Abstract
The formulation of ecological genetic models allows specific assumptions about the interaction between an individual and its environment to be translated into evolutionary forces in the population. An approach to this is the analysis of phenotypic characters related to competition coefficients through the use of the niche concept as formulated by Mac- Arthur and Levins (1967; Levins, 1968). This formulation has been used in the analysis of intraspecific competition by Roughgarden (1972), Matessi and Jayakar (1976), and Christiansen and Fenchel (1977; Fenchel and Christiansen, 19 77). The models used in these investigations are classical population genetic models with discrete non-overlapping gene-rations, where the individual fitnesses are considered as functions of the population density (Wright, 1960). Intraspecific competition for a common uniform food supply will allow the influence of competition on the growth rate to be described in terms of the total population size of the species (Volterra, 1927; Lotka, 1932) resulting in pure density dependent selection (Anderson, 19 71; Charlesworth, 19 71; Rough-garden, 1971; Clarke, 1972). On the other hand, intraspecific competition for a more varied supply of resources may make the competition experienced by an individual dependent on the genotypic composition of the population resulting in so-called density and frequency dependent selection.
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References
Anderson, W. W. 1971. Genetic equilibrium and population growth under density-regulated selection. Amer. Natur. 105: 489–498.
Asmussen, M. A., and Feldman, M. W. 1976. Density dependent selection I. A stable feasible equilibrium may not be attainable. J. Theoret. Biol. 64: 603–618.
Bulmer, M. G. 19 74. Density dependent selection and character displacement. Amer. Natur. 108: 45–58.
Charlesworth, B. 1971. Selection in density regulated populations. Ecology 52: 469–474.
Christiansen, F. B., and Fenchel, T. M. L977. Theories of Populations in Biological Communities. Springer Verlag, Berlin.
Christiansen, F. B., and Loeschcke, V. 1980. Evolution and intraspecific exploitative competition I. One locus theory for small additive gene effects. Theoret. Popul. Biol., to appear.
Clarke, B. C. 1972. Density dependent selection. Amer. Natur. 106: 1–13,
Feldman, M. W., Franklin, I. R., and Thomson, G. 1974. Selection in complex genetic systems I. The symmetric equilibria of the three- locus symmetric viability model. Genetics 76: 135–162.
Fenchel, T. 1975. Character displacement and coexistence in mud snails (Hydrobiidae). Oecologia (Berl.) 20: 19–32.
Fenchel, T. M., and Christiansen, F. B. 1977. Selection and interspecific competition. In Measuring Selection in Natural Populations (F. B. Christiansen and T. M. Fenchel, eds.). Lecture Notes in Biomathematics 19, Springer Verlag, Berlin: 477–498.
Fenchel, T., and Kofoed, L. H. 1976. Evidence for exploitative interspecific competition in mud snails (Hydrobiidae). Oikos 27: 367–376.
Franklin. I. R., and Lewontin, R. C. 19 70. Is the gene the unit of selection? Genetics 65: 707–734.
Gause, G. F. 19 34. The Struggle for Existence. Hafner Publ. Co., New York (Reprinted in 1964 ).
Ginzburg, L. R. 1977. The equilibrium and stability for fi alleles under the density-dependent selection. J. Theoret. Biol. 68: 545–550.
Karlin, S., and McGregor, I. 19 72. Polymorphisms for genetic and ecological systems with weak coupling. Theoret. Popul. Biol. 3: 210–2 38.
Levene, H. 196 7. Genetic diversity and diversity of environment: Mathematical aspects. Proc. 5th Berkeley Symp. Math. Stat. Prob.: 305–316.
Levins, R. 1968. Toward an evolutionary theory of the niche. In. Evolution and Environment (E. T. Drake, ed.). Yale Univ. Press, Conn.: 325–340.
Lotka. A. J. 1932. The growth of mixed populations: Two species competing for a common food supply. J. Wash. Acad. Sci. 22: 461–469.
MacArthur, R. M. 19 62. Some generalized theorems of natural selection. Proc. Nat. Acad. Sci. U. S. A. 48: 1893–1897.
MacArthur, R. M. 19 72. Geographical Ecology. Harper and Row, New York.
MacArthur, R. M., and Levins, R. 1964. Competition, habitat selection and character displacement in a patchy environment. Proc. Nat. Acad. Sci. U. S. A. 51: 1207–1210.
MacArthur, R. M., and Levins, R. 1967. The limiting similarity, convergence and divergence of coexisting species. Amer. Natur. 101: 377–385.
Matessi, C. and Jayakar, S. D. 1976. Models of density-frequency dependent selection for the exploitation of resources I: Intraspecific competition. In Population Genetics and Ecology ( S. Karlin and E. Nevo, eds.). Academic Press, New York: 707–721.
May, RM . 1974. On the theory of niche overlap. Theoret. Popul. Biol. 5: 297–332
Poulsen, E. T. 1980. A model for population regulation with density and frequency-dependent selection. J. Math. Biol., in press.
Prout, T. 19 80. Some relationships between density independent selection and density dependent growth. Evolutionary Biology 13, in press.
Roughgarden, J. 1971. Density-dependent natural selection. Ecology 52: 45 3–468.
Roughgarden, J. 19 72. Evolution of niche width. Amer. Natur. 106: 683–718.
Roughgarden, J. 1974. Species packing and the competition function with illustrations from coral reef fish. Theoret. Popul. Biol. 5: 163–186.
Roughgarden, J. 19 76. Resource partitioning among competing species - A coevolutionary approach. Theoret. Popul. Biol. 9: 388–424.
Schoener, T., and Gorman, G. 196 8. Some niche differences in three Lesser Antillean lizards of the genus Anolis. Ecology 49: 819–830.
Singh, M., and Lewontin, R. C. 1966. Stable equilibria under optimizing selection. Proc. Nat. Acad. Sci. U. S. A. 56: 1345–1348.
Slatkin, M. 19 79. Ecological character displacement. Ecology, in press.
Volterra, V. 192 7. Variazioni e fluttuazioni del numero dTindividui in specie animali conviventi. R. Comitato Talassografico Italiano, Memoria 131: 1–142 (English translation in F. M. Scudo and J. R. Ziegler: The Golden Age of Theoretical Ecology: 1923–1940. Lecture Notes in Biomathematics 22, Springer Verlag, Berlin 1979 )
Wright, S. 1935. The analysis of variance and the correlations between relatives with respect to deviations from an optimum. J. Genet. 30: 243–256.
Wright, S. 1959. Physiological genetics, ecology of populations and natural selection. Prespectives in Biology and Medicine 3: 107–151.
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Christiansen, F.B., Loeschcke, V. (1980). Intraspecific Competition and Evolution. In: Barigozzi, C. (eds) Vito Volterra Symposium on Mathematical Models in Biology. Lecture Notes in Biomathematics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93161-1_9
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DOI: https://doi.org/10.1007/978-3-642-93161-1_9
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