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The application of Leslie matrices in demographic research is considered in this paper. The Leslie matrix is first proposed in the 1940s and gained popularity in the mid-1960s, becoming fundamental tool for predicting population dynamics.…

最优化与控制 · 数学 2024-09-24 O. A. Malafeyev , T. R. Nabiev , N. D. Redinskikh

Infinite Leslie matrices, introduced by Demetrius forty years ago are mathematical models of age-structured populations defined by a countable infinite number of age classes. This article is concerned with determining solutions of the…

种群与进化 · 定量生物学 2015-03-10 João Alves , António Bravo , Henrique Oliveira

We introduce a new predator-prey model by replacing the growth and predation constant by a square matrix, and the population density as a population vector. The classical Lotka-Volterra model describes a population that either modulates or…

种群与进化 · 定量生物学 2024-12-31 Pico Gilman , Steven J. Miller , Daeyoung Son , Saad Waheed , Janine Wang

The depiction of populations - of humans or animals - as "population pyramids" is a useful tool for the assessment of various characteristics of populations at a glance. Although these visualisations are well-known objects in various…

Analyzing demographic data collected across multiple populations, time periods, and age groups is challenging due to the interplay of high dimensionality, demographic heterogeneity among groups, and stochastic variability within smaller…

应用统计 · 统计学 2025-12-12 Gregor Zens

Recent studies of gender bias in computing use large datasets involving automatic predictions of gender to analyze computing publications, conferences, and other key populations. Gender bias is partly defined by software-driven algorithmic…

计算机与社会 · 计算机科学 2022-10-18 Thomas J. Misa

Several demographic and health indicators, including the total fertility rate (TFR) and modern contraceptive use rate (mCPR), evolve similarly over time, characterized by a transition between stable states. Existing approaches for…

统计方法学 · 统计学 2025-04-09 Herbert Susmann , Leontine Alkema

The Box-Cox transformation can sometimes yield noticeable improvements in model simplicity, variance homogeneity and precision of estimation, such as in modelling and forecasting age-specific fertility. Despite its importance, there have…

应用统计 · 统计学 2016-06-20 Han Lin Shang

In this paper we develop a likelihood-free approach for population calibration, which involves finding distributions of model parameters when fed through the model produces a set of outputs that matches available population data. Unlike…

统计方法学 · 统计学 2022-02-07 Christopher Drovandi , Brodie Lawson , Adrianne L Jenner , Alexander P Browning

The link between age and migration propensity is long established, but existing models of country-level net migration ignore the effect of population age distribution on past and projected migration rates. We propose a method to estimate…

应用统计 · 统计学 2026-05-11 Nathan G. Welch , Hana Ševčíková , Adrian E. Raftery

The Curie-Weiss model, originally used to study phase transitions in statistical mechanics, has been adapted to model phenomena in social sciences where many agents interact with each other. Reconstructing the probability measure of a…

统计理论 · 数学 2025-07-24 Miguel Ballesteros , Ivan Naumkin , Gabor Toth

Analysing age-specific mortality, fertility, and migration patterns is a crucial task in demography with significant policy relevance. In practice, such analysis is challenging when studying a large number of subpopulations, due to small…

应用统计 · 统计学 2025-05-29 Gregor Zens

This paper sets out a forecasting method that employs a mixture of parametric functions to capture the pattern of fertility with respect to age. The overall level of cohort fertility is decomposed over the range of fertile ages using a…

应用统计 · 统计学 2019-09-23 Jason Hilton , Erengul Dodd , Jonathan J. Forster , Peter W. F. Smith , Jakub Bijak

In this paper, we introduce a general numerical method to approximate the reproduction numbers of a large class of multi-group, age-structured, population models with a finite age span. To provide complete flexibility in the definition of…

种群与进化 · 定量生物学 2024-03-21 Simone De Reggi , Francesca Scarabel , Rossana Vermiglio

The management of endangered species as metapopulations is becoming increasingly common. Diverse aspects of metapopulation dynamics and management have received attention in recent years. In particular, translocation of individuals between…

种群与进化 · 定量生物学 2007-11-20 Peter R. Law

The Lee Carter modelling framework is widely used because of its simplicity and robustness despite its inability to model specific cohort effects. A large number of extensions have been proposed that model cohort effects but there is no…

种群与进化 · 定量生物学 2010-03-10 Edouard Debonneuil

We analyse the effect of harvesting in a resource dependent age structured population model, deriving the conditions for the existence of a stable steady state as a function of fertility coefficients, harvesting mortality and carrying…

种群与进化 · 定量生物学 2007-05-23 Rui Dilao , Tiago Domingos , Elman M. Shahverdiev

In this paper we present a new modelling framework combining replicator dynamics (which is the standard model of frequency dependent selection) with the model of an age-structured population. The new framework allows for the modelling of…

种群与进化 · 定量生物学 2021-04-01 Krzysztof Argasinski , Mark Broom

We present a Bayesian method for characterizing the mating system of populations reproducing through a mixture of self-fertilization and random outcrossing. Our method uses patterns of genetic variation across the genome as a basis for…

A rapid decline in mortality and fertility has become major issues in many developed countries over the past few decades. A precise model for forecasting demographic movements is important for decision making in social welfare policies and…

机器学习 · 统计学 2024-12-30 Ka Kin Lam , Bo Wang
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