Geography

Geography

Investigating ET and Cp climatic comfort indices based on quantile regression using temperature, humidity, and wind speed (A case study of Babolsar)

Document Type : Research Article

Authors
1 Department of Geography and Urban Planning, University of Mazandaran, Babolsar
2 Department of Water Engineering, Sari Agricultural Sciences and Natural Resources University, Sari, Iran
10.22034/jiga.2026.2076099.1457
Abstract
Extended Abstract
Introduction
Climate change, driven by anthropogenic activities and amplified by urban morphology, is profoundly impacting human life. The increase in global temperatures, coupled with the urban heat island effect, is leading to the emergence of more frequent and intense heat-related risks. Bioclimatic indices, based on meteorological variables like temperature, humidity, and wind, are essential for evaluating thermal stress in urban environments and guiding sustainable management strategies. In the context of accelerating climate change, the study of future bioclimatic comfort under various emission scenarios (optimistic, moderate, and pessimistic) has become increasingly critical. While numerous studies have examined historical and future urban climatic comfort, many have focused on mean trends in time series data. However, climate change is known to increase the frequency and intensity of extreme weather events. Therefore, analyzing the impact of extreme high and low values of climatic variables on comfort indices is of paramount importance. Unlike traditional regression methods, quantile regression offers a powerful tool to investigate patterns of change across the entire distribution of a dataset—particularly the extremes. This approach can reveal how different quantiles (e.g., low, medium, and high) of independent climatic variables influence the dependent comfort index, providing crucial insights into the effects of severe weather (both hot and cold). Mazandaran Province, is a major tourist destination, renowned for its coastal and natural attractions. Babolsar, with the longest coastline in northern Iran, is a prime location for coastal tourism. As global temperatures rise, studying thermal stress and climatic comfort in these tourism-dependent areas becomes essential. Despite numerous studies on climate change and thermal comfort indices, a comprehensive, localized analysis of future thermal stress and comfort, especially for Iran's northern coastal regions, remains scarce. This study aims to fill this gap by applying multiple Shared Socioeconomic Pathways (SSPs) and quantile regression to analyze changes in bioclimatic comfort indices in Babolsar for both historical and future periods, offering an innovative and practical approach for adaptation planning.

Material and Methods
The study focuses on Babolsar (36°43'N, 52°39'30"E), a coastal city on the southern Caspian Sea with a humid temperate climate, average annual temperature of 17.8°C, and about 939 mm of precipitation. Two primary datasets were employed: (1) historical daily meteorological data (temperature, humidity, wind speed) from the Babolsar synoptic station (1987–2014), and (2) future climate projections (2020–2099) from the Coupled Model Intercomparison Project Phase 6 (CMIP6) under three SSP scenarios—optimistic (SSP1-2.6), moderate (SSP2-4.5), and pessimistic (SSP5-8.5). Among eight CMIP6 models evaluated for accuracy in Iran, the GFDL-ESM4 model was selected for its complete data, relatively high accuracy (R²=0.7), and appropriate resolution. Bias correction and downscaling to the station level were performed using bilinear interpolation in R. Two comfort indices were calculated: (a) Effective Temperature (ET), which integrates temperature and humidity (ET = T - 0.4(T - 10)(1 - RH/100)), with categories from "Very Hot" to "Very Cold"; and (b) Baker's Bioclimatic Index (Cp), designed for tourist comfort (Cp = (0.26 + 0.34V^0.632)(36.5 - T), where V is wind speed), with categories from "Hot, Unpleasant" to "Unbearable, Very Cold". The core analytical method was quantile regression, which estimates conditional quantiles (e.g., 5th, 50th, 95th percentiles) rather than just the conditional mean. This allows detection of significant trends across the full distribution (0.01 to 0.99 quantiles) for both historical and future periods.

