Atlantis operating model equations
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| 2 Process equations
2.1 Growth of primary producers  (C.29)
with PX is the maximum growth rate, the nutrient limitation factor due to nitrogen is given by:  (C.30)
(where DIN=NH+NO) except for those primary producers which are also limited by the availability of Si then nutrient limitation is given by:  (C.31)
and light limitation is given by:  (C.32)
with the representing the half saturation constants for the respective processes, and space limitation as follows:  (C.33)
where substrate is the proportion of the available space that is of the correct substrate type to support this type of primary producer and habdegrad is the scalar for local habitat degradation scenarios (see equation 4.1 in the main text for the equation used). These last two only apply to macrophytes. Using the above formulations for growth and nutrient limitation the nutrient uptake functions for the primary producer PX are given by:  (C.34)
 (C.35)
where NH,PX is the half saturation constant for the uptake of NH. In addition, for PL and MB there is the uptake of Si as follows:  (C.36)
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