Submitted:
12 June 2025
Posted:
13 June 2025
Read the latest preprint version here
Abstract

Keywords:
1. Introduction
2. Materials and Methods
2.1. Preliminaries
2.1.1. Criteria for Study Area Selection
2.1.2. Gathering and Preparation of Input Data
- Digital Elevation Models (DEM) at least medium resolution (between 10 and 30 m) are required, such as global models (SRTM, ASTER, ALOS, FABDEM- COPERNICUS);
- Land Cover information is necessary to identify the presence of structures such as houses, buildings, roads, vegetation zones, and water bodies in the study area;
- Tree height information (Canopy Height Model) to perform altimetric correction of global models, due to the fact that these models, being surface models, take into account the heights of elements on the ground, such as vegetation and buildings. Several global CHM products can be used to correct tree elevations in global [30,31,32]
- Thematic vector information such as roads, streets, buildings and rivers is very important to identify key terrain elements, this information is available through OpenStreetMap;
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Topographic information is required for both the flood plains and the riverbed, collected in the field with precision equipment such as GNSS-RTK or Total Station, with which an accuracy (<10 cm) can be obtained, to adjust and validate the elevation models. Requirements of the topographic survey to be carried out are detailed below.Topographic survey should collect as much information and detail of the configuration and elements of the study area as possible. The survey should be well planned, the method and equipment for the survey should be chosen, and the equipment should be tested for performance and accuracy. Perform an analysis of the land cover in the study area (classified image) to locate the terrain elements that are important for the accuracy of the terrain models and for land use planning and modeling purposes, such as: vegetation, infrastructure, roads, dams, rivers, canals, etc. This is to plan the survey campaigns and to be able to represent these terrain elements.In the case of GNSS-RTK surveys, the base point must be identified, which must be a point of known coordinates, such as those belonging to the national geodetic or leveling networks. The points close to the study area should be identified, and the point where the base station will be located should be chosen, taking into account the reception conditions. The base station should be located in an area preferably higher than the area where the points are going to be surveyed, to improve the reception of the equipment and its communication with the ROVER. The base station should not be located near tall trees or between buildings, and the base should not be located under high-voltage power transmission lines or very close to radio antennas, since these generate waves that can interfere with the communication radius between the base and the ROVER. Site safety considerations must also be considered when selecting the base station.
2.2. DEM Error Analysis
2.2.1. Error Calculation
2.2.2. Error metrics
2.2.3. Error Map
2.2.4. Binary Error Map
2.3. DEM Vertical Correction Method
- Vegetation heights removal. This step consists of subtracting from the DEM the vegetation heights of the CHM. This operation is done by means of a raster calculator tool, subtracting the CHM from the DEM. In this step, a DEM with removed vegetation heights is obtained.
- Outliers Correction.This process is done to eliminate outliers in the distribution of elevations from the DEMs. This correction is done by applying the 3-sigma criterion. This criterion states that all values of a data distribution must be located between the limits: average - 3 standard deviations to average + 3 standard deviations, and any value located outside these limits is considered an outlier [36]. This criterion has been applied in multiple DEM correction cases [37,38,39]. In the present methodology, this criterion is applied to correct outliers in DEMs after performing the subtraction of vegetation heights, using an algorithm that goes through the DEM pixel by pixel comparing the value with the 3-sigma calculated for that DEM, where it finds a pixel with a higher value, that value is replaced by the 3-sigma value;
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Unsupervised adjustment. With the DEM resulting from the previous step, the adjustment of the DEM with the surveyed terrain points is performed. This stage is called unsupervised because it is performed by error maps generated with different interpolation methods. In which more of the parameters that can be adjusted of the interpolation method, there is no total control of the result that these interpolations will generate, but they constitute a good approximation of the surface adjustment.The process begins evaluating the binary map, if it is 0 the correction is to subtract from the DEM the absolute value of the error map at the corresponding pixel, if it is 1 the correction is to add the absolute value of the error map to the DEM. In each case, a raster grid is generated containing the adjusted value in the corresponding pixels and the other pixels are left without values. Then the two generated raster are joined to create the final DEM. This process can be seen schematically in Figure 2;
- Supervised adjustment. This step becomes necessary due to the errors that may be left over from the interpolation process performed to generate the error maps, and that consequently propagate to the DEM adjustment. The process starts with the creation of Voronoi polygons [40,41] from the terrain points. Once generated, the polygons are sorted and grouped by elevation ranges to create homogeneous elevation zones. Then, each polygon is assigned a value that is going to establish an elevation limit for each zone. These polygons are then rasterized, taking the established elevation limit value. Taking the raster of the Voronoi polygons as a mask, the DEM is traversed with a moving window of 3x3 (9 pixels), this amount is taken to have enough information to recalculate the pixels that will be used in the DEM. The value of each DEM pixel is compared with the value of the polygon raster, if a DEM pixel (i,j) is found to exceed the limit value established by the mask, that pixel is eliminated and recalculated with the average of the 8 surrounding pixels (Equation 4), this process is done iteratively until no more values are found within the DEM that exceed the corresponding elevation limit in each zone indicated by the polygon mask.