Results and Discussion
The resuts revealed between 1987 and 2014, mean daily temperatures rose significantly across all quantiles, with the most pronounced warming (0.048°C/year) occurring on the coldest days. Concurrently, relative humidity declined—especially at lower quantiles—while wind speeds increased. The ET index refelected this warming trend, again strongest for cooler days, suggesting a reduction in cold extremes. Interestingly, Baker’s Index showed a historical increase in lower and medium quantiles, indicating a trend toward cooler days, which appeared beneficial. Future projections, however, diverge sharply by emissions scenario. Under the optimistic SSP1-2.6, temperatures continue rising in the near


future (2021–2060) but at a slower rate, with no significant trend expected by 2061–2100. In contrast, the moderate SSP2-4.5 and especially the pessimistic SSP5-8.5 project intensified warming, particularly for lower quantiles. Humidity projections are mixed under optimistic and moderate scenarios (with some high-quantile increases), but the pessimistic scenario foresees significant decreases, especially for medium and high quantiles. Wind speed trends are negligible under SSP1-2.6, slightly negative under SSP2-4.5, and complex under SSP5-8.5 (decreasing near-term, increasing far-term but with weaker slopes than historically). For the ET index, SSP1-2.6 shows near-term warming but far-term stabilization. Under SSP2-4.5 and particularly SSP5-8.5, strong increasing trends emerge across all quantiles, with far-future slopes reaching up to 0.56°C/year—signaling a dramatic rise in hot days. Starkly, Baker’s Index—historically trending toward cooler days—reverses under all future scenarios, showing decreasing trends across most quantiles, indicating a shift toward warmer conditions. This decline intensifies under SSP5-8.5 (slopes up to -0.062), implying a notable reduction in cool and cold days. Quantile regression revealed that ordinary least squares (OLS) mean trends often misrepresented median or extreme trends, underscoring the insufficiency of mean-only analyses. Under SSP5-8.5, upper ET quantiles intensify fastest near-term (0.3/year), while lower quantiles also rise dramatically far-term (0.07/year), eroding cooler days. For the comfort parameter (Cp), negative slopes under SSP5-8.5 are strongest for upper quantiles far-term, signaling a near-total loss of very cool days.

