Solution of a model for the oceanic pycnocline depth: Scaling of overturning strength and meridional pressure difference
Article first published online: 4 SEP 2004
Copyright 2004 by the American Geophysical Union.
Geophysical Research Letters
Volume 31, Issue 17, September 2004
How to Cite
2004), Solution of a model for the oceanic pycnocline depth: Scaling of overturning strength and meridional pressure difference, Geophys. Res. Lett., 31, L17302, doi:10.1029/2004GL020678., and (
- Issue published online: 4 SEP 2004
- Article first published online: 4 SEP 2004
- Manuscript Accepted: 5 AUG 2004
- Manuscript Received: 4 JUN 2004
 We present an analysis of the model by Gnanadesikan  for the pycnocline depth in the ocean. An analytic solution for the overturning strength as a function of the meridional pressure difference is derived and used to discuss their mutual scaling. We show that scaling occurs only in two unphysical regimes of the model. In the absence of the Southern Ocean (SO) processes, i.e., for a northern overturning cell, the volume transport is proportional to the square root of the pressure difference. Linear scaling is seen when the overturning is restricted entirely to the SO, i.e., when no northern downwelling exists. For comparison, we present simulations with the coupled climate model CLIMBER-3α which show linear scaling over a large regime of pressure differences in the North Atlantic (NA). We conclude that the pycnocline model is not able to reproduce the linear scaling between its two central variables, pressure and volume transport.