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2020 | OriginalPaper | Chapter

Characterization of Geometrical Complexity of the Landscape Patches Using Fractional Dimension

Authors : Uttam Ghosh, Dilip Kumar Khan

Published in: Recent Trends in Wave Mechanics and Vibrations

Publisher: Springer Singapore

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Abstract

Fractal dimension which is developed using linear regression method (\(log(area)-log(perimeter)\)) gives the overall shape of the landscape patches relating to their internal structure while the individual patch provides the geometrical complexity that can be obtained using the modified definition of fractal dimension. Here we have considered north-western part of Orissa, India as the sampled landscape. The fractal dimension as obtained from linear regression method indicates wasteland and agriculture patches with low fractal value but the forest patches have high fractal dimension, i.e., forest patches are more fragmented compared to the other. The modified definition of fractal dimension gives high values of fractal dimension for all the landscape patches and consequently geometrical complexity is reflected.

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previous chapter Numerical Solution of Fuzzy Stochastic Volterra-Fredholm Integral Equation with Imprecisely Defined Parameters
next chapter Transverse Vibrations of an Axially Travelling String
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Metadata
Title
Characterization of Geometrical Complexity of the Landscape Patches Using Fractional Dimension
Authors
Uttam Ghosh
Dilip Kumar Khan
Copyright Year
2020
Publisher
Springer Singapore
Book
Recent Trends in Wave Mechanics and Vibrations

Print ISBN: 978-981-15-0286-6

Electronic ISBN: 978-981-15-0287-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-0287-3_10

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