Naslov
Fractal dimension of coastline of the Croatian island Cres

Autori
Paar, Vladimir ; Cvitan, Mario ; Ocelić, Nenad ; Jakopović, Miroslav

Izvornik
Acta geographica Croatica (1330-0466) 32 (1997); 21-34

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
island Cres; box-counting method; fractal dimension; power law for coastline; overall fractal dimension; partial fractal dimension; coastline length

Sažetak
Coastline of the island cres was digitalized into bitmap of 1696x5052 pixels. Bitmap was analysed computationally using our refined box-counting method. It was shown thatthe log-log diagram separates into two parts: non-selfsimilar and selfsimilar, divided by a critical value of the mesh size. It eas found that the power law is extremely well satisfied in the selfsimilar section of the log-log diagram, reflecting a high degree of statistical fractality of the coastline, almost without detectable fluctuations. Therefrom the overall fractal dimension of the coastline of Cres was determined as 1.118. It was shown that the coastline of Cres exhibits a high degree of stable statistical selfsimilarity. A possible origin of this pattern was suggested along the lines of a recent model of water erosion as a fractal growth process simulated on a lattice which was used to model the stationary state of the river pattern such as a power-law size distribution of the drainage basin area and for the Horton law. In light of our results for the overall fractal dimension we discuss the problem of dependence of the length of coastline on precision of measurement and present the corresponding asymptotic formula.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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