Sensitivity Analysis in Multiregional Demographic Models
- 1 June 1977
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 9 (6) , 653-674
- https://doi.org/10.1068/a090653
Abstract
The theory of multiregional mathematical demography investigates how fertility, mortality, and migration combine to shape the growth of multiregional population systems. Population dynamics have been studied for cases where the structural parameters, namely the age-specific rates of fertility, mortality, and migration, are fixed. This paper addresses the question of how the system behaves under changing structural parameters. By applying the technique of matrix differentiation, sensitivity functions are derived which link changes in multiregional life-table statistics and in population projections to changes in the age-specific rates. A review of the technique, which may be used for the sensitivity analysis of any matrix model, is given in the appendix.Keywords
This publication has 9 references indexed in Scilit:
- SPATIAL POPULATION DYNAMICSPapers in Regional Science, 1976
- Generalization of Leverrier's algorithm to polynomial matrices of arbitrary degreeIEEE Transactions on Automatic Control, 1975
- The Mathematics of Multiregional Demographic GrowthEnvironment and Planning A: Economy and Space, 1973
- Perturbation and sensitivity analysis of an urban modelPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1971
- On the sensitivity of the intrinsic growth rate to changes in the age-specific birth and death ratesTheoretical Population Biology, 1971
- Linkages of Intrinsic to Age-Specific RatesJournal of the American Statistical Association, 1971
- Some Theorems on Matrix Differentiation with Special Reference to Kronecker Matrix ProductsJournal of the American Statistical Association, 1969
- Some Applications of Matrix Derivatives in Multivariate AnalysisJournal of the American Statistical Association, 1967
- Symbolic Matrix DerivativesThe Annals of Mathematical Statistics, 1948