主权项 |
1. A method for improving the accuracy of a numerical model by estimating uncertainty for gridding algorithms comprising:
creating a bathymetry grid of a water body, the created bathymetry grid having grid points and a pre-selected grid point spacing, the created bathymetry grid being based on observed bathymetry, the observed bathymetry including observed bathymetry depths, observed depth locations, estimated horizontal uncertainty of the observed bathymetry depths, and estimated vertical uncertainty of the observed bathymetry depths; calculating a gridded slope of the bottom of the water body based on the bathymetry grid; and estimating uncertainty of the observed bathymetry based on the bathymetry grid and the gridded slope by (a) creating a triangular irregular network (TIN) for every grid point in the bathymetry grid, the TIN being based on the observed depth locations used to compute the bathymetry grid, (b) determining an encompassing triangle connecting the observed depth locations surrounding each of the grid points in the bathymetry grid, (c) calculating a distance from each of the grid points to each vertex of the encompassing triangle, (d) computing a distance dependent uncertainty for each vertex of the encompassing triangle based on the estimated vertical uncertainty, the distances, the estimated horizontal uncertainty, the gridded slope, and the pre-selected grid point spacing, and (e) computing a point uncertainty estimate for each of the grid points based on inverse distance weighting of the squared distance dependent uncertainties. |