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Fig 1.

Historical changes of population age structures in China, India and Vietnam from 1960 to 2016.

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Fig 1 Expand

Fig 2.

Natural population growth rates of China, India and Vietnam from 1960 to 2015.

Data Source: World Bank (2018).

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Fig 3.

Birth rates of China, India and Vietnam from 1960 to 2015.

Data Source: World Bank (2018).

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Fig 4.

Human development index (HDI) of China, India & Vietnam from 1960 to 2015.

Data source: Human Development Report of United Nations Human Development Program and World Bank, http://hdr.undp.org/en/composite/HDI.

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Fig 4 Expand

Table 1.

Comparisons of prediction models based on statistical principles.

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Table 1 Expand

Table 2.

Comparisons and analysis of the four prediction models.

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Fig 5.

Procedures for conducting forecasting models for compositional data.

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Table 3.

Description of the data transformation methods for compositional data and forecasting models.

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Table 4.

CoDa-RMSE and CoDa-MAPE (in brackets) values of NNETTS combined with different data transformation methods in the test set.

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Table 5.

CoDa-RMSE and CoDa-MAPE comparisons of alternative forecasting models using compositional data.

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Fig 6.

Comparisons of the forecasting performance of all the alternative models for China.

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Fig 7.

Comparisons of the forecasting performance of all the alternative models for India.

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Fig 8.

Comparison of the forecasting performance of all the alternative models for Vietnam.

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Fig 9.

Performance of the best-performed forecasting models for three countries.

Three columns indicate the estimated population age propositions of the young, middle-aged and old populations from left to right. Three rows indicate the related results for China, India and Vietnam from top to bottom. Detailed information refers to S1S72 Figs.

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Table 6.

White noise tests for error series of three age periods for China, India and Vietnam.

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Table 7.

Forecasting Results of the population structures for China, India, and Vietnam (Unit: %).

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Fig 10.

Proportions of middle-aged people (aged 15–64) and Future Trend of China, India, and Vietnam from 1960 to 2030.

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Fig 11.

Proportion of Young People (aged 0–14) and Future Trend of China, India, and Vietnam from 1960 to 2030.

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Fig 12.

Proportion of Old People (aged older than 65) and Future Trend of China, India, and Vietnam from 1960 to 2030.

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Fig 12 Expand