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Standardized precipitation evapotranspiration index (SPEI) revisited: parameter fitting, evapotranspiration models, tools, datasets and drought monitoring
Abstract
48 págs., 25 figs. Available online 21 December 2013. The definitive version is available at: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0088
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“High ambient temperatures are associated with worse sleep quantity and quality. 101–106”
From The 2024 report of the Lancet Countdown on health and climate change: facing record-breaking threats from delayed action (2024) · cites this paper as [105]
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Yang, J.-M., Xue, X., Ma, T.-J., Cen, Y.-Q., Luo, Z.-X., & Chen, Y.-Z. (2026) · Journal of Agronomy and Crop Science · doi:10.1111/jac.70248
Song, W.-Q., Luo, Y.-P., Wang, Z.-G., Li, Z.-S., Wang, X.-C., & Wu, X.-C. (2026) · Global Change Biology · doi:10.1111/gcb.71105
Wang, H., Wang, F.-Q., Xu, C.-Y., Zhao, H., Huang, S.-Z., Yang, H., Zhang, H.-L., Cui, L.-B., & Du, Y.-T. (2026) · Journal of Hydrology · doi:10.1016/j.jhydrol.2026.136473
Panday, D. P., & Kumar, M. (2026) · Groundwater for Sustainable Development · doi:10.1016/j.gsd.2026.101685
Kareem, H. H., Khayyat, H. A., Gaznayee, H. A. A., Alqrinawi, F., Aziz, T. A., Zaki, S. H., Mohammad, R. K., Hakzi, K. K., & Crespi, M. (2026) · Meteorological Applications · doi:10.1002/met.70265
Zarzosa, P. S., Arana, A., Durán, J., Villar, R., Bastias, C. C., Jentsch, A., Wolff, P., Herraiz, A. D., Muñoz, D. U., Cruz, G., et al. (2026) · Journal of Biogeography · doi:10.1111/jbi.70346
Altarhouni, L. A. M. (2026) · Tobruk University Journal of Engineering Sciences · doi:10.64516/tujes.v7i2.81
“The SPEI values were computed using the R package 'SPEI' (Beguería et al., 2014), with potential evapotranspiration estimated via the Thornthwaite equation.”
Alnahit, A. (2026) · Atmosphere · doi:10.3390/atmos17090853
Cheng, C., Zuo, H., Zhang, Y.-Q., Cai, J., Lu, L., & Li, X.-J. (2026) · Environmental Health Perspectives · doi:10.1021/ehp.6c00861
Mentzafou, A., Dimitriou, E., Παπαδόπουλος, Α., & Katsafados, P. (2026) · Hydrology · doi:10.3390/hydrology13090232
Chakraborty, A., Pathak, B., Singh, B. B., & Bhuyan, P. K. (2026) · Theoretical and Applied Climatology · doi:10.1007/s00704-026-06525-z
“…has increased the frequency of standardised way to assess precipitation anomalies, it can be used to compare the severity of drought across geographical areas with varied climates, whereas the SPEI incorporates data on precipitation and potential evapotranspiration (PET) (Beguería et al. 2014).”
InfluentialImpacts of droughts on biomass burning emissions, air quality, and public health in the Amazon
Ng, L. T. H., Mao, J., Liu, X., Zhai, S., Fawcett, D., Sitch, S. A., Aragão, L. E. O. C., & Tai, A. P. K. (2026) · Atmospheric chemistry and physics · doi:10.5194/acp-26-11835-2026
Jakubczyk, T., & Leśny, J. (2026) · Water · doi:10.3390/w18162047
“The SPEI [7,11] includes evapotranspiration in addition to daily precipitation totals for the analyzed period.”
