Apart from the modifications added in this paper, the model setup is the same as in Ward et al. 2012 and we direct the reader to the online supplemental material of the paper for further details on the original equations and parameters values or to the supplement material of this paper (Appendix 1) for further details on the modifications applied to some of the equations. Following the same configuration as Ward et al. 2012 and Talmy et al. 2016 most of the plankton parameters are size dependent and followed an allometric relationship: