Equable climates: a meridional flux paradox?

<p>A commonly found property of warmer climates on Earth is the tendency, principally through polar amplification, towards more equable conditions with reduced meridional temperature contrasts. Numerical climate models historically have had quite some difficulty in reproducing meridional temperature gradients as low as those suggested by various proxies.<br>It seems self-evident that an equable climate is governed by enhanced meridional fluxes of heat, to sustain mild high latitude temperatures while keeping low latitudes from becoming exceedingly warm. However, a common hypothesis, borrowed from turbulence theory, is that the meridional heat flux is proportional to the meridional temperature gradient. A more equable climate should, therefore, exhibit reduced rather than enhanced meridional heat fluxes, posing a physical paradox.</p><p>Here, we use a unique set of long and well equilibrated (~25.000 years combined) climate simulations for various past periods using the CESM1. In terms of complexity and resolution, this climate model is comparable to the CMIP5 suite. Comparing the modelled climates of the Eocene (~40Ma), Oligocene (~30Ma), Pliocene (3Ma), pre-industrial era and present-day equilibrium climate confirms the hypothesis that warmer and more equable states overall feature weaker meridional heat fluxes (Figure 1).<br>This effectively shows that meridional heat fluxes on a global scale are a result of, rather than the driver of the climate state. It is, therefore, the regional radiative balance that determines the temperature distribution and by extension the meridional heat flux. Still, the different components of that flux (atmospheric vs oceanic; sensible vs latent) are crucial in shaping the climate and these are strongly dependent on the background state. Meanwhile, a strongly divergent behaviour is seen in response to an imposed RCP8.5 future scenario which drives the model far from equilibrium. In this presentation, we will address why all of the cases follow a similar slope (with a different reference) in the considered para-meter space, the roles of related heat flux components, and the processes responsible.</p><p>Using appropriate boundary conditions, sufficient resolution and an adequate level of equilibration, the model is able to reproduce the warmer and more equable climates of the past. This gives confidence that the physics determining the modelled climate states under a widely varying external forcing are sound and should help us understand meridional temperature gradients in a future warmer climate.</p><p><img 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