Statistical properties of genealogical trees

被引：39

作者：

Derrida, B

Manrubia, SC

Zanette, DH

机构：

[1] Ecole Normale Super, Phys Stat Lab, F-75231 Paris 05, France

[2] Max Planck Gesell, Fritz Haber Inst, D-14195 Berlin, Germany

[3] Ctr Atom Bariloche, Consejo Nacl Invest Cient & Tecn, RA-8400 Bariloche, Rio Negro, Argentina

[4] Inst Balseiro, RA-8400 Bariloche, Rio Negro, Argentina

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.82.1987

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the statistical properties of genealogical trees in a neutral model of a closed population with sexual reproduction and nonoverlapping generations. By reconstructing the genealogy of an individual from the population evolution, we measure the distribution of ancestors appearing more than once in a given tree. After a transient time, the probability of repetition follows, up to a rescaling, a stationary distribution which we calculate both numerically and analytically. This distribution exhibits a universal shape with a nontrivial power law which can be understood by an exact, though simple, renormalization calculation. Some real data on human genealogy illustrate the problem, which is relevant to the study of the real degree of diversity in closed interbreeding communities.

引用

页码：1987 / 1990

页数：4

共 20 条

[1] Impact of the human egalitarian syndrome on Darwinian selection mechanics
Boehm, C
[J]. AMERICAN NATURALIST, 1997, 150 : S100 - S121
[2] Modern human origins backdated
Brauer, G
Yokoyama, Y
Falgueres, C
Mbua, E
[J]. NATURE, 1997, 386 (6623) : 337 - 338
[3] Genes, peoples, and languages
CavalliSforza, LL
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1997, 94 (15) : 7719 - 7724
[4] Model for force fluctuations in bead packs
Coppersmith, SN
Liu, C
Majumdar, S
Narayan, O
Witten, TA
[J]. PHYSICAL REVIEW E, 1996, 53 (05): : 4673 - 4685
[5] REPLICA SYMMETRICAL-SOLUTIONS IN THE ISING SPIN-GLASS - THE TREE APPROXIMATION
DEDOMINICIS, C
MOTTISHAW, P
[J]. EUROPHYSICS LETTERS, 1987, 3 (01): : 87 - 94
[6] The genealogical tree of a chromosome
Derrida, B
Jung-Muller, B
[J]. JOURNAL OF STATISTICAL PHYSICS, 1999, 94 (3-4) : 277 - 298
[7] DERRIDA B, IN PRESS
[8] Genetic traces of ancient demography
Harpending, HC
Batzer, MA
Gurven, M
Jorde, LB
Rogers, AR
Sherry, ST
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1998, 95 (04) : 1961 - 1967
[9] MEAN-FIELD THEORY OF SPIN-GLASSES WITH FINITE COORDINATION-NUMBER
KANTER, I
SOMPOLINSKY, H
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (02) : 164 - 167
[10] MEAN-FIELD THEORY OF RANDOMLY FRUSTRATED SYSTEMS WITH FINITE CONNECTIVITY
MEZARD, M
PARISI, G
[J]. EUROPHYSICS LETTERS, 1987, 3 (10): : 1067 - 1074

← 1 2 →