Abu Arra, A., & Şişman, E. (2024). A comprehensive analysis and comparison of SPI and SPEI for spatiotemporal drought evaluation. Environmental Monitoring and Assessment, 196(10). https://doi.org/10.1007/s10661-024-13127-7
Adarsh, S., Karthik, S., Shyma, M., Prem, G. D., Shirin Parveen, A. T., & Sruthi, N. (2018). Developing Short Term Drought Severity-Duration-Frequency Curves for Kerala Meteorological Subdivision, India Using Bivariate Copulas. KSCE Journal of Civil Engineering, 22(3), 962–973. https://doi.org/10.1007/s12205-018-1404-9
Ahmad, I., Ahmad, T., Rehman, S. U., Mufrah Almanjahie, I., & Alshahrani, F. (2024). A detailed study on quantification and modeling of drought characteristics using different copula families. Heliyon, 10(3), e25422. https://doi.org/10.1016/j.heliyon.2024.e25422
Alencar, P. H. L., & Paton, E. N. (2024). Which droughts are becoming more frequent? A copula entropy analysis on the return period of droughts in Europe. Natural Hazards, 121(1), 543–565. https://doi.org/10.1007/s11069-024-06848-y
Anvari, S., Ryden, J., & Mianabadi, A. (2026). A nonstationary framework for hydrological drought assessment in Iran. Journal of Hydrology: Regional Studies, 63, Article 103009. https://doi.org/10.1016/j.ejrh.2025.103009
Aryanmanesh, J., Nazaripour, H., Mahmoodi, P., & Khosravi, P. (2024). Reconstruction of Missing Daily Streamflow Data using the MissForest Algorithm in Southern Baluchestan Basin, Iran. Journal of Watershed Management Research, 15(2), 49–64. https://doi.org/10.61186/jwmr.15.2.49
Azhdari, Z., Bazrafshan, O., Shekari, M., & Zamani, H. (2020). Three-dimensional risk analysis of hydro-meteorological drought using multivariate nonlinear index. Theoretical and Applied Climatology, 142(3-4), 1311–1327. https://doi.org/10.1007/s00704-020-03365-3
Badar, Z., Almazah, M. M. A., Raza, M. A., Hussain, I., Al-Duais, F. S., & Al-Rezami, A. Y. (2023). Integration of three drought indices based on triple collocation and multi-scalar weighted amalgamated drought index. Stochastic Environmental Research and Risk Assessment, 38(3), 1179–1195. https://doi.org/10.1007/s00477-023-02623-w
Bazrafshan, O., Shekari, M., Zamani, H., Dehghanpir, S., & Singh, V. P. (2021). Assessing hydrologic drought risk using multi-dimensional copulas: case study in Karkheh River basin. Environmental Earth Sciences, 80(17). https://doi.org/10.1007/s12665-021-09870-6
Deger, I. H., Yuce, M. I., & Esit, M. (2025). Spatio-Temporal Variability of Hydrological Drought and Trends: Implementation of Classical and Innovative Approaches. Water Resources Management, 39(11), 5879–5910. https://doi.org/10.1007/s11269-025-04229-z
Dodangeh, E., Shahedi, K., Shiau, J.-T., & MirAkbari, M. (2017). Spatial hydrological drought characteristics in Karkheh River basin, southwest Iran using copulas. Journal of Earth System Science, 126(6). https://doi.org/10.1007/s12040-017-0863-6
EskandariPour, M., & Soltaninia, S. (2021). Analyzing the duration frequency and severity of drought using copula function in the Yazd city. Journal of Water and Climate Change, 13(1), 67–82. https://doi.org/10.2166/wcc.2021.366
Genest, C., & Rivest, L. P. (1993). Statistical inference procedures for bivariate Archimedean copulas. Journal of the American statistical Association, 88(423), 1034-1043. https://doi.org/10.1080/01621459.1993.10476372
Gringorten, I. I. (1963). A plotting rule for extreme probability paper. Journal of Geophysical Research, 68(3), 813–814. https://doi.org/10.1029/jz068i003p00813