Conclusion
This study investigated historical and future climatic comfort using meteorological data and advanced statistical methods. Two primary datasets were utilized: historical daily weather records (temperature, humidity, wind speed) from 1987-2014 obtained from the local synoptic station, and future climate projections for 2020-2099 derived from the CMIP6 database. Among eight assessed models, the GFDL-ESM4 was selected for its accuracy (R²=0.7) and data completeness. Bias correction and downscaling were performed using bilinear interpolation in R. To evaluate human comfort, two bioclimatic indices were calculated. The Effective Temperature (ET) integrates temperature and humidity to classify comfort from "Very Hot" to "Very Cold." Baker's Bioclimatic Index (Cp) assesses tourist comfort by incorporating wind speed and temperature, with categories ranging from "Hot, Unpleasant" to "Unbearable, Very Cold." These indices were applied to both historical and future data under three Shared Socioeconomic Pathways (SSPs): a low-emissions (SSP1-2.6), moderate (SSP2-4.5), and high-emissions (SSP5-8.5) scenario. The core analytical method was quantile regression, which estimates relationships across different percentiles (e.g., 5th, 50th, 95th) of the dependent variable distribution. This approach is superior to ordinary least squares for climate studies because it captures changes in extreme values—critical for assessing climate impacts. The analysis identified significant trends across quantiles (0.01 to 0.99) for climatic variables and comfort indices over both historical and future periods, enabling a comprehensive understanding of how both average conditions and extremes may shift under different emission pathways.
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Amin, A. & Mourshed, M. (2024). Weather and climate data for energy applications. Renewable and Sustainable Energy Reviews, 192, 114247. https://doi.org/10.1016/j.rser.2023.114247
Amiri, F., Lashgari, H., Ghorbanian, G. & Morshedi, J. (2020). The effect of climate change on rainfed wheat crop calendar (Chamran cultivar) Dezful case study (Article type: Research). Geography, 18 (65), 6-18. (in persian) https://dor.isc.ac/dor/20.1001.1.27172996.1399.18.2.1.8
Asadi, M. & Karami, M. (2022). Modeling of relative humidity trends in Iran. Modeling Earth Systems and Environment, 8 (1), 1035-1045. https://doi.org/10.1007/s40808-021-01093-9
Asghari, M., Ghalhari, G. F., Ghanadzadeh, M., Moradzadeh, R., Tajik, R., Samadi, S. & Heidari, H. (2023). Modelling of thermal discomfort based representative concentration pathways (RCP) scenarios in coming decades using temperature-humidity index (THI) and effective temperature (ET): a case study in a semi-arid climate of Iran. Air Quality, Atmosphere and Health. 1-11. https://doi.org/10.1007/s11869-023-01335-y
Behzadi, F., Javadi, S., Yousefi, H., Hashemy Shahdany, S. M., Moridi, A., Neshat, A. & Maghsoudi, R. (2024). Projections of meteorological drought severity-duration variations based on CMIP6. Scientific Reports, 14 (1), 5027. https://doi.org/10.1038/s41598-024-55340-4x
Ben-Salha, O., Zmami, M., Waked, S. S., Raggad, B., Najjar, F. & Alenazi, Y. M. (2025). Assessing the Impacts of Transition and Physical Climate Risks on Industrial Metal Markets: Evidence from the Novel Multivariate Quantile-on-Quantile Regression. Atmosphere, 16 (2), 233. https://doi.org/10.3390/atmos16020233
Bhati, N. & Sheth, A. (2026). Occupational heat stress and adaptation among outdoor workers: a narrative review of global evidence and policy responses. International Journal of Biometeorology, 70 (1), 19. https://doi.org/10.1007/s00484-025-03101-4
Çağlak, S. & Türkeş, M. (2023). Spatial Distribution and Future Projections of Thermal Comfort Conditions during the Hot Period of the Year in Diyarbakır City, Southeastern Turkey. Sustainability, 15 (13), 10473. https://doi.org/10.3390/su151310473
Calhoun, Z. D., Willard, F., Ge, C., Rodriguez, C., Bergin, M. & Carlson, D. (2024). Estimating the effects of vegetation and increased albedo on the urban heat island effect with spatial causal inference. Scientific Reports, 14 (1), 540. https://doi.org/10.1038/s41598-023-50981-w
Duan, Q., McGrory, C. A., Brown, G., Mengersen, K. & Wang, Y. G. (2022). Spatio-temporal quantile regression analysis revealing more nuanced patterns of climate change: A study of long-term daily temperature in Australia. Plos one, 17 (8), e0271457. https://doi.org/10.1371/journal.pone.0271457
Eludoyin, O. M., Adelekan, I. O., Webster, R. & Eludoyin, A. O. (2013). Air temperature, relative humidity, climate regionalization and thermal comfort of Nigeria. International Journal of Climatology, 34 (6), 2000-2018. https://doi.org/10.1002/joc.3817
Eskandari Damane, H., Zehtabian, G., Khosravi, H., Azarnivand, H. & Barati, A. A. (2020). Simulation and forecasting of climatic components of temperature and precipitation in arid regions (Case study: Minab plain). Geography, 18 (66), 110-128. (in persian) https://dor.isc.ac/dor/20.1001.1.27172996.1399.18.3.7.6
Fotso-Nguemo, T. C., Vondou, D. A., Diallo, I., Diedhiou, A., Weber, T., Tanessong, R. S. & Yepdo, Z. D. (2022). Potential impact of 1.5, 2 and 3 C global warming levels on heat and discomfort indices changes over Central Africa. Science of the Total Environment, 804, 150099.
Gagnon, D., Schlader, Z. J. & Jay, O. (2026). The physiology behind the epidemiology of heat-related health impacts. Physiology, 41 (1), 30-42. https://doi.org/10.1152/physiol.00012.2025
Gu, Y. & You, X. Y. (2022). A spatial quantile regression model for driving mechanism of urban heat island by considering the spatial dependence and heterogeneity: An example of Beijing, China. Sustainable Cities and Society, 79, 103692. https://doi.org/10.1016/j.scs.2022.103692
 
