Population Dynamics Based on Individual Stochasticity - Couverture souple

Oizumi, Ryo

Couverture souple

ISBN 10 : 9811935475 ISBN 13 : 9789811935473

Editeur : Springer, 2022

Synopsis

This book demonstrates that population structure and dynamics can be reconstructed by stochastic analysis. Population projection is usually based on age-structured population models. These models consist of age-dependent fertility and mortality, whereas birth and death processes generally arise from states of individuals. For example, a number of seeds are proportional to tree size, and amount of income and savings are the basis of decision making for birth behavior in human beings. Thus, even though individuals belong to an identical cohort, they have different fertility and mortality. To treat this kind of individual heterogeneity, stochastic state transitions are reasonable rather than the deterministic states. This book extends deterministic systems to stochastic systems specifically, constructing a state transition model represented by stochastic differential equations. The diffusion process generated by stochastic differential equations provides statistics determining population dynamics, i.e., heterogeneity is incorporated in population dynamics as its statistics. Applying this perspective to demography and evolutionary biology, we can consider the role of heterogeneity in life history or evolution. These concepts are provided to readers with explanations of stochastic analysis.

A propos du livre

À propos de l'auteur

Ryo Oizumi, National Institute of Population and Social Security Research

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 9811935475
• ISBN 13: 9789811935473
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 112
• Coordonnées du fabricant: GPSR Kontakt; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Allemagne