Bénichou O, Calvez V, Meunier N, Voituriez R
Laboratoire de Physique Théorique de la Matière Condensée, UMR 7600 CNRS/UPMC, 4 Place Jussieu, 75255 Paris Cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 1):041908. doi: 10.1103/PhysRevE.86.041908. Epub 2012 Oct 10.
We introduce a minimal model of population range expansion in which the phenotypes of individuals present no selective advantage and differ only in their diffusion rate. We show that such neutral phenotypic variability (i.e., that does not modify the growth rate) alone can yield phenotype segregation at the front edge, even in absence of genetic noise, and significantly impact the dynamical properties of the expansion wave. We present an exact asymptotic traveling wave solution and show analytically that phenotype segregation accelerates the front propagation. The results are compatible with field observations such as invasions of cane toads in Australia or bush crickets in Britain.
我们引入了一个种群范围扩张的最小模型，其中个体的表型不具有选择优势，仅在扩散速率上有所不同。我们表明，即使在没有遗传噪声的情况下，这种中性表型变异性（即不改变增长率）本身也会在前沿产生表型分离，并显著影响扩张波的动力学特性。我们给出了一个精确的渐近行波解，并通过分析表明表型分离加速了前沿传播。这些结果与实地观测结果相符，比如澳大利亚蔗蟾的入侵或英国灌丛蟋蟀的情况。
