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132                                                        The Toxicology of Fishes



                                                           Piscivores
                                                     0.10             0.60
                                                           0.30


                                                           Omnivores
                                                      0.50          0.35

                                                             0.15
                                             Benthivores                 Planktivores

                                            0.85                  0.10
                                                       0.10
                                                                              0.90
                                                  0.05
                                              Benthos                     Plankton





                                              Sediment                     Water

                       FIGURE 3.31 Schematic representation of a food wed bioaccumulation model. Numbers indicate the fractional contribu-
                       tion of each contaminant source to the diet of biota. Arrows without numbers designate equilibrium partitioning relationships.

                        The following section summarizes the model-based equations of a generalized food web model adapted
                       from Thomann et al. (1992a) and Gobas (1993). This model can be viewed conceptually as a series of
                       compartments linked by transport pathways (Figure 3.31). Compartments that correspond to biota are
                       based on assumed feeding habits. Sediment and water compartments act as sources of chemical con-
                       tamination. Generally, contaminant concentrations in sediment and water are specified as input param-
                       eters.  These concentrations may be based on measured values for a site of interest or obtained as
                       predictions from a fate and transport model (see Chapter 14). In addition to the pathways shown in
                       Figure 3.31, the model also calculates chemical concentrations in fish tissues that result from exposure
                       to a contaminant dissolved in the water column. More complex food web models are available, such as
                       those based on species- and age-specific bioaccumulation (Connolly, 1991).
                       Plankton and Benthos
                       Contaminant concentrations in plankton and benthos are calculated from equilibrium partitioning rela-
                       tionships based on organism lipid content and the bioavailable chemical concentration in water and
                       sediment pore water, respectively. For the simplified model in Figure 3.31, contaminant concentrations
                       are assumed to be equal in phytoplankton and zooplankton. This simplification may be reasonable for
                       chemicals such as PCBs that partition rapidly and exhibit little or no biomagnification between phy-
                       toplankton and zooplankton (Gobas, 1993; Oliver and Niimi, 1988). The assumption of equilibrium
                       partitioning may depend on the rate of uptake relative to the rate of growth of biomass. Swackhamer
                       and Skoglund (1993) concluded that the establishment of an equilibrium was unlikely under conditions
                       of rapid phytoplankton growth.

                       Benthivores, Planktivores, Omnivores, and Piscivores
                       Predator trophic groups are defined by their prey selection. Contaminant concentrations in predator
                       trophic groups (C ) are calculated as the ratio of chemical intake (from water [k ] and food [k ]) to
                                                                                                 uf
                                                                                     uw
                                    f
                       chemical elimination (due to excretion [k ] and egestion [k ]) and growth dilution (k ):
                                                                                         g
                                                                     eg
                                                       ex
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