Natural Cubic Spline Method as a Method in Constructing a Life Table in Gegelang Village West Lombok

Authors

  • Andri Azmul Fauzi Universitas Mulawarman
  • Lalu Muhammad Ridwan Nahdlatul Wathan Mataram University
  • Dwi Agustini Nahdlatul Wathan Mataram University
  • Desi Febriani Putri Mulawarman University
  • Rinancy Tumilaar Mulawarman University
  • Asmaidi Asmaidi Mulawarman University
  • Indriasri Raming Mulawarman University

DOI:

https://doi.org/10.29303/emj.v7i1.215

Keywords:

Life Table, Life Expectancy Rate, Graduation

Abstract

This research aims to reconstruct a life table based on real data obtained in Gegelang Village, West Lombok. The data used in this research is the population in 2016, the death rate in 2014-2018 and the birth rate in 2014-2018. The first step taken was to compile a rough life table using the partial data situation and full data situation methods. Both methods are included in the maximum likelihood method. After carrying out calculations, different life expectancy figures are obtained. The respective calculation results were 62.21 years for the partial data situation method and 73.07 years for the full data situation method. Next, a graduation is carried out using the natural cubic spline method on the life table obtained from a rough life table model calculation. The graphic model produced by the rough life table is fluctuating so it is necessary to graduate using the natural cubic spline method to obtain a monotonically decreasing graph. The life table model chosen for graduation is a life table whose life expectancy is close to the life expectancy of West Lombok Regency in 2015, namely 65.1 years. After graduation, the new life expectancy was found to be 66.92 years.

References

Amin, N.F., Garancang, S., Abunawas, K. (2023). Konsep Umum Populasi dan Sampel Penelitian. Jurnal Pilar: Jurna; Kajian Islam Kontemporer, 14(1): 15-31.

Badan Pusat Statistik. (2005). Angka Harapan Hidup Indonesia. Jakarta (ID): Badan Pusat Statistik.

Brown RL. (1997). Introduction to the Mathematics of Demography (Third Edition). Winsted: Actex Publication.

Dewi, R., Pardede, M. (2021). Pengaruh Kemampuan Kerja, Motivasi dan Pengembangan Karier Terhadap Kinerja Karyawan PT. Bina Buana Semesta. Jurnal Ekonomi Bisnis Indonesia, 16(1):19-25.

Fan, J. dan Yao, Q. (2005). Nonlinear Time Series Nonparametric and Parametric Method. Canada: Springer Science.

Fauzi, A.A., Anggraeni, D.P., Ridwan, L.M. (2023). Quadratic Spline and Heligman-Pollard Methods in The Preparation of Life Tables in Gegelang Village West Lombok. Kubik: Jurnal Publikasi Ilmiah Matematika, 8(1): 12-23.

Ginting, D.I., Lubis, I. (2023). Pengaruh Angka Harapan Hidup dan Harapan Lama Sekolah Terhadap Indeks Pembangunan Manusia. Jurnal Bisnis Net, 6(2): 519-528.

London RL, Camilli SJ, Duncan I. (2014). Models for Quantifying Risk (Sixth Edition). Winsted: Actex Publication.

Muda, R., Koleangan, R., Kalangi, J. B. (2019). Pengaruh Angka Harapan Hidup, Tingkat Pendidikan dan Pengeluaran Perkapita terhadap Pertumbuhan Ekonomi di Sulawesi Utara pada Tahun 2003-2017. Jurnal Berkala Ilmiah Efisiensi, 19(1):44-55.

Wirosuhardjo K, Munir R, Kusumosuwidho S, Kartoyo A, Muliakusuma S. (1985). Kamus Istilah Demografi. Jakarta (ID): Pusat Pembinaan dan Pengembangan Bahasa.

Downloads

Published

2024-06-29

How to Cite

Fauzi, A. A., Ridwan, L. M., Agustini, D., Putri, D. F., Tumilaar, R., Asmaidi, A., & Raming, I. (2024). Natural Cubic Spline Method as a Method in Constructing a Life Table in Gegelang Village West Lombok. EIGEN MATHEMATICS JOURNAL, 7(1), 56–60. https://doi.org/10.29303/emj.v7i1.215

Issue

Vol. 7 No. 1 (2024): June

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

All articles published in the Eigen Mathematics Journal will be available for free reading and downloading. The license applied to this journal is Creative Commons Attribution-Non-Commercial-Share Alike (CC BY-NC-SA).