ISSN 1392-110X
ISSN 2029-056X (online)
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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
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Issues:
2011 - Vol.53 No. 1, No. 2, No. 32010 - Vol.52 No. 1-42009 - Vol.51 No. 1-2, No. 3-42008 - Vol.50 No. 1, No. 2, No. 3, No. 4, No. Priedas2007 No. 1, No. 2, No. 3, No. 42006 No. 1, No. 2, No. 3, No. 42005 No. 1, No. 2, No. 3, No. 42004 No. 1, No. 2, No. 3, No. 42003 No. 1, No. 2, No. 3, No. 42002 No. 1, No. 2, No. 3, No. 42001 No. 1, No. 2, No. 3, No. 4 |