Abstract

Abstract A new three-dimensional method is proposed for calculating the annual mean subduction and obduction rate in the ocean and applied to the North Pacific Ocean. Due to the beta spiral, the subducted/obducted water at a given station can spread over/come from a wide range with different densities in the subsurface ocean. This new method can provide the three-dimensional feature of subduction/obduction and more accurate distribution of the annual subduction/obduction rate in density space. The spatial patterns of annual subduction/obduction rate obtained from both the classical and new methods are similar, although at individual stations the rate can be different; however, the new 3D method can greatly improve the density structure of subducted/obducted water mass. In spite of the assumption of idealized fluid in most previous studies, our analysis showed that subducted water masses can change their density due to diapycnal mixing, especially for water masses subducted at relatively shallow depths. In the North Pacific, the subduction process mainly takes place for about 1–2 months in most of the subtropical basin, while the time window for obduction is ∼100 days in the major obduction regions. Based on the SODA monthly mean climatology, the subducted/obducted water in the North Pacific is primarily distributed at depths of 80–120 m. Significance Statement The annual mean subduction/obduction rate is a term quantifying the large-scale irreversible downward/upward water transport between the mixed layer and the permanent pycnocline; these processes are crucially important for climate and the biogeochemical cycle in the oceans. However, the widely used classical Lagrangian method for calculating the annual subduction/obduction rate does not take the three-dimensional structure of ocean currents into consideration, which may induce errors in the destinations/sources of subducted/obducted water masses and the associated water properties. This study is focused on refining the three-dimensional features of subduction/obduction and providing a more accurate distribution of the annual subduction/obduction rate in the density space. In addition, the time window for subduction/obduction and the distribution of subducted/obducted water in the ocean interior are explored based on the SODA monthly mean climatology.

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