1925
DOI: 10.1098/rstb.1925.0002
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II.—A mathematical theory of evolution, based on the conclusions of Dr. J. C. Willis, F. R. S

Abstract: The following work is founded on that conception of evolution, the most recent and precise formulation of which is due to Dr. J. C. Willis, and represents an attempt to develop the quantitative consequences of the conception. By his statistical studies of distribution Dr. Willis was led to two conclusions:— (1) Species occupying large areas are, on the whole , older than those occupying small areas, provided that allied forms are compared.

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Cited by 1,439 publications
(507 citation statements)
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“…tRNAs were predicted using tRNAscan-SE 40 . All predicted proteins were functionally annotated using SignalP 41 for signal sequences, TMHMM 42 for transmembrane domains, interProScan 43 59 and a Yule tree prior 60 .…”
Section: Methodsmentioning
confidence: 99%
“…tRNAs were predicted using tRNAscan-SE 40 . All predicted proteins were functionally annotated using SignalP 41 for signal sequences, TMHMM 42 for transmembrane domains, interProScan 43 59 and a Yule tree prior 60 .…”
Section: Methodsmentioning
confidence: 99%
“…In the following, time 0 is today and t or the origin of the tree, so time is increasing going into the past. Special cases of the birth-death process are the Yule model (Yule, 1924) where µ = 0 and the critical branching process (Aldous and Popovic, 2005;Popovic, 2004) where µ = λ. When looking at phylogenies, we have a given number, say n, of extant taxa.…”
Section: Introductionmentioning
confidence: 99%
“…The first to show that using a stochastic process to model the evolution of a population may lead to a distribution with a power-law tail was Udny Yule [746]. Appropriately, this work was done in the context of providing a mathematical model for the theory of evolution.…”
Section: Preferential Attachmentmentioning
confidence: 99%