"UNIFIED" ECO-SYSTEM MODEL OF MACRO- AND MICROEVOLUTION BASED ENERGY

Author:

HE MINGFENG1,YU GUOJUN2

Affiliation:

1. Department of Applied Mathematics, Institute of University Students' Innovation, Dalian University of Technology, Dalian, 116024, China

2. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, China

Abstract

The source-network, the dynamic trophic level and the energy are incorporated into a "unified" model that describes both micro- and macroevolutions within a single theoretical framework. This model describes the microevolution in details by accounting for the birth, ageing, and natural death of individual organisms as prey-predator interactions on a hierarchical dynamic food web. It also provides a natural description of random mutations and speciation of species as well as their extinctions. The distribution of lifetimes of species follows an approximate power law only over a limited regime, and the distribution of trophic level follows an exponential attenuation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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