Zarei, A. R. (2026) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2026.182207
Laidi, Y., Bouchti, N. E., Abbas, Y., Benhssaine, K., & El-Mderssa, M. (2026) · Ecological Engineering & Environmental Technology · doi:10.12912/27197050/226093
“…BFAST family (Verbesselt et al., 2010, 2012), the PELT change-point algorithm (Killick et al., 2012; Truong et al., 2020) and the multi-scale SPEI (Beguería et al., 2014; Vicente-Serrano et al., 2010) together provide a mature analytical toolkit that has been validated at biome scale but not…”
Oubadi, M. (2026) · Theoretical and Applied Climatology · doi:10.1007/s00704-026-06493-4
Çelik, M. (2026) · Theoretical and Applied Climatology · doi:10.1007/s00704-026-06470-x
“SPEI is more effective than other indices, especially PDSI, in identifying hydrological drought and distinguishing drought types (Beguería et al. 2014).”
Liu, H.-M., Zhang, Y., Wang, H.-Q., Li, D.-M., Ji, R., & Chen, X. (2026) · Journal of entomological science · doi:10.18474/jes25-54
Zhao, S., Wang, K.-Y., Zhang, X., Shang, G., Liu, C.-Y., Cui, T.-Y., & Ren, J. (2026) · Land · doi:10.3390/land15081406
Kourgialas, N. (2026) · Climate · doi:10.3390/cli14080158
“The original SPEI formulation and subsequent methodological work also show that results depend on the method used to estimate atmospheric evaporative demand and to fit the underlying probability distribution [63,64].”
Huang, X., Li, X.-H., Song, Y., Lv, Z., Xu, L.-G., & Zhang, D. (2026) · Journal of Hydrology: Regional Studies · doi:10.1016/j.ejrh.2026.103623
Wu, M., Roscher, C., Schädler, M., Tarkka, M. T., Vetterlein, D., & Schlüter, S. (2026) · Agricultural Water Management · doi:10.1016/j.agwat.2026.110536
Lima, C. F. S., Silveira, C., Costa, A. C., & Ribeiro, G. (2026) · Journal of Hydrology: Regional Studies · doi:10.1016/j.ejrh.2026.103676
González-López, H., Essenfelder, A., Sapino, F., Rivas-Tabares, D., Bodoque, J., & Pérez-Blanco, C. (2026) · Agricultural Water Management · doi:10.1016/j.agwat.2026.110582
Gao, F., Pan, J.-Y., Wang, J., Wu, F.-Z., Deng, Y.-C., Ma, J., Chen, A., & He, S.-L. (2026) · Agricultural Water Management · doi:10.1016/j.agwat.2026.110602
Multi-decadal drought variability and regime dynamics in Darfur, Sudan (1981–2025)
Ahmed, A., & Czimber, K. (2026) · Journal of Arid Environments · doi:10.1016/j.jaridenv.2026.105708
Sreelakshmi, P., & Sawant, S. (2026) · Geoenvironmental Disasters · doi:10.1186/s40677-026-00402-7
“It considers precipitation variability as well as increased atmospheric evaporative demand through potential evapotranspiration (PET) under warming climates (Vicente-Serrano et al. 2010; Beguería et al. 2014).”
Chen, H., Tuo, Y., Boers, N., & Disse, M. (2026) · Journal of Hydrology · doi:10.1016/j.jhydrol.2026.136153
Boukhalfa, S., & Bougherara, A. (2026) · Ecological Engineering & Environmental Technology · doi:10.12912/27197050/225418
“…the Palmer Drought Severity Index, and a growing-season Standardized Precipitation Evapotranspiration Index (Vicente-Serrano et al., 2010; Beguería et al., 2014), and tested the SPEI–vegetation relationship at the annual scale following the rationale that vegetation responds to drought…”
Parveen, A., Azhar, M., Gulistan, M., Ali, M., & Farooque, A. (2026) · Water resources management · doi:10.1007/s11269-026-04866-y
Concepcion, R., Domingo, J. P. S., Orario, H., Pacheco, P. R. D. C., Solis, K., & Alfonso, N. (2026) · Journal of Trace Elements in Medicine and Biology · doi:10.1016/j.jtemb.2026.127941
Recovery time patterns of vegetation productivity following anomalies preceding abrupt declines
Wei, M., Li, H., Wan, X., Zhu, L., Meng, W., & Feng, J. (2026) · Journal of Environmental Management · doi:10.1016/j.jenvman.2026.130667
Li, X.-L., Kusche, J., Jin, T., Zhong, Y., & Gutknecht, B. (2026) · Earth and Space Science · doi:10.1029/2026ea005082
“Beyond hydrology, ET also support applications in climate analysis, drought monitoring, and land‐atmosphere coupling studies (Beguería et al., 2014; Tabari & Hossein-zadeh Talaee, 2014; Zhou et al., 2023).”
