Predictions of Malaysia Age-Specific Fertility Rates using the Lee-Carter and the Functional Data Approaches

S. N. Shair, N. Shaadan, Nur Amalia Badrina Meor Amirudin Fikri, Nur A’thiqah Binti Mohd A’kashalf
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Abstract

Global fertility has been experiencing a significant decline, reaching towards the replacement ratio. This trend, coupled with increasing life expectancies, has led to the emergence of an ageing population. In this study, we delve into an analysis of fertility patterns among Malaysian women, considering both their childbearing age and ethnic groups. A comprehensive 63-year fertility dataset, from 1958 to 2020, were obtained from the Department of Statistics Malaysia.  These data were fitted into the Lee-Carter model and its modified version, which is the functional data model. The models were evaluated using the out-sample forecast error measures. Results indicate that the third-order functional data model able to capture most of variation present in the actual data, consequently outperforming the Lee-Carter model in forecasting fertility rates among Chinese and Indian populations. The 20-year forecasts reveal a noteworthy shift in maternal ages of the highest births to older ages suggesting a trend towards delayed pregnancies among women. It is predicted that the Malay total fertility rates will likely fall to below the replacement level reaching 1.71 in 2040 whereas Chinese and Indian total fertility rates will substantially decrease to the lowest level in history below 1.0 which are 0.54 and 0.70 respectively. The evolution in Malaysian fertility rates is an alarming fact as, together with low mortality rates, it may impact the Malaysian population structure in future. Proactive policy measures are urgently needed to address these demographic shifts.
利用李-卡特法和功能数据法预测马来西亚各年龄段的生育率
全球生育率大幅下降,已接近更替率。这一趋势加上预期寿命的延长,导致了人口老龄化的出现。在本研究中,我们深入分析了马来西亚妇女的生育模式,同时考虑了她们的生育年龄和种族群体。我们从马来西亚统计局获得了从 1958 年到 2020 年 63 年的综合生育数据集。 这些数据被拟合到李-卡特模型及其修正版(即功能数据模型)中。使用样本外预测误差指标对模型进行了评估。结果表明,三阶函数数据模型能够捕捉到实际数据中的大部分变化,因此在预测华裔和印度裔人口的生育率方面优于 Lee-Carter 模型。20 年的预测结果显示,高龄产妇的生育年龄明显偏大,这表明妇女有推迟怀孕的趋势。据预测,马来人的总和生育率可能会下降到更替水平以下,2040 年将达到 1.71,而华人和印度人的总和生育率将大幅下降到 1.0 以下的历史最低水平,分别为 0.54 和 0.70。马来西亚生育率的变化是一个令人担忧的事实,因为它与低死亡率一起,可能会影响马来西亚未来的人口结构。迫切需要采取积极的政策措施来应对这些人口结构的变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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