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.
| ISBN: | 9789811935473 |
| Publication date: | 18th September 2022 |
| Author: | Ryo Oizumi |
| Publisher: | Springer Verlag, Singapore |
| Format: | Paperback |
| Pagination: | 101 pages |
| Series: | SpringerBriefs in Population Studies |
| Genres: |
Population and demography Applied mathematics Life sciences: general issues |
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.
Population Dynamics Based on Individual Stochasticity features in the following genres: Population and demography, Applied mathematics, Life sciences: general issues
Population Dynamics Based on Individual Stochasticity is available in Paperback
Population Dynamics Based on Individual Stochasticity was written by Ryo Oizumi and published by Springer Verlag, Singapore
Population Dynamics Based on Individual Stochasticity has 101 pages
Yes it is part of SpringerBriefs in Population Studies series
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