Dynamics of populations with delayed density dependent birth rate regulation

This study focuses on the Moran-Ricker model with time lag for the dynamics of limited homogeneous population. The reduction of required resources is caused by their consumption by the previous generation, which corresponds to delayed density dependence. The model shows multimodality. The population can demonstrate different types of dynamics (i.e., stable, periodic, or chaotic) at the same values of demographic parameters. The Moran-Ricker model with time lag can successfully describe the population dynamics of some insect species. The point estimations of population parameters are statistically significant. The obtained point estimates that correspond to real population dynamics are located in a quasi-periodic fluctuation area and adjoin other dynamic modes. A variation of the values of demographic parameters or random fluctuations of the current population size can lead to dynamic mode change. The investigation of the possible model dynamic modes near the found point estimation of parameters is necessary to identify the dynamic modes between which transition may occur.