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All issues Volume 9 / No 3 (2014) Math. Model. Nat. Phenom., 9 3 (2014) 124-137 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 9, Number 3, 2014
Biological evolution
Page(s) 124 - 137
DOI https://doi.org/10.1051/mmnp/20149308
Published online 28 May 2014
  1. R. D. Alexander. Darwinism and human affairs. Seattle, University of Washington Press, 1979. [Google Scholar]
  2. R. D. Alexander. The biology of moral systems. New York, Aldine de Gruyter, 1987. [Google Scholar]
  3. L. W. Beukeboom, R. C. Vrijenhoek. Evolutionary genetics and ecology of sperm-dependent parthenogenesis. J. Evol. Biol, 11 (1998), 755–782. [CrossRef] [Google Scholar]
  4. Å. Brännström, U. Dieckmann. Evolutionary dynamics of altruism and cheating among social amoebas. Proc. R. Soc. London B, 272 (2005), 1609–1616. [CrossRef] [Google Scholar]
  5. Å. Brännström, D. J. T. Sumpter. The role of competition and clustering in population dynamics. Proc. R. Soc. London B, 272 (2005), 2065–2072. [CrossRef] [Google Scholar]
  6. F. B. Christiansen. On conditions for evolutionary stability for a continuously varying character. Am. Nat., 138 (1991), 37–50. [CrossRef] [Google Scholar]
  7. M. Doebeli, C. Hauert, T. Killingback. The evolutionary origin of cooperators and defectors. Science, 306 (2004), 859–862. [CrossRef] [PubMed] [Google Scholar]
  8. I. Eshel. Evolutionary and continuous stability. J. Theor. Biol., 103 (1983), 99–111. [CrossRef] [Google Scholar]
  9. H. Eskola, S. A. H. Geritz. On the mechanistic derivation of various discrete-time population models. Bull. Math. Biol., 69 (2007), 329–346. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  10. H. Eskola, K. Parvinen. On the mechanistic underpinning of discrete-time population models with Allee effect. Theor. Popul. Biol., 72 (2007), 41–51. [CrossRef] [PubMed] [Google Scholar]
  11. H. Eskola, K. Parvinen. The Allee effect in mechanistic models based on inter-individual interaction processes. Bull. Math. Biol., 72 (2010), 184–207. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  12. R. Ferrière. Adaptive responses to environmental threats: evolutionary suicide, insurance, and rescue. Options Spring 2000, IIASA, Laxenburg, Austria, 12–16, 2000. [Google Scholar]
  13. J. A. Fletcher, M. Doebeli. A simple and general explanation for the evolution of altruism. Proc. R. Soc. London B, 276 (2009), 13–19. [CrossRef] [Google Scholar]
  14. S. A. H. Geritz, É. Kisdi, G. Meszéna, J. A. J. Metz. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol., 12 (1998), 35–57. [CrossRef] [Google Scholar]
  15. S. A. H. Geritz, J. A. J. Metz, É. Kisdi, G. Meszéna. Dynamics of adaptation and evolutionary branching. Phys. Rev. Lett., 78 (1997), 2024–2027. [Google Scholar]
  16. M. Gyllenberg, J. A. J. Metz. On fitness in structured metapopulations. J. Math. Biol., 43 (2001), 545–560. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  17. M. Gyllenberg, K. Parvinen. Necessary and sufficient conditions for evolutionary suicide. Bull. Math. Biol., 63 (2001), 981–993. [CrossRef] [PubMed] [Google Scholar]
  18. M. Gyllenberg, K. Parvinen, U. Dieckmann. Evolutionary suicide and evolution of dispersal in structured metapopulations. J. Math. Biol., 45 (2002), 79–105. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  19. W. D. Hamilton. The genetical evolution of social behaviour I. J. Theor. Biol, 7 (1964), 1–16. [CrossRef] [PubMed] [Google Scholar]
  20. W. D. Hamilton. The genetical evolution of social behaviour II. J. Theor. Biol, 7 (1964), 17–52. [CrossRef] [PubMed] [Google Scholar]
  21. K. Heubel, D. Rankin, H. Kokko. How to go extinct by mating too much: population consequences of male mate choice and efficiency in a sexual-asexual species complex. Oikos, 118 (2009), 513–520. [CrossRef] [Google Scholar]
  22. H. Kokko, K. Heubel, D. Rankin. How populations persist when asexuality requires sex: the spatial dynamics of coping with sperm parasites. Proc. R. Soc. London B, 275 (2008), 817–825. [CrossRef] [Google Scholar]
  23. H. Kokko, K. U. Heubel. Prudent males, group adaptation, and the tragedy of the commons. Oikos, 120 (2011), 641–656. [CrossRef] [Google Scholar]
  24. R. Levins. Some demographic and genetic consequenses of environmental heterogeneity for biological control. Bull. Entomol. Soc. Am., 15 (1969), 237–240. [Google Scholar]
  25. R. Levins. Extinction. In M. Gerstenhaber, editor, Some Mathematical Problems in Biology. American Mathematical Society, Providence, RI, (1970), 77–107. [Google Scholar]
  26. H. Matsuda. Evolutionarily stable strategies for predator switching. J. Theor. Biol, 115 (1985), 351–366. [CrossRef] [Google Scholar]
  27. J. Maynard Smith. Evolution and the theory of games. Amer. Sci., 64 (1976), 41–45. [CrossRef] [Google Scholar]
  28. J. A. Mee, F. Noddin, J. R. Hanisch, W. M. Tonn, C. A. Paszkowski. Diets of sexual and sperm-dependent asexual dace (Chrosomus spp.): relevance to niche differentiation and mate choice hypotheses for coexistence. Oikos, 122 (2013), 998–1008. [CrossRef] [Google Scholar]
  29. J. A. Mee, S. P. Otto. Variation in the strength of male mate choice allows long-term. Evolution, 64 (2010), 2808–2819. [PubMed] [Google Scholar]
  30. J. A. J. Metz, S. A. H. Geritz, G. Meszéna, F. J. A. Jacobs, J. S. van Heerwaarden. Adaptive dynamics, a geometrical study of the consequenses of nearly faithful reproduction. In S. J. van Strien and S. M. Verduyn Lunel, editors, Stochastic and Spatial Structures of Dynamical Systems. North-Holland, Amsterdam, (1996), 183–231. [Google Scholar]
  31. J. A. J. Metz, M. Gyllenberg. How should we define fitness in structured metapopulation models? Including an application to the calculation of ES dispersal strategies. Proc. R. Soc. London B, 268 (2001), 499–508. [CrossRef] [Google Scholar]
  32. J. A. J. Metz, R. M. Nisbet, S. A. H. Geritz. How should we define “fitness” for general ecological scenarios? Trends Ecol. Evol., 7 (1992), 198–202. [CrossRef] [PubMed] [Google Scholar]
  33. W. S. Moore. Components of fitness in a unisexual fish Poeciliopsis monacha-occidentalis. Evolution, 30 (1976), 564–578. [CrossRef] [PubMed] [Google Scholar]
  34. M. A. Nowak, K. Sigmund. The dynamics of indirect reciprocity. J. Theor. Biol, 194 (1998), 561–574. [CrossRef] [PubMed] [Google Scholar]
  35. M. A. Nowak, K. Sigmund. Evolution of indirect reciprocity by image scoring. Nature, 393 (1998), 573–577. [CrossRef] [PubMed] [Google Scholar]
  36. M. A. Nowak, K. Sigmund. Evolution of indirect reciprocity. Nature, 437 (2005), 1291–1298. [CrossRef] [PubMed] [Google Scholar]
  37. H. Ohtsuki, Y. Iwasa. The leading eight: Social norms that can maintain cooperation by indirect reciprocity. J. Theor. Biol., 239 (2006), 435–444. [CrossRef] [PubMed] [Google Scholar]
  38. K. Parvinen. Evolutionary suicide. Acta Biotheoretica, 53 (2005), 241–264. [CrossRef] [PubMed] [Google Scholar]
  39. K. Parvinen. Evolution of dispersal in a structured metapopulation model in discrete time. Bull. Math. Biol., 68 (2006), 655–678. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  40. K. Parvinen. Evolutionary suicide in a discrete-time metapopulation model. Evol. Ecol. Res., 9 (2007), 619–633. [Google Scholar]
  41. K. Parvinen. Adaptive dynamics of altruistic cooperation in a metapopulation: Evolutionary emergence of cooperators and defectors or evolutionary suicide? Bull. Math. Biol., 73 (2011), 2605–2626. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  42. K. Parvinen, U. Dieckmann. Self-extinction through optimizing selection. J. Theor. Biol, 333 (2013), 1–9. [CrossRef] [PubMed] [Google Scholar]
  43. K. Parvinen, U. Dieckmann. Evolutionary suicide. In U. Dieckmann and J. A. J. Metz, editors, Elements of Adaptive Dynamics. Cambridge University Press, (in press). [Google Scholar]
  44. K. Parvinen, U. Dieckmann, M. Gyllenberg, J. A. J. Metz. Evolution of dispersal in metapopulations with local density dependence and demographic stochasticity. J. Evol. Biol, 16 (2003), 143–153. [Google Scholar]
  45. K. Parvinen, J. A. J. Metz. A novel fitness proxy in structured locally finite metapopulations with diploid genetics, with an application to dispersal evolution. Theor. Popul. Biol., 73 (2008), 517–528. [CrossRef] [PubMed] [Google Scholar]
  46. C. Rueffler, M. Egas, J. A. J. Metz. Evolutionary predictions should be based on individual-level traits. Am. Nat., 168 (2006), E148–E162. [CrossRef] [PubMed] [Google Scholar]
  47. D. Schley, C. P. Doncaster, T. Sluckin. Population models of sperm-dependent parthenogenesis. J. Theor. Biol, 229 (2004), 559–572. [CrossRef] [PubMed] [Google Scholar]
  48. R. Sugden. The Evolution of Rights, Co-operation and Welfare.Oxford: Blackwell, 1986. [Google Scholar]
  49. D. J. T. Sumpter, D. S. Broomhead. Relating individual behaviour to population dynamics. Proc. R. Soc. London B, 268 (2001), 925–932. [Google Scholar]
  50. R. Trivers. The Evolution of Reciprocal Altruism. Q Rev Biol, 46 (1971), 35–57. [CrossRef] [Google Scholar]
  51. P. H. Van Tienderen, G. De Jong. Sex ratio under the haystack model: Polymorphism may occur. J. Theor. Biol., 122 (1986), 69–81. [CrossRef] [Google Scholar]
  52. R. C. Vrijenhoek. Factors affecting clonal diversity and coexistence. Am. Zool., 19 (1979), 787–797. [Google Scholar]

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