Mutant invasions and adaptive dynamics in variable environments

Evolution

Volumn 67, Issue 5, 2013, Pages 1279-1290

  Ripa, Jörgen ^a   Dieckmann, Ulf ^b  

^a LUND UNIVERSITY   (Sweden)

^b INTERNATIONAL INSTITUTE FOR APPLIED SYSTEMS ANALYSIS   (Austria)

Author keywords

Adaptation; Fitness; Mutations; Population biology; Population genetics; Selection natural

Indexed keywords

ADAPTATION; ALLELE; CANONICAL ANALYSIS; EVOLUTIONARY BIOLOGY; INVASIVE SPECIES; MUTATION; PROBABILITY; STOCHASTICITY; TIMESCALE;

ADAPTATION; ANIMAL; ARTICLE; BIOLOGICAL MODEL; DIPLOIDY; ENVIRONMENT; GENE FREQUENCY; GENETICS; MOLECULAR EVOLUTION; MUTATION; POPULATION; REPRODUCTION; STATISTICS; TIME;

ADAPTATION, BIOLOGICAL; ANIMALS; DIPLOIDY; ENVIRONMENT; EVOLUTION, MOLECULAR; GENE FREQUENCY; MODELS, GENETIC; MUTATION; POPULATION; REPRODUCTION; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 84876847026     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/evo.12046     Document Type: Article

References (38)

1. Athreya, K. B. 1992. Rates of decay for the survival probability of a mutant gene. J. Math. Biol. 30:577-581.
2. Athreya, K. B., and S. Karlin. 1971. Branching processes with random environments.1. Extinction probabilities. Ann. Math. Stat. 42:1499-1520.
3. Box, G. E. P., G. M. Jenkins, and G. C. Reinsel. 1994. Time series analysis: forecasting and control. 3rd ed. Prentice Hall, Upper Saddle River, NJ.
4. Charlesworth, B. 1971. Selection in density-regulated populations. Ecology 52:469-474.
5. Cohen, D. 1966. Optimizing reproduction in a randomly varying environment. J. Theor. Biol. 12:119-129.
6. Dempster, E. R. 1955. Maintenance of genetic heterogeneity. Cold Spring Harbor Symp. Quant. Biol. 20:25-32.
7. Dieckmann, U., and R. Law. 1996. The dynamical theory of coevolution: a derivation from stochastic ecological processes. J. Math. Biol. 34:579-612.
8. Ewens, W. J. 1967. Probability of survival of a new mutant in a fluctuating environment. Heredity 22:438-443.
9. Eshel, I. 1981. On the survival probability of a slightly advantageous mutant-gene with a general distribution of progeny size-a branching-process model. J. Math. Biol. 12:355-362.
10. Geritz, S. A. H., E. Kisdi, G. Meszéna, and J. A. J. Metz. 1998. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol. 12:35-57.
11. Gillespie, J. H. 1973. Natural-selection with varying selection coefficients-haploid model. Genet. Res. 21:115-120.
12. Haccou, P., P. Jagers, and V. A. Vatutin. 2005. Branching processes: variation, growth, and extinction of populations. Cambridge UP, Cambridge.
13. Haldane, J. B. S. 1927. A mathematical theory of natural and artificial selection, Part V: selection and mutation. Proc. Camb. Philos. Soc. 23:838-844.
14. Heino, M., J. A. J. Metz, and V. Kaitala. 1998. The enigma of frequency-dependent selection. Trends Ecol. Evol. 13:367-370.
15. Hill, W. G. 1972. Probability of fixation of genes in populations of variable size. Theor. Pop. Biol 3:27-40.
16. Jensen, L. 1973. Random selective advantages of genes and their probabilities of fixation. Genet. Res. 21:215-219.
17. Karlin, S., and B. Levikson. 1974. Temporal fluctuations in selection intensities-case of small population-size. Theor. Popul. Biol. 6:383-412.
18. Karlin, S., and U. Lieberman. 1974. Random temporal variation in selection intensities-case of large population-size. Theor. Popul. Biol. 6:355-382.
19. Kendall, D. G. 1948. On the generalized "birth-and-death" process. Ann. Math. Stat. 19:1-15.
20. Kimura, M. 1962. On probability of fixation of mutant genes in a population. Genetics 47:713-719.
21. Kimura, M. 1954. Process leading to quasi-fixation of genes in natural populations due to random fluctuation of selection intensities. Genetics 39:280-295.
22. Kimura, M., and T. Ohta. 1974. Probability of gene fixation in an expanding finite population. Proc. Natl. Acad. Sci. USA 71:3377-3379.
23. Krengel, U. 1985. Ergodic Theorems. de Gruyter & Co., Berlin.
24. May, R. M. 1974. Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos. Science 186:645-647.
25. 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. 7:198-202.
26. Mylius, S. D., and O. Diekmann. 1995. On evolutionarily stable life histories, optimization and the need to be specific about density dependence. Oikos 74:218-224.
27. Otto, S., and M. Whitlock. 1997. The probability of fixation in populations of changing size. Genetics 146:723-733.
28. Patwa, Z., and L. M. Wahl. 2008. The fixation probability of beneficial mutations. J. Royal Soc. Interface 5:1279-1289.
29. Peischl, S., and M. Kirkpatrick. 2012. Establishment of new mutations in changing environments. Genetics 191: 895-906.
30. Pollak, E. 2000. Fixation probabilities when the population size undergoes cyclic fluctuations. Theor. Pop. Biol. 57:51-58.
31. Ripa, J., H. Olofsson, and N. Jonzen. 2010. What is bet-hedging, really? Invited reply. Proc. R. Soc. B 277:1153-1154.
32. Seger, J., and H. J. Brockmann. 1987. What is bet-hedging? Vol 4. Pp. 182-211 in P. H. Harvey, and L. Partridge, eds. Oxford surveys in evolutionary biology. Oxford Univ. Press, Oxford, U.K.
33. Smith, W. L., and W. E. Wilkinson. 1969. On branching processes in random environments. Ann. Math. Stat. 40:814-827.
34. Stirzaker, D. 2005. Stochastic processes & models. Oxford Univ. Press, Oxford, U.K.
35. Takahata, N., K. Ishii, and H. Matsuda. 1975. Effect of temporal fluctuation of selection coefficient on gene frequency in a population. Proc. Natl. Acad. Sci. USA 72:4541-4545.
36. Turelli, M., and D. Petry. 1980. Density-dependent selection in a random environment-an evolutionary process that can maintain stable-population dynamics. Proc. Natl. Acad. Sci. USA 77:7501-7505.
37. Uecker, H., and J. Hermisson. 2011. On the fixation process of a beneficial mutation in a variable environment. Genetics 188:915-930.
38. Waxman, D. 2011. A unified treatment of the probability of fixation when population size and the strength of selection change over time. Genetics 188:907-913.