Sam Karlin and multi-locus population genetics

Theoretical Population Biology

Volumn 75, Issue 4, 2009, Pages 233-235

  Feldman, Marcus W ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Dynamical systems; Epistasis; Linkage; Polymorphisms

Indexed keywords

EPISTASIS; EVOLUTIONARY THEORY; GENOTYPE; POPULATION GENETICS; SELECTION;

ARTICLE; CHROMOSOME MAP; GENETIC RECOMBINATION; GENOTYPE; HISTORY; HUMAN; POPULATION GENETICS;

CHROMOSOME MAPPING; GENETICS, POPULATION; GENOTYPE; HISTORY, 20TH CENTURY; HUMANS; RECOMBINATION, GENETIC;

EID: 67349101670     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2009.01.002     Document Type: Article

References (38)

1. Bodmer W.F., and Felsenstein J. Linkage and selection: Theoretical analysis of the deterministic two-locus random mating model. Genetics 57 (1967) 237-265
2. Ewens W.J. A genetic model having complex linkage behavior. Theor. Appl. Genet. 38 (1968) 140-143
3. Ewens W.J. Mean fitness increases when fitnesses are additive. Nature 221 (1969) 1076
4. Feldman M.W. Selection for linkage modification: I. Random mating populations. Theor. Popul. Biol. 3 (1972) 324-346
5. Feldman M.W., and Karlin S. The evolution of dominance: A direct approach through the theory of linkage and selection. Theor. Popul. Biol. 2 (1971) 482-492
6. Feldman M.W., and Liberman U. On the number of stable equilibria and the simultaneous stability of fixation and polymorphism in two-locus models. Genetics 92 (1979) 1355-1360
7. Feldman M.W., and Liberman U. An evolutionary reduction principle for genetic modifiers. Proc. Natl. Acad. Sci. USA 83 (1986) 4824-4827
8. Feldman M.W., Franklin I., and Thomson G.J. Selection in complex genetic systems. I. The symmetric equilibria of the three-locus symmetric viability model. Genetics 76 (1974) 135-162
9. Franklin I.R., and Feldman M.W. Two loci with two alleles: Linkage equilibrium and linkage disequilibrium can be simultaneously stable. Theor. Popul. Biol. 12 (1977) 95-113
10. Hastings A. Stable cycling in discrete-time genetic models. Proc. Natl. Acad. Sci. USA 78 (1981) 7224-7225
11. Karlin S. General two-locus selection models. Some objectives, results, and interpretations. Theor. Popul. Biol. 7 (1975) 364-398
12. Karlin S. Theoretical aspects of multi-locus selection balance I. In: Levin S. (Ed). Studies in Mathematical Biology. Part II: Populations and Communities. Studies in Mathematics vol. 16 (1978), The Mathematical Association of America 503-587
13. Karlin S. The number of stable equilibria for the classical one-locus multi-allele selection model. J. Math. Biol. 9 (1980) 189-192
14. Karlin S. Classifications of selection-migration structures and conditions for a protected polymorphism. Evol. Biol. 14 (1982) 61-202
15. Karlin S., and Campbell R.B. Selection-migration regimes characterized by a globally stable equilibrium. Genetics 94 (1980) 1065-1084
16. Karlin S., and Campbell R.B. Polymorphism in subdivided populations characterised by major and subordinate demes. Heredity 44 (1980) 151-168
17. Karlin S., and Carmelli D. Numerical studies on two-loci selection models with general viabilities. Theor. Popul. Biol. 7 (1975) 399-421
18. Karlin S., and Feldman M.W. Linkage and selection: New equilibrium properties of the two-locus symmetric viability model. Proc. Natl. Acad. Sci. USA 62 (1969) 70-74
19. Karlin S., and Feldman M.W. Linkage and selection: Two-locus symmetric viability model. Theor. Popul. Biol. 1 (1970) 39-71
20. Karlin S., and Feldman M.W. Convergence to equilibrium of the two locus additive viability model. J. Appl. Probab. 7 (1970) 262-271
21. Karlin S., and Feldman M.W. Simultaneous stability of D=0 and D≠0 for multiplicative viabilities at two loci. Genetics 90 (1978) 813-825
22. Karlin S., and McGregor J. Polymorphisms for genetic and ecological systems with weak coupling. Theor. Popul. Biol. 3 (1972) 210-238
23. Karlin S., and McGregor J. Application of method of small parameters to multi-niche population genetic models. Theor. Popul. Biol. 3 (1972) 186-209
24. Karlin S., and McGregor J. The evolutionary development of modifier genes. Proc. Natl. Acad. Sci. USA 69 (1972) 3611-3614
25. Karlin S., and McGregor J. Towards a theory of the evolution of modifier genes. Theor. Popul. Biol. 5 (1974) 59-103
26. Karlin S., and Liberman U. A phenotypic symmetric selection model for three loci, two alleles. The case of tight linkage. Theor. Popul. Biol. 10 (1976) 334-364
27. Karlin S., and Liberman U. The two-locus multi-allele additive viability model. J. Math. Biol. 5 (1978) 201-211
28. Karlin S., and Liberman U. Central equilibria in multilocus systems. I. Generalized non-epistatic selection regimes. Genetics 91 (1979) 777-798
29. Karlin S., and Liberman U. Central equilibria in multilocus systems. II. Bisexual generalized non-epistatic selection models. Genetics 91 (1979) 799-816
30. Karlin S., and Liberman U. Representation of non-epistatic selection models and analysis of multilocus Hardy-Weinberg equilibrium configurations. J. Math. Biol. 7 (1979) 353-374
31. Kimura M. A model of a genetic system which leads to closer linkage by natural selection. Evolution 10 (1956) 278-281
32. Kingman J.F.C. A matrix inequality. Quart. J. Math. 12 (1961) 78-80
33. Kingman J.F.C. A mathematical problem in population genetics. Proc. Cambridge Philos. Soc. 57 (1961) 574-582
34. Lewontin R.C., and Kojima K. The evolutionary dynamics of complex polymorphism. Evolution 14 (1960) 458-472
35. Moran P.A.P. Balanced polymorphisms with unlinked loci. Aust. J. Biol. Sci. 16 (1963) 1-5
36. Moran P.A.P. On the nonexistence of adaptive topographies. Ann. Hum. Genet. 27 (1964) 383-393
37. Nei M. Modification of linkage intensity by natural selection. Genetics 57 (1967) 625-641
38. Nei M. Linkage modification and sex difference in recombination. Genetics 63 (1969) 681-699