Guo, J., Wang, F., Wen, Y., Wang, X., Hao, Z., Zheng, H., Fan, Y., & Shen, C. (2025). Rising compound hot-dry extremes engendering more inequality in human exposure risks. Npj Natural Hazards, 2(1). https://doi.org/10.1038/s44304-025-00119-x
Habibi, B., Meddi, M., & Abdelkader, M. (2024). The frequency distribution and stochastic analysis of the hydrological drought in northern Algeria. Italian Journal of Agrometeorology, (1), 73–94. https://doi.org/10.36253/ijam-1730
Hamedi, E., Chezgi, H., & Noor, H. (2023). Simulating the Influence of Rangeland Conditions Improvement on Sarbaz River’s Discharge and Sedimentation. Desert Ecosystem Engineering, 12(38), 73-86. https://doi.org/10.22052/deej.2023.253674.1024
Hao, Z., & AghaKouchak, A. (2013). Multivariate Standardized Drought Index: A parametric multi-index model. Advances in Water Resources, 57, 12–18. https://doi.org/10.1016/j.advwatres.2013.03.009
Hasan, I. F., Abdullah, R., Awchi, T. A., & Kamal, N. H. M. (2023). Bivariate Frequency Analysis of Hydrological Drought Using Copula: A Case Study of Northern Iraq. Jordan Journal of Civil Engineering, 17(3). https://doi.org/10.14525/jjce.v17i3.06
Hasan, I. F., Kamal, N. H. M., Awchi, T. A., & Abdullah, R. (2025). Joint return period analysis of drought characteristics based on modified multivariate drought index. Hydrological Sciences Journal, 70(11), 1965–1980. https://doi.org/10.1080/02626667.2025.2513480
Hassani, A., Talebbeydokhti, N., & Afzali, S. H. (2026). A copula-based framework for assessing compound hydrological drought and water quality degradation risks in semi-arid regions. Hydrological Sciences Journal, 1–18. https://doi.org/10.1080/02626667.2026.2661284
Heidarizadi, Z., Ownegh, M., & Komaki, C. B. (2024). Assessment of drought risk using multi-sensor drought indices and vulnerability factors: a case study of semi-arid region in Iran. Arabian Journal of Geosciences, 17(2). https://doi.org/10.1007/s12517-024-11883-x
Huang, S., Chang, J., Leng, G., & Huang, Q. (2015). Integrated index for drought assessment based on variable fuzzy set theory: A case study in the Yellow River basin, China. Journal of Hydrology, 527, 608–618. https://doi.org/10.1016/j.jhydrol.2015.05.032
Huo, P., Li, Z., Bai, M., Li, Z., Huang, J., & Han, L. (2024). Spatial-temporal evolutions of historical and future meteorological drought center in Beijing area, China. Urban Climate, 53, 101786. https://doi.org/10.1016/j.uclim.2023.101786
Kanthavel, P., Saxena, C. K., & Singh, R. K. (2022). Integrated Drought Index based on Vine Copula Modelling. International Journal of Climatology, 42(16), 9510–9529. Portico. https://doi.org/10.1002/joc.7840
Karim, K., Nazaripour, H., Khosravi, M., & Amir, J. S. M. (2024). An Innovative Approach For Estimating Missing Monthly Rainfall Data in the Southern Balochestan Basin. Iraninan Journal of Irrigation and Water Engineering, 55(3), 245-261. https://doi.org/10.22125/iwe.2023.422204.1761
Kashki, A.R., & Ghorbani, H. (2024). Evaluation of long-term changes in the characteristics of drought and flood risks in the basin of southeastern Iran. Journal of the Climate Change esearch, 5 (19), 55-74. https://doi.org/10.30488/CCR.2024.461031.1224
Kim, H., Park, J., Yoo, J., & Kim, T. W. (2015). Assessment of drought hazard, vulnerability, and risk: A case study for administrative districts in South Korea. Journal of Hydro-environment Research, 9(1), 28-35. https://doi.org/10.1016/j.jher.2013.07.003.
