Vol. 2 No. 2 (2026): April
Articles

DISCRETE CALCULUS ANALYSIS OF POVERTY DYNAMICS IN JAYAPURA REGENCY, 2017–2024, BASED ON SDG GOAL 1

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  • Marthinus Yohanes Ruamba,
  • Ortis Fredy Waromi,
  • Natan Baransano
Marthinus Yohanes Ruamba
Universitas Cenderawasih
Ortis Fredy Waromi
Universitas Cenderawasih
Natan Baransano
Universitas Cenderawasih

Published 2026-04-30

Keywords

  • Poverty rate; discrete calculus; Jayapura Regency; SDG Goal 1; rate of change

Abstract

Poverty in Jayapura Regency, one of the buffer areas of Papua Province’s capital region, is a key challenge in achieving the Sustainable Development Goals (SDGs) Goal 1: No Poverty. This study aims to analyze the rate of change and dynamics of poverty in Jayapura Regency for the period 2017-2024 and project it to 2030 using a discrete calculus or finite-difference approach. The research method is quantitative descriptive with secondary data on the percentage of the poor population from the Central Statistics Agency (BPS). The analysis was conducted by calculating the first derivative (rate of change) and the second derivative (acceleration/deceleration) discretely. The results show that the poverty rate declined from from 13.01% (2017) to 11.60% (2024). However, derivative analysis reveals a significant deceleration phase in the 2022-2024 period, culminating in a a reversal to a positive rate of change (+0.15 percentage points) in 2024. This critical finding suggests that the post-pandemic momentum for poverty reduction has weakened and is beginning to reverse. Simple linear projections up to 2030 indicate that the SDG target for eliminating extreme poverty is at risk of being missed without significant policy acceleration. The differential calculus approach has proven effective as an early detection tool for detecting changes in momentum that are not always visible from static annual data.

