Abstract
With the rapid development of the economy, the problem of population aging has become increasingly prominent. To analyse the key factors affecting population aging effectively and predict the development trend of population aging timely are of great significance for formulating relevant policies scientifically and reasonably, which can mitigate the effects of population aging on society. This paper analyses the current situation of population aging in Wuhan of China and discusses the main factors affecting the population aging quantitatively, and then establishes a combination prediction model to forecast the population aging trend. Firstly, considering the attribute values of the primary influence factors are multi-source heterogeneous data (the real numbers, interval numbers and fuzzy linguistic variables coexist), a two-tuple correlation coefficient analysis method is proposed to rank the importance of the influencing factors and to select the main influencing factors. Secondly, a combination prediction model named Multiple Linear Regression Analysis-Autoregressive Integrated Moving Average is established to predict the number and the proportion of aging population in Wuhan. By using the statistical data of Wuhan in the past 20 years, this combination prediction model is used for empirical analysis, and a prediction result of the number and the proportion of aging people in Wuhan in the future is obtained. Based on these quantitative analysis results, we propose some countermeasures and suggestions on how to alleviate the population aging of Wuhan from aspects of economic development, pension security system design and policy formulation, which provide theoretical basis and method reference for relevant population management departments to make scientific decisions.







Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Asim A, Nasar R, Rashid T (2019) Correlation coefficient of intuitionistic hesitant fuzzy sets based on informational energy and their applications to clustering analysis. Soft Comput 23:10393–10406
Chen W (2016) China’s demographic estimation using the generalized stable population model. Popul J 38(1):5–13
Chen MH, Hao GC (2014) Research on regional difference decomposition and influence factors aging in China. China Popul Resour Environ 24(4):136–141
Chen YG, Yu B (2006) Three models for predicting population growth—theoretical foundation, application methods, and revised expressions. J Central China Normal Univ (Nat Sci) 40(3):452–456
Chen YH, Li YS, Su CG (2012) Radial basis function neural network model applied in the forecast of population aging taking Hunan Province as an example. Econ Geogr 32(4):34–39
Chen GH, Cai YF, Li F (2014) The prediction of China’s population aging trend and analysis of the structure based on nonparametric auto-regression model. Northwest Popul 4:81–87
Geng XL, Qiu HQ, Gong XM (2017) An extended 2-tuple linguistic DEA for solving MAGDM problems considering the influence relationships among attributes. Comput Ind Eng 112:135–146
Gillen P, Spore D (1994) Functional and residential status transition among nursing home residents. J Gerontol: Med Sci 1:33–42
Gong YL, Zhang DS, Wu XQ (2007) Nonparametric autoregression prediction model on population growth rate. Appl Stat Manag 26(1):38–42
Grose SD, King ML (1991) The locally unbiased two-sided Durbin–Watson test. Econ Lett 35:401–407
He JN (2011) Principal component analysis on the indirected influencing factors of population aging in Shanxi Province. Future Dev 34(6):108–111
Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8(6):746–752
Herrera F, Martinez L, Sanchez PJ (2005) Managing non-homogeneous information in group decision making. Eur J Oper Res 166(1):115–132
Hou DQ (2012) Prediction and analysis of population in Hubei Province based on Leslie model. Wuhan University of Technology, Wuhan
Hu AG, Liu SL, Ma ZG (2012) Population Aging, population growth and economic growth: evidence from China’s provincial panel data. Popul Res 36(3):14–26
Jiang YY (2012) Population prediction based on age shift algorithm. Stat Decis 13:82–84
Lee HH, Shin K (2019) Nonlinear effects of population aging on economic growth. Jpn World Econ 51:100963
Li JM (2016) Analysis and prediction of Chinese aging based on Bayesian hierarchy spatio-temporal model. Stat Res 33(8):89–94
Li LL (2017) Analysis on regional differences and influencing factors of population aging in China. J Huazhong Agric Univ (Soc Sci Ed) 6:94–102
