论文标题
不断发展的不及物骰子人群中新兴的多样性
Emerging Diversity in a Population of Evolving Intransitive Dice
论文作者
论文摘要
利用不及物骰子的数学好奇心，我们提出了一个简单的共同进化理论模型，该模型捕获了从个体的基因组到物种多样性的全系统出现的量表。我们研究了一组不断发展的代理，它们在封闭的系统中进行了竞争性相互作用，在该系统中，突变的动力和竞争优势直接从将基因组解释为死亡的侧面。该模型展示了同胞形成，其中新物种从现有物种与整个生态系统接触时演变。在基因组和突变率中允许游离突变，我们发现与适应性的分层模型相比，有限突变率和多样性的亚稳态状态的出现。
Exploiting the mathematical curiosity of intransitive dice, we present a simple theoretical model for co-evolution that captures scales ranging from the genome of the individual to the system-wide emergence of species diversity. We study a set of evolving agents that interact competitively in a closed system, in which both the dynamics of mutations and competitive advantage emerge directly from interpreting a genome as the sides of a die. The model demonstrates sympatric speciation where new species evolve from existing ones while in contact with the entire ecosystem. Allowing free mutations both in the genomes and the mutation rates, we find, in contrast to hierarchical models of fitness, the emergence of a metastable state of finite mutation rate and diversity.
