LEADER 04908nam 22007335 450 001 9910337740803321 005 20251113192452.0 010 $a3-030-10534-2 024 7 $a10.1007/978-3-030-10534-1 035 $a(CKB)4100000007823605 035 $a(DE-He213)978-3-030-10534-1 035 $a(MiAaPQ)EBC5746520 035 $a(Au-PeEL)EBL5746520 035 $a(OCoLC)45678227 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/27960 035 $a(ODN)ODN0010073534 035 $a(oapen)doab27960 035 $a(EXLCZ)994100000007823605 100 $a20190402d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSensitivity Analysis: Matrix Methods in Demography and Ecology /$fby Hal Caswell 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVIII, 299 p. 134 illus.) 225 1 $aDemographic Research Monographs, A Series of the Max Planck Institute for Demographic Research,$x2197-9286 311 08$a3-030-10533-4 327 $aI Introductory and methodological: 1 Introduction. Sensitivity analysis: what and why? -- 2 Matrix calculus and notation -- II Linear models: 3 The sensitivity of population growth rate: three approaches -- 4 Sensitivity analysis of longevity and life disparity -- 5 Individual stochasticity and implicit age dependence -- 6 Age[1]stage-classified models -- III Time-varying and stochastic models: 7 Transient population dynamics -- 8 Periodic models -- 9 LTRE decomposition of the stochastic growth rate -- IV Nonlinear models: 10 Sensitivity analysis of nonlinear demographic models -- V Markov chains: 11 Sensitivity analysis of discrete Markov chains -- 12 Sensitivity analysis of continuous Markov chains. 330 $aThis open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics. . 410 0$aDemographic Research Monographs, A Series of the Max Planck Institute for Demographic Research,$x2197-9286 606 $aDemography 606 $aPopulation 606 $aSocial sciences$xStatistical methods 606 $aBiotic communities 606 $aPopulation biology 606 $aBiomathematics 606 $aPopulation and Demography 606 $aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy 606 $aCommunity and Population Ecology 606 $aMathematical and Computational Biology 615 0$aDemography. 615 0$aPopulation. 615 0$aSocial sciences$xStatistical methods. 615 0$aBiotic communities. 615 0$aPopulation biology. 615 0$aBiomathematics. 615 14$aPopulation and Demography. 615 24$aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. 615 24$aCommunity and Population Ecology. 615 24$aMathematical and Computational Biology. 676 $a304.6 676 $a003 686 $aMAT003000$aSCI020000$aSOC006000$aSOC027000$2bisacsh 700 $aCaswell$b Hal$4aut$4http://id.loc.gov/vocabulary/relators/aut$0486819 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910337740803321 996 $aSensitivity Analysis: Matrix Methods in Demography and Ecology$92119906 997 $aUNINA