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15

                   Model calibration  and validation










                   15.1  INTRODUCTION

                   In the previous chapters, a wide range of both physically based and empirical mathematical
                   equations has been presented that may be used to model the transport and fate of substances
                   in soil and water. The equations presented can be used alone, to tackle simple problems,
                   or can be combined to construct complex spatio-temporal environmental models. Figure
                   15.1 shows an example of a water quality model including many of the transport processes
                   presented in Chapters 12, 13, and 14. The mathematical equations listed in Figure 15.1 were
                   coupled to the general one-dimensional advection–dispersion equation  and implemented
                   numerically in computer code. Subsequently, the computer model was used to simulate the
                   short-term dynamics of suspended sediment and dissolved nutrients in the surface water of
                   a rural catchment (Van der Perk, 1998). Note that although models may look impressively

                                             k                                       k
                                              a                                       d    6642  6642  6642
                                                       reaeration   denitrification



                                             F              F
                                              p              res
                                                                respiration
                               oxygen production
                                                                     k
                                                    O                 n     NO
                                                     2                        3
                                      SOD                         k s
                                                                               nitrification
                    sediment oxygen demand

                                 PO                  SS                     NH
                                  4                                           4
                     k  EPC                                                          k  EAC
                     P                                                                f
                                        decomposition       decomposition
                                            F                  F
                                             S                 R


                      phosphate fixation    sedimentation  resuspension        ammonium fixation
                   Figure 15.1  Schematic overview of a water quality model (Van der Perk, 1998). Rectangles represent state variables
                   (see Figure 15.2), arrows and schematic valves represent first-order differential equations (see Figure 15.2a), and
                   circles represent model parameters.









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