Effect of harvest timing on the dynamics of the Ricker-Seno model

The moment of intervention is a key question in harvest programmes and is currently generating an increasing interest. However, little is known about its effect on the population stability. This lack of knowledge is greater in the case of global stability, which is always desirable as it allows to predict the fate of populations regardless of the initial size. Here we use a discrete-time equation to model the dynamics of populations harvested at any time during the reproductive season. We study the effect of the time of intervention on the global stability of populations governed by the Ricker model, which is one of the most relevant models in discrete-time population dynamics. We prove that harvest timing never has a negative effect on the global stability of these populations, extending recent results in the literature. We also study the effect of delayed harvesting on the constancy stability of the controlled populations.