I want to research about the dynamics of small river basins (order IV - V) in the system Horton - Strahler from the hills, plateaus and mountains from Romania and I want to compare the results of morphometric models with fractal dimensions corresponding. I'm open to any advice, suggestion, proposal or collaboration.
We usually measure the fractal dimension of architecture (I have never measured a river system) using our own software we are developing, but we have used "Benoit", it is a commercial software but not particularly expensive. We have used it to measure architecture and coastlines and it seems quite accurate.
http://www.trusoft-international.com/benoit.html
If you have line drawings of the river network you could use it.
I saved the line images as bitmaps and then inverted them and then analysed them using the box-counting option. (other fractal analysis options are available). We have a paper coming up at the next ANZASCA conference which outlines the method for preparing drawings for fractal analysis (using the box-counting method) for maximum reliability of results. If you are interested I can upload it to research-gate once in has been published.
Hi, Ion. I was just wondering if you've tried the local connected fractal dimension in FracLac for this work?
See also the paper on Tree-ordering , which I have uploaded today. This is a good-oldy from 1975. A more recent reference is Uylings, H.B.M. and Van Pelt, J. (2002) Measures for quantifying dendritic arborizations. Network: Computation in Neural Systems. 13:397-414. This paper is also available via ResearchGate.
Hi Ion,
sorry for the late response. I think R does a fine job. Its just a little tricky. You need R 2.10.1 and the package fdim. It uses box counting and you can use the forecast package which includes the FARIMA model that produces the H parameter. I would suggest reading: Statistics for Long Memory Processes by Beran. