Matessi C, Di Pasquale C
Istituto di Genetica Biochimica ed Evoluzionistica, Consiglio Nazionale delle Ricerche, Pavia, Italy.
J Math Biol. 1996;34(5-6):613-53. doi: 10.1007/BF02409752.
We analyze monomorphic equilibria of long-term evolution for one or two continuous traits, controlled by an arbitrary number of autosomal loci and subject to constant viability selection. It turns out that fitness maximization always obtains at long term equilibria, but in the case of two traits, linkage determines the precise nature of the fitness measure that is maximized. We then consider local convergence to long term equilibria, for two multilocus traits subject to either constant or frequency dependent selection. From a model of long-term dynamics near an equilibrium we derive a criterion of local long-term stability for 2-dimensional equilibria. It turns out that mutation can be a decisive factor for stability.
我们分析了由任意数量的常染色体基因座控制且受恒定生存力选择的一个或两个连续性状的长期进化的单态平衡。结果表明，在长期平衡中总能实现适应度最大化，但对于两个性状的情况，连锁决定了被最大化的适应度度量的精确性质。然后，我们考虑了两个受恒定或频率依赖选择的多位点性状向长期平衡的局部收敛。从平衡附近的长期动力学模型中，我们推导出了二维平衡的局部长期稳定性标准。结果表明，突变可能是稳定性的决定性因素。
