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Volumn 238, Issue 3, 2006, Pages 564-574

A branching process, its application in biology: Influence of demographic parameters on the social structure in mammal groups

Author keywords

Birth death branching process; Extinction probability; Matriline

Indexed keywords

DEMOGRAPHY; ECOLOGICAL THEORY; EXTINCTION; MAMMAL; SOCIAL STRUCTURE;

EID: 30444442283     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.06.010     Document Type: Article
Times cited : (9)

References (40)
  • 1
    • 0035438332 scopus 로고    scopus 로고
    • On the existence of the stable birth-type distribution in a general branching process cell cycle model with unequal cell division
    • 10.1239/jap/1005091032
    • M. Alexandersson On the existence of the stable birth-type distribution in a general branching process cell cycle model with unequal cell division J. Appl. Probab. 38 3 2001 685 695 10.1239/jap/1005091032
    • (2001) J. Appl. Probab. , vol.38 , Issue.3 , pp. 685-695
    • Alexandersson, M.1
  • 2
    • 0034710956 scopus 로고    scopus 로고
    • Social enhancement of fitness in yellow-bellied marmots
    • 10.1073/pnas.200196097
    • K.B. Armitage, and O.A. Schwartz Social enhancement of fitness in yellow-bellied marmots PNAS 97 22 2000 12149 12152 10.1073/pnas.200196097
    • (2000) PNAS , vol.97 , Issue.22 , pp. 12149-12152
    • Armitage, K.B.1    Schwartz, O.A.2
  • 3
    • 0001998990 scopus 로고
    • Strong approximations for epidemic models
    • 10.1016/0304-4149(94)00034-Q
    • F. Ball, and P. Donnelly Strong approximations for epidemic models Stochastic Process. Appl. 55 1 1995 1 21 10.1016/0304-4149(94)00034-Q
    • (1995) Stochastic Process. Appl. , vol.55 , Issue.1 , pp. 1-21
    • Ball, F.1    Donnelly, P.2
  • 4
    • 0041426596 scopus 로고    scopus 로고
    • The great circle epidemic model
    • 10.1016/S0304-4149(03)00074-7
    • F. Ball, and P. Neal The great circle epidemic model Stochastic Process. Appl. 107 2 2003 233 268 10.1016/S0304-4149(03)00074-7
    • (2003) Stochastic Process. Appl. , vol.107 , Issue.2 , pp. 233-268
    • Ball, F.1    Neal, P.2
  • 5
    • 4544345134 scopus 로고    scopus 로고
    • Approximating the reed-frost epidemic process
    • 10.1016/j.spa.2004.03.013
    • A.D. Barbour, and S. Utev Approximating the reed-frost epidemic process Stochastic Process. Appl. 113 2 2004 173 197 10.1016/j.spa.2004.03.013
    • (2004) Stochastic Process. Appl. , vol.113 , Issue.2 , pp. 173-197
    • Barbour, A.D.1    Utev, S.2
  • 6
    • 0003210978 scopus 로고
    • Markov branching processes regulated by emigration and large immigration
    • 10.1016/0304-4149(94)00083-6
    • A. Chen, and E. Renshaw Markov branching processes regulated by emigration and large immigration Stochastic Process. Appl. 57 2 1995 339 359 10.1016/0304-4149(94)00083-6
    • (1995) Stochastic Process. Appl. , vol.57 , Issue.2 , pp. 339-359
    • Chen, A.1    Renshaw, E.2
  • 7
    • 0013386228 scopus 로고    scopus 로고
    • Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration
    • 10.1016/S0304-4149(99)00125-8
    • A. Chen, and E. Renshaw Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration Stochastic Process. Appl. 88 2 2000 177 193 10.1016/S0304-4149(99)00125-8
