Analisis Probabilitas Hujan Menggunakan Data Historis Dari BMKG Wilayah I Tahun 2013-2015

Authors

  • Arnah Ritonga Universitas Negeri Medan
  • Asni Al Amini Universitas Negeri Medan
  • Livia Mutianda Universitas Negeri Medan
  • Riamonda Singarimbun Universitas Negeri Medan
  • Aiman Hidayat Baeha Universitas Negeri Medan
  • Glensius Rayhane Pasaribu Universitas Negeri Medan
  • Juanda Arief Darmawan Damanik Universitas Negeri Medan

DOI:

https://doi.org/10.55606/jurrimipa.v4i1.4367

Keywords:

Hisatorical data, Parameter estimation, Probability distribution, Rain probability, Statitical analysis

Abstract

Rainfall potential analysis plays a critical role in the management of air resources, mitigation of hydrometeorological disasters, and agricultural activity planning. Accurate estimation of rainfall patterns is essential to ensure effective decision-making in irrigation systems, water resource management, and disaster risk reduction strategies. This study aims to model the probability of rainfall occurrence using a statistical approach based on historical data obtained from the Bureau of Meteorology. The data spans a multi-year period and captures seasonal and regional variability in rainfall events. To characterize rainfall patterns, various probability distributions are tested, including the exponential distribution and the Weibull distribution, which are commonly applied in hydrological studies. Furthermore, the Markov chain method is employed to assess the likelihood of rainfall occurrence on a given day based on the conditions of the preceding day, thereby capturing temporal dependencies. Parameter estimation is conducted using Maximum Likelihood Estimation (MLE), a robust statistical method that enhances the precision of the model. The suitability of each probability distribution in representing the observed rainfall data is evaluated through goodness-of-fit tests such as the Kolmogorov-Smirnov test. The findings reveal that certain distributions align more closely with the local rainfall characteristics, demonstrating the importance of regional analysis in climate modeling. The combination of probabilistic modeling, Markov analysis, and rigorous statistical testing provides a reliable framework for forecasting rainfall. These results are expected to serve as a scientific basis for stakeholders in agriculture, environmental planning, and disaster preparedness, offering insights that support sustainable water resource utilization and risk management.

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References

Aldrian, E. (2018). Pemodelan iklim untuk adaptasi perubahan iklim di Indonesia. Jakarta: Lembaga Penerbit Badan Meteorologi Klimatologi dan Geofisika.

BMKG. (2021). Laporan tahunan iklim Indonesia 2021. Jakarta: Badan Meteorologi, Klimatologi, dan Geofisika.

Handhayani, T. (2023). An integrated analysis of air pollution and meteorological condi-tions in Jakarta. Scientific Reports, 13, 5798. https://www.nature.com

Kurniadi, F., et al. (2023). Future projections of extreme rainfall events in Indonesia. Inter-national Journal of Climatology, 43(5), 2431–2447. https://rmets.onlinelibrary.wiley.com

Kurniadi, F., et al. (2023). Temperature, extreme precipitation, and diurnal rainfall changes in the urbanized Jakarta city during the past 130 years. Theoretical and Applied Climatology, 146, 753–767. https://www.researchgate.net

Kurniawan, R., & Hidayat, R. (2022). Dampak perubahan iklim terhadap sektor pertanian di Indonesia. Jurnal Agromet Indonesia, 36(1), 45–58.

Kusuma, M. A., et al. (2023). Changing urban temperature and rainfall patterns in Jakarta. Sustainability, 16(1), 350. https://www.mdpi.com

Lee, T. (2015). General rainfall patterns in Indonesia and the potential impacts of local seas on rainfall intensity. Water, 7(4), 1751–1768. https://doi.org/10.3390/w7041751

Marzuki, M., Suryanto, W., & Ramadhan, R. (2020). Analisis distribusi probabilitas curah hujan ekstrem di Indonesia bagian barat. Jurnal Sains & Teknologi Modifikasi Cuaca, 21(1), 23–34.

Nababan, H. M., Silitonga, B., & Siahaan, R. (2023). Analisis karakteristik curah hujan Ko-ta Medan bagian utara dengan menggunakan 3 data stasiun hujan. Jurnal Rekayasa Konstruksi Mekanika Sipil (JRKMS), 6(2), 107–118.

Nugroho, S. P., et al. (2023). Modelling compound flooding: A case study from Jakarta, In-donesia. Natural Hazards, 114, 1231–1255. https://www.springerlink.com

Nyinya Ninas, A., & Nur Silvia, A. (2022). Prediksi frekuensi probabilitas curah hujan di Jambi menggunakan rantai Markov serta modul tree forecasting berbantuan soft-ware QM-V5. Jurnal Statistika Universitas Jambi, 1(2).

Rahmawati, A., Rusgiyono, A., & Wuryandari, T. (2014). Identifikasi curah hujan ekstrem di Kota Semarang menggunakan estimasi parameter momen probabilitas terboboti pada nilai ekstrem terampat (Studi kasus data curah hujan dasarian Kota Semarang tahun 1990–2013). Jurnal Gaussian, 3(4).

Siswanto, S., Supari, S., & Nurdiati, S. (2021). Tren curah hujan ekstrem di Indonesia dalam tiga dekade terakhir. Jurnal Meteorologi dan Geofisika, 22(2), 89–102.

Syaifullah, M. D. (2013). Kondisi curah hujan pada kejadian banjir Jakarta dan analisis kondisi udara atas wilayah Jakarta bulan Januari–Februari 2013. Jurnal Sains & Teknologi Modifikasi Cuaca, 14(1), 19–26.

Tarigan, J., & Sitanggang, I. S. (2019). Karakteristik curah hujan wilayah Indonesia bagian barat dan hubungannya dengan fenomena iklim global. Jurnal Ilmu Lingkungan, 17(3), 456–470.

Wati, T., Sutriyono, E., & Sabaruddin, S. (2020). Analisis probabilitas curah hujan harian maksimum untuk perencanaan infrastruktur di Sumatera Utara. Jurnal Teknik Sipil, 15(2), 123–135.

Widyawati, Y., Yuniarti, D., & Goejantoro, R. (2021). Analisis distribusi frekuensi dan periode ulang hujan: Studi kasus curah hujan Kecamatan Long Iram Kabupaten Ku-tai Barat tahun 2013–2017. EKSPONENSIAL, 11(1), 65–70.

Wijaya, N., & Setiawan, B. (2021). Pemodelan statistik untuk prediksi curah hujan ekstrem di Indonesia. Jurnal Matematika & Sains, 26(1), 34–45.

Yulihastin, E., Hadi, T. W., & Ningsih, N. S. (2022). Variabilitas curah hujan di Indonesia dan hubungannya dengan fenomena monsun. Jurnal Geofisika, 18(2), 67–78.

Zufrimar, Z., & Arif, M. (2020). Distribusi probabilitas curah hujan pada daerah aliran Sungai Kuranji. Jurnal Rekayasa Fakultas Teknik Sipil dan Perencanaan Universitas Bung Hatta, 16(1), 1–10.

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Published

2025-04-15

How to Cite

Arnah Ritonga, Asni Al Amini, Livia Mutianda, Riamonda Singarimbun, Aiman Hidayat Baeha, Glensius Rayhane Pasaribu, & Juanda Arief Darmawan Damanik. (2025). Analisis Probabilitas Hujan Menggunakan Data Historis Dari BMKG Wilayah I Tahun 2013-2015. JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM, 4(1), 01–20. https://doi.org/10.55606/jurrimipa.v4i1.4367