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Analysis and Modeling of the Natural Variability of Climate

Analysis and Modeling of the Natural Variability of Climate After removing annual variability, power spectral analyses of local atmospheric temperature from hundreds of stations and ice core records have been carried out from timescales of 1 day to 200 kyr. A clear sequence of power-law behaviors is found as follows: 1) from 40 kyr to 200 kyr a flat spectrum is observed, 2) from 2 kyr to 40 kyr the spectrum is proportional to f −−2 where f is the frequency, and 3) below timescales of 2 kyr the power spectrum is proportional to f −−1/2 . At timescales of less than 1 month the authors observe that the power spectra of continental stations become propotional to f −−3/2 while maritime stations continue to have power spectra proportional to f −−1/2 down to timescales of 1 day. To explain these observations, the authors model the variations in the transport of heat in the turbulent atmosphere by including a noise in the heat flux of a flux-gradient parameterization of convective transport, leading to a stochastic diffusion equation for temperature fluctuations. A correlation analysis of temperature fluctuations vertically in the atmosphere from the TIROS operational vertical sounder is carried out to verify the diffusion model and to estimate the coefficient of vertical eddy diffusivity in the atmosphere. The power spectrum of temperature fluctuations at the earth’’s surface expected from this model in a two-layer geometry with thermal and eddy diffusion properties appropriate to the atmosphere and ocean and a radiation boundary condition at the top of the atmosphere exhibits the same spectral form as observed in the instrumental and ice core data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Climate American Meteorological Society

Analysis and Modeling of the Natural Variability of Climate

Journal of Climate , Volume 10 (6) – May 23, 1995

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Publisher
American Meteorological Society
Copyright
Copyright © 1995 American Meteorological Society
ISSN
1520-0442
DOI
10.1175/1520-0442(1997)010<1331:AAMOTN>2.0.CO;2
Publisher site
See Article on Publisher Site

Abstract

After removing annual variability, power spectral analyses of local atmospheric temperature from hundreds of stations and ice core records have been carried out from timescales of 1 day to 200 kyr. A clear sequence of power-law behaviors is found as follows: 1) from 40 kyr to 200 kyr a flat spectrum is observed, 2) from 2 kyr to 40 kyr the spectrum is proportional to f −−2 where f is the frequency, and 3) below timescales of 2 kyr the power spectrum is proportional to f −−1/2 . At timescales of less than 1 month the authors observe that the power spectra of continental stations become propotional to f −−3/2 while maritime stations continue to have power spectra proportional to f −−1/2 down to timescales of 1 day. To explain these observations, the authors model the variations in the transport of heat in the turbulent atmosphere by including a noise in the heat flux of a flux-gradient parameterization of convective transport, leading to a stochastic diffusion equation for temperature fluctuations. A correlation analysis of temperature fluctuations vertically in the atmosphere from the TIROS operational vertical sounder is carried out to verify the diffusion model and to estimate the coefficient of vertical eddy diffusivity in the atmosphere. The power spectrum of temperature fluctuations at the earth’’s surface expected from this model in a two-layer geometry with thermal and eddy diffusion properties appropriate to the atmosphere and ocean and a radiation boundary condition at the top of the atmosphere exhibits the same spectral form as observed in the instrumental and ice core data.

Journal

Journal of ClimateAmerican Meteorological Society

Published: May 23, 1995

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