Abstract
The elegance and persuasiveness of Darwinian thought strikes a sympathetic chord with ecologists and natural historians, who see in the beauty of nature remarkable examples of organisms “adapted” to their environments. The subtlety of the process of adaptation is however too often ignored, and the notion of optimization mistakenly equated with adaptation. Lewontin (1977) reminds us that “adaptation, for Darwin, was a process of becoming rather than a state of final optimality.” As pointed out elsewhere (Levin 1978), “environments change, not only due to extrinsic causes, but also as a result of adaptation already effected. The evolutionary response is to the present, and carries with it no guarantee that any sort of optimum will be attained. Evolution is something which simply happens, rather than a calculated, far-seeing program for optimization.”
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Amir, S., On the optimal timing of reproduction. Amer.Natur. 114: 461–466, 1979.
Anderson, W.W., Genetic equilibrium and population growth under density-regulated selection. Amer.Natur. 105: 489–498, 1971.
Charlesworth, B., Selection in density-regulated populations. Ecology 52: 469–474, 1971.
Cohen, D., Maximizing final yield when growth is limited by time or by limiting resources. J.Theor.Biol. 33: 299–307, 1971.
Cohen, D., The optimal timing of reproduction. Amer.Natur. 110: 801–807, 1976.
Comins, H.N.,W.D. Hamilton, and R.M. May, Evolutionary stable dispersal strategies. Theor. Pop.Biol., to appear.
Dawkins, R., The Selfish Gene. New York, Oxford University Press. 1976. 224+xi pp.
Elderkin, R.H., Analysis of an age-dependent, nonlinear model of seed dispersal, ms., 1979.
Endler, J.A., A predator’s view of animal color patterns. Evol.Biol. 11: 219–364, 1978.
Ewens, W.J., A generalized fundamental theorem of natural selection. Genetics, 63: 531–537, 1969a.
Ewens, W.J., Mean fitness increases when fitnesses are additive. Nature 221: 1076, 1969b.
Ewens, W.J., Mathematical Population Genetics. Springer Verlag, Berlin-Heidelberg-New York. 1979. 325+xii pp.
Gadgil, M., Dispersal: population consequences and evolution. Ecology 52: 253–260, 1971.
Gillespie, J.H., The role of migration in the genetic structure of temporally and spatially varying environments. III. Migration modification (ms.), 1979.
Ginzburg, L.R., The equilibrium and stability for n alleles under the density-dependent selection. J. Theor. Biol. 68: 545–550. 1977.
Hamilton, W.D. and R.M. May, Dispersal in stable habitats. Nature 269: 578–581, 1977.
Harrison, R., Dispersal polymorphisms in insects. Ann.Rev.Ecol.Syst. (to appear).
Karlin, S., Models of multifactorial inheritance: I, multivariate formulations and basic convergence results. Theor.Pop.Biol. 15: 308–356, 1979.
Kimura, M., Some recent advances in the theory of population genetics. Jap. J. Hum. Genet. 10:43–48., 1965.
Kingman, J.F.C., A matrix inequality. Quart. J. Math 12: 78–80, 1961a.
Kingman, J.F.C., A mathematical problem in population genetics. Proc. Cambridge Phil. Soc. 57: 574–582, 1961b.
Lande, R., The maintenance of genetic variability by mutation in a polygenic character with linked loci. Genet. Res. 26: 221–235, 1976.
Levin, S.A., On the evolution of ecological parameters. Pages 3–26 in. P.F.Brussard, ed., Ecological Genetics: The Interface. Springer Verlag, Heidelberg, 1978
Levin, S.A. and R.T. Paine, Disturbance, patch formation, and community structure. Proc. Nat. Acad.Sci.USA 72: 2744–2747, 1974.
Levin, S.A. and L.A. Segel, A model for the influence of predator pressure on aspect diversity in prey populations. (In preparation, 1980).
Levin, S.A. and J.D. Udovic, A mathematical model of coevolving populations. Amer. Natur. Hl: 657–675, 1977.
