EOF, a widely used statistical tool for multivariate analysis70, was used to decompose the synoptic data of co-varying variables in the water column affected by multiple factors into different orthogonal (independent) modes with particular sets of eigenvectors, eigenvalues, and eigenweightings. The higher the eigenvalue of an eigenmode is, the more co-variability among parameters this mode explains. In this study, salinity and temperature measured at each cast were regarded as the river plume variables to determine water column variability caused by the interplay between plume hydrodynamics and physical processes21,23,24.
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