Models of the influence of predation on aspect diversity in prey populations. (English) Zbl 0504.92024
References:
| [1] | Allen, J. A., Clarke, B.: Evidence for apostatic selection by wild passerines. Nature 220, 501-502 (1968) · doi:10.1038/220501a0 |
| [2] | Bossert, W. H.: Simulation of character displacement. Unpublished Ph.D. Thesis, Harvard University, Cambridge, Massachusetts (1963) |
| [3] | Cain, A. J., Sheppard, P. M.: Selection in the polymorphic land snail Cepaea nemoralis. Heredity 4, 275-294 (1950) · doi:10.1038/hdy.1950.22 |
| [4] | Cain, A. J., Sheppard, P. M.: Natural selection in Cepaea. Genetics 39, 89-116 (1954) |
| [5] | Clarke, B.: Balanced polymorphism and the divergence of sympatric species. In: Taxonomy and geography (Nichols, D., ed.). Oxford: Systematics Association 1962 |
| [6] | Clarke, B.: The evidence for apostatic selection. Heredity 24, 347-352 (1969) · doi:10.1038/hdy.1969.52 |
| [7] | Curio, E.: The ethology of predation. Berlin: Springer 1976 |
| [8] | Endler, J. A.: A predator’s view of animal color patterns. Evol. Biol. 11, 319-364 (1978) |
| [9] | Endler, J. A.: Natural selection on color patterns in Poecilia reticulata. Evolution 34, 76-91 (1980) · doi:10.2307/2408316 |
| [10] | Hassell, M., Lawton, J., Beddington, J.: Sigmoid functional responses in invertebrate predators and parasitoids. J. Anim. Ecol. 46, 249 (1977) · doi:10.2307/3959 |
| [11] | Holling, C. S.: Some characteristics of simple types of predation and parasitism. Canad. Entomol. 91, 385-398 (1959) · doi:10.4039/Ent91385-7 |
| [12] | Karlin, S.: Models of multifactorial inheritance: I. Multivariate formulations and basic convergence results. Theoret. Population Biology 15, 308-355 (1979a) · Zbl 0435.92013 · doi:10.1016/0040-5809(79)90044-3 |
| [13] | Karlin, S.: Models of multifactorial inheritance: II. The covariance structure for a scalar phenotype under selective assortative mating and sex-dependent symmetric parental transmission. Theoret. Population Biology 15, 356-393 (1979b) · Zbl 0435.92014 · doi:10.1016/0040-5809(79)90045-5 |
| [14] | Karlin, S.: Models of multifactorial inheritance: III. Calculation of covariance of relatives under selective assortative mating. Theoret. Population Biology 15, 394-423 (1979c) · Zbl 0435.92015 · doi:10.1016/0040-5809(79)90046-7 |
| [15] | Karlin, S.: Models of multifactorial inheritance: IV. Asymmetric transmission for a scalar phenotype. Theoret. Population Biology 15, 424-438 (1979d) · Zbl 0435.92016 · doi:10.1016/0040-5809(79)90047-9 |
| [16] | Karlin, S., McGregor, J. L.: Polymorphisms for genetic and ecological systems with weak coupling. Theoret. Population Biology 3, 210-238 (1972) · Zbl 0262.92007 · doi:10.1016/0040-5809(72)90027-5 |
| [17] | Kimura, M.: A stochastic model concerning the maintenance of genetic variability in quantitative characters. Proc. Nat. Acad. Sci. USA 54, 731-736 (1965) · Zbl 0137.14404 · doi:10.1073/pnas.54.3.731 |
| [18] | Krebs, J. R., Ryan, J. C., Charnov, E. L.: Hunting by expectation or optimal foraging? A study of patch use by chickadees. Anim. Behav. 22, 953-964 (1974) · doi:10.1016/0003-3472(74)90018-9 |
| [19] | Lawton, J. H., Beddington, J., Bonser, R.: Switching in invertebrate predators. In: Ecological stability (Usher, M. B., Williamson, M. H., eds.). London: Chapman and Hall 1974 |
| [20] | Lerner, I. M.: Genetic homeostasis. London: Oliver and Boyd 1954 |
| [21] | Levin, S. A.: Dispersion and population interactions. Am. Nat. 108, 207-228 (1974) · doi:10.1086/282900 |
| [22] | Levin, S. A.: Mechanisms for the generation and maintenance of diversity in ecological communities. In: The mathematical theory of the dynamics of biological populations II (Hiorns, R. W., Cooke, D., eds.), pp. 173-196. Oxford: Academic Press 1981 |
| [23] | Levins, R.: Theory of fitness in a heterogeneous environment III. The response to selection. J. Theoret. Biol. 1, 224-240 (1964) · doi:10.1016/0022-5193(64)90071-2 |
| [24] | Levins, R.: Theory of fitness in a heterogeneous environment V. Optimal genetic systems. Genetics 52, 891-904 (1965) |
| [25] | Levins, R.: Evolution in changing environments. Princeton, New Jersey: Princeton University Press 1968 |
| [26] | Lewontin, R. C.: Models of natural selection, pp. 3-16. In: Proc. Volterra Symposium (Barigozzi, C., ed.). New York: Springer 1980 |
| [27] | Lin, C. C., Segel, L. A.: Mathematics applied to deterministic models in the natural sciences. New York: Macmillan 1973 |
| [28] | Matessi, C., Scudo, F. M.: The population genetics of assortative mating based on imprinting. Theoret. Population Biology 7, 306-337 (1975) · Zbl 0311.92011 · doi:10.1016/0040-5809(75)90023-4 |