    • (2000) Stochastic Process. Appl. , vol.88 , Issue.2 , pp. 177-193
    • Chen, A.1    Renshaw, E.2
  • 8
    • 0002846470 scopus 로고
    • Patterns of group splitting within matrilineal kinship groups
    • B.D. Chepko-Sade, and D.S. Sade Patterns of group splitting within matrilineal kinship groups Behav. Ecol. Sociobiol. 5 1979 67 86
    • (1979) Behav. Ecol. Sociobiol. , vol.5 , pp. 67-86
    • Chepko-Sade, B.D.1    Sade, D.S.2
  • 9
    • 0026016382 scopus 로고
    • Gene diversity and female philopatry
    • R.K. Chesser Gene diversity and female philopatry Genetics 127 2 1991 437 447
    • (1991) Genetics , vol.127 , Issue.2 , pp. 437-447
    • Chesser, R.K.1
  • 10
    • 0018081291 scopus 로고
    • Social group fission and the origin of intergroup genetic differentiation among the rhesus monkeys of Cayo Santiago
    • J.M. Cheverud, J. Buettner-Janusch, and D. Sade Social group fission and the origin of intergroup genetic differentiation among the rhesus monkeys of Cayo Santiago Am. J. Phys. Anthropol. 49 4 1978 449 456
    • (1978) Am. J. Phys. Anthropol. , vol.49 , Issue.4 , pp. 449-456
    • Cheverud, J.M.1    Buettner-Janusch, J.2    Sade, D.3
  • 11
    • 0039500758 scopus 로고    scopus 로고
    • Approximation of epidemics by inhomogeneous birth-and-death processes
    • 10.1016/S0304-4149(97)00092-6
    • D. Clancy, and P. O'Neill Approximation of epidemics by inhomogeneous birth-and-death processes Stochastic Process. Appl. 73 2 1998 233 245 10.1016/S0304-4149(97)00092-6
    • (1998) Stochastic Process. Appl. , vol.73 , Issue.2 , pp. 233-245
    • Clancy, D.1    O'Neill, P.2
  • 12
    • 0032556964 scopus 로고    scopus 로고
    • Relatedness of matrilines, dispersing males and social groups in long-tailed macaques (Macaca fascicularis)
    • de Ruiter, J.R., Geffen, E., 1998. Relatedness of matrilines, dispersing males and social groups in long-tailed macaques (Macaca fascicularis). Proc. R. Soc. Lond. B Biol. Sci. 265 (1391) 79-87.
    • (1998) Proc. R. Soc. Lond. B Biol. Sci. , vol.265 , Issue.1391 , pp. 79-87
    • De Ruiter, J.R.1    Geffen, E.2
  • 13
    • 0030295812 scopus 로고    scopus 로고
    • The asymptotic behavior of an urn model arising in population genetics
    • 10.1016/S0304-4149(96)00085-3
    • P. Donnelly, and T.G. Kurtz The asymptotic behavior of an urn model arising in population genetics Stochastic Process. Appl. 64 1 1996 1 16 10.1016/S0304-4149(96)00085-3
    • (1996) Stochastic Process. Appl. , vol.64 , Issue.1 , pp. 1-16
    • Donnelly, P.1    Kurtz, T.G.2
  • 14
    • 0030375333 scopus 로고    scopus 로고
    • The iterated Galton-Watson process
    • B. Gawel, and M. Kimmel The iterated Galton-Watson process J. Appl. Probab. 33 1996 949 959
    • (1996) J. Appl. Probab. , vol.33 , pp. 949-959
    • Gawel, B.1    Kimmel, M.2
  • 15
    • 0031572723 scopus 로고    scopus 로고
    • On the quasi-stationary distribution of a stochastic Ricker model
    • 10.1016/S0304-4149(97)00064-1
    • G. Högnäs On the quasi-stationary distribution of a stochastic Ricker model Stochastic Process. Appl. 70 2 1997 243 263 10.1016/S0304-4149(97) 00064-1
    • (1997) Stochastic Process. Appl. , vol.70 , Issue.2 , pp. 243-263
    • Högnäs, G.1
  • 16
    • 0035438328 scopus 로고    scopus 로고
