TY  - BOOK
AU  - Oizumi,Ryo
TI  - Population Dynamics Based on Individual Stochasticity
T2  - Population Studies of Japan,
SN  - 9789811935480
U1  - 304.6 23
PY  - 2022///
CY  - Singapore
PB  - Springer Nature Singapore, Imprint: Springer
KW  - Demography
KW  - Population
KW  - Mathematics
KW  - Social sciences
KW  - Aging
KW  - Population-Economic aspects
KW  - Population and Demography
KW  - Mathematics in the Humanities and Social Sciences
KW  - Ageing
KW  - Population Economics
N1  - Introduction : Stochasticity in Demography -- 1. Deterministic and Stochastic Population Models -- 2. Linear Structured Population based on SDE -- 3. Nonlinear Structured Population Models -- 4. Life-History Evolution and Adaptive Stochastic Controls -- 5 Application to External Stochasticity -- Epilogue: Population Dynamics from Perspective of Individual Diversity
N2  - 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
UR  - https://doi.org/10.1007/978-981-19-3548-0
ER  -