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Many physical and natural systems, including the population of species,evolve in habitats with spatial stochastic variations of the individuals'motility. We study here the effect of those fluctuations on invasion andgenetic loss. A Langevin equation for the \textit{position} and \textit{border}of the invasion front is obtained. A striking result is that small/largefluctuations of diffusivity suppress/intensify genetic loss. Our findingsreveal the potential role of environmental fluctuations as a regulating factorfor genetic loss and provide a simple explanation for the regional differencesin the intensity of genetic drift observed during the final stages of humanevolution and in tumor mutational landscapes.

Environmental Disorder Regulation of Invasion and Genetic Loss