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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.

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Main: The plot of the variance of the near surface temperature fluctuations versus the length scale L of the randomly chosen rectangular regions within which the temporal averages are also taken.ERAInterim data set is considered for its higher resolution and statistics. The solid line shows the best power-law fit to our data with an exponent 1.55(5), followed by a dashed line extrapolated to larger length scales. Inset: The same analysis for other data sets JRA-55 (diamonds) and NCEP (squares) which, due to their less resolution, show a relatively poor statistics rather than the data set used in the main panel.
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f5: Main: The plot of the variance of the near surface temperature fluctuations versus the length scale L of the randomly chosen rectangular regions within which the temporal averages are also taken.ERAInterim data set is considered for its higher resolution and statistics. The solid line shows the best power-law fit to our data with an exponent 1.55(5), followed by a dashed line extrapolated to larger length scales. Inset: The same analysis for other data sets JRA-55 (diamonds) and NCEP (squares) which, due to their less resolution, show a relatively poor statistics rather than the data set used in the main panel.

Mentions: Figure 5 shows the results of the power-law analysis for near surface temperatures from ERAInterim. The universal scaling exponent for temperature variances is ~1.55(5). As a result of sparse resolution of ERAInterim (~0.75° × 0.75°) the smallest box has a length Lmin = 83 km and the ensemble size reduces after shorter iteration than in the ETOPO2v2 (dashed line in Fig. 5). We also examined the analysis using two additional data sets, namely, i) NCEP Reanalysis 2 data23 and ii) the Japanese 55-year Reanalysis (JRA-55) data24. JRA-55 data has a horizontal resolution of 1.25° × 1.25° and NCEP Reanalysis 2 data 2.5° × 2.5° (Fig. 5).


Emergence of global scaling behaviour in the coupled Earth-atmosphere interaction
Main: The plot of the variance of the near surface temperature fluctuations versus the length scale L of the randomly chosen rectangular regions within which the temporal averages are also taken.ERAInterim data set is considered for its higher resolution and statistics. The solid line shows the best power-law fit to our data with an exponent 1.55(5), followed by a dashed line extrapolated to larger length scales. Inset: The same analysis for other data sets JRA-55 (diamonds) and NCEP (squares) which, due to their less resolution, show a relatively poor statistics rather than the data set used in the main panel.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f5: Main: The plot of the variance of the near surface temperature fluctuations versus the length scale L of the randomly chosen rectangular regions within which the temporal averages are also taken.ERAInterim data set is considered for its higher resolution and statistics. The solid line shows the best power-law fit to our data with an exponent 1.55(5), followed by a dashed line extrapolated to larger length scales. Inset: The same analysis for other data sets JRA-55 (diamonds) and NCEP (squares) which, due to their less resolution, show a relatively poor statistics rather than the data set used in the main panel.
Mentions: Figure 5 shows the results of the power-law analysis for near surface temperatures from ERAInterim. The universal scaling exponent for temperature variances is ~1.55(5). As a result of sparse resolution of ERAInterim (~0.75° × 0.75°) the smallest box has a length Lmin = 83 km and the ensemble size reduces after shorter iteration than in the ETOPO2v2 (dashed line in Fig. 5). We also examined the analysis using two additional data sets, namely, i) NCEP Reanalysis 2 data23 and ii) the Japanese 55-year Reanalysis (JRA-55) data24. JRA-55 data has a horizontal resolution of 1.25° × 1.25° and NCEP Reanalysis 2 data 2.5° × 2.5° (Fig. 5).

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.


Related in: MedlinePlus