APPLICATION OF REMOTE SENSING FOR ADJUSTMENT AND CALIBRATION OF WATER QUALITY MODEL - Integrating GIS, Remote Sensing, and Mathematical Modelling for Surface Water Quality Management - page 175

8.5.3. Spatial Validation of Hydrodynamic Model Using TSM Patterns Comparison
As presented in the hydrodynamic modelling section, the model was calibrated for the Manning
roughness coefficient. Since extra data sets for validation were not available, the remote sensing data
was used in the validation of the model. Therefore, an initial step before spatial and temporal
calibration procedures of the TSM and CHL-a models was to use the remote sensing data in the spatial
validation of the hydrodynamic model. This was done through correlating the model time series TSM
patterns and the MODIS time series based TSM maps. A correlation matrix was developed between
both data sets and the descriptive statistical analysis results showed an average correlation coefficient
value of R 2 = 0.73. Table (8-2) shows the developed correlation matrix. A correlation image was
developed from the statistical analysis of the staked time series images that shows the spatial
distribution of the correlation coefficients; Figure (8-18) . The correlation image is a representation of
the matrix. The dimension of the image is nb by nb where nb is the number of bands correlated or the
number of bands of the input dataset.
Table (8-2): Correlation matrix of the model time series patterns and the MODIS time series
Figure (8-18): The correlation image of the whole dataset including
Model result and MODIS time series
The spatial distribution of the TSM patterns is highly affected by the hydrodynamic characteristics of
the model, which is mainly forced by wind as described in the hydrodynamic modelling section. In