Application of Shannon Entropy and Evidential Belief Function Models in Identifying Flood Prone Areas Using a Spatial Integration and Statistical Comparison Approach (Kela Rud Watershed, Babol, Mazandaran Province)

Document Type : Research Paper

Authors

1 Associate Professor, Department of Geomorphology, Faculty of Planning and Environmental Sciences, University of Tabriz, Tabriz. Iran.

2 PhD Student in Geomorphology, Faculty of Planning and Environmental Sciences, University of Tabriz, Tabriz.Iran.

Abstract

The present study aims to identify flood prone areas and evaluate the performance of two statistical models—Shannon Entropy and Evidential Belief Function (EBF)—for flood hazard zoning in the Kela Rud watershed, Babol County, Mazandaran Province (northern Iran). To achieve this objective, a spatial integration approach in the GIS environment was employed using data derived from nine influential factors, including elevation, slope, aspect, land use, soil type, distance from rivers, distance from roads, drainage density, and the topographic wetness index (TWI). Base information was extracted from digital elevation data (DEM, 30 m), thematic maps, and Sentinel 2 satellite imagery (2023). The Shannon Entropy model, based on the probabilistic information of flood occurrence within each spatial class, calculated the informational weights of the factors. The results indicated that elevation (0.1983), aspect (0.1517), and slope (0.1423) have the greatest impact on flood occurrence. In the Evidential Belief Function (EBF) model, by computing the indices of Belief (Bel), Disbelief (Dis), and Uncertainty (Unc), the spatial distribution of flood probability was reconstructed more accurately. Statistical comparison of model performance based on AUC, RMSE, indices showed that the EBF model (AUC =0/83 RMSE =0/214) has higher accuracy than the Shannon Entropy model (AUC =0/71, RMSE =0/293) in predicting flood susceptible zones. Areas with elevations between 700–1300 m and slopes of 30–45°, mainly within villages such as Shiadeh, Anjilak, and Lamsukola, fall into the very high flood hazard class. Based on these findings, the EBF model, owing to its capability in handling uncertain data and systematically integrating spatial evidence, exhibits greater accuracy and stability in analyzing the complex hydrological systems of northern Iran. The results of this research can serve as a scientific basis for watershed management planning, flood risk monitoring, and sustainable land management in similar forested basins.

Keywords

Main Subjects


Introduction

Floods are among the most destructive natural hazards, posing severe threats to lives, infrastructure, and ecosystems—particularly in northern Iran’s humid forested catchments. The Kela Rud watershed in Babol County, Mazandaran Province, frequently experiences flash floods triggered by steep slopes, intense rainfall, and extensive land‑use modification. In this context, accurate spatial prediction of flood‑prone areas is critical for sustainable watershed management. This study integrates Geographic Information System (GIS)‑based spatial modeling with two probabilistic approaches—the Shannon Entropy (SE) and Evidential Belief Function (EBF) models—to identify and compare the efficiency of both methods in delineating flood‑hazard zones under complex topographic and hydrological conditions of the Hyrcanian forest region.                                                                                          

Method                                                                                                                                                                                                 

The research adopted a quantitative, descriptive–analytical approach based on spatial integration. A combination of remote sensing, topographic, climatic, and soil datasets was used to characterize the watershed. The modeling framework involved the extraction of nine flood‑conditioning factors: elevation, slope, aspect, land use, soil type, distance from rivers, distance from roads, drainage density, and the topographic wetness index (TWI). Elevation and terrain derivatives were extracted from the Shuttle Radar Topography Mission (SRTM) DEM with a 30‑m resolution, while land‑use and vegetation cover were derived from Sentinel‑2 imagery (2023) processed using the SNAP Toolbox and ArcGIS 10.8. Climatic data including annual precipitation (2011–2023) were obtained from synoptic and rain‑gauge stations in Babol, Bandpey, and Sangchal. Soil and geological layers were acquired from the Natural Resources and Watershed Organization (2019). The SE model calculated information weights for each factor using the entropy value of their class‑based flood frequency; EBF, based on the Dempster–Shafer theory, used belief (Bel), disbelief (Dis), and uncertainty (Unc) functions to generate the evidential flood probability surface.                                                                      

Sampling Procedures (Sample Size, Power, and Precision)                                                                                                                  

To construct and validate the models, 175 spatial points were identified, including 70 flood‑occurrence points (training samples) and 105 non‑flood points (validation samples). These were derived from historical flood records, field reports, and Google Earth Pro time‑series interpretation over the period 2012–2023. The sample distribution was designed to maintain spatial representativeness across physiographic units—mountain, hill, and terrace zones. The power and precision of the models were evaluated using Receiver Operating Characteristic (ROC) curves and the Area Under the Curve (AUC) index, supported by Root Mean Square Error (RMSE) statistics to measure predictive accuracy and model error. This dual validation process ensured unbiased comparison and cross‑validation performance assessment                                                                                                   

Mixed Methods Research                                                                                                                                                                  

Although the research is predominantly quantitative, a mixed‑methods framework was applied by integrating numerical modeling with interpretive spatial analysis. Quantitative components included probabilistic computations and statistical weight assignment in SE and EBF, while qualitative interpretation drew on geomorphological expertise and visual inspection of land‑use dynamics from high‑resolution imagery. This hybrid integration allowed the research to not only predict flood susceptibility statistically but also interpret the environmental logic behind spatial patterns. The combination of empirical evidence and expert reasoning enhanced both analytical depth and contextual reliability.                                                                                                                   

