Statistical properties of genealogical trees
نویسندگان
چکیده
Bernard Derrida,1 Susanna C. Manrubia,2 and Damián H. Zanette3 1Laboratoire de Physique Statistique de l’École Normale Supérieure, 24 rue Lhomond, F-75231 Paris 05 Cedex, France 2Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany 3Consejo Nacional de Investigaciones Cientı́ficas y Técnicas, Centro Atómico Bariloche e Instituto Balseiro, 8400 S.C. de Bariloche, Rı́o Negro, Argentina (Received 14 October 1998)
منابع مشابه
Statistical analysis of genealogical trees for polygamic species.
Repetitions within a given genealogical tree provide some information about the degree of consanguinity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point transformations. In particular, we show that the tree features strongly depend on the fractions of males and females in the population, and also on the offspring probabi...
متن کاملSelf-Similarity in Population Dynamics: Surname Distributions and Genealogical Trees
The frequency distribution of surnames turns out to be a relevant issue not only in historical demography but also in population biology, and especially in genetics, since surnames tend to behave like neutral genes and propagate like Y chromosomes. The stochastic dynamics leading to the observed scale-invariant distributions has been studied as a Yule process, as a branching phenomenon and also...
متن کاملThe genealogical sorting index: software and web site for quantifying the exclusivity of lineages
Background: We introduce the software that calculates a new statistic that we call the genealogical sorting index, or gsi. This statistic quantifies the common ancestry of groups of individuals on a phylogenetic tree. The significance of an observed genealogical sorting index value is measured with permutation testing. Results: The algorithm for calculating the genealogical sorting index was wr...
متن کاملOn the genealogy of a population of biparental individuals.
If one goes backward in time, the number of ancestors of an individual doubles at each generation. This exponential growth very quickly exceeds the population size, when this size is finite. As a consequence, the ancestors of a given individual cannot be all different and most remote ancestors are repeated many times in any genealogical tree. The statistical properties of these repetitions in g...
متن کاملEffect of selection on ancestry: an exactly soluble case and its phenomenological generalization.
We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particular model that we shall call the exponential model, the properties of the traveling wave front can be calculated exactly, as well as the statistics of the genealogy of the population. One striking result is that, for th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999