SEARCH

SEARCH BY CITATION

LITERATURE CITED

  • Barton, N. H. 1999. Clines in polygenic traits. Genet. Res. 74:223236.
  • Bazykin, A. D. 1969. Hypothetical mechanism of speciation. Evolution 23:685687.
  • Bolker, B., and S. W. Pacala. 1997. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Pop. Biol. 52:179197.
  • Bulmer, M. G. 1980. The mathematical theory of quantitative genetics. Clarendon Press, Oxford , U. K. .
  • Case, T. J., and M. L. Taper. 2000. Interspecific competition, environmental gradients, gene flow, and the coevolution of species' borders. Am. Nat. 155:583605.
  • Dieckmann, U., and M. Doebeli. 1999. On the origin of species by sympatric speciation. Nature 400:354357.
  • Doebeli, M., and U. Dieckmann. 2003. Speciation along environmental gradients. Nature 421:259264.
  • Doebeli, M., and U. Dieckmann. 2004. Adaptive dynamics of speciation: spatial structure. Pp. 140167 in U. Dieckmann, J. A. J. Metz, M. Doebeli, and D. Tautz, eds. Adaptive speciation. Cambridge Univ. Press, Cambridge .
  • Doebeli, M., H. J. Blok, O. Leimar, and U. Dieckmann. 2007. Multimodal pattern formation in phenotype distributions of sexual populations. Proc. R. Soc. Lond. B 274:347357.
  • Endler, J. A. 1977. Geographic variation, speciation, and clines. Princeton Univ. Press, Princeton , NJ .
  • Felsenstein, J. 1975. A pain in the torus: some difficulties with models of isolation by distance. Am. Nat. 109:359368.
  • Fisher, R. A. 1950. Gene frequencies in a cline determined by selection and diffusion. Biometrics 6:353361.
  • Geritz, S. A. H., É. Kisdi, G. Meszéna, and J. A. J. Metz. 1998. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol. 12:3557.
  • Gyllenberg, M., and G. Meszéna. 2005. On the impossibility of coexistence of infinitely many strategies. J. Math. Biol. 50:133160.
  • Gyllenberg, M., J. Hemminki, and T. Tammaru. 1999. Allee effects can both conserve and create spatial heterogeneity in population densities. Theor. Pop. Biol. 56:231242.
  • Haccou, P., and Y. Iwasa. 1998. Robustness of optimal mixed strategies. J. Math. Biol. 36:485496.
  • Haldane, J. B. S. 1948. The theory of a cline. J. Genet. 48:277284.
  • Holt, R. D. 1977. Predation, apparent competition and the structure of prey communities. Theor. Pop. Biol. 12:197229.
  • Holt, R. D., and J. H. Lawton. 1994. The ecological consequences of shared natural enemies. Ann. Rev. Ecol. Syst. 25:495520.
  • Hopf, F. A., and F. W. Hopf. 1985. The role of the Allee effect in species packing. Theor. Pop. Biol. 27:2750.
  • Keitt, T. H., M. A. Lewis, and R. D. Holt. 2001. Allee effects, invasion pinnings and species' borders. Am. Nat. 157:203216.
  • Kirkpatrick, M., and N. H. Barton. 1997. Evolution of a species' range. Am. Nat. 150:123.
  • Law, R., D. J. Murrell, and U. Dieckmann. 2003. Population growth in space and time: spatial logistic equations. Ecology 84:252262.
  • MacArthur, R. H. 1972. Geographical ecology: patterns in the distribution of species. Harper and Row, New York .
  • May, R. M. 1973. Stability and complexity in model ecosystems. Princeton Univ. Press, Princeton, NJ .
  • Metz, J. A. J., R. M. Nisbet, and S. A. H. Geritz. 1992. How should we define fitness for general ecological scenarios? Trends Ecol. Evol. 7:198202.
  • Metz, J. A. J., S. A. H. Geritz, G. Meszéna, F. J. A. Jacobs, and J. S. Van Heerwaarden. 1996. Adaptive dynamics, a geometrical study of nearly faithful reproduction. Pp. 183231 in S. J. Van Strien and S. M. Verduyn Lunel, eds. Stochastic and spatial structures of dynamical systems. Proceedings of the Royal Dutch Academy of Science (KNAV Verhandelingen). North-Holland , Amsterdam .
  • Morris, R. J., O. T. Lewis, and H. C. J. Godfray. 2005. Apparent competition and insect community structure: towards a spatial perspective. Ann. Zool. Fenn. 42:449462.
  • Okubo, A., A. Hastings, and T. Powell. 2001. Population dynamics in temporal and spatial domains. Pp. 298373 in A. Okubo and S. A. Levin, eds. Diffusion and ecological problems, 2nd ed. Springer, New York .
  • Pigolotti, S., C. López, and E. Hernández-García. 2007. Species clustering in competitive Lotka-Volterra models. Phys. Rev. Lett. 98:258101.
  • Polechová, J., and N. H. Barton. 2005. Speciation through competition: a critical review. Evolution 59:11941210.
  • Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 1992. Numerical recipes in C: the art of scientific computing, 2nd ed. Cambridge Univ. Press, Cambridge .
  • Roughgarden, J. 1972. The evolution of niche width. Am. Nat. 106:683718.
  • Roughgarden, J.. 1979. Theory of population genetics and evolutionary ecology: an introduction. Macmillan, New York .
  • Sasaki, A. 1997. Clumped distribution by neighborhood competition. J. Theor. Biol. 186:415430.
  • Sasaki, A., and S. Ellner. 1995. The evolutionarily stable phenotype distribution in a random environment. Evolution 40:337350.
  • Slatkin, M. 1978. Spatial patterns in the distribution of polygenic characters. J. Theor. Biol. 70:213228.
  • Slatkin, M. 1979. Frequency- and density-dependent selection on a quantitative character. Genetics 93:755771.
  • Slatkin, M. 1980. Ecological character displacement. Ecology 61:163177.
  • Taborsky, B., U. Dieckmann, and M. Heino. 2003. Unexpected discontinuities in life-history evolution under size-dependent mortality. Proc. R. Soc. Lond. B 270:713721.
  • Taylor, C. M. and A. Hastings. 2005. Allee effects in biological invasions. Ecol. Lett. 8:895908.
  • Turing, A. M. 1952. The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. B 237:3772.
  • Wang, M. H. and M. Kot. 2001. Speeds of invasion in a model with strong or weak Allee effects. Math. Biosci. 171:8397.
  • Young, W. R., A. J. Roberts, and G. Stuhne. 2001. Reproductive pair correlations and the clustering of organisms. Nature 412:328331.