The cumulative distance from an observed to a stable age structure.

作者: Joel E. Cohen

DOI: 10.1137/0136015

关键词: Square matrixExponential functionStatisticsAge structurePopulationAge categoriesMathematicsEigenvalues and eigenvectorsBirth–death processVital rates

摘要: In a closed, unisexual, age-structured population with age-specific birth and death rates which are constant in time, the vector describing census by age categories will, as time increases, approach proportionality to stable structure implied vital rates. This is dominant eigenvector of demographic projection matrix carries out action on We show that elementwise convergence zero discounted deviations from complete exponential. The sum, over all signed may be easily calculated fundamental based matrix. These results proved for any primitive nonnegative square context, these suggest alternatives an index has been used measure distance observed structure.

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