Bedau Mark A, Packard Norman H
Reed College, 3203 SE Woodstock Blvd., Portland, OR 97202, USA.
Biosystems. 2003 May;69(2-3):143-62. doi: 10.1016/s0303-2647(02)00137-5.
We examine a simple form of the evolution of evolvability-the evolution of mutation rates-in a simple model system. The system is composed of many agents moving, reproducing, and dying in a two-dimensional resource-limited world. We first examine various macroscopic quantities (three types of genetic diversity, a measure of population fitness, and a measure of evolutionary activity) as a function of fixed mutation rates. The results suggest that (i) mutation rate is a control parameter that governs a transition between two qualitatively different phases of evolution, an ordered phase characterized by punctuated equilibria of diversity, and a disordered phase of characterized by noisy fluctuations around an equilibrium diversity, and (ii) the ability of evolution to create adaptive structure is maximized when the mutation rate is just below the transition between these two phases of evolution. We hypothesize that this transition occurs when the demands for evolutionary memory and evolutionary novelty are typically balanced. We next allow the mutation rate itself to evolve, and we observe that evolving mutation rates adapt to values at this transition. Furthermore, the mutation rates adapt up (or down) as the evolutionary demands for novelty (or memory) increase, thus supporting the balance hypothesis.
我们在一个简单的模型系统中研究了可进化性演变的一种简单形式——突变率的演变。该系统由许多在二维资源有限的世界中移动、繁殖和死亡的主体组成。我们首先研究了各种宏观量(三种类型的遗传多样性、种群适应性的一种度量以及进化活性的一种度量)作为固定突变率的函数。结果表明:(i)突变率是一个控制参数,它支配着进化的两个性质不同阶段之间的转变,一个是由多样性的间断平衡所表征的有序阶段,另一个是由围绕平衡多样性的噪声波动所表征的无序阶段;(ii)当突变率刚好低于这两个进化阶段之间的转变时,进化创造适应性结构的能力达到最大化。我们假设当对进化记忆和进化新奇性的需求通常达到平衡时,就会发生这种转变。接下来,我们让突变率本身进化,并且观察到进化的突变率会适应到这个转变点处的值。此外,随着对新奇性(或记忆)的进化需求增加,突变率向上(或向下)适应,从而支持了平衡假说。