Results                                                                                                                                                                                                 

The EBF model outperformed the SE model in both prediction precision and spatial realism. Statistical validation yielded AUC = 0.83 and RMSE = 0.219 for EBF, compared with AUC = 0.71 and RMSE = 0.293 for SE. Factor‑weight comparison revealed that elevation (0.1983), aspect (0.1517), and slope (0.1423) were the dominant drivers of flood susceptibility, contributing nearly 49 % of model variance. Moderate influences were found for land use, soil, and proximity to roads (≈ 29 %), whereas drainage density, river distance, and TWI accounted for only ≈ 22 %.  Spatially, high‑risk zones with elevations of 700–1300 m and slopes of 30–45° were mainly concentrated near Shiadeh, Anjilak, and Lamsukola villages. These areas correspond to steep terrain, compact soils, and deforested agricultural land, confirming the hydrological logic behind model predictions.           

Conclusions                                                                                                                                                                                         

The integration of spatial data with probabilistic models successfully delineated flood‑susceptible zones in the Kela Rud watershed. The EBF approach, due to its ability to manage uncertainty and synthesize heterogeneous spatial evidence, demonstrated greater robustness and predictive accuracy than the Shannon Entropy model.                                                                                               

The findings underscore the dominant influence of topographic conditions and land‑use patterns in controlling surface runoff and flood potential. The resulting flood‑hazard maps can inform land‑use planning, check‑dam site selection, and community‑based risk mitigation. For future research, combining EBF with machine‑learning algorithms such as Random Forest or Support Vector Machines is recommended to further enhance model precision and adaptability to data‑scarce environments. Overall, this integrative modeling framework offers a reliable methodology for flood‑risk assessment in forested mountainous basins across northern Iran and similar humid regions worldwide.    

Araba Meri, A., Rahmani, A., & Pour Ghasemi, H. R. (2019). Flood hazard zonation using Evidential Belief Function (EBF) and Shannon Entropy models. CATENA, 180, 352–373. (In Persian).
Azareh, A., Rahmati, A., & Pour Ghasemi, H. R. (2021). Flash flood hazard modeling using Evidential Belief Function (EBF) and logistic regression in Northern Iran. Journal of Water and Environment, 34(4), 225–239. (In Persian).    
Binaghi, E., Madella, S., & Giampaolo, F. (1998). An evidential reasoning approach in GIS: flood and landslide hazards modeling. International Journal of Geographical Information Science (Int. J. GIS),12(2), 119-135.
Dano, U., Gholam Nia, K., R. H. J. Al-Abadi, A. M., & A. Al-Mousawi, A. M. (2019). Flood risk assessment frameworks: a review. Natural Hazards, 95, 1–28.
Hong, H., Li, Y., Liu, J., And Shan, Z. (2017). Flood susceptibility mapping using Shannon Entropy model and Geographic Information System (GIS). Environmental Earth Sciences, 76(6), 1–15.
Hajizadeh, F., Rahmani, A., & Araba Meri, A. (2021). Integrating fuzzy logic and Evidential Belief Function (EBF) for hydrological risk assessment in Northern Iran. Environmental Earth Sciences, 80(6), 1-15. (In Persian).
Jebur, M. N., Pradhan, B., & Tehrani, M. S. (2014). Landslide susceptibility mapping using a novel ensemble-based neuro-fuzzy model in GIS. Landslides: Journal of the International Consortium on Landslides, 11(2), 317–331.
Mazandaran Natural Resources and Watershed Management Organization. (2020/2021). Performance report for 2020/2021. (Unpublished report). Mazandaran Natural Resources and Watershed Management Organization. (In Persian).
Pour Ghasemi, H. R., Pradhan, B., Gokceoglu, C., & Moein, J. P. (2014). Application of fuzzy logic and analytical hierarchy process (AHP) for landslide susceptibility mapping in the Kerman area, Iran. Arabian Journal of Geosciences, 7(11), 4785–4799. (In Persian).
Pour Ghasemi, H. R., Araba Meri, A., & Rahmati, A. (2020). Efficiency assessment of machine learning models for flood hazard zonation in Iran. Geomatics, Natural Hazards and Risk, 11(1), 1–24. (In Persian).
Pradhan, B. (2010). Application of Shannon Entropy model for landslide susceptibility mapping. Landslides: Journal of the International Consortium on Landslides, 7(4), 317–325.
Rahmati, A., Razavi, J., Hakimi, E., & Ahmadi, S. (2016). Flood susceptibility zonation using Geographic Information System (GIS) and Multi-Criteria Decision Analysis (MCDA). Journal of Hydrology, 544, 911–923. (In Persian).
Tavakoli, A., Araba Meri, A., & Pour Ghasemi, H. R. (2022). Comparative evaluation of Shannon Entropy and Evidential Belief Function (EBF) models for geo-hazard susceptibility. Iranian Journal of Remote Sensing, 14(2), 90–108. (In Persian).
Tehrani, M. S., Jalal Zadeh, M., & Farahani, S. (2016). Comparing logistic regression, Evidential Belief Function (EBF), and Shannon Entropy models for flood hazard mapping. Journal of Hydrology, 540, 46–58. (In Persian).
World Meteorological Organization (WMO). (2021). The state of climate services 2021: Water (WMO-No. 1278).
Zhao, G., Pang, B., Xu, Z., Peng, D., Li, Y., & Cui, X. (2020). Flood susceptibility mapping using a novel deep learning model (CNN-LSTM) in a mountainous area. Journal of Hydrology, 590, 125345.