Structural Analysis and Regime Shift of Drought in Iran Using a Three-Dimensional Clustering Approach

Document Type : Research Article

Authors

Department of Physical Geography, Faculty of Humanities, Tarbiat Modares University, Tehran, Iran

Abstract

This study investigates the structural evolution and regime shifts of droughts in Iran from 1958 to 2022 using a three-dimensional (3D) clustering framework. The analysis employed high-resolution (~4 km) climate data from the TerraClimate dataset. Drought clusters were identified as continuous spatiotemporal events by applying thresholding to the Self-Calibrating Palmer Drought Severity Index (scPDSI), a widely used measure of drought intensity, and extracting connected components within the data cube. To refine the results, a minimum-size filter was applied, with the optimal value determined through a geometric optimization method based on curvature analysis (cos C method). The findings reveal a substantial transformation in Iran’s drought patterns, particularly after 2000, when short, sporadic episodes gave way to more persistent and spatially extensive drought systems. Among the five drought thresholds tested, the moderate level (scPDSI = -2.0) provided the most balanced trade-off between event frequency and spatial coverage. In parallel, a minimum cluster size of 16 voxels was identified as the geometric filter threshold, effectively reducing noise from small, transient clusters while preserving significant drought events and enhancing structural coherence. Results show that, since 2000, drought clusters have become larger, longer-lasting, and more spatially synchronized. Moreover, regions in central, western, northeastern, and northwestern Iran-previously less affected by severe drought-have emerged as new hotspots, experiencing marked increases in both frequency and duration. By integrating 3D clustering with threshold optimization, this study introduces a methodological innovation in drought research. The approach not only advances scientific understanding of spatiotemporal drought dynamics but also provides practical value for improving drought monitoring, informing adaptation planning, and strengthening early warning systems in Iran and other arid regions.
Introduction
Drought is a complex environmental hazard with profound ecological, agricultural, and social impacts. In Iran’s arid and semi-arid climates, its increasing frequency and severity have heightened risks to water and land resources. Conventional studies often rely on indices such as the Standardized Precipitation Index (SPI) and the Palmer Drought Severity Index (PDSI), but these approaches typically lack the spatiotemporal continuity needed to capture drought dynamics fully.
To address this limitation, we applied a three-dimensional (3D) clustering framework to monthly Self-Calibrating PDSI (scPDSI) data (1958–2022) from the high-resolution TerraClimate dataset. Using connected-component labeling and geometric threshold optimization, we identified and analyzed coherent spatiotemporal drought clusters across Iran. The objective was to evaluate structural patterns and regime shifts in drought behavior, offering a novel contribution to both drought monitoring and adaptation planning.
Material and Methods
We adopted a multi-step observational framework, adapted from Diaz et al. (2024), to analyze drought events in Iran (1958–2022). The process involved: (1) 3D connected-component labeling to identify continuous drought clusters; (2) cluster-size filtering to eliminate insignificant structures; and (3) threshold sensitivity analysis to determine optimal drought intensity levels.
Drought severity was measured using scPDSI derived from TerraClimate (~4 km resolution gridded climate variables). Data were processed in MATLAB by constructing a 3D data cube (latitude–longitude–time) and classifying drought conditions with five thresholds (–0.5 to –4.0). The resulting binary maps enabled the detection, filtering, and analysis of major drought events.
Results and Discussion
Over 7,400 drought clusters were identified across Iran between 1958 and 2022. Cluster number, size, and duration varied strongly with both scPDSI threshold and minimum-size filter. At more lenient thresholds (e.g., –0.5), clusters were abundant but small and short-lived; at more stringent thresholds (e.g., –4), clusters were fewer but spatially extensive and temporally persistent.
Geometric optimization (cos C method, based on curvature analysis) identified an optimal threshold of scPDSI = –2 with a minimum cluster size of 16 voxels. This balance retained hydrologically relevant events while reducing noise. Temporal analysis revealed a rising trend in the percentage of land under drought (PDA) since 2000, with increasingly frequent and spatially synchronized episodes. Moderate droughts (–2) peaked in the late 1960s, early 1980s, and after 2000, while extreme droughts (–4) intensified post-2000. Spatial mapping showed persistent droughts in central, western, and northeastern provinces, with newly emerging hotspots in Golestan, Ardabil, and Razavi Khorasan.
These results suggest a regime shift in Iran’s drought behavior over the past two decades, characterized by events that are more chronic, widespread, and synchronized. Such findings highlight the inadequacy of short-term or localized interventions and emphasize the need for integrated, long-term adaptation strategies.
Conclusion
This study presents a comprehensive structural analysis of drought events in Iran (1958–2022) using a novel 3D clustering framework applied to high-resolution scPDSI data. The approach captured droughts as continuous spatiotemporal entities, independent of administrative or station-based constraints.
Findings reveal a post-2000 regime shift toward longer, more frequent, and more extensive droughts, likely linked to climate change and large-scale ocean–atmosphere variability. Optimal detection was achieved with scPDSI = –2.0 and a cluster-size filter of 16 voxels, which balanced event frequency and reliability. Spatial analysis further identified newly emerging drought hotspots in central, western, and northern provinces, underscoring the need for updated risk maps and adaptive strategies.
The 3D clustering approach offers a transferable tool for advanced drought monitoring in arid regions globally. Future research should integrate climate change projections and link drought clusters to socioeconomic and ecological impacts to strengthen resilience at national and regional scales.
 