Kumar, R., Singh, S., Bilga, P. S., Jatin, Singh, J., Singh, S., Scutaru, M.-L., & Pruncu, C. I. (2021). Revealing the benefits of entropy weights method for multi-objective optimization in machining operations: A critical review. Journal of Materials Research and Technology, 10, 1471–1492. https://doi.org/10.1016/j.jmrt.2020.12.114
Li, Z., Shao, Q., Tian, Q., & Zhang, L. (2020). Copula-based drought severity-area-frequency curve and its uncertainty, a case study of Heihe River basin, China. Hydrology Research, 51(5), 867–881. https://doi.org/10.2166/nh.2020.173
McKee, T. B., Doesken, N. J., & Kleist, J. (1993, January). The relationship of drought frequency and duration to time scales. In Proceedings of the 8th Conference on Applied Climatology (Vol. 17, No. 22, pp. 179-183).
Mirabbasi, R., Fakheri-Fard, A., & Dinpashoh, Y. (2012). Bivariate drought frequency analysis using the copula method. Theoretical and Applied Climatology, 108(1-2), 191–206. https://doi.org/10.1007/s00704-011-0524-7
Mirzaei Hassanlu, A., Erfanian, M., Javan, K., & Najafi, M. R. (2023). Daily precipitation concentration and Shannon’s entropy characteristics: spatial and temporal variability in Iran, 1966–2018. Theoretical and Applied Climatology, 155(1), 489–511. https://doi.org/10.1007/s00704-023-04647-2
Mohsin, M., & Adnan, S. (2023). Probabilistic modelling of interarrival time of drought for different operational drought indices used in Pakistan. International Journal of Climatology, 43(14), 6851–6865. Portico. https://doi.org/10.1002/joc.8239
Nazaripour, H., & Hamidianpour, M. (2025). Selecting the best probability distribution for frequency analysis of maximum streamflow discharge in the southern baluchestan basin, Iran. Iranian Journal of Irrigation & Drainage, 19(2), 229-242. https://idj.iaid.ir/article_217747_en.html
Nazaripour, H., Hamidianpour, M., Khosravi, M., & Vazirimehr, M. (2022). Variability of drought frequency and intensity in Iran using SPEI. Journal of Water and Soil Science, 26(4), 233-247. https://doi.org/10.47176/jwss.26.4.45861
Nazaripour, H., Karimi, Z., & Sedaghat, M. (2016). Hydro-Meteorological Drought Assessment Based on Aggregate Drought Index (ADI) and its prediction with Markov Chain in Sarbaz River Basin (Southeast of Iran). Water and Soil Science, 20(75), 151-169. https://sid.ir/paper/704005/en
Nazeri Tahroudi, M. , Mirabbasi, R. , Nasrolahi, A. and Karimi, S. Y. (2023). A Review of Copula-Based Approach for Water Resources Time Series. Water Harvesting Research, 6(1), 131-144. https://doi.org/10.22077/jwhr.2023.7034.1119
Oyounalsoud, M. S., Abdallah, M., Gokhan Yilmaz, A., Siddique, M., & Atabay, S. (2023). A new meteorological drought index based on fuzzy logic: Development and comparative assessment with conventional drought indices. Journal of Hydrology, 619, 129306. https://doi.org/10.1016/j.jhydrol.2023.129306
Park, J. Y., Yoo, J. Y., Lee, M., & Kim, T.-W. (2012). Assessment of Drought Risk in Korea: Focused on Data-based Drought Risk Map. Journal of the Korean Society of Civil Engineers, 32(4B), 203–211. https://doi.org/10.12652/ksce.2012.32.4b.203
Poodineh, N. , Nazaripour, H. and Khosravi, M. (2026). Reliability Assessment of Gridded SPEI (SPEIbase) in Iran's Catchments. Water and Soil, 39(6), 610-589. https://doi.org/10.22067/jsw.2026.97825.1527
Sabzevari, Y., Eslamian, S., Pamula, A. S. P., & Bazrkar, M. H. (2025). Drought Trend Analysis Using Standardized Precipitation Evapotranspiration Index in Cold-Climate Regions. Atmosphere, 16(4), 482. https://doi.org/10.3390/atmos16040482
