Mapping Meteorological Drought Periods in South Sulawesi Using the Standardized Precipitation Index with the Power Law Process Model
DOI:
https://doi.org/10.30564/jees.v7i1.7277Abstract
A drought is when reduced rainfall leads to a water crisis, impacting daily life. Over recent decades, droughts have affected various regions, including South Sulawesi, Indonesia. This study aims to map the probability of meteorological drought months using the 1-month Standardized Precipitation Index (SPI) in South Sulawesi. Based on SPI, meteorological drought characteristics are inversely proportional to drought event intensity, which can be modeled using a Non-Homogeneous Poisson Process, specifically the Power Law Process. The estimation method employs Maximum Likelihood Estimation (MLE), where drought event intensities are treated as random variables over a set time interval. Future drought months are estimated using the cumulative Power Law Process function, with the β and γ parameters more significant than 0. The probability of drought months is determined using the Non-Homogeneous Poisson Process, which models event occurrence over time, considering varying intensities. The results indicate that, of the 24 districts/cities in South Sulawesi, 14 experienced meteorological drought based on the SPI and Power Law Process model. The estimated number of months of drought occurrence in the next 12 months is one month of drought with an occurrence probability value of 0.37 occurring in November in the Selayar, Bulukumba, Bantaeng, Jeneponto, Takalar and Gowa areas; in October in the Sinjai, Barru, Bone, Soppeng, Pinrang and Pare-pare areas; as well as in December in the Maros and Makassar areas.
Keywords:
Meteorological Drought; Non-Homogeneous Poisson Process; Point Process; Power Law Process; Standardized Precipitation Index; South Sulawesi-IndonesiaReferences
[1] Department of Communication, Informatics, Statistics, and Cryptography South Sulawesi Province, 2024. South Sulawesi food security index top three nationally. Available from: https://sulselprov.go.id/post/indeks-ketahanan-pangan-sulsel-tiga-besar-terbaik-nasional (cited 20 October 2024).
[2] Meteorology, Climatology and Geophysics Agency, 2024. Website title. Available from: https://www.bmkg.go.id/cuaca/prakiraancuaca.bmkg?kab=Makassar&Prov=Sulawesi_Selatan&AreaID=501495 (cited 20 October 2024).
[3] Hao, Z., Singh, V.P., Xia, Y., 2018. Seasonal drought prediction: Advances, challenges, and future prospects. Reviews of Geophysics. 56(6), 108−141. DOI: https://doi.org/10.1002/2016RG000549
[4] Wilhite, D.A., Glantz, M.H., 1985. Understanding: The drought phenomenon: the role of definitions. Water International. 10, 111−120. DOI: https://doi.org/10.1080/02508068508686328
[5] Zhao, Z., Wang, H., Yu, C., et al., 2020. Changes in spatiotemporal drought characteristics over northeast China from 1960 to 2018 based on the modified nested Copula model. Science of the Total Environment. 739, 140328. DOI: https://doi.org/10.1016/j.scitotenv.2020.140328
[6] Cao, S., Zhang, L., He, Y., et al., 2022. Effects and contributions of meteorological drought on agricultural drought under different climatic zones and vegetation types in Northwest China. Science of the Total Environment. 821(1), 153270. DOI: https://doi.org/10.1016/j.scitotenv.2022.153270
[7] Orimoloye, I.R., Belle, J.A., Orimoloye, Y.M., et al., 2022. Drought: A common environmental disaster. Atmosphere. 13(1), 111. DOI: https://doi.org/10.3390/atmos13010111
[8] Sunusi, N., 2023. Bias of automatic weather parameter measurement in monsoon area, a case study in Makassar Coast. AIMS Environmental Science. 10(1), 1−15. DOI: https://doi.org/10.3934/environsci.2023001
[9] McKee, T.B., Doesken, N.J., Kleist, J., 1993. The relationship of drought frequency and duration to time scales. Proceedings of the 8th Conference on Applied Climatology; Anaheim, CA, USA, 17−22 January 1993. pp. 179−184.
[10] Palmer, W.C., 1965. Meteorological drought, Research paper no. 45. US Weather Bureau, Washington, DC, 58.
