Long-Range Persistence in Global Surface Temperatures Explained by Linear Multibox Energy Balance Models

Long-Range Persistence in Global Surface Temperatures Explained by Linear Multibox Energy Balance... AbstractThe temporal fluctuations in global mean surface temperature are an example of a geophysical quantity that can be described using the notions of long-range persistence and scale invariance/scaling, but this description has suffered from lack of a generally accepted physical explanation. Processes with these statistical signatures can arise from nonlinear effects, for instance, through cascade-like energy transfer in turbulent fluids, but they can also be produced by linear models with scale-invariant impulse–response functions. This paper demonstrates that, on time scales from months to centuries, the scale-invariant impulse–response function of global surface temperature can be explained by simple linear multibox energy balance models. This explanation describes both the scale invariance of the internal variability and the lack of a characteristic time scale of the response to external forcings. With parameters estimated from observational data, the climate response is approximately scaling in these models, even if the response function is not chosen to be scaling a priori. It is also demonstrated that the differences in scaling exponents for temperatures over land and for sea surface temperatures can be reproduced by a version of the multibox energy balance model with two distinct surface boxes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Climate American Meteorological Society

Long-Range Persistence in Global Surface Temperatures Explained by Linear Multibox Energy Balance Models

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Publisher
American Meteorological Society
Copyright
Copyright © American Meteorological Society
ISSN
1520-0442
eISSN
1520-0442
D.O.I.
10.1175/JCLI-D-16-0877.1
Publisher site
See Article on Publisher Site

Abstract

AbstractThe temporal fluctuations in global mean surface temperature are an example of a geophysical quantity that can be described using the notions of long-range persistence and scale invariance/scaling, but this description has suffered from lack of a generally accepted physical explanation. Processes with these statistical signatures can arise from nonlinear effects, for instance, through cascade-like energy transfer in turbulent fluids, but they can also be produced by linear models with scale-invariant impulse–response functions. This paper demonstrates that, on time scales from months to centuries, the scale-invariant impulse–response function of global surface temperature can be explained by simple linear multibox energy balance models. This explanation describes both the scale invariance of the internal variability and the lack of a characteristic time scale of the response to external forcings. With parameters estimated from observational data, the climate response is approximately scaling in these models, even if the response function is not chosen to be scaling a priori. It is also demonstrated that the differences in scaling exponents for temperatures over land and for sea surface temperatures can be reproduced by a version of the multibox energy balance model with two distinct surface boxes.

Journal

Journal of ClimateAmerican Meteorological Society

Published: Sep 6, 2017

References

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