Li P, Rao CJ, Goh M, Yang ZQ (2021) Pricing strategies and profit coordination under a double echelon green supply chain. J Clean Prod 278:123694
Liang X (2017) Prediction of aging population based on grey prediction model. Harbin Institute of Technology, Harbin
Liu YZ (2016) The total population and structure of China based on Leslie model. Renmin University of China, Beijing
Liu PD, Chen SM (2018) Multiattribute group decision making based on intuitionistic 2-tuple linguistic information. Inf Sci 430–431:599–619
Lutz W, O’neill BC, Scherbov S (2003) Europe’s population at a turning point. Science 299(5615):1991–1992
Lv SG, Xuan DP (2012) The prediction of aging coefficient in Beijing. Stat Res 29(3):27–31
Lyons AC, Grable JE, Joo SH (2018) A cross-country analysis of population aging and financial security. J Econ Ageing 12:96–117
Ma ZL, Shao CF, Ma SQ et al (2011) Constructing road safety performance indicators using Fuzzy Delphi Method and Grey Delphi Method. Expert Syst Appl 38(3):1509–1514
Mao SH, Zhu M, Wang XP, Xiao XP (2020) Grey–Lotka–Volterra model for the competition and cooperation between third-party online payment systems and online banking in China. Appl Soft Comput 95:106501
Meng C (2012) Population prediction based on leslie matrix and time series analysis. Jilin University, Changchun
Modigliani F (2005) Rethinking pension reform. Cambridge University Press, Oxford
Mori YC, Suzuki TJ (2018) Generalized ridge estimator and model selection criteria in multivariate linear regression. J Multivariate Anal 165:243–261
Muhuri PK, Gupta PK (2020) A novel solution approach for multiobjective linguistic optimization problems based on the 2-tuple fuzzy linguistic representation model. Appl Soft Comput 95:106395
Peng JJ, Tian C, Zhang WY, Zhang S, Wang JQ (2020) An integrated multi-criteria decision-making framework for sustainable supplier selection under picture fuzzy environment. Technol Econ Dev Econ 26(3):573–598
Poornima S, Pushpalatha M (2019) Drought prediction based on SPI and SPEI with varying timescales using LSTM recurrent neural network. Soft Comput 23:8399–8412
Qu SJ, Zhou YY, Zhang YL, Wahab MIM, Zhang G, Ye YY (2019) Optimal strategy for a green supply chain considering shipping policy and default risk. Comput Ind Eng 131:172–186
Rao CJ, Yan BJ (2020) Study on the interactive influence between economic growth and environmental pollution. Environ Sci Pollut Res 27(31):39442–39465
Rao CJ, Zhao Y (2009) Multi-attribute decision making model based on optimal membership and relative entropy. J Syst Eng Electron 20(3):537–542
Rao CJ, Goh M, Zhao Y et al (2015) Location selection of city logistics centers under sustainability. Transport Res Part D: Transport Environ 36:29–44
Rao CJ, Zhao Y, Zheng JJ (2016a) An extended uniform-price auction mechanism of homogeneous divisible goods: supply optimisation and non-strategic bidding. Int J Prod Res 54(13):4028–4042
Rao CJ, Zheng JJ, Wang C et al (2016b) A hybrid multi-attribute group decision making method based on grey linguistic 2-tuple. Iranian Journal of Fuzzy Systems 13(2):37–59
Rao CJ, Goh M, Zheng JJ (2017a) Decision mechanism for supplier selection under sustainability. Int J Inf Technol Decis Mak 16(1):87–115
Rao CJ, Xiao XP, Goh M, Zheng JJ, Wen JH (2017b) Compound mechanism design of supplier selection based on multi-attribute auction and risk management of supply chain. Comput Ind Eng 105:63–75
Rao CJ, He YW, Wang XL (2020a) Comprehensive evaluation of non-waste cities based on two-tuple mixed correlation degree. Int J Fuzzy Syst. https://doi.org/10.1007/40815-020-00975-x(in press)
Rao CJ, Lin H, Liu M (2020b) Design of comprehensive evaluation index system for P2P credit risk of “three rural” borrowers. Soft Comput 24(15):11493–11509
Rao CJ, Liu M, Goh M, Wen JH (2020c) 2-stage modified random forest model for credit risk assessment of P2P network lending to “Three Rurals” borrowers. Appl Soft Comput 95:106570
Santos DSD, de Oliveira JFL, Neto PSGD (2019) An intelligent hybridization of ARIMA with machine learning models for time series forecasting. Knowl-Based Syst 175:72–86
Schön M, Stähle N (2020) When old meets young? Germany’s population ageing and the current account. Econ Model 89:315–336
Smit MGD, Kater BJ, Jak RG et al (2006) Translating bioassay results to field population responses using a Leslie-matrix model for the marine amphipod Corophium volutator. Ecol Model 196(3–4):515–526
Sun L, Wu SP (2015) An empirical study on the impact of population aging on household consumption in China. Stat Decis 9:98–101