Hajifathali, M., faizi, M. & dehaghan, A. (2022). The Relationship between Air Temperature, mean Radiant Temperature and Albedo in the Reduction of Thermal Island in Cities. Geography, 19 (71), 173-191. (in persian)
Hedjazizadeh, Z., Karbalaee, A. & Kazemiazarr, M. (2025). Investigating the Impact of Climate Change on Extreme Precipitation Events in East Azerbaijan Province. Geography, 22(83), 1-20. (in persian) https://doi.org/10.22034/jiga.2025.2048574.1363
Hejazizadeh, Z. & Karbalaie, A. (2023). Thermal comfort in Iran. Geography, 13 (46), 21-39. (in persian)
Helali, J., Oskouei, E. A., Hosseini, S. A., Saeidi, V. & Modirian, R. (2022). Projection of changes in late spring frost based on CMIP6 models and SSP scenarios over cold regions of Iran. Theoretical and Applied Climatology, 149 (3), 1405-1418.  https://doi.org/10.1007/s00704-022-04124-2
Hu, B., Cutler, M. E. & Morel, A. C. (2026). Spatiotemporal dynamics of heat stress and cold stress on UK rapeseed cropping over 1961–2020. Scientific Reports, 16, 12263. https://doi.org/10.1038/s41598-026-41957-7
Huang, L., Lee, S. S. & Timmermann, A. (2021). Caspian Sea and Black Sea Response to Greenhouse Warming in a High‐Resolution Global Climate Model. Geophysical Research Letters, 48 (4), e2020GL090270.  https://doi.org/10.1029/2020GL090270
Isinkaralar, O. (2023). Bioclimatic comfort in urban planning and modeling spatial change during 2020–2100 according to climate change scenarios in Kocaeli, Türkiye. International Journal of Environmental Science and Technology, 20 (7), 7775-7786. https://doi.org/10.1007/s13762-023-04992-9
Isinkaralar, O. (2024). Discovery of spatial climate parameters and bioclimatic comfort change simulation in Türkiye under socioeconomic pathway scenarios: A basin-scale case study for urban environments. Natural Hazards, 120 (2), 1809-1819. https://doi.org/10.1007/s11069-023-06237-x
Jia, Y. & Jeong, J. H. (2020). Deep learning for quantile regression under right censoring: DeepQuantreg. arXiv preprint arXiv:2007.07056.
Khazaei Faizabad, E., Pudineh, M. R. & Hamidianpour, M. (2020). Investigating the effect of climate change on Caravander river runoff. Geography, 17 (63), 161-178. (in persian)
Koenker, R. & Bassett, G. (1978). Regression quantiles. Econometrica, 46, 33-50.
Koenker, R. (2005). Quantile regression. first ed, New York, Cambridge University Press, 1-25.
Lavrov, A. S. & Sterin, A. M. (2024). Detailing Climatic Trends of Temperature and Precipitation in the Territory of the Russian Federation Using Quantile Regression and Clustering. Izvestiya, Atmospheric and Oceanic Physics, 60 (Suppl 1), S30-S45. https://doi.org/10.1134/S0001433824700543
Mazidi, A., Omidvar, K., Malek Ahmadi, A. & Hosseini, S. S. (2021). Evaluation of bioclimatic indicators affecting human comfort (Case study: Urmia). Geography and Human Relationships, 4 (2), 155-175. https://doi.org/10.22034/gahr.2021.286618.1560
Mir, F., Khosravi, M. & Shoja, F. (2025). Assessment of Optimal Climatic Comfort Indices and Future Projections of Heat Stress in Zahedan: A Strategic Approach to Climate Change Adaptation. Geography and Territorial Spatial Arrangement, 15 (54), 1-32. (in persian) https://doi.org/10.22111/gaij.2025.50467.3247
Mohammadi, B., Barnameh, S. & Matzarakis, A. (2021). Temporal and spatial analysis of thermal stress and its trend in Iran. Meteorological Applications, 28 (1), e1977. https://doi.org/10.1002/met.1977
Nazari, M., Mosaedi, A. & Ghabaei Sough, M. (2026). Detecting climate changes during the past half century in some number of synoptic stations in Iran. Nivar, 50 (132-133), 153-175. (in persian) https://doi.org/10.30467/nivar.2025.529236.1339
 
