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All Journal Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam (JURRIMIPA) Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Asni Al Amini
Unknown Affiliation
Earth & Planetary Sciences Mathematics

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Analisis Probabilitas Hujan Menggunakan Data Historis Dari BMKG Wilayah I Tahun 2013-2015 Arnah Ritonga; Asni Al Amini; Livia Mutianda; Riamonda Singarimbun; Aiman Hidayat Baeha; Glensius Rayhane Pasaribu; Juanda Arief Darmawan Damanik
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 1 (2025): April : Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i1.4367

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.
Aplikasi Integral dalam Menghitung Volume dan Panjang Busur pada Design Cone Es Krim Berbentuk Kelopak Bunga Asni Al Amini; Kenjo Oktaviano Damanik; Monica Triyuni Sinaga; Riby Tamara; Zahra Marsanda Mahisa; Suvriadi Panggabean
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 3 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i3.480

Abstract

This study aims to apply integral calculus methods to calculate the volume and arc length of an ice cream cone design shaped like a flower petal. The cone design is modeled using a quadratic function derived from three reference points on the petal curve. Using the solid of revolution method around the y-axis, the calculated petal volume is 150.8 cm³, and the arc length is 7.14 cm. The results demonstrate that calculus-based modeling supports efficient material usage while enhancing aesthetic and functional aspects of packaging. This research highlights the connection between mathematical concepts and practical product design in the food industry
Estimasi Volume Air Hujan Menggunakan Metode Riemann untuk Mitigasi Banjir Musiman Adinda Saputri; Asni Al Amini; Alvi Sahri Nasution; Hamida Nasution; Livia Mutianda; Juanda Arif Darmawan Damanik; Mhd.Fachrizal
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 3 (2025): Desember : JURRIMIPA: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i3.7763

Abstract

Rainfall plays a crucial role in determining flood risk, particularly in regions with high precipitation intensity and limited drainage capacity. Langkat Regency in North Sumatra is one of the areas frequently affected by seasonal flooding. This study aims to model the spatial distribution of rainfall and estimate the rainwater volume using the double integral approach as a basis for flood mitigation planning. Monthly rainfall data from various observation stations in 2024 were processed to obtain the average rainfall intensity, which was then converted into meters and multiplied by the total area of Langkat Regency to compute the rainwater volume. The results indicate that the total estimated rainwater volume throughout 2024 reached 16,409,819,800 m³, with peak precipitation occurring from September to November, contributing significantly to the increasing flood risk in low‐lying zones and riverine areas. These findings demonstrate that the use of double integrals is an effective quantitative method for predicting potential flood volume based on rainfall distribution. The outcomes of this study are expected to serve as a scientific reference for local governments in developing data-driven flood mitigation strategies, such as improving drainage capacity, constructing retention basins, and strengthening watershed management.
Co-Authors Adinda Saputri Aiman Hidayat Baeha Alvi Sahri Nasution Arnah Ritonga Glensius Rayhane Pasaribu Hamida Nasution Juanda Arief Darmawan Damanik Juanda Arif Darmawan Damanik Kenjo Oktaviano Damanik Livia Mutianda Mhd.Fachrizal Monica Triyuni Sinaga Riamonda Singarimbun Riby Tamara Suvriadi Panggabean Zahra Marsanda Mahisa