 
 
 

Keywords

Main Subjects


©2025 The author(s). This is an open access article distributed under Creative Commons Attribution 4.0 International License (CC BY 4.0)

 

 

Abatzoglou, J. T., Dobrowski, S. Z., Parks, S. A., & Hegewisch, K. C. (2018). TerraClimate, a high-resolution global dataset of monthly climate and climatic water balance from 1958–2015. Scientific Data, 5, 170191. https://doi.org/10.1038/sdata.2017.191
Alayi Talaghani, M. (2009). Geomorphology of Iran. Tehran: Ghoomes Publications. [In Persian]
Andreadis, K. M., Clark, E. A., Wood, A. W., Hamlet, A. F., & Lettenmaier, D. P. (2005). Twentieth-century drought in the conterminous United States. Journal of Hydrometeorology, 6(6), 985-1001. https://doi.org/10.1175/JHM450.1
Araghi, A. R., Martinez, C. J., & Adamowski, J. F. (2023). Evaluation of TerraClimate gridded data across diverse climates in Iran. Earth Science Informatics, 16, 1347–1358. https://doi.org/10.1007/s12145-023-00967-z
Beck, H. E., Wood, E. F., Pan, M., Fisher, C. K., Miralles, D. G., Van Dijk, A. I.,... & Adler, R. F. (2019). MSWEP V2 global 3-hourly 0.1 precipitation: methodology and quantitative assessment. Bulletin of the American Meteorological Society, 100(3), 473-500. https://doi.org/10.1175/BAMS-D-17-0138.1
Cook, B. I., Ault, T. R., & Smerdon, J. E. (2015). Unprecedented 21st century drought risk in the American Southwest and Central Plains. Science advances1(1), e1400082. https://doi.org/10.1126/sciadv.1400082
Diaz, V., Corzo Perez, G. A., Van Lanen, H. A. J., & Solomatine, D. P. (2024). Three-Dimensional Clustering in the Characterization of Spatiotemporal Drought Dynamics: Cluster Size Filter and Drought Indicator Threshold Optimization. Advanced Hydroinformatics: Machine Learning and Optimization for Water Resources, 319-342. https://doi.org/10.1002/9781119639268.ch11
Diaz, V., Perez, G. A. C., Van Lanen, H. A., Solomatine, D., & Varouchakis, E. A. (2020). An approach to characterise spatio-temporal drought dynamics. Advances in Water Resources, 137, 103512. https://doi.org/10.1016/j.advwatres.2020.103512
Fathi Taperasht, A., Shafizadeh-Moghadam, H., & Kouchakzadeh, M. (2022). Spatial-temporal analysis of Iran's climatic classification based on Domarten method and Mann-Kendall test in the statistical period of 1995-2019. Environmental Sciences, 20(3), 137-154. [In Persain] https://doi: 10.52547/envs.2021.1105
Forootan, E., Safari, A., Mostafaie, A., Schumacher, M., Delavar, M., & Awange, J. L. (2017). Large-scale total water storage and water flux changes over the arid and semiarid parts of the Middle East from GRACE and reanalysis products. Surveys in Geophysics, 38(3), 591-615. [In Persain] https://doi.org/10.1007/s10712-016-9403-1
Funk, C., Peterson, P., Landsfeld, M., Pedreros, D., Verdin, J., Shukla, S., & Michaelsen, J. (2015). The climate hazards infrared precipitation with stations – A new environmental record for monitoring extremes. Scientific Data, 2, 150066. https://doi.org/10.1038/sdata.2015.66
Gebrechorkos, S. H., Hülsmann, S., & Bernhofer, C. (2019). Long-term trends in rainfall and temperature using high-resolution climate datasets in East Africa. Scientific Reports 9, 11376. https://doi.org/10.1038/s41598-019-47933-8
Haralick, R. M., & Shapiro, L. G. (1992). Computer and robot vision  II. Addison-Wesley.
Herrera‐Estrada, J. E., & Diffenbaugh, N. S. (2020). Landfalling droughts: Global tracking of moisture deficits from the oceans onto land. Water Resources Research, 56(9), e2019WR026877. https://doi.org/10.1029/2019WR026877
Hosseini, A., Ghavidel, Y., & Farajzadeh, M. (2021). Characterization of drought dynamics in Iran by using S-TRACK method. Theoretical and Applied Climatology, 145, 661–671. https://doi.org/10.1007/s00704-021-03656-3
Khosravi, M., Abbasnia, M., Ghobadi, A., & Armesh, M. (2017). Investigating the spatial relationship between spring convective precipitation and topography in northwestern Iran. Geography and Urban-Regional Planning, 7(23), 21–38. [In Persian] https://doi.org/10.22111/gaij.2017.3222  
