Abstract
Coastlines are irregular in nature having (random) fractal geometry and are formed by various natural activities. Fractal dimension is a measure of degree of geometric irregularity present in the coastline. A novel multicore parallel processing algorithm is presented to calculate the fractal dimension of coastline of Australia. The reliability of the coastline length of Australia is addressed by recovering the power law from our computational results. For simulations, the algorithm is implemented on a parallel computer for multi-core processing using the QGIS software, R-programming language and Python codes.
Highlights
Coastlines are irregular in nature having fractal geometry and are formed by various natural activities
Fractal dimension which itself is a class of different dimensions which are all equal for exactly self-similar fractals like the Koch curve
We discuss the reliability of the coastline length of Australia, which is in use at present, by recovering the inverse power law in computing the fractal dimension using the data from simulations
Summary
Coastlines are irregular in nature having (random) fractal geometry and are formed by various natural activities. We calculate the fractal dimension of coastline of Australia using the box-counting method. We discuss the reliability of the coastline length of Australia, which is in use at present, by recovering the inverse power law in computing the fractal dimension using the data from simulations.
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