“…Data assimilation, which refers to methodologies that systematically combine a mathematical model with observations, is often used in biogeochemical applications Friedrichs, 2001, 2002) to improve estimates of model parameters that are frequently poorly known (Lawson et al, 1995(Lawson et al, , 1996Matear, 1995;Fennel et al, 2001;Friedrichs, 2002;Schartau and Oschlies, 2003;Hemmings et al, 2004;Bagniewski et al, 2011;Doron et al, 2013;Xiao and Friedrichs, 2014a, b;Melbourne-Thomas et al, 2015;Song et al, 2016;Gharamti et al, 2017;Schartau et al, 2017). This entails a smoothing or optimization procedure, in which elements of the model are adjusted to minimize differences between the model output and the observations.…”