Sadeghfam, S., Farmani, H., & Mirabbasi, R. (2025). Developing reservoir drought index and conducting copula-based frequency analysis for Lake Urmia basin in Iran. Journal of Hydrology: Regional Studies, 60, 102476. https://doi.org/10.1016/j.ejrh.2025.102476
Sediqi, M. N., & Komori, D. (2023). Assessing Water Resource Sustainability in the Kabul River Basin: A Standardized Runoff Index and Reliability, Resilience, and Vulnerability Framework Approach. Sustainability, 16(1), 246. https://doi.org/10.3390/su16010246
Seyedabadi, M., Kavianpour, M., & Moazami, S. (2020). Multivariate drought risk analysis based on copula functions: a case study. Water Supply, 20(6), 2375–2388. https://doi.org/10.2166/ws.2020.153
Shahrakizad, A. (2025). Assessment of Climate Change Impacts on the Hydrological Behavior of the Sarbaz River Basin Using CMIP6 Climate Models. Journal of Hydraulic and Water Engineering, 2(2), 51-71. https://doi.org/10.22044/jhwe.2025.16321.1068
Shannon, C. E. (1948). A mathematical theory of communications. Bell system technical journal, 27, 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
Sharafi, S., & Ghaleni, M. M. (2023). Enhancing drought monitoring and prediction in diverse climates by using composite drought indices. Stochastic Environmental Research and Risk Assessment, 39(10), 4295–4315. https://doi.org/10.1007/s00477-023-02597-9
Shekari, M., Zamani, H., Bazrafshan, O., & Singh, V. P. (2023). Maximum entropy copula for bivariate drought analysis. Physics and Chemistry of the Earth, Parts A/B/C, 131, 103419. https://doi.org/10.1016/j.pce.2023.103419
Shiau, J. T. (2006). Fitting drought duration and severity with two-dimensional copulas. Water resources management, 20(5), 795-815. https://doi.org/10.1007/s11269-005-9008-9
Sklar, M. (1959). Fonctions de répartition à n dimensions et leurs marges. In Annales de l'ISUP (Vol. 8, No. 3, pp. 229-231).
Terzi, T. B., & Üçüncü, O. (2026). Probabilistic Risk Assessment of Meteorological and Hydrological Droughts with Copula Functions: A Multivariate Framework. Water Resources Management, 40(2). https://doi.org/10.1007/s11269-025-04464-4
Topcu, E. (2022). Drought Analysis Using the Entropy Weight-based TOPSIS Method: A Case Study of Kars, Turkey. Russian Meteorology and Hydrology, 47(3), 224–231. https://doi.org/10.3103/s1068373922030086
Torkaman Pary, A., Rastgoo, P., Opp, C., Zeuss, D., & Abera, T. A. (2024). Impacts of Drought Severity and Frequency on Natural Vegetation Across Iran. Water, 16(22), 3334. https://doi.org/10.3390/w16223334
Veisi, H., Darijani, F., Khoshbakht, K., Liaghati, H., & Nazari, M. R. (2025). From perception to policy: adaptation strategies for agricultural resilience in a changing climate. Discover Agriculture, 3(1). https://doi.org/10.1007/s44279-025-00259-8
Wang, H., Bracciano, D., & Asefa, T. (2020). Evaluation of Water Saving Potential for Short-Term Water Demand Management. Water Resources Management, 34(10), 3317–3330. https://doi.org/10.1007/s11269-020-02615-3
Yue, S., Ouarda, T. B., Bobée, B., Legendre, P., & Bruneau, P. (1999). The Gumbel mixed model for flood frequency analysis. Journal of hydrology, 226(1-2), 88-100. https://doi.org/10.1016/s0022-1694(99)00168-7
Zarei, A. R., Shabani, A., & Moghimi, M. M. (2021). Accuracy Assessment of the SPEI, RDI and SPI Drought Indices in Regions of Iran with Different Climate Conditions. Pure and Applied Geophysics, 178(4), 1387–1403. https://doi.org/10.1007/s00024-021-02704-3
Zhang, L., Yu, X., Zhou, T., Zhang, W., Hu, S., & Clark, R. (2023). Understanding and Attribution of Extreme Heat and Drought Events in 2022: Current Situation and Future Challenges. Advances in Atmospheric Sciences, 40(11), 1941–1951. https://doi.org/10.1007/s00376-023-3171-x
