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The establishment and spreading of biological populations depends cruciallyon population growth at low densities. The Allee effect is a problem in thosepopulations where the per-capita growth rate at low densities is reduced. Weexamine stochastic spatial models in which the reproduction rate changes acrossa gradient g so that the population undergoes a 2D-percolation transition.Without the Allee effect, the transition is continuous and the width w of thehull scales as in conventional (i.e., uncorrelated) gradient percolation,proportional to g^(-0.57). However, with a strong Allee effect the transitionis first order and w is proportional to g^(-0.26).

Changes in the gradient percolation transition caused by an Allee effect