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进化很好理解,但怎么用数学模型来表达呢?

已有 5729 次阅读 2017-1-25 18:14 |系统分类:科研笔记| 生态学, 数学, style, 模型

这些年,我一直在想下面的问题,并把它向很多外国大理论生态学家提出,可他们的回复都是 I don't know。

Although it is very easy to intuitively understand Darwin's theory of evolution, i.e, ever increase complexity of system structure sustained by matter, energy and information connections for acclimation, I think that there is a more enormous challenge on how to express it by mathematical models whose analytical expression must also be changed along with time. For example, suppose that at t moment,the kinetic model of a specific ecosystem could be written as follows:

dx/dt= f(t)(t,x,p,u) = 3*x*u- 2*exp(-x)

wheret x, u is state and input, respectively. but at t+t moment,it maybe changed by eco-work during t into new analytical expression as follows:

dx/dt= f(t+t)(t,x,p,u) = x^2-2*exp(-2*x)+u*exp(x)

If we can solve this huge problem, really valid ecological models would be developed to describe

and predict the ecosystem behaviors, such as the species origin, community succession, niche differentiation, ecosystem evolution, and so forth.

      这个问题不解决,近5年来,我所建立的生态学模型都很naive,因为和所有建模者一样,把生态系统看成了机械系统,没有触及它的根本动力学机制。生态系统的变化不是量变,而是质变,我理解质变就是结构的复杂化。


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