    • A reconsideration of Lotka's extinction probability using a bisexual branching process
    • 10.1239/jap/1005091041
    • D. Hull A reconsideration of Lotka's extinction probability using a bisexual branching process J. Appl. Probab. 38 3 2001 776 780 10.1239/jap/1005091041
    • (2001) J. Appl. Probab. , vol.38 , Issue.3 , pp. 776-780
    • Hull, D.1
  • 17
    • 0142075077 scopus 로고    scopus 로고
    • Inference on the initial size of a supercritical branching process from migrating binomial observations
    • C. Jacob, and J. Peccoud Inference on the initial size of a supercritical branching process from migrating binomial observations C. R. Acad. Sci., Ser. I 322 1996 875 880
    • (1996) C. R. Acad. Sci., Ser. I , vol.322 , pp. 875-880
    • Jacob, C.1    Peccoud, J.2
  • 18
    • 0037368193 scopus 로고    scopus 로고
    • Epidemiological modeling in a branching population. Particular case of a general SIS model with two age classes
    • 10.1016/S0025-5564(02)00160-8
    • C. Jacob, and A.F. Viet Epidemiological modeling in a branching population. Particular case of a general SIS model with two age classes Math. Biosci. 182 1 2003 93 111 10.1016/S0025-5564(02)00160-8
    • (2003) Math. Biosci. , vol.182 , Issue.1 , pp. 93-111
    • Jacob, C.1    Viet, A.F.2
  • 19
    • 0041707131 scopus 로고    scopus 로고
    • Population-size-dependent and age-dependent branching processes
    • 10.1016/S0304-4149(99)00111-8
    • P. Jagers, and F.C. Klebaner Population-size-dependent and age-dependent branching processes Stochastic Process. Appl. 87 2 2000 235 254 10.1016/S0304-4149(99)00111-8
    • (2000) Stochastic Process. Appl. , vol.87 , Issue.2 , pp. 235-254
    • Jagers, P.1    Klebaner, F.C.2
  • 20
    • 0034341930 scopus 로고    scopus 로고
    • The growth of general population-size-dependent branching processes year by year
    • 10.1239/jap/1014842264
    • P. Jagers, and S. Sagitov The growth of general population-size-dependent branching processes year by year J. Appl. Probab. 37 1 2000 1 14 10.1239/jap/1014842264
    • (2000) J. Appl. Probab. , vol.37 , Issue.1 , pp. 1-14
    • Jagers, P.1    Sagitov, S.2
  • 21
    • 3042739762 scopus 로고    scopus 로고
    • Variation in mating system and group structure in two populations of swift foxes, Vulpes velox
    • 10.1016/j.anbehav.2003.07.017
    • J.F. Kamler, W.B. Ballard, P.R. Lemons, and K. Mote Variation in mating system and group structure in two populations of swift foxes, Vulpes velox Anim. Behav. 68 1 2004 83 88 10.1016/j.anbehav.2003.07.017
    • (2004) Anim. Behav. , vol.68 , Issue.1 , pp. 83-88
    • Kamler, J.F.1    Ballard, W.B.2    Lemons, P.R.3    Mote, K.4
  • 22
    • 0039726975 scopus 로고    scopus 로고
    • Fission, fusion and nonrandom associations in female bechtein's bats (Myotis bechsteinii)
    • G. Kerth, and B. König Fission, fusion and nonrandom associations in female bechtein's bats (Myotis bechsteinii) Behaviour 136 1999 1187 1202
    • (1999) Behaviour , vol.136 , pp. 1187-1202
    • Kerth, G.1    König, B.2
  • 23
    • 0013120177 scopus 로고    scopus 로고
    • Branching Processes in Biology
    • Springer, New York.
    • Kimmel, M., Axelrod, D.E., 2002. Branching Processes in Biology, Mathematical Biology, vol. 19. Springer, New York.
