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Herein I propose a multi-scale dynamical analysis to facilitate the physicalinterpretation of tide gauge records. The technique uses graphical diagrams. Itis applied to six secular-long tide gauge records representative of the worldoceans: Sydney, Pacific coast of Australia; Fremantle, Indian Ocean coast ofAustralia; New York City, Atlantic coast of USA; Honolulu, U.S. state ofHawaii; San Diego, U.S. state of California; and Venice, Mediterranean Sea,Italy. For comparison, an equivalent analysis is applied to the Pacific DecadalOscillation (PDO) index and to the Atlantic Multidecadal Oscillation (AMO)index. Finally, a global reconstruction of sea level and a reconstruction ofthe North Atlantic Oscillation (NAO) index are analyzed and compared: bothsequences cover about three centuries from 1700 to 2000. The proposedmethodology quickly highlights oscillations and teleconnections among therecords at the decadal and multidecadal scales. At the secular time scales tidegauge records present relatively small (positive or negative) accelerations, asfound in other studies. On the contrary, from the decadal to the secular scales(up to 110-year intervals) the tide gauge accelerations oscillate significantlyfrom positive to negative values mostly following the PDO, AMO and NAOoscillations. In particular, the influence of a large quasi 60-70 year naturaloscillation is clearly demonstrated in these records. The multiscale dynamicalevolutions of the rate and of the amplitude of the annual seasonal cycle of thechosen six tide gauge records are also studied.

Multi-scale dynamical analysis (MSDA) of sea level records versus PDO, AMO, and NAO indexes