Levin, S.A., D. Cohen, and A. Hastings, Optimal strategies in patchy environments. (In preparation, 1980).
Lewontin, R.C., Adaptation. Enciclopedia Einaudi Turin 1: 198–214, 1977.
Maynard Smith, J., Evolution and the theory of games. Amer.Sci. 64: 41–45, 1976.
Maynard Smith, J., Evolution and the theory of games. In_: W. Matthews (ed.), Mathematics in the Life Sciences. Lecture Notes in Biomathematics. Springer Verlag, Berlin-New York. 1977.
Motro, U., Optimal rates of dispersion and migration in biological populations: I. Haploid models, (ms) 1979a.
Motro, U., Optimal rates of dispersion and migration in biological populations: II Diploid models, (ms) 1979b.
Mulholland, H.P. and C.A.B. Smith, An inequality arising in genetical theory. Amer. Math.Monthly 66: 673–683, 1959.
Nagylaki, T., The evolution of one- and two-locus systems. Genetics 83: 583–600, 1976
Orzack, S.H., J.S. Sohn, K.D. Kallman, S.A. Levin and R. Johnston, Maintenance of the three sex chromosome polymorphism in the platyfish, xiphophorus macuiatus. Evolution, in press.
Paine, R.T., Disaster, catastrophe, and local persistence of the sea palm Posteisia palmaeformis. Science 205: 685–687, 1979.
Paine, R.T. and S.A. Levin, Intertidal landscapes: disturbance and the dynamics of pattern. Ecological Monographs, to appear 1980.
Rand, A.S., Predator-prey interactions and the evolution of aspect diversity. Atlas do Simposio Sobra a Biota Amazónica 5 (Zoologia): 73–83, 1967.
Ricklefs, R.E. and K.E. O’Rourke, Aspect diversity in moths: a temperate-tropical comparison. Evolution 29: 313–324.
Rocklin, S. and G. Oster, Competition between phenotypes. J. Math.Biol. 3: 225–262, 1976.
Roff, D.A., Population stability and the evolution of dispersal in a heterogeneous environment. Oecologia 19: 217–237, 1975.
Roughgarden, J., Resource partitioning among competing species. A coevolutionary approach. Theor.Pop.Biol. 9: 388–424, 1976.
Roughgarden, J., Coevolution in ecological systems II. Results from “loop analysis” for purely density-dependent coevolution. In F.B. Christiansen and T. Fenchel (eds.), Symposium on the Measurement of Selection in Natural Populations. Lecture Notes in Biomathematics. Springer Verlag, Heidelberg, 1977.
Scheuer, P.A.G. and S.P.H. Mandel, An inequality in population genetics. Heredity 13: 519–524, 1959.
Strathman, R., The spread of sibling larvae of sedentary marine invertebrates. Amer.Natur. 108: 29–44, 1974.
Slatkin, M., Selection and polygenic characters. Proc.Nat.Acad.Sci. 66: 87–93, 1970.
Slatkin, M., Frequency- and density-dependent selection on a quantitative parameter. Genetics (to appear, 1979b ).
Slatkin, M. and R. Lande, Niche width in a fluctuating environment-density dependent model. Amer.Natur. 110: 31–55. 1976.
Slatkin, M. and J. Maynard Smith, Models of coevolution. Q.Rev.Biol, (to appear, 1979 ).
Slatkin, M. and M.J. Wade, Group selection on a quantitative character. Proc. Nat. Acad. Sci. 75: 3531–3534. 1978.
Wade, M.J., A critical review of the models of group selection. Quarterly Review of Biology 53: 101–114. 1978.
Wright, S., Adaptation and selection, pp. 365–389 in G.L. Jepson, G.G. Simpson, and E. Mayr (eds.), Genetics, Paleontology, and Evolution. Princeton University Press, Princeton, N.J. 1949.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Levin, S.A. (1980). Some Models for the Evolution of Adaptive Traits. 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_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-93161-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10279-3
Online ISBN: 978-3-642-93161-1
eBook Packages: Springer Book Archive