Ambs, D., Caicoya, A. T., Peters, R. L., Biber, P., Schmied, G., Hilmers, T., Uhl, E., Tomelleri, E., Steinacker, L., & Pretzsch, H. (2026) · Journal of Ecology · doi:10.1111/1365-2745.70426
“To quantify the dynamic climatic conditions and water availability during our survey period, we used the Standardised Precipitation Evapotranspiration Index (SPEI; Beguería et al., 2014 ).”
Drought Analysis Using Machine Learning and Deep Learning on Climatic and Remote Sensing Data
Mallik, R., Behera, D. K., & Mohanty, S. (2026) · 2026 International Conference on Advancements in Smart, Secure and Intelligent Computing (ASSIC) · doi:10.1109/assic70037.2026.11717291
“[9] 3) Normalized Difference Vegetation Index: The Normalized Difference Vegetation Index (NDVI) is derived from satellite-based red and near-infrared reflectance and serves as a proxy for vegetation health and density.”
Huang, X.-M., Xu, X.-B., Che, J., Zeng, G., Lv, Y., Qian, J.-R., & Ye, M. (2026) · Forests · doi:10.3390/f17080889
Temperature-induced shift in 21st-century Amazon droughts
Albuquerque, R., dos Santos, D. D., Miranda, V., Peres, L., Trigo, R., Nunes, A., Liberato, M., Gouveia, C., & Libonati, R. (2026) · Scientific Reports · doi:10.1038/s41598-026-62139-5
“…a fixed surface resistance of 70 s m −1 , and an albedo of 0.23) rather than ecosystem-specific parameters, this approach effectively isolates purely atmospheric forcing from the complex biophysical dynamics of the AB 79 , allowing for a standardized spatial comparison across different regions 92 .”
InfluentialSpatial Assessment of Future Drought Risk in Agricultural Lands: A CMIP6-Based Analysis
Şekeroğlu, A., & Karlı, R. G. Ö. (2026) · Tarım Bilimleri Dergisi · doi:10.15832/ankutbd.1842184
Olaleye, O. S., Faloye, O. T., Adeyeri, O. E., Akintola, O. A., Ogunrinde, A. T., Adabembe, B. A., Babalola, T. E., & Akinremi, J. O. (2026) · AgriEngineering · doi:10.3390/agriengineering8080307 · Cited by 1
Nahidi, N., Zech, W. C., Kamali, M. I., & Nazari, R. (2026) · Pure and Applied Geophysics · doi:10.1007/s00024-026-04045-5 · Cited by 1
“Since standardized drought indices such as SPEI exhibit substantial interannual variability and oscillatory behavior around zero (Beguerı´a et al., 2014; Spinoni et al., 2013), regression-based goodness-of-fit metrics such as R 2 may remain relatively low even when gradual long-term trends are…”
Simon, C., Tariq, A., Msigwa, A., Mwaijengo, G., & Komakech, H. (2026) · Earth Systems and Environment · doi:10.1007/s41748-026-01327-9
“…temperature-based approaches such as the Thornthwaite method, the Hargreaves formulation has lower data requirements and has been reported to provide reasonable agreement with FAO PM estimates in semi-arid environments (Beguería et al. 2014; Droogers and Allen 2002; Harg-reaves and Allen 2003).”
