- Article
16 Pages
The application of artificial intelligence (AI) to rainfall–runoff modelling in catchments has attracted increasing attention in recent years because of its ability to represent complex hydrological relationships with relatively low computational requirements. This study presents a surrogate modelling framework for estimating mean daily streamflow in gauged catchments using machine learning (ML) and deep learning (DL) approaches. The methodology was applied to the Mocoa River basin in Putumayo, Colombia. Several ML algorithms were trained, validated, and tested to assess their predictive performance. In addition, DL models were implemented and evaluated for comparison with the ML approaches. The results indicated that the DL models provided better predictive performance than the ML models considered in this study. In particular, the Gated Recurrent Unit (GRU) model achieved the lowest RMSE, with a value of 18.36 m3/s, whereas the best-performing ML model, the Interactions Linear Model, achieved an RMSE of 40.00 m3/s. The models were developed using daily rainfall records from two rain-gauge stations and mean daily streamflow records from one stream-gauging station. The proposed methodology provides a computationally efficient approach for streamflow estimation in catchments with available hydrometeorological records. The surrogate modelling framework may support applications in hydrological assessment, water-resource management, and flood-risk analysis by providing timely estimates of mean daily streamflow. It may also offer a practical modelling approach for environmental agencies, water-resource managers, and other stakeholders requiring streamflow information to support hydrological decision-making.
Geosciences
2 November 2026



![(A) Location of the Galician (Galicia) and Cantabrian (Asturias, Cantabria, and the Basque Country) rocky coasts in southwest Europe. The coastline under study is delineated in yellow in Figure 1A. (B) Bio-provinces extend from the subtropics (where the Gulf Stream begins) to the Polar Regions in the North Atlantic. The coasts and continental shelf of NW Spain are classified as warm-temperate [5]. (C) The area under study is in the northwest of the Iberian Peninsula, as delineated in a darker shade of gray. (D) The following geographical references and coastal stretches are included: Rias Bajas (Ria of Arosa), Rias Centrales and Rias Altas. The simplified geological distribution for these regions was obtained from [6,7]. Roncadoiro Point, which replaces Cape Estaca de Bares, can be considered the easternmost limit of the Galician coast, where the Cantabrian Sea (Bay of Biscay) begins to the east (France).](https://mdpi-res.com/geosciences/geosciences-16-00453/article_deploy/html/images/geosciences-16-00453-g001-550.jpg)





![Base-colored shaded bathymetric map of the northeastern Tyrrhenian Sea between the ports of Civitavecchia and Anzio (blue squares), and grey-shaded topographic map of the adjacent Italian Peninsula at the latitude of the city of Rome (red star). The gray square outlines the study area investigated in this work, where the Flavia Seamount is located. The pink hexagon indicates the “Torre Flavia” LTER-Italy site [27]. Brown contour lines represent isobaths (contour interval at 100 m). Yellow lines indicate selected Sparker seismic profiles acquired by CNR in 1985. The lower panels show the low-resolution bathymetry of the study area before the Ifigenia [28] and WOMBlue [29] expeditions: (left) multibeam survey lines acquired during Ifigenia (solid black lines) and WOMBlue (black dashed lines); (center) magnetometer survey lines acquired during Ifigenia (solid red lines); (right) sub-bottom profiler (Chirp) survey lines acquired during Ifigenia (solid magenta lines) and WOMBlue (magenta dashed lines). Bathymetric data were obtained from the European Marine Observation and Data Network (EMODnet) [32] and used to generate a 2D digital elevation model using Global Mapper software (version 26.1) [33]. The adopted coordinate reference system is UTM Zone 32N (WGS84). The color palette used in this figure is “Roma” [34].](https://mdpi-res.com/geosciences/geosciences-16-00312/article_deploy/html/images/geosciences-16-00312-g001-550.jpg)
