Sensitivity Analysis: Matrix Methods in Demography and Ecology
This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate popu...
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| Format: | Online |
| Langue: | anglais |
| Publié: |
Springer Nature
2021
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| Accès en ligne: | 1007058 |
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| _version_ | 1869523346187616256 |
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| author | Caswell, Hal |
| author_browse | Caswell, Hal |
| author_facet | Caswell, Hal |
| author_sort | Caswell, Hal |
| collection | Directory of Open Access Books |
| description | This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics. ; This open access book provides a comprehensive presentation of sensitivity analysis for demographic models Applicable to populations of humans, other animals, and plants Develops mathematical theory and shows examples of application Considers all types of population models (linear and nonlinear, deterministic and stochastic, age-classified and stage-classified) |
| format | Online |
| id | doab-20.500.12854ir-27960 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-279602025-07-21T15:58:14Z Sensitivity Analysis: Matrix Methods in Demography and Ecology Caswell, Hal Social sciences Demography Statistics Community ecology, Biotic Biomathematics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics. ; This open access book provides a comprehensive presentation of sensitivity analysis for demographic models Applicable to populations of humans, other animals, and plants Develops mathematical theory and shows examples of application Considers all types of population models (linear and nonlinear, deterministic and stochastic, age-classified and stage-classified) 2021-02-10T13:19:33Z 2021-02-10T13:19:33Z 2020-03-18 13:36:15 2020-04-01T09:03:33Z 2019 book 1007058 OCN: 1096327092 http://library.oapen.org/handle/20.500.12657/23100 https://directory.doabooks.org/handle/20.500.12854/27960 eng Demographic Research Monographs open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/23100/1/1007058.pdf https://library.oapen.org/bitstream/20.500.12657/23100/1/1007058.pdf https://library.oapen.org/bitstream/20.500.12657/23100/1/1007058.pdf Springer Nature 10.1007/978-3-030-10534-1 10.1007/978-3-030-10534-1 9fa3421d-f917-4153-b9ab-fc337c396b5a 299 Cham open access |
| spellingShingle | Social sciences Demography Statistics Community ecology, Biotic Biomathematics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences Caswell, Hal Sensitivity Analysis: Matrix Methods in Demography and Ecology |
| title | Sensitivity Analysis: Matrix Methods in Demography and Ecology |
| title_full | Sensitivity Analysis: Matrix Methods in Demography and Ecology |
| title_fullStr | Sensitivity Analysis: Matrix Methods in Demography and Ecology |
| title_full_unstemmed | Sensitivity Analysis: Matrix Methods in Demography and Ecology |
| title_short | Sensitivity Analysis: Matrix Methods in Demography and Ecology |
| title_sort | sensitivity analysis matrix methods in demography and ecology |
| topic | Social sciences Demography Statistics Community ecology, Biotic Biomathematics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences |
| topic_facet | Social sciences Demography Statistics Community ecology, Biotic Biomathematics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences |
| url | 1007058 |
| work_keys_str_mv | AT caswellhal sensitivityanalysismatrixmethodsindemographyandecology |