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