Tian C, Peng JJ, Zhang S, Zhang WY, Wang JQ (2019) Weighted picture fuzzy aggregation operators and their applications to multi-criteria decision-making problems. Comput Ind Eng 137:106037
Tian C, Peng JJ, Zhang WY, Zhang SJ, Wang Q (2020) Tourism environmental impact assessment based on improved AHP and picture fuzzy PROMETHEE II methods. Technol Econ Dev Econ 26(2):355–378
Wang L (2004) International comparison study on the aged trend and reasons in China. Popul Econ 1:6–11
Wang GX, Gan YH (2017) China’s aging population and regional economic growth. Chin J Popul Sci 3:30–42
Wang YM, Liu CY (2012) Preliminary research on aging population and flexible retirement policy of Shanghai. IERI Procedia 2:455–459
Wang LD, Wang YJ, Pedrycz W (2019) Hesitant 2-tuple linguistic Bonferroni operators and their utilization in group decision making. Appl Soft Comput 77:653–664
Wang RH, Nan GF, Chen L, Li MQ (2020a) Channel integration choices and pricing strategies for competing dual-channel retailers. IEEE Trans Eng Manage. https://doi.org/10.1109/TEM.2020.3007347(in press)
Wang TF, Shi P, Wang GX (2020b) Solving fuzzy regression equation and its approximation for random fuzzy variable and their application. Soft Comput 24:919–933
Wei J, Ni XM, He AS (2018) Study on the relationship between population policy and economic growth in the context of aging. Syst Eng-Theory Pract 38(2):337–350
Wiener JM, Tilly J (2002) Population ageing in the United States of America: implications for public programmes. Int J Epidemiol 31(4):776–781
Wuhan Bureau of Statistics (2020) Wuhan Statistical Yearbook of Wuhan. http://www.whtj.gov.cn/. Accessed 29 March 2020
Xiao QZ, Gao MY, Xiao XP, Goh M (2020a) A novel grey Riccati–Bernoulli model and its application for the clean energy consumption prediction. Eng Appl Artif Intell 95:103863
Xiao QZ, Shan MY, Gao MY, Xiao XP, Goh M (2020b) Parameter optimization for nonlinear grey Bernoulli model on biomass energy consumption prediction. Appl Soft Comput 95:106538
Xiao QZ, Shan MY, Xiao XP, Rao CJ (2020c) Evaluation model of industrial operation quality under multi-source heterogeneous data information. Int J Fuzzy Syst 22(2):522–547
Xiao XP, Duan HM, Wen JH (2020d) A novel car-following inertia gray model and its application in forecasting short-term traffic flow. Appl Math Model 87:546–570
Xie WY, Xu ZS, Ren ZL, Herrera-Viedma E (2020) The probe for the weighted dual probabilistic linguistic correlation coefficient to invest an artificial intelligence project. Soft Comput 24:15389–15408
Xu X, Zhao Y, Zhang X (2017) Spatial variation of population aging and associated factors in Jiangsu Province. Sci Geogr Sin 3737(12):1859–1866
You XY, You JX, Liu HC, Zhen L (2015) Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information. Expert Syst Appl 42:1906–1916
Zhang Y (2009) Research on status, trend and strategy of population aging in Gansu Province. Lanzhou University, Lanzhou
Zhang H (2013) Some interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making. Appl Math Model 37(6):4269–4282
Zhang XY, Ullah A, Zhao SW (2016) On the dominance of Mallows model averaging estimator over ordinary least squares estimator. Econ Lett 142:69–73
Zhao W, Tao T, Zio E (2015) System reliability prediction by support vector regression with analytic selection and genetic algorithm parameters selection. Appl Soft Comput 30:792–802
Zhu XZ, Pang FY (2009) Application of autoregressive and logistic discrete model in Chinese population forecast. Stat Decis 13(13):157–159
Zhu JM, Wu P, Chen HY et al (2019) Carbon price forecasting with variational mode decomposition and optimal combined model. Physica A 519:140–158
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Nos. 71671135, 72071150), the 2019 Fundamental Research Funds for the Central Universities (WUT: 2019IB013), and the China Scholarship Council (CSC) scholarship (Grant No. 201906955002).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Ethical approval
This article does not contain any studies with human participants performed by any of the authors.
Informed consent
Informed consent was obtained from all individual participants included in the study.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Rao, C., Gao, Y. Influencing factors analysis and development trend prediction of population aging in Wuhan based on TTCCA and MLRA-ARIMA. Soft Comput 25, 5533–5557 (2021). https://doi.org/10.1007/s00500-020-05553-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-020-05553-9