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Logistic and CSG Growth Models for Predicting Life Expectancy

Cilt: 29 Sayı: 2 31 Ağustos 2024
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Logistic and CSG Growth Models for Predicting Life Expectancy

Öz

The tables that allow calculating the probability of death at a certain age by recording the number of births/deaths in a population are called life tables. The concept of life expectancy, which is a measure that determines how long a creature will live, is also determined by mortality rates obtained from life tables. It is also possible to model the expected lifetime with some nonlinear mathematical functions. One of the functions that is often used in modeling mortality rates is the logistic growth function. This study aims to propose a model that can be used as an alternative to the logistic growth model and to interpret the mortality rates of countries. In this study, the life expectancy of males and females in Türkiye, Singapore, Norway, and China was modeled using the logistic and the CSG growth model, which was newly introduced to the literature. When modeling the life expectancy of countries, the adjusted graph was drawn following the data of each growth model. Then, the performances of the logistic growth model and the CSG growth model were compared with R^2, RMSE, and MAPE statistical criteria. As a result of the comparison, it was revealed that the CSG growth model is more suitable than the logistic model for estimating life expectancy for overall data and for each gender. The originality of this study is the CSG model which is a new nonlinear model that predicts life expectancy effectively for related datasets.

Anahtar Kelimeler

CSG model, Growth models, Life expectancy, Life tables, Logistic model

Destekleyen Kurum

Çukurova Üniversitesi

Proje Numarası

FBA-2022-14131

Kaynakça

  1. Aje, O. G., Akanni, S. B., Abdualazeez, I. A., Ibrahim, R. A., & Adebayo, A. A. (2024). Forecasting of male life expectancy in Nigeria: Box-Jenkins approach. International Journal of Development Mathematics (IJDM), 1(1). https://doi.org/10.62054/ijdm/0101.20
  2. Arosio, P., Knowles, T. P., & Linse, S. (2015). On the lag phase in amyloid fibril formation. Physical Chemistry Chemical Physics, 17(12), 7606-7618. https://doi.org/10.1039/C4CP05563B
  3. Barnston, A. (1992). Correspondence among the Correlation [root mean square error] and Heidke Verification Measures; Refinement of the Heidke Score. Weather and Forecasting, 7(4), 699-709. https://doi.org/10.1175/1520-0434(1992)007<0699:CATCRA>2.0.CO;2
  4. Bowers, N. L., Gerber, H. U., Hickman, J. C., Jones, D. A., & Nesbitt, C. J. (1997). Actuarial mathematics (2nd ed.). Schaumburg: The Society of Actuaries.
  5. Burton, J. K., Reid, M., Gribben, C., Caldwell, D., Clark, D. N., Hanlon, P., … & McAllister, D. A. (2021). Impact of COVID-19 on care-home mortality and life expectancy in Scotland. Age and Ageing, 50(4), 1029-1037. https://doi.org/10.1093/ageing/afab080
  6. Carla, S. A., & Sumathi, M. (2021). Maximum lifespan prediction of women from Modified Weibull Distribution. International Research Journal on Advanced Science Hub (IRJASH), 3(3), 56-60.
  7. Chai, T., & Draxler, R. R. (2014). Root mean square error (RMSE) or mean absolute error (MAE)?–Arguments against avoiding RMSE in the literature. Geoscientific Model Development, 7(3), 1247-1250. https://doi.org/10.5194/gmd-7-1247-2014
  8. Chen, H. (2007). Use of linear, Weibull, and log-logistic functions to model pressure inactivation of seven foodborne pathogens in milk. Food Microbiology, 24(3), 197-204. https://doi.org/10.1016/j.fm.2006.06.004
  9. Dinçer K. S. (1998). The Investigation of the life expectancy variation from 1970 to 1986 in Eskişehir and Turkey. (Master thesis), Anadolu University Institute of Health Sciences, Eskişehir, Turkey.
  10. Gavrilov, L. A., & Gavrilova, N. S. (2019). New trend in old-age mortality: Gompertzialization of mortality trajectory. Gerontology, 65(5), 451-457. https://doi.org/10.1159/000500141

Kaynak Göster

APA
Çığşar, B., Ünal, D., Bıo Boulou, A.- hack, & Alshahaby, B. (2024). Logistic and CSG Growth Models for Predicting Life Expectancy. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 29(2), 503-513. https://doi.org/10.53433/yyufbed.1432156
AMA
1.Çığşar B, Ünal D, Bıo Boulou A hack, Alshahaby B. Logistic and CSG Growth Models for Predicting Life Expectancy. YYUFBED. 2024;29(2):503-513. doi:10.53433/yyufbed.1432156
Chicago
Çığşar, Begüm, Deniz Ünal, Abdel-hack Bıo Boulou, ve Bassel Alshahaby. 2024. “Logistic and CSG Growth Models for Predicting Life Expectancy”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 29 (2): 503-13. https://doi.org/10.53433/yyufbed.1432156.
EndNote
Çığşar B, Ünal D, Bıo Boulou A- hack, Alshahaby B (01 Ağustos 2024) Logistic and CSG Growth Models for Predicting Life Expectancy. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 29 2 503–513.
IEEE
[1]B. Çığşar, D. Ünal, A.- hack Bıo Boulou, ve B. Alshahaby, “Logistic and CSG Growth Models for Predicting Life Expectancy”, YYUFBED, c. 29, sy 2, ss. 503–513, Ağu. 2024, doi: 10.53433/yyufbed.1432156.
ISNAD
Çığşar, Begüm - Ünal, Deniz - Bıo Boulou, Abdel-hack - Alshahaby, Bassel. “Logistic and CSG Growth Models for Predicting Life Expectancy”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 29/2 (01 Ağustos 2024): 503-513. https://doi.org/10.53433/yyufbed.1432156.
JAMA
1.Çığşar B, Ünal D, Bıo Boulou A- hack, Alshahaby B. Logistic and CSG Growth Models for Predicting Life Expectancy. YYUFBED. 2024;29:503–513.
MLA
Çığşar, Begüm, vd. “Logistic and CSG Growth Models for Predicting Life Expectancy”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 29, sy 2, Ağustos 2024, ss. 503-1, doi:10.53433/yyufbed.1432156.
Vancouver
1.Begüm Çığşar, Deniz Ünal, Abdel-hack Bıo Boulou, Bassel Alshahaby. Logistic and CSG Growth Models for Predicting Life Expectancy. YYUFBED. 01 Ağustos 2024;29(2):503-1. doi:10.53433/yyufbed.1432156