Fig. 4: The sea surface temperature (SST) tendency analysis at the example atmospheric river (AR) active location \(\left(3{5}^{\circ }{{{{{{{\rm{N}}}}}}}},15{1}^{\circ }{{{{{{{\rm{W}}}}}}}}\right)\) labeled as the red cross in Fig. 1a.
From: Response of sea surface temperature to atmospheric rivers

a Anomalous local SST tendency \({\dot{\overline{\Theta }}}_{{{{{{{{\rm{loc}}}}}}}}}\), SST tendency due to surface fluxes \({\dot{\overline{\Theta }}}_{{{{{{{{\rm{atm}}}}}}}}}\), and SST tendency due to ocean modification \({\dot{\overline{\Theta }}}_{{{{{{{{\rm{ocn}}}}}}}}}\). The decomposition is defined in Equation (17). b Anomalous \({\dot{\overline{\Theta }}}_{{{{{{{{\rm{atm}}}}}}}}}\) and its decomposition as in Equation (15). c Anomlaous \({\dot{\overline{\Theta }}}_{{{{{{{{\rm{ocn}}}}}}}}}\) and its decomposition as in Equation (16). The bars and whiskers show the mean values and one standard deviation of the grouped data, and the numbers in parenthesis show the number of valid years used to do the calculation. We first compute the mean and standard deviation of a specific time range (Oct–Mar, Dec–Jan, etc) of each year. We discard years with fewer than 5 AR days within the selected months. Then, the derived mean values of each valid year are used to compute the average of means and standard error, i.e., the confidence of the estimate.