Clauset A, Redner S
Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA.
Phys Rev Lett. 2009 Jan 23;102(3):038103. doi: 10.1103/PhysRevLett.102.038103. Epub 2009 Jan 22.
We present a quantitative model for the biological evolution of species body masses within large groups of related species, e.g., terrestrial mammals, in which body mass M evolves according to branching (speciation), multiplicative diffusion, and an extinction probability that increases logarithmically with mass. We describe this evolution in terms of a convection-diffusion-reaction equation for lnM. The steady-state behavior is in good agreement with empirical data on recent terrestrial mammals, and the time-dependent behavior also agrees with data on extinct mammal species between 95-50 Myr ago.
我们提出了一个关于相关物种大群体（如陆生哺乳动物）内物种体重生物进化的定量模型，其中体重M根据分支（物种形成）、乘法扩散以及随体重对数增加的灭绝概率而进化。我们用lnM的对流 - 扩散 - 反应方程来描述这种进化。稳态行为与近期陆生哺乳动物的经验数据高度吻合，且随时间变化的行为也与9500万 - 5000万年前灭绝哺乳动物物种的数据相符。
