SpringerBriefs in Population Studies Population Dynamics Based on Individual Stochasticity - Ryo Oizumi Kartoniert (TB)

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 tre at 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.