Integration of spatial functional interaction in the extrapolation of ocean surface temperature anomalies due to global warming

► Spatial functional time series theory is applied for stochastic extrapolation. ► Cross validation procedures are applied to test the proposed methodology. ► Mean annual daily temperature maps are constructed based on SARH(1) estimation. ► Global warming damps sea-air temperature differences in Hawaii Ocean and Gulf of Mexico. ► Marine climate change affects Australian Ocean temperatures, warming faster the east.