Lioyd-Hughes, B. (2012). A spatio-temporal structure-based approach to drought characterization. International Journal of Climatology, 32(3), 406–418. https://doi.org/10.1002/joc.2280
Liu, Z., Hu, S., & Mo, X. (2025). Spatiotemporal Variation of Compound Drought and Heatwave Events in Semi-Arid and Semi-Humid Regions of China. Atmosphere, 16(5), 568. https://doi.org/10.3390/atmos16050568
Madani, K. (2014). Water management in Iran: What is causing the looming crisis? Journal of Environmental Studies and Sciences, 4(4), 315–328. https://doi.org/10.1007/s13412-014-0182-z
Najafi, M. S., & Alizadeh, O. (2023). Climate zones in Iran. Meteorological Applications, 30(5), e2147. https://doi.org/10.1002/met.2147
Palmer, W. C. (1965). Meteorological drought (Research Paper 45). U.S. Weather Bureau.
Peel, M. C., Finlayson, B. L., & McMahon, T. A. (2007). Updated world map of the Köppen-Geiger climate classification. Hydrology and Earth System Sciences, 11, 1633–1644. https://doi.org/10.5194/hess-11-1633-2007
Pyarali, K., Peng, J., Disse, M., & Tuo, Y. (2022). Development and application of high resolution SPEI drought dataset for Central Asia. Scientific Data, 9(1), 172. https://doi.org/10.1038/s41597-022-01279-5
Razmi, R., Sotoudeh, F., Ghane, M., & Ostad-Ali-Askari, K. (2022). Temporal–spatial analysis of drought and wet periods: case study of a wet region in Northwestern Iran (East Azerbaijan, West Azerbaijan, Ardebil and Zanjan provinces). Applied Water Science, 12(11), 251.https://doi.org/10.1007/s13201-022-01765-6
Sadeghi, F., Ghavidel, Y., & Farajzadeh, M. (2022). Long-term analysis of the spatiotemporal standardized precipitation evapotranspiration index for West Asia. Arabian Journal of Geosciences, 15, 1183. https://doi.org/10.1007/s12517-022-10458-y
Shayeghi, A., Ziveh, A. R., Bakhtar, A., Teymoori, J., Hanel, M., Godoy, M. R. V., ... & AghaKouchak, A. (2024). Assessing drought impacts on groundwater and agriculture in Iran using high-resolution precipitation and evapotranspiration products. Journal of Hydrology, 631, 130828. https://doi.org/10.1016/j.jhydrol.2024.130828
Sheffield, J., Wood, E., & Roderick, M. (2012). Little change in global drought over the past 60 years. Nature, 491, 435–438. https://doi.org/10.1038/nature11575
Vaghefi, S. A., Keykhai, M., Jahanbakhshi, F., Sheikholeslami, J., Ahmadi, A., Yang, H., & Abbaspour, K. C. (2019). The future of extreme climate in Iran. Scientific Reports, 9(1), 1464. https://doi.org/10.1038/s41598-018-38071-8
Verhoeven, E., Wardle, G. M., Roth, G. W., & Greenville, A. C. (2022). Characterising the spatiotemporal dynamics of drought and wet events in Australia. Science of the Total Environment, 846, 157480. https://doi.org/10.1016/j.scitotenv.2022.157480
Vernieuwe, H., De Baets, B., & Verhoest, N. E. (2020). A mathematical morphology approach for a qualitative exploration of drought events in space and time. International Journal of Climatology40(1), 530-543. https://doi.org/10.1002/joc.6226
Wang, D., Jia, H., Tang, J., & Liu, N. (2025). Analysis of the spatiotemporal patterns and propagation characteristics of drought risk in China. Frontiers of Earth Science, 1-11. https://doi.org/10.1007/s11707-024-1139-5
Wei, W., Lu, D., Song, Y., Sherif, M., Dewan, A., Liu, T & Wang, X. (2025). Spatiotemporal characteristics of drought events in Asia from a three-dimensional perspective. Climate Dynamics, 63(3), 1-18. https://doi.org/10.1007/s00382-025-07645-4
Wells, N., Goddard, S., & Hayes, M. J. (2004). A self-calibrating Palmer drought severity index. Journal of Climate, 17(12), 2335–2351.  https://doi.org/10.1175/1520-0442(2004)017%3C2335:ASPDSI%3E2.0.CO;2
World Meteorological Organization (WMO). (2006). Drought monitoring and early warning: Concepts, progress and future challenges (WMO No. 1006). Geneva: WMO
Yang, G., Chang, J., Wang, Y., Guo, A., Zhang, L., Zhou, K., & Wang, Z. (2024). Understanding drought propagation through coupling spatiotemporal features using vine copulas: A compound drought perspective. Science of the Total Environment, 921, 171080. https://doi.org/10.1016/j.scitotenv.2024.171080
            
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