for the negative binomial and the logarithmic series distribution, Biometrika 37:651-660 (1950).