FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS

Fractals Pub Date : 2024-05-23 DOI:10.1142/s0218348x24500828
YARONG ZHANG, NAVEED ANJUM, DAN TIAN, ABDULRAHMAN ALI ALSOLAMI
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Abstract

One of the major challenges in population economics is accurately predicting population size. Incorrect predictions can lead to ineffective population control policies. Traditional differential models assume a smooth change in population, but this assumption is invalid when measuring population on a small-time scale. To address this change, we developed two-scale fractal population dynamics that can accurately predict population size with minimal experimental data. The Taylor series method is used to reveal the population’s dynamical properties, and the Padé technology is adopted to accelerate the convergence rate.

利用双尺度分形人口动力学进行快速准确的人口预测及其在人口经济学中的应用
人口经济学的主要挑战之一是准确预测人口规模。错误的预测会导致无效的人口控制政策。传统的微分模型假定人口会发生平滑变化,但在小时间尺度上测量人口时,这一假定是无效的。为了解决这一变化,我们开发了双尺度分形人口动力学,可以用最少的实验数据准确预测人口数量。我们采用泰勒级数法来揭示种群的动态特性,并采用 Padé 技术来加快收敛速度。
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