    • (2002) Mathematical Biology , vol.19
    • Kimmel, M.1    Axelrod, D.E.2
  • 24
    • 0036998566 scopus 로고    scopus 로고
    • The age of a Galton-Watson population with a geometric offspring distribution
    • 10.1239/jap/1037816021
    • F.C. Klebaner, and S. Sagitov The age of a Galton-Watson population with a geometric offspring distribution J. Appl. Probab. 39 4 2002 816 828 10.1239/jap/1037816021
    • (2002) J. Appl. Probab. , vol.39 , Issue.4 , pp. 816-828
    • Klebaner, F.C.1    Sagitov, S.2
  • 25
    • 0037669071 scopus 로고    scopus 로고
    • Modelling the influence of demographic parameters on group structure in social species with dispersal asymmmetry and group fission
    • 10.1007/s00265-002-0578-8
    • D. Lefebvre, N. Ménard, and J.-S. Pierre Modelling the influence of demographic parameters on group structure in social species with dispersal asymmmetry and group fission Behav. Ecol. Sociobiol. 53 6 2003 402 410 10.1007/s00265-002-0578-8
    • (2003) Behav. Ecol. Sociobiol. , vol.53 , Issue.6 , pp. 402-410
    • Lefebvre, D.1    Ménard, N.2    Pierre, J.-S.3
  • 26
    • 0023669438 scopus 로고
    • The genetic consequences of primate social organization: A review of macaques, baboons and vervet monkeys
    • D.J. Melnick The genetic consequences of primate social organization: a review of macaques, baboons and vervet monkeys Genetica 73 1987 117 135
    • (1987) Genetica , vol.73 , pp. 117-135
    • Melnick, D.J.1
  • 27
    • 0001464484 scopus 로고
    • The genetic consequences of social group fission in a wild population of rhesus monkeys (Macaca mulatta)
    • D.J. Melnick, and K.K. Kidd The genetic consequences of social group fission in a wild population of rhesus monkeys (Macaca mulatta) Behav. Ecol. Sociobiol. 12 1983 229 236
    • (1983) Behav. Ecol. Sociobiol. , vol.12 , pp. 229-236
    • Melnick, D.J.1    Kidd, K.K.2
  • 28
    • 0001062671 scopus 로고
    • Dynamics of fission in a wild barbary macaque group (Macaca sylvanus)
    • N. Ménard, and D. Vallet Dynamics of fission in a wild barbary macaque group (Macaca sylvanus) Int. J. Primatol. 14 3 1993 479 500
    • (1993) Int. J. Primatol. , vol.14 , Issue.3 , pp. 479-500
    • Ménard, N.1    Vallet, D.2
  • 29
    • 0030456921 scopus 로고    scopus 로고
    • Demography and ecology of barbary macaques (Macaca sylvanus) in two different habitats
    • J. Fa D. Lindburg Cambridge University Press Cambridge
    • N. Ménard, and D. Vallet Demography and ecology of barbary macaques (Macaca sylvanus) in two different habitats J. Fa D. Lindburg Evolution and Ecology of Macaque Societies 1996 Cambridge University Press Cambridge 106 131
    • (1996) Evolution and Ecology of Macaque Societies , pp. 106-131
    • Ménard, N.1    Vallet, D.2
  • 30
    • 0036763308 scopus 로고    scopus 로고
    • Bisexual Galton-Watson branching process with population-size-dependent mating
    • 10.1239/jap/1034082121
    • M. Molina, M. Mota, and A. Ramos Bisexual Galton-Watson branching process with population-size-dependent mating J. Appl. Probab. 39 3 2002 479 490 10.1239/jap/1034082121
    • (2002) J. Appl. Probab. , vol.39 , Issue.3 , pp. 479-490
    • Molina, M.1    Mota, M.2    Ramos, A.3
  • 31
    • 0030944539 scopus 로고    scopus 로고
    • Social rank and birth sex ratios in rhesus monkeys
    • 10.1016/S0168-1591(96)01111-2