| [29] | Mather, K.: Polygenic inheritance and natural selection. Biol. Rev. 18, 32-64 (1943) · doi:10.1111/j.1469-185X.1943.tb00287.x |
| [30] | May, R. M.: Predators that switch. Nature 269, 103-104 (1977) · doi:10.1038/269103a0 |
| [31] | Mimura, M., Murray, J. D.: On a diffusive prey-predator model which exhibits patchiness. J. Theoret. Biol. 75, 249-262 (1978) · doi:10.1016/0022-5193(78)90332-6 |
| [32] | Murdoch, W. W.: Switching in general predators: Experiments on predator specificity and stability of prey populations. Ecol. Monogr. 39, 335-354 (1969) · doi:10.2307/1942352 |
| [33] | Murdoch, W. W., Avery, S., Smyth, M. E. B.: Switching in predatory fish. Ecology 56, 1094-1105 (1975) · doi:10.2307/1936149 |
| [34] | Murdoch, W. W., Oaten, A.: Predation and population stability. Adv. Ecol. Res. 9, 1-131 (1975) · doi:10.1016/S0065-2504(08)60288-3 |
| [35] | O’Donald, P.: Theoretical aspects of sexual selection. Theoret. Population Biology 12, 298-334 (1977) · doi:10.1016/0040-5809(77)90048-X |
| [36] | Othmer, H. G., Scriven, L. E.: Instability and dynamic pattern in cellular networks. J. Theoret. Biol. 32, 507-532 (1971) · doi:10.1016/0022-5193(71)90154-8 |
| [37] | Popham, E. J.: The variation in the colour of certain species of Arctocorisa (Hemiptera, Corixidae) and its significance. Proc. Zool. Soc. London A 111, 135-172 (1941) |
| [38] | Popham, E. J.: Further experimental studies on the selective action of predators. Proc. Zool. Soc. London A 112, 105-117 (1942) |
| [39] | Rand, A. S.: Predator-prey interactions and the evolution of aspect diversity. Atas do Simposio Sobra a Biota Amazonica (Zoologia) 5, 73-83 (1967) |
| [40] | Rausher, M. D.: Search image for leaf shape in a butterfly. Science 200, 1071-1073 (1978) · doi:10.1126/science.200.4345.1071 |
| [41] | Ricklefs, R.: Ecology. Concord, Massachusetts: Chiron Press 1973 |
| [42] | Ricklefs, R., O’Rourke, K.: Aspect diversity in moths: A temperate-tropical comparison. Evolution 29, 313-324 (1975) · doi:10.2307/2407219 |
| [43] | Rocklin, S. M., Oster, G. F.: Competition between phenotypes. J. Math. Biol. 3, 225-261 (1976) · Zbl 0403.92017 |
| [44] | Rosenzweig, M.: Paradox of enrichment: Destabilization of exploitation ecosystems in ecological time. Science 171, 385-387 (1971) · doi:10.1126/science.171.3969.385 |
| [45] | Roughgarden, J.: Evolution of niche width. Am. Nat. 106, 683-718 (1972) · doi:10.1086/282807 |
| [46] | Roughgarden, J., Feldman, M.: Species packing and predation pressure. Ecology 56, 489-492 (1975) · doi:10.2307/1934982 |
| [47] | Royama, T.: Factors governing the hunting behavior and selection of food by the great tit (Parus major L.). J. Anim. Ecol. 39, 619-668 (1970) · doi:10.2307/2858 |
| [48] | Segel, L. A., Levin, S. A.: Application of nonlinear stability theory to the study of the effects of diffusion on predator-prey interactions. In: Topics in statistical mechanics and biophysics, AIP Conf. Proc 27 (Piccirelli, R. A., ed.). New York: American Institute of Physics 1976 |
| [49] | Segel, L. A., Jackson, J.: Dissipative structure: An explanation and an ecological example. J. Theoret. Biol. 37, 545-559 (1972) · doi:10.1016/0022-5193(72)90090-2 |
| [50] | Slatkin, M.: Selection and polygenic characters. Proc. Nat. Acad. Sci. USA 66, 87-93 (1970) · doi:10.1073/pnas.66.1.87 |
| [51] | Slatkin, M.: The evolutionary response to frequency- and density-dependent interactions. Am. Nat. 114, 384-398 (1979) · doi:10.1086/283487 |
| [52] | Slatkin, M., Lande, R.: Niche width in a fluctuating environment?Density independent model. Am. Nat. 110, 31-55 (1976) · doi:10.1086/283047 |
| [53] | Smith, J. N. M., Sweatman, H. P. A.: Food-searching behavior of titmice in a patchy environment. Ecology 55, 1216-1232 (1974) · doi:10.2307/1935451 |
| [54] | Stebbins, G. L., Jr.: Variation and evolution in plants. New York: Columbia University Press 1950 |
| [55] | Tinbergen, L.: The natural control of insects in pine woods I. Factors influencing the intensity of predation by songbirds. Arch. Nederland. Zool. 13, 265-343 (1960) · doi:10.1163/036551660X00053 |
| [56] | Turing, A.: The chemical basis of morphogenesis. Philos. Trans. R. Soc. London Ser. B, 237, 37-72 (1952) · Zbl 1403.92034 · doi:10.1098/rstb.1952.0012 |
| [57] | Wagener, K. D.: Preferential mating: Nonrandom mating of a continuous phenotype. Theoret. Population Biology 10, 185-204 (1976) · Zbl 0342.92009 · doi:10.1016/0040-5809(76)90015-0 |
| [58] | Wilson, S. R.: The correlation between relatives under the multifactorial models with assortative mating: I. The multifactorial model with assortative mating. Ann. Human Genetics 37, 289-304 (1973) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
