From size to age and type structure dependent branching: a first step to sexual reproduction in general population processes

Peter Jagers, Fima C. Klebaner

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Abstract

Classical branching processes, even the most general, share the property that individuals are supposed to multiply independently of one another, at least given some environment that in its turn is supposed to be unaffected by the population. Only more recently have birth-and-death and branching processes been considered which allow individual reproduction to be influenced by population size. The first results, due to Klebaner [14], deal with Galton-Watson processes. Work on general, age-structured processes and habitats with a threshold, a so called carrying capacity, came only decades later, cf. [5, 11, 13, 15, 16, 21], inspired by deterministic population dynamics [6–8, 22].
Original languageEnglish
Title of host publicationBranching Processes and Their Applications
EditorsInes M. del Puerto, Miguel Gonzalez, Cristina Gutierrez, Rodrigo Martinez, Carmen Minuesa, Manuel Molina, Manuel Mota, Alfonso Ramos
Place of PublicationSwitzerland
PublisherSpringer
Pages137-148
Number of pages12
ISBN (Electronic)9783319316413
ISBN (Print)9783319316390
DOIs
Publication statusPublished - 7 Sep 2016
EventWorkshop on Branching Processes and their Applications 2015 - University of Extremadura, Badajoz, Spain
Duration: 7 Apr 201510 Apr 2015
Conference number: 3rd
http://branching.unex.es/wbpa15/

Publication series

NameLecture Notes in Statistics
PublisherSpringer
Volume219
ISSN (Print)0930-0325
ISSN (Electronic)2197-7186

Workshop

WorkshopWorkshop on Branching Processes and their Applications 2015
Abbreviated titleWBPA 2015
CountrySpain
CityBadajoz
Period7/04/1510/04/15
Internet address

Cite this

Jagers, P., & Klebaner, F. C. (2016). From size to age and type structure dependent branching: a first step to sexual reproduction in general population processes. In I. M. del Puerto, M. Gonzalez, C. Gutierrez, R. Martinez, C. Minuesa, M. Molina, M. Mota, ... A. Ramos (Eds.), Branching Processes and Their Applications (pp. 137-148). (Lecture Notes in Statistics; Vol. 219). Switzerland: Springer. https://doi.org/10.1007/978-3-319-31641-3_8