Convective Rainfall Z-R Equation Characteristics for C-Band Weather Radar in the Jakarta Region

Authors

  • Muhammad Fadhillah College of Meteorology, Climatology, and Geophysics (STMKG) https://orcid.org/0009-0000-4297-7926
  • Yosafat Donni Haryanto College of Meteorology, Climatology, and Geophysics (STMKG)
  • Purwanti Lelly Sabrina College of Meteorology, Climatology, and Geophysics (STMKG)
  • Dodo Gunawan College of Meteorology, Climatology, and Geophysics (STMKG)

DOI:

https://doi.org/10.29303/goescienceed.v7i3.2661

Keywords:

Z-R Relationship, Convective Rainfall, C-Band Radar, Drop Size Distribution, Quantitative Precipitation Estimation

Abstract

Operational quantitative precipitation estimation (QPE) from the C-Band weather radar in Jakarta still relies on the generic Marshall-Palmer (Z=200R^1.6) and Rosenfeld Tropical (Z=250R^1.2) Z-R relationships, neither calibrated to the local Drop Size Distribution (DSD) of convective rainfall in this tropical maritime region. This study aimed to derive a locally modified Z-R coefficient specific to convective rain, defined as rain rate ≥10 mm/hour, using a statistical regression optimization approach. Volumetric raw data (.vol) from the Tangerang C-Band radar were paired with hourly rainfall records from 32 automatic rain gauges (ARG and AWS) within a 50 km radius during January–April 2024, following Column Maximum (CMAX) extraction and quality control procedures. Linear regression on log-transformed reflectivity and rainfall data yielded a new convective equation, Z=152R^1.4, with a correlation coefficient of 0.6972 and coefficient of determination of 0.4861. These moderate values are consistent with the naturally wide Drop Size Distribution spectrum of convective rainfall, rather than indicating a weak physical relationship between reflectivity and rain rate. Taylor Diagram verification showed the new equation sustaining a correlation of approximately 0.95, close to observed variability, with root mean square error near 3.9 dBZ, outperforming Marshall-Palmer and Rosenfeld Tropical in balancing correlation and standard deviation under convective conditions. These findings support operational adoption of a locally derived convective Z-R relationship for Jakarta's radar-based rainfall estimation.

References

Biondi, A., Facheris, L., Argenti, F., Cuccoli, F., Antonini, A., & Melani, S. (2024). Evaluation of quantitative rainfall estimation methods based on the integration of weather radar and rain gauge data. IEEE Geoscience and Remote Sensing Letters, 21, 1–5. https://doi.org/10.1109/lgrs.2024.3434650

Bringi, V. N., & Hendry, A. (1990). Technology of polarization diversity radars for meteorology. In Radar in Meteorology (pp. 153–190). Springer.

Dhiram, K., & Wang, Z. (2016). Evaluation on radar reflectivity-rainfall rate (ZR) relationships for Guyana. Atmospheric and Climate Sciences, 6(4), 489–499.

Doviak, R. J., & Zrnić, D. S. (2014). Doppler radar and weather observations. Academic Press.

Gou, Y., & Chen, H. (2021). Combining radar attenuation and partial beam blockage corrections for improved quantitative application. Journal of Hydrometeorology, 22(1), 139–153.

Hutapea, T. D. F., Permana, D. S., Praja, A. S., & Muzayanah, L. F. (2021). Modifikasi konstanta persamaan ZR radar Surabaya untuk peningkatan akurasi estimasi curah hujan. Jurnal Meteorologi dan Geofisika, 21(2), 91–97.

Kidd, C., Becker, A., Huffman, G. J., Muller, C. L., Joe, P., Skofronick-Jackson, G., & Kirschbaum, D. B. (2017). So, how much of the Earth's surface is covered by rain gauges? Bulletin of the American Meteorological Society, 98(1), 69–78.

Kusuma, I. K. N. A., & Wardoyo, E. (2018). Uji keakurasian estimasi hujan menggunakan hubungan Z-R untuk tipe awan hujan konvektif dan stratiform di Jakarta. Megasains, 9(1), 33–40.

Lakkham, M. (2017). Determining the appropriate altitude to improve accuracy in rainfall estimation from radar reflectivity data. Journal of Physics: Conference Series, 901(1), 012045.

Marshall, J. S., & Palmer, W. M. (1948). The distribution of raindrops with size. Journal of Meteorology, 5, 165–166.

Mocva-Kurek, R. K., Pedrozo-Acuña, A., & Rico-Ramírez, M. A. (2025). Spatial heterogeneity of drop size distribution and its implications for the Z-R relationship in Mexico City. Atmosphere, 16(5), 585.

Mundir, M. (2012). Statistik pendidikan: Pengantar analisis data untuk penulisan skripsi dan tesis. STAIN Jember Press.

Notaroš, B. M. (2022). Polarimetric weather radar: An overview of principles and applications. IEEE Antennas and Propagation Magazine, 64(5), 43–54.

Nzeukou, A., & Sauvageot, H. (2004). Raindrop size distribution and radar parameters at Cape Verde. Journal of Applied Meteorology, 43, 90–105.

Romatschke, U., & Dixon, M. (2022). 3D convective/stratiform echo type classification and convectivity: Application to GPM and CloudSat radar reflectivities. Collective Madison Meeting. American Meteorological Society.

Rosenfeld, D., Wolff, D. B., & Atlas, D. (1993). General probability-matched relations between radar reflectivity and rain rate. Journal of Applied Meteorology, 32, 50–72.

Sahlaoui, Z., & Mordane, S. (2019). Radar rainfall estimation in Morocco: Quality control and gauge adjustment. Hydrology, 6(2), 41.

Syafira, S. A., Zahroh, N. F., Dewi, S., & Renggono, F. (2021). Karakteristik butir air hujan permukaan dan lapisan atas atmosfer pada puncak musim hujan di Tangerang Selatan. Jurnal Sains & Teknologi Modifikasi Cuaca, 22(1), 9–16.

Talumassawatdi, R., Lursinsap, C., & Yin, Y. (2016). Adaptive estimation of local rainfall from radar intensity using rule-based approach on temporal and spatial data. Chiang Mai Journal of Science, 43(3), 643–660.

Taylor, K. E. (2001). Summarizing multiple aspects of model performance in a single diagram. Journal of Geophysical Research, 106, 7183–7192.

Downloads

Published

2026-07-29

How to Cite

Fadhillah, M., Haryanto, Y. D., Sabrina, P. L., & Gunawan, D. (2026). Convective Rainfall Z-R Equation Characteristics for C-Band Weather Radar in the Jakarta Region. Jurnal Pendidikan, Sains, Geologi, Dan Geofisika (GeoScienceEd Journal), 7(3), 4533–4539. https://doi.org/10.29303/goescienceed.v7i3.2661