The maximum likelihood approach to reconstructing ancestral character states of discrete characters on phylogenies
The maximum likelihood approach to reconstructing ancestral character states of discrete characters on phylogenies
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DOI:
10.1080/106351599260184
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发表时间:
1999-09-01
影响因子:
6.5
通讯作者:
Pagel, M
中科院分区:
文献类型:
--
作者:
Pagel, M
A phylogeny describes the hierarchical pattern of descent of some group of species from a common ancestor. If information is available on the character states of the con? temporary species, the possibility is raised of using that information in combination with the phylogeny to reconstruct the historical events of evolution. These reconstructions can be used to retrieve a picture of the world as the species evolved along what would be? come the branches of the phylogeny. This, in turn, provides a way to test hypotheses about evolution and adaptation. Methods based on the principle of par? simony reconstruct the ancestral character states to minimize the number of histori? cal character changes required to produce the diversity observed among the contem? porary species (see Maddison et al., 1984, for a general account). An alternative to parsi? mony approaches makes use of the princi? ple of maximum likelihood. Maximum like? lihood solutions make the observed data most likely given some model of the process under investigation (see Edwards, 1972). In a phylogenetic context this means recon? structing the ancestral character states to make the character states observed among the contemporary species most probable, given some statistical model of the way evolution proceeds. Maximum likelihood solutions may or may not be the most-parsimonious solution. I restrict myself here to using maximum likelihood models to infer ancestral char? acter states for binary discrete characters, that is, for characters that can adopt only two states, although the generalization to more than two states requires no new con? cepts. My approach to reconstructing ances? tral states makes use of a Markov model of binary character evolution on phylogenies (Pagel, 1994). Sanderson (1993) describes a related model for investigating rates of gains and losses of characters for which the ancestral states are assumed to be known. Schluter (1995), Yang et al.(1995), and Koshi and Goldstein (1996) derive methods that are similar to the procedures I will describe here. However, Yang et al.(1995) and Koshi and Goldstein (1996) use what I shall term" global" methods for estimating ancestral characters, I argue for a" local" approach on grounds that the global method does not produce a maximum-likelihood estimate of the hypothesis of interest. Schluter (1995) re? ported global and local estimators in his in? vestigation of artiodactyl ribonucleases, and Schluter et al.(1997) reported global estima?