The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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A study on prediction for reflecting variation of fertility rate by province under ultra-low fertility in Korea

초저출산율에 따른 시도별 출산율 변동을 반영한 예측 연구

  • Oh, Jinho (Department of Mathematical Sciences, HanBat National University)
  • 오진호 (한밭대학교 공과대학 수리과학과)
  • Received : 2020.09.17
  • Accepted : 2020.12.01
  • Published : 2021.02.28
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Abstract

This paper compares three statistical models that examine the relationship between national and provincespecific fertility rates. The three models are two of the regression models and a cointegration model. The regression model is by substituting Gompit transformation for the cumulative fertility rate by the average for ten years, and this model applies the raw data without transformation of the fertility data. A cointegration model can be considered when fitting the unstable time series of fertility rate in probability process. This paper proposes the following when it is intended to derive the relation of non-stationary fertility rate between the national and provinces. The cointegrated relationship between national and regional fertility rates is first derived. Furthermore, if this relationship is not significant, it is proposed to look at the national and regional fertility rate relationships with a regression model approach using raw data without transformation. Also, the regression model method of substituting Gompit transformation data resulted in an overestimation of fertility rates compared to other methods. Finally, Seoul, Busan, Daegu, Incheon, Gwangju, Daejeon and Gyeonggi province are expected to show a total fertility rate of 1.0 or less from 2025 to 2030, so an urgent and efficient policy to raise this level is needed.

본 논문은 전국과 시도별 출산율의 관계를 규명하는 세 가지 통계적 모형을 비교한다. 세 모형은 10년간 평균 연령별 누적출산율의 Gompit변환 자료를 대입한 회귀모형, 연령별 출산율 자료 변환 없이 원자료를 적용한 회귀모형, 그리고 확률과정 관점에서 불안정한 연령별 출산율 시계열을 적합할 경우 고려할 수 있는 공적분 모형이다. 본 논문은 전국과 지역간 비정상성 출산율의 관계를 도출하고자 할 때 다음을 제안한다. 전국과 지역 출산율의 공적분 관계식를 선행적으로 도출한다. 더 나아가 이 관계가 유의하지 않으면 변환 없는 원자료를 활용한 회귀모형 접근으로 전국과 시도별 출산율 관계를 살펴보는 것을 제안한다. 또한 Gompit 변환 자료를 대입한 회귀모형 방법은 출산율이 다른 방식과 비교해 과대추정되는 결과가 도출되었다. 끝으로 서울, 부산, 대구, 인천, 광주, 대전, 경기는 2025-2030년까지 타 지역과 다르게 합계출산율이 1.0명 이하로 예측되므로 시급하고 효율성 있는 출산율 제고정책이 필요하다고 판단된다.

Keywords

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