P. Braunsteins, S. Hautphenne, C. Minuesa Abril

Population-size-dependent branching processes are models which describe the evolution of populations where individuals give birth independently of each other according to a probability distribution which depends on the current population size. A special case is the branching process with a carrying capacity, which is an appropriate model for populations with logistic growth, whose size tends to fluctuate around a threshold value corresponding to the maximum number of individuals that the ecosystem can support in view of its resources.

In this work, we propose an estimator for the mean of the offspring distribution at each population size based on the observation of the number of individuals up to a certain generation, and we derive its asymptotic properties. Since those processes become extinct almost surely, this requires us to study the corresponding estimators for the Q-process, which corresponds to the original process conditional on not becoming extinct in a distant future.

Keywords: branching process, population-size-dependence, inference, carrying capacity


RM-1 Ramiro Melendreras Award
September 3, 2019  4:50 PM
I3L1. Georgina Blanes building

Other papers in the same session

Cookie policy

We use cookies in order to be able to identify and authenticate you on the website. They are necessary for the correct functioning of it, and therefore they can not be disabled. If you continue browsing the website, you are agreeing with their acceptance, as well as our Privacy Policy.

Additionally, we use Google Analytics in order to analyze the website traffic. They also use cookies and you can accept or refuse them with the buttons below.

You can read more details about our Cookie Policy and our Privacy Policy.