Lei, J.-S., Zhang, H.-L., Ji, X.-J., Liang, H.-L., Zhu, X., Yu, H., & Wang, L. (2026) · Theoretical and Applied Climatology · doi:10.1007/s00704-026-06437-y
Upama, S. A., & Islam, A. R. M. T. (2026) · Theoretical and Applied Climatology · doi:10.1007/s00704-026-06426-1
“An SPEI of 0 signifies a number that corresponds to the 50th percentile of the cumulative probability of D, based on a Log-logistic distribution (Beguería et al. 2014).”
Liu, M., Wu, W.-X., Zhang, Z., Ren, X., Wang, K., Cheng, J., Yang, B., & Geng, J. (2026) · Water · doi:10.3390/w18141745
Walù, C. E., & Faye, C. (2026) · Water Practice & Technology · doi:10.2166/wpt.2026.383
Choi, C., Kim, M.-S., Yoon, J.-H., Kim, H., & Jeong, J.-H. (2026) · Environmental Research Letters · doi:10.1088/1748-9326/ae8c54
Siddiqui, M. H., Assiri, M. E., Saeed, S., Ali, M. A., Rafei, M. E., Bahamdan, S., Alqahtani, A., Alhaidari, A., Alsalhi, A., Alzahrani, O., et al. (2026) · Proceedings of the Indian Academy of Sciences, Earth and Planetary Sciences · doi:10.1007/s12040-026-02890-5
“SPEI was introduced to address these limitations by incorporating both precipitation and potential evapotranspiration (PET) into a standardised water-balance framework (Vicente-Serrano et al. 2010; Beguer (cid:2) ıa et al. 2013).”
Rubangakene, D., Lamaro, G. P., Girma, A., & Zenebe, A. (2026) · PLOS Climate · doi:10.1371/journal.pclm.0000944
Choudhury, B. U., Mandal, S., Narzari, R., Zafar, M., & Bal, S. K. (2026) · Journal of Environmental Management · doi:10.1016/j.jenvman.2026.130430
Kamruzzaman, M., Hasnat, J., & Bhuiyan, N. I. (2026) · Theoretical and Applied Climatology · doi:10.1007/s00704-026-06418-1
Metadata
- Authors
- Beguería, S., Vicente-Serrano, S. M., Reig, F., & Latorre, B.
- Affiliations
- Estación Experimental de Aula Dei, Consejo Superior de Investigaciones Científicas (EEAD-CSIC); Zaragoza Spain
- Consejo Superior de Investigaciones Científicas (ES)
- Venue
- International Journal of Climatology
- Publisher
- Wiley
- Published
- 2013-12-21
- Volume
- 34
- Issue
- 10
- Pages
- 3001-3023
- ISSN
- 0899-8418 (ISSN-L)
- OpenAlex
- W2165772416
- Cited by
- 2,128
- References
- 0
- Citations by year
- 2026: 300 · 2025: 284 · 2024: 290 · 2023: 246 · 2022: 252 · 2021: 195 · 2020: 174 · 2019: 135 · 2018: 104 · 2017: 61 · 2016: 48 · 2015: 32 · 2014: 5
- FWCI
- 21.61
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Climatology (publishedVersion)
- DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion)
- Funders
- European Commission (LIFE MEDACC)
- Spanish Commission of Science and Technology (CGL2011-27574-CO2-02)
- Spanish Commission of Science and Technology and FEDER (CGL2011-24185, CGL2011-27536)
- Topics
- Physical Sciences › Environmental Science › Global and Planetary Change › Hydrology and Drought Analysis
- Physical Sciences › Environmental Science › Global and Planetary Change › Climate variability and models
- Physical Sciences › Environmental Science › Global and Planetary Change › Plant Water Relations and Carbon Dynamics
- Keywords
- Standardized Precipitation Evapotranspiration Index, drought monitoring, evapotranspiration modeling, parameter fitting, drought indices, climate data tools
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