    • C. Nevison Social rank and birth sex ratios in rhesus monkeys Appl. Anim. Behav. Sci. 51 3-4 1997 285 291 10.1016/S0168-1591(96)01111-2
    • (1997) Appl. Anim. Behav. Sci. , vol.51 , Issue.3-4 , pp. 285-291
    • Nevison, C.1
  • 32
    • 34250092986 scopus 로고
    • Sociological study on the troop fission of wild Japanese monkeys (Macaca fuscata yakui) on Yakushima Island
    • T. Oi Sociological study on the troop fission of wild Japanese monkeys (Macaca fuscata yakui) on Yakushima Island Primates 29 1 1988 1 19
    • (1988) Primates , vol.29 , Issue.1 , pp. 1-19
    • Oi, T.1
  • 33
    • 0032260587 scopus 로고    scopus 로고
    • The xlogx condition for general branching processes
    • 10.1239/jap/1032265202
    • P. Olofsson The x log x condition for general branching processes J. Appl. Probab. 35 3 1998 537 544 10.1239/jap/1032265202
    • (1998) J. Appl. Probab. , vol.35 , Issue.3 , pp. 537-544
    • Olofsson, P.1
  • 35
    • 0039617817 scopus 로고
    • The primate perspective on dispersal
    • N.Chr. Stenseth W.Z. Lidicker Jr. Chapman & Hall New York
    • A.E. Pusey The primate perspective on dispersal N.Chr. Stenseth W.Z. Lidicker Jr. Dispersal: Small Mammals as a Model 1992 Chapman & Hall New York 243 259
    • (1992) Dispersal: Small Mammals As a Model , pp. 243-259
    • Pusey, A.E.1
  • 36
    • 0037365592 scopus 로고    scopus 로고
    • On the distribution of family names
    • 10.1016/S0378-4371(02)01455-3
    • W.J. Reed, and B.D. Hughes On the distribution of family names Physica A 319 2003 579 590 10.1016/S0378-4371(02)01455-3
    • (2003) Physica a , vol.319 , pp. 579-590
    • Reed, W.J.1    Hughes, B.D.2
  • 37
    • 0033233843 scopus 로고    scopus 로고
    • The general coalescent with asynchronous mergers of ancestral lines
    • 10.1239/jap/1032374759
    • S. Sagitov The general coalescent with asynchronous mergers of ancestral lines J. Appl. Probab. 36 4 1999 1116 1125 10.1239/jap/1032374759
    • (1999) J. Appl. Probab. , vol.36 , Issue.4 , pp. 1116-1125
    • Sagitov, S.1
  • 38
    • 0030588094 scopus 로고    scopus 로고
    • A discrete-time, multi-type generational inheritance branching process model of cell proliferation
    • 10.1016/S0025-5564(96)00066-1
    • D.N. Stivers, M. Kimmel, and D.E. Axelrod A discrete-time, multi-type generational inheritance branching process model of cell proliferation Math. Biosci. 137 1 1996 25 50 10.1016/S0025-5564(96)00066-1
    • (1996) Math. Biosci. , vol.137 , Issue.1 , pp. 25-50
    • Stivers, D.N.1    Kimmel, M.2    Axelrod, D.E.3
  • 39
    • 0033238268 scopus 로고    scopus 로고
    • Extinction of population-size-dependent branching processes in random environments
    • 10.1239/jap/1032374237
    • H.-X. Wang Extinction of population-size-dependent branching processes in random environments J. Appl. Probab. 36 1 1999 146 154 10.1239/jap/1032374237
    • (1999) J. Appl. Probab. , vol.36 , Issue.1 , pp. 146-154
    • Wang, H.-X.1
  • 40
    • 0033235825 scopus 로고    scopus 로고
    • Asymptotic behaviour of population-size-dependent branching processes in Markovian random environments
    • 10.1239/jap/1032374477
    • H.-X. Wang, and D. Fang Asymptotic behaviour of population-size-dependent branching processes in Markovian random environments J. Appl. Probab. 36 2 1999 611 619 10.1239/jap/1032374477
    • (1999) J. Appl. Probab. , vol.36 , Issue.2 , pp. 611-619
    • Wang, H.-X.1    Fang, D.2


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