Poster's note : this reminds me of an earlier paper which successfully
simplified climate models by making  assumptions about turbulent heat
transfer. Sadly, I've lost it!

http://onlinelibrary.wiley.com/doi/10.1002/2014GL062589/abstract

The hydrological sensitivity to global warming and solar geoengineering
derived from thermodynamic constraints

Axel Kleidon, Ben Kravitz and Maik Renner
Geophysical Research Letters

Kleidon,[email protected]

doi: 10.1002/2014GL062589

Accepted manuscript online: 16 DEC 2014 12:27AM EST

Keywords:

hydrologic cycle;climate change;geoengineering;thermodynamics

(remarkable editing fail - >) Abstarct

We derive analytic expressions of the transient response of the
hydrological cycle to surface warming from the surface energy balance in
which turbulent heat fluxes are constrained by the thermodynamic limit of
maximum power. For a given steady-state temperature change, this approach
predicts the transient and steady-state response of surface energy
partitioning and the hydrologic cycle. We show that the predicted
hydrological sensitivities to greenhouse warming and solar geoengineering
are comparable to the results from climate model simulations of the
Geoengineering Model Intercomparison Project (GeoMIP). Although not all
effects can be explained, our approach nevertheless predicts the general
trend as well as the magnitude of the changes in the global-scale
hydrological cycle surprisingly well. This implies that much of the
global-scale changes in the hydrologic cycle can be robustly predicted by
the response of the thermodynamically-constrained surface energy balance to
altered radiative forcing.

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