3. Results
3.1. Preliminaries
3.1.1. Study Area
3.1.2. Information Gathered and Processed
- Digital Elevation Models (DEM’s), SRTM Figure 4 b (Shuttle Radar Topographic Mission), which is the most widely used global distribution model for hydrodynamic modeling exercises [37,43], and the FABDEM (Forest And Building Removed DEM) [15], which has been gaining great popularity for application in hydrodynamic modeling exercises, because it has a significant improvement in vertical accuracy, concerning global models of similar resolution such as SRTM, ASTER, ALOS [15,44], were used. Figure 4 shows the cropping of the DEMs in the study area;
- The European Space Agency (ESA) ESA WorldCover 2021 v200 [45] was used as a basis to generate a classified map of the study area. The land cover map can be seen in Figure 5 a;
- The Global Forest Canopy Height Model, 2019 from GLAD- Global Land Analysis and Discovery [31] was used. Figure 5 b shows the croping of the study area;
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The field topographic information was surveyed in two campaigns carried out in the study area, one in September 2022 and the other in March 2023. The topographic points were surveyed with GNSS-RTK in dynamic mode, with TOPCON Hyper V equipment, which has a horizontal accuracy of 0.005 m and vertical accuracy of 0.01 m [46].For the location of the base station, the database with the points belonging to the national active and passive leveling network of Colombia of the Instituto Geográfico Agustín Codazzi (IGAC). This points can be viewed through the data portal Colombia en Mapas. The points near the study area were located, and the point belonging to the MAGNA ECO ACTIVE NETWORK (11°30’47.58123"N -72°52’10.95231"W) located at University of La Guajira, this point was chosen because it is located on the roof of a building, which offers an advantage in terms of the signal range of the base equipment and its link with the ROVER, also at this point there were security conditions to leave the equipment without the need for a person in charge of its security, while the survey of the points was being carried out.The location of the points was determined in the planning of the survey, where the land cover identified in the area was taken into account, and the aim was to have points in all the identified zones. A series of points were located on the classified map, covering all land cover categories, and that these were equidistant from each other. However, in the execution of the survey it was not always possible to follow what was planned, so the location was quasi-random due to accessibility limitations due to flooded areas, public order situations in the territory, and vegetation conditions, which limited the reception of the GNSS-RTK equipment. The survey was done by traveling through the study area, depending on the accessibility conditions, in some areas by vehicle (motorcycle) and in others by walking. Points were surveyed in areas of interest (i.e. plains, near areas of thick vegetation, embankments, roads, housing areas, elevated areas), trying to capture with the best possible detail the terrain configuration. The ROVER equipment was constantly checked to ensure that it was operating under optimal conditions of satellite reception and connection with the base station.Figure 6 shows the points surveyed in the study area, which totaled 1016, including terrain points, elevation points of terrain structures, and river points.
3.2. DEM error spatial analysis
3.3. Output of Proposed Method
4. Discussion
4.1. Input Data Used and Processing
4.2. DEM Correction and Error Evaluation
5. Conclusions
Acknowledgments
Conflicts of Interest
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| METRICS | DEM | |
| FABDEM | SRTM | |
| MAE | 1.031 | 0.595 |
| RMSE | 1.785 | 2.550 |
| BIAS | -0.602 | 0.365 |
| METRICS | DEM | |||||
| FABDEM | SRTM | |||||
| ORIG | CORR | % | ORIG | CORR | % | |
| MAE | 1.031 | 0.260 | 74.793 | 0.595 | 0.240 | 59.612 |
| RMSE | 1.785 | 0.838 | 53.028 | 2.550 | 1.044 | 59.075 |
| BIAS | -0.602 | 0.021 | 0.365 | 0.149 | ||
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