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References

  1. Akita, T. (2002). Regional income inequality in Indonesia and the initial impact of the economic crisis. Bulletin of Indonesian Economic Studies, 38(2), 201-222.
  2. Alkire, S., & Foster, J. (2011). Counting and multidimensional poverty measurement. Journal of Public Economics, 95(7-8), 476-487. https://doi.org/10.1016/j.jpubeco.2010.11.006
  3. Central Bureau of Statistics. (2024). Indicators of Indonesia's Sustainable Development Goals 2024. Jakarta: Central Bureau of Statistics.
  4. Jayapura Regency Central Statistics Agency. (2025). Jayapura Regency in Figures 2025. Sentani: BPS Jayapura Regency.
  5. Bazzi, S., Sumarto, S., & Suryahadi, A. (2015). It's all in the timing: Cash transfers and consumption smoothing in a developing country. Journal of Economic Behavior & Organization, 119, 267-288. https://doi.org/10.1016/j.jebo.2015.08.008
  6. Bourguignon, F. (2004). The poverty-growth-inequality triangle. Indian Council for Research on International Economic Relations Working Paper No. 125.
  7. Chartrand, R. (2011). Numerical differentiation of noisy, nonsmooth data. ISRN Applied Mathematics, 2011, 164564. https://doi.org/10.5402/2011/164564
  8. Dartanto, T., & Nurkholis. (2013). The determinants of poverty dynamics in Indonesia: Evidence from panel data. Bulletin of Indonesian Economic Studies, 49(1), 61-84. https://doi.org/10.1080/00074918.2013.772939
  9. De Silva, I., & Sumarto, S. (2014). Does economic growth really benefit the poor? Income distribution dynamics and pro-poor growth in Indonesia. Bulletin of Indonesian Economic Studies, 50(2), 227-242. https://doi.org/10.1080/00074918.2014.938405
  10. De Silva, I., & Sumarto, S. (2015). Dynamics of growth, poverty and human capital: Evidence from Indonesian sub-national data. Journal of Economic Development, 40(2), 1-33. https://doi.org/10.35866/caujed.2015.40.2.001
  11. Foster, J., Greer, J., & Thorbecke, E. (1984). A class of decomposable poverty measures. Econometrica, 52(3), 761-766.
  12. Gonzales Martinez, R., & Cooray, M. (2025). Enhancing poverty targeting with spatial machine learning: An application to Indonesia. arXiv preprint arXiv:2503.04300.
  13. Greer, J., & Thorbecke, E. (1986). A methodology for measuring food poverty applied to Kenya. Journal of Development Economics, 24(1), 59-74. https://doi.org/10.1016/0304-3878(86)90144-6
  14. Hill, H. (2020). Indonesian living standards over 50 years: A multidimensional analysis. Asian Economic Journal, 34(3), 249-274. https://doi.org/10.1111/asej.12221
  15. Panjawa, JL (2020). Poverty heterogeneity and its determinants: A case study of districts and cities in Papua Province. Journal of Economics and Development, 20(2). https://doi.org/10.20961/jiep.v20i2.41160
  16. Pradhan, M., Suryahadi, A., Sumarto, S., & Pritchett, L. (2001). Eating like which 'Joneses'? An iterative solution to the choice of a poverty line reference group. Review of Income and Wealth, 47(4), 473-487. https://doi.org/10.1111/1475-4991.00030
  17. Pratiwi, IE, & Joshi, NP (2025). Exploring the regional multidimensional poverty pattern in Indonesia: Does climate matter? Ethiconomy, 24(2), 635-652. https://doi.org/10.15408/etk.v24i2.39523
  18. Purcell, E. J., Rigdon, S. E., & Varberg, D. (2019). Calculus (9th ed., trans.). Jakarta: Erlangga.
  19. Ravallion, M., Chen, S., & Sangraula, P. (2009). Dollar a day revisited. The World Bank Economic Review, 23(2), 163-184. https://doi.org/10.1093/wber/lhp007
  20. Savitzky, A., & Golay, M. J. E. (1964). Smoothing and differentiation of data by simplified least squares procedures. Analytical Chemistry, 36(8), 1627-1639. https://doi.org/10.1021/ac60214a047
  21. Sen, A. (1976). Poverty: An ordinal approach to measurement. Econometrica, 44(2), 219-231.
  22. Skoufias, E., & Suryahadi, A. (2000). Changes in household welfare, poverty and inequality during the crisis. Bulletin of Indonesian Economic Studies, 36(2), 97-114. https://doi.org/10.1080/00074910012331338903
  23. Sparrow, R., Suryahadi, A., & Widyanti, W. (2013). Social health insurance for the poor: Targeting and impact of Indonesia's Askeskin program. Social Science & Medicine, 96, 264-271. https://doi.org/10.1016/j.socscimed.2012.09.043
  24. Sumarto, S., Suryahadi, A., & Widyanti, W. (2005). Assessing the impact of Indonesian social safety net programs on household welfare and poverty dynamics. The European Journal of Development Research, 17(1), 155-177. https://doi.org/10.1080/09578810500066746
  25. Suryahadi, A., & Sumarto, S. (2003). Poverty and vulnerability in Indonesia before and after the economic crisis. Asian Economic Journal, 17(1), 45-64. https://doi.org/10.1111/1351-3958.00161
  26. Suryahadi, A., Al Izzati, R., & Suryadarma, D. (2020). Estimating the impact of COVID-19 on poverty in Indonesia. Bulletin of Indonesian Economic Studies, 56(2), 175-192. https://doi.org/10.1080/00074918.2020.1779390
  27. Suryahadi, A., Al Izzati, R., & Yumna, A. (2021). The impact of COVID-19 and social protection programs on poverty in Indonesia. Bulletin of Indonesian Economic Studies, 57(3), 267-296. https://doi.org/10.1080/00074918.2021.2005519
  28. Suryahadi, A., Hadiwidjaja, G., & Sumarto, S. (2012). Economic growth and poverty reduction in Indonesia before and after the Asian financial crisis. Bulletin of Indonesian Economic Studies, 48(2), 209-227. https://doi.org/10.1080/00074918.2012.694155
  29. Suryahadi, A., Sumarto, S., & Pritchett, L. (2003). Evolution of poverty during the crisis in Indonesia. Asian Economic Journal, 17(3), 221-241. https://doi.org/10.1111/j.1467-8381.2003.00184.x
  30. Suryahadi, A., Suryadarma, D., & Sumarto, S. (2009). The effects of location and sectoral components of economic growth on poverty: Evidence from Indonesia. Journal of Development Economics, 89(1), 109-117. https://doi.org/10.1016/j.jdeveco.2008.04.006
  31. Suryahadi, A., Widyanti, W., & Sumarto, S. (2003). Short-term poverty dynamics in rural Indonesia during the economic crisis. Journal of International Development, 15(2), 133-144. https://doi.org/10.1002/jid.949
  32. United Nations Department of Economic and Social Affairs. (2024). The Sustainable Development Goals Report 2024. New York: United Nations.
  33. Yusuf, AA, Anna, Z., Komarulzaman, A., & Sumner, A. (2023). Will economic growth be sufficient to end global poverty? UNU-WIDER Working Paper 2023/123.