Nazemosadat, M. J., Heidari, A. & Mehravar, S. (2022). Assessing Climate Change in the Middle East from the Perspective changes in Air Temperature, Relative Humidity and Vector Wind: Land, Sea and atmosphere Interactions.  https://doi.org/10.21203/rs.3.rs-1330480/v1
Over, T., Marti, M., Ortiz, J. & Podzorski, H. (2025). The joint effect of changes in urbanization and climate on trends in floods: A comparison of panel and single-station quantile regression approaches. Journal of Hydrology, 648, 132281. https://doi.org/10.1016/j.jhydrol.2024.132281
Ramezani, G. B. (2010). A Survey on Planning Human Bioclimatic Comfort for Ecotourism (Case Study: Gilan, Iran-South West of Caspian Sea). Iranian Journal of Tourism & Hospitality Islamic Azad University,Garmsar Branch, 1 (1), 27-36. https://sid.ir/paper/321482/en
Roșu, C., Mihăilă, D. & Bistricean, P. I. (2022). Evaluation of the bioclimate of submontane resorts located between Sucevița and Slănic Moldova based on the THI index. Geo Review, 32 (1), 4. http://dx.doi.org/10.4316/GEOREVIEW.2022.01.02
Solaimani, K., Ahmadi, S. B. & Shokrian, F. (2024). The spatiotemporal trend changes of extreme temperature-humidity variables and their impact on climatic comfort changes. Ecological Indicators, 158, 111629. http://dx.doi.org10.21203/rs.3.rs-2419746/v1
Soltani, K., Masoompour Samakosh, J., Mojarrad, F., Hadi Pour, S. & Jalilian, A. (2024). Spatial Changes of Seasonal Reference Evapotranspiration in Iran Based on CMIP6 Models. Journal of the Earth and Space Physics, 49 (4).  https://doi.org/10.22059/jesphys.2023.364373.1007556
Staffa, S. J., Kohane, D. S. & Zurakowski, D. (2019). Quantile regression and its applications: a primer for anesthesiologists. Anesthesia & Analgesia, 128 (4), 820-830. https://doi.org/10.1213/ANE.0000000000004017
Torki, F., Mojtabazadeh Khanghahi, H. & Rezaei, H. (2023). Identifying the temperature threshold limit and thermal islands of Kerman city with an emphasis on changes in the landscape of the land. Geography, 21 (79), 175-187. (in persian)
Ullah, S., Aldossary, A., Ullah, W. & Al-Ghamdi, S. G. (2024). Augmented human thermal discomfort in urban centers of the Arabian Peninsula. Scientific Reports, 14 (1), 3974. https://doi.org/10.1038/s41598-024-54766-7
Zabihi, O. & Ahmadi, A. (2024). Multi-criteria evaluation of CMIP6 precipitation and temperature simulations over Iran. Journal of Hydrology: Regional Studies, 52, 101707. https://doi.org/10.1016/j.ejrh.2024.101707
Zare, M., Bejestan, M. S., Adib, A. & Beygipoor, G. (2022). Analysis of Future Precipitation and Temperature Change and Its Implication on Doroodzan Dam, Iran. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 1-13.‏ https://doi.org/10.1007/s40996-022-00903-z
Zhang, J., You, Q., Ren, G., Ullah, S., Normatov, I. & Chen, D. (2023). Inequality of global thermal comfort conditions changes in a warmer world. Earth's Future, 11 (2), e2022EF003109. https://doi.org/10.1029/2022EF003109
Zhao, Q., Lian, Z. & Lai, D. (2021). Thermal comfort models and their developments: A review. Energy and Built Environment, 2 (1), 21-33. https://doi.org/10.1016/j.enbenv.2020.05.007
Zhu, L., Fang, W., Rahman, S. U. & Khan, A. I. (2023). How solar-based renewable energy contributes to CO2 emissions abatement? Sustainable environment policy implications for solar industry. Energy & Environment, 34 (2), 359-378.