[11] Wallis, J.R., 1993. The National Drought Atlas, Proc. 20th Anniversary Conference on Water Management in the '90s, ASCE, Seattle, WA, USA. pp. 455–462
[12] Byun, H.R., Wilhite, D.A., 1999. Objective quantification of drought severity and duration. Journal of Climate. 12(9), 2747−2756. DOI: https://doi.org/10.1175/1520-0442(1999)012%3C2747:OQODSA%3E2.0.CO;2
[13] Faisol, A., Indarto, I., Novita, E., et al., 2022. Assessment of agricultural drought based on CHIRPS data and SPI method over West Papua–Indonesia. Journal of Water and Land Development. 52(I−III), 44−52. DOI: https://doi.org/10.24425/jwld.2021.139942
[14] Pramudya, Y., Onishi, T., 2018. Assessment of the standardized precipitation index (SPI) in Tegal City, Central Java, Indonesia. In IOP conference series: earth and environmental science (Vol. 129, No. 1, p. 012019). IOP Publishing: Philadelphia, PA, USA. DOI: https://doi.org/10.1088/1755-1315/129/1/012019
[15] Latifoğlu, L., Özger, M., 2023. A novel approach for high-performance estimation of SPI data in drought prediction. Sustainability. 15(19), 14046. DOI: https://doi.org/10.3390/su151914046
[16] Asfaw, Z.G., Lindqvist, B.H., 2015. Unobserved heterogeneity in the power law nonhomogeneous Poisson process. Reliability Engineering & System Safety. 134, 59−65. DOI: https://doi.org/10.1016/j.ress.2014.10.005
[17] Rigdon, S.E., Basu, A.P., 1989. The power law process: A model for the reliability of repairable systems. Journal of Quality Technology. 21(4), 251−260. DOI: https://doi.org/10.1080/00224065.1989.11979183
[18] Ross, S.M., 2014. Introduction to probability models, 4th ed. Academic Press: Berkeley, CA, USA. pp. 1−647.
[19] Lindqvist, B.H., 2006. On the statistical modeling and analysis of repairable systems. Statistical Science. 21(4), 532−551. DOI: https://doi.org/10.1214/088342306000000448
[20] Morales, F.E.C., Rodrigues, D.T., 2022. Spatiotemporal nonhomogeneous poisson model with a seasonal component applied to the analysis of extreme rainfall. Journal of applied statistics. 50(10), 2108–2126. DOI: https://doi.org/10.1080/02664763.2022.2064978
[21] Achcar, J.A., Rodrigues, E.R., Tzintzun, G., 2011. Using non-homogeneous Poisson models with multiple change-points to estimate the number of ozone exceedances in Mexico City. Environmetrics. 22(1), 1−12. DOI: https://doi.org/10.1002/env.1029
[22] Goel, A.L., Okumoto, K., 1978. An analysis of recurrent software failures on a real-time control system. ACM '78: Proceedings of the 1978 annual Conference; December 4−6, 1978; Washington D.C., USA. pp. 496–500.
[23] Musa, J.D., Okumoto, K., 1984. A logarithmic poisson execution time model for 1902 software reliability measurement. Proceedings of Seventh International Conference on Software Engineering; March 26−29, 1984; Orlando, FL, USA. pp. 230−238.
[24] Duane, J.T., 1964. Learning curve approach to reliability monitoring. IEEE transactions on Aerospace. 2(2), 563−566. DOI: https://doi.org/10.1109/TA.1964.4319640
[25] Crow L.H., 1974. Reliability analysis for complex systems. In: Proschan, F., Serfling, R.J. (eds.). Reliability and Biometry. SIAM: Philadelphia, PA, USA. pp. 379−410.
[26] Laimighofer, J., Laaha, G., 2022. How standard are standardized drought indices? Uncertainty components for the SPI & SPEI case. Journal of Hydrology. 613, 1−18. DOI: https://doi.org/10.1016/j.jhydrol.2022.128385
[27] Al turk, L.I., 2014. Testing the performance of the Power Law Process model considering the use of regression estimation approach. International Journal of Software Engineering & Applications. 5(5), 35−46. DOI: https://doi.org/10.5121/ijsea.2014.5503
[28] Zhao, M., Xie, M., 1996. On maximum likelihood estimation for a general non-homogeneous Poisson process. Scandinavian Journal of Statistics. 23(4), 597−607. Available from: http://www.jstor.org/stable/4616427
[29] Auliana, N.H., Sunusi, N., Herdiani, E.T., 2024. Analysis of meteorological drought periods based on the Standardized Precipitation Evapotranspiration Index (SPEI) using the Power Law Process approach. AIMS Environmental Science. 11(5), 682−702.
Downloads
How to Cite
Issue
Article Type
License
Copyright © 2025 Nurtiti Sunusi, Nur Hikmah Auliana, Andi Kresna Jaya, Siswanto, Erna Tri Herdiani
This is an open access article under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) License.