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Emergence of global scaling behaviour in the coupled Earth-atmosphere interaction

View Article: PubMed Central - PubMed

ABSTRACT

Scale invariance property in the global geometry of Earth may lead to a coupled interactive behaviour between various components of the climate system. One of the most interesting correlations exists between spatial statistics of the global topography and the temperature on Earth. Here we show that the power-law behaviour observed in the Earth topography via different approaches, resembles a scaling law in the global spatial distribution of independent atmospheric parameters. We report on observation of scaling behaviour of such variables characterized by distinct universal exponents. More specifically, we find that the spatial power-law behaviour in the fluctuations of the near surface temperature over the lands on Earth, shares the same universal exponent as of the global Earth topography, indicative of the global persistent role of the static geometry of Earth to control the steady state of a dynamical atmospheric field. Such a universal feature can pave the way to the theoretical understanding of the chaotic nature of the atmosphere coupled to the Earth’s global topography.

No MeSH data available.


The plot of the power spectrum S(k) versus the wave-number k for ETOPOv2v.The solid line indicates the power-law fit to our data in the scaling region followed by the extrapolated dashed line for the large length scales.
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f1: The plot of the power spectrum S(k) versus the wave-number k for ETOPOv2v.The solid line indicates the power-law fit to our data in the scaling region followed by the extrapolated dashed line for the large length scales.

Mentions: where β is the spectral exponent. The expected value for the exponent β for the Earth’s topography is believed to be 21214. Figure 1 shows the plot of the spectral analysis of the ETOPO2v2 data set. The power spectrum is averaged over all latitudes. The power-law fit of the data presents an exponent of β = 1.88(10) (the numbers in the parenthesis show the uncertainty on the last digits), which our following cross-check shows that is more reliable than the previous estimates. In the next section, the scaling in the atmospheric surface variables is studied using a different analysis that is based on the variances of different zonal transects (different scaling) of the data.


Emergence of global scaling behaviour in the coupled Earth-atmosphere interaction
The plot of the power spectrum S(k) versus the wave-number k for ETOPOv2v.The solid line indicates the power-law fit to our data in the scaling region followed by the extrapolated dashed line for the large length scales.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5036056&req=5

f1: The plot of the power spectrum S(k) versus the wave-number k for ETOPOv2v.The solid line indicates the power-law fit to our data in the scaling region followed by the extrapolated dashed line for the large length scales.
Mentions: where β is the spectral exponent. The expected value for the exponent β for the Earth’s topography is believed to be 21214. Figure 1 shows the plot of the spectral analysis of the ETOPO2v2 data set. The power spectrum is averaged over all latitudes. The power-law fit of the data presents an exponent of β = 1.88(10) (the numbers in the parenthesis show the uncertainty on the last digits), which our following cross-check shows that is more reliable than the previous estimates. In the next section, the scaling in the atmospheric surface variables is studied using a different analysis that is based on the variances of different zonal transects (different scaling) of the data.

View Article: PubMed Central - PubMed

ABSTRACT

Scale invariance property in the global geometry of Earth may lead to a coupled interactive behaviour between various components of the climate system. One of the most interesting correlations exists between spatial statistics of the global topography and the temperature on Earth. Here we show that the power-law behaviour observed in the Earth topography via different approaches, resembles a scaling law in the global spatial distribution of independent atmospheric parameters. We report on observation of scaling behaviour of such variables characterized by distinct universal exponents. More specifically, we find that the spatial power-law behaviour in the fluctuations of the near surface temperature over the lands on Earth, shares the same universal exponent as of the global Earth topography, indicative of the global persistent role of the static geometry of Earth to control the steady state of a dynamical atmospheric field. Such a universal feature can pave the way to the theoretical understanding of the chaotic nature of the atmosphere coupled to the Earth’s global topography.

No MeSH data available.