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Adaptive dynamics

Together with Hans Metz, Stefan Geritz és Kisdi Éva, we provided the full classification of the fixed points of the frequency-dependent evolutionary dynamics for clonal organisms. It was demonstrated that evolution branches at some kind of fixed points (Metz et al., 1996, Geritz et al., Evol. Ecol., 1998). We suggested that this mathematical structure is the theoretical basis of speciation. The first principles derivation of adaptive dynamics from the underlying population dynamics (Meszéna et al., Phys. Rev. Lett., 2005), and the development of the model with evolutionary branching based on spatial segregation (Meszéna et al., J. Biol. Syst. 1997) are the two most important contributions by myself. We studied many different cases of evolutionary branching and speciation in subsequent publications.

Related papers:

  1. 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 consequences of nearly faithfull reproduction I, In: S.J. van Strien & S.M. Verduyn Lunel (eds.) Stochastic and spatial structures of dynamical systems. North Holland, Amsterdam, 1996, pp. 183-231
  2. Geritz, S.A.H., É. Kisdi, G. Meszéna & J.A.J. Metz: The dynamics of adaptation and evolutionary branching.Phys. Rev. Lett. 78(10): 2024-2027 (1997)
  3. Meszéna G., I. Czibula &amp S.A.H. Geritz: Adaptive dynamics in a 2-patch environment:
    a toy model for allopatric and parapatric speciation. Journal of Biological Systems 5(2): 265-284 (1997)
  4. Geritz, S.A.H., É. Kisdi, G. Meszéna & J.A.J. Metz:Evolutionary singular strategies and the evolutionary growth and branching of the evolutionary tree.Evolutionary Ecology 12: 35-57 (1998)
  5. Meszéna G., É. Kisdi, U. Dieckmann , S.A.H. Geritz & J.A.J. Metz: Evolutionary optimisation models and matrix games in the unified perspective of adaptive dynmics.Selection 2(1-2):193-210 (2001)
  6. Meszéna G. & E. Szathmáry:Adaptive dynamics of parabolic replicators.Selection 2(1-2):147-159 (2001)
  7. Mizera, F. & G. Meszéna:Spatial niche packing, character displacement and adaptive
    speciation along an environmental gradient.Evolutionary Ecology Research 5: 363-382 (2003)
  8. Mágori, K., Oborny, B., Dieckmann, U. & Meszéna, G.:Cooperation and competition in heterogeneous environments:
    The evolution of resource sharing in clonal plants.Evolutionary Ecology Research 5(6): 787-817 (2003)
  9. Vukics, A., J. Asbóth &amp G. Meszéna: Speciation in multidimensional evolutionary space.Physical Review E 68, 041903 (2003)
  10. Geritz, S.A.H., É. Kisdi, G. Meszéna & J.A.J. Metz: Adaptive dynamics of speciation.In: U. Dieckmann, M. Doebeli, J.A.J. Metz, D. Tautz (eds.) Adaptive speciation. Cambridge University Press (2004)
  11. Mágori, K., P. Szabó, F. Mizera & G. Meszéna: Adaptive dynamics in cellular automaton: Role of spatiality in competition, coexistence and evolutionary branching. Evolutionary Ecology Research 7: 1-21 (2005)
  12. Meszéna, G.: Adaptive dynamics: the continuity argument.Journal of Evolutionary Biology 18(5): 1182-1185 (2005) PDF This is an invited commentary on the “Target review” “20 questions on Adaptive Dynamics: a target review” by Waxman & Gavrilets, Journal of Evolutionary Biology 18(5): 1139-1154 (2005)
  13. G. Meszéna, M. Gyllenberg, F. J. Jacobs & J. A. J. Metz: Link between population dynamics and dyanamics of Darwinian evolution.Physical Review Letters 95(7): 078105 (2005)
  14. P. L. Várkonyi, G. Meszéna & G. Domokos: Emergence of asymmetry in evolution. Theoretical Population Biology 70(1): 63-75 (2006)
  15. M. Durinx, J. A. J. Metz & G. Meszéna: Adaptive dynamics for physiologically structured population models.Journal of Mathematical Biology 56(5): 673-742 (2008)

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