Marine phytoplankton play a key role in food webs of the oceans as they are responsible for nearly half of the earth's net primary production (Chassot et al., 2010;Field et al., 1998), and have a strong impact on climate as they are major players in the global cycles of nitrogen, phosphorus, and carbon (Beaugrand et al., 2010;Park et al., 2015). Ocean warming will likely impact phytoplankton as temperature affects phytoplankton indirectly via stratification and thus nutrient flux (Cermeño et al., 2008), as well as directly by affecting community composition and metabolic rates (Regaudie-De-Gioux & Duarte, 2012;Thomas et al., 2012). Therefore, predicting the effects of future ocean warming on marine productivity and carbon-sequestration demands a proper understanding of how temperature variation affects phytoplankton production and biomass (Taucher & Oschlies, 2011).A critical question is whether there are unimodal relations between temperature and marine chlorophyll a concentration (Chla), and if thresholds between positive and negative temperature effects can be identified. This is a critical question related to the current warming of surface waters (Cheng et al., 2019;Conroy et al., 2009), with potential abrupt changes in ecosystem processes (Beaugrand et al., 2019). Previous studies have reported negative relationships between sea-surface temperature (SST) and Chla in warm low latitude waters, while positive at high latitudes with annual or seasonal observations (