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Geologija / Geology

ISSN 1392-110X
ISSN 2029-056X (online)

2011 m. Nr. 1

Mathematical modelling of mountain height distribution on the Earth’s surface
Paulius MIŠKINIS

Analysis of the distribution of the Earth’s highest mountains shows that the Earth’s surface can be modelled by a mathematical surface which is more complicated than a usual fractal and the dimension of which is not a constant value. The deviations of the obtained approximating curve of the mountains’ height from the actual height are shown to represent a statistical noise close to 1 / f 2. The total number of mountains and the maximum possible height of a mountain on the Earth are assessed. The concept of the distribution density of mountains (orosity) is introduced, which may be useful in economic assessments.

Keywords: mountains, fractals, noise 1 / f2, mathematical modelling

Issues:

2011 - Vol.53
No. 1, No. 2, No. 3

2010 - Vol.52
No. 1-4

2009 - Vol.51
No. 1-2, No. 3-4

2008 - Vol.50
No. 1, No. 2, No. 3, No. 4, No. Priedas

2007
No. 1, No. 2, No. 3, No. 4

2006
No. 1, No. 2, No. 3, No. 4

2005
No. 1, No. 2, No. 3, No. 4

2004
No. 1, No. 2, No. 3, No. 4

2003
No. 1, No. 2, No. 3, No. 4

2002
No. 1, No. 2, No. 3, No. 4

2001
No. 1, No. 2, No. 3, No. 4