Robustness results for the coalescent

Journal of Applied Probability

Volumn 35, Issue 2, 1998, Pages 438-447

  Mohle M ^a,b  

^a UNIVERSITY OF CHICAGO   (United States)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Coalescence probability; Genealogical process; Mean crowding; Moran model; Population genetics; Robustness; Wright Fisher model

Indexed keywords

EID: 0038896666     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200015060     Document Type: Article

References (11)

1. CANNINGS, C. (1974). The latent roots of certain Markov chains arising in genetics: A new approach. I. Haploid models. Adv. Appl. Prob. 6, 260-290.
2. DONNELLY, P. AND TAVARÉ, S. (1995). Coalescents and genealogical structure under neutrality. Ann. Rev. Genet. 29, 401-421.
3. GLADSTIEN, K. (1976). Loss of alleles in a haploid population with varying environment. Theor. Pop. Biol. 10, 383-394.
4. GLADSTIEN, K. (1977). Haploid populations subject to varying environment: the characteristic values and the rate of loss of alleles. SIAM J. Appl. Math. 32, 778-783.
5. GLADSTIEN, K. (1978). The characteristic values and vectors for a class of stochastic matrices arising in genetics. SIAM J. Appl. Math. 34, 630-642.
6. GRIFFITHS, R.C. AND TAVARÉ, S. (1994). Sampling theory for neutral alleles in a varying environment. Phil. Trans. R. Soc. Lond. B 344, 403-410.
7. KINGMAN, J.F.C. (1982). On the genealogy of large populations. In Essays in Statistical Science, Papers in honour of P. A. P. Moran, ed. J. Gani and E.J. Hannan. (J. Appl. Prob. Special Volume 19A.) Sheffield, UK, pp. 27-43.
8. KINGMAN, J.F.C. (1982). Exchangeability and the evolution of large populations. In Exchangeability in Probability and Statistics, ed. G. Koch and F. Spizzichino. North-Holland Publishing Company, pp. 97-112.
9. KINGMAN, J.F.C. (1982). The coalescent. Stoch. Proc. Appl. 13, 235-248.
10. LLOYD, M. (1967). Mean crowding. J. Animal Ecology 36, 1-30.
11. MARJORAM, P. (1992). Correlation structures in applied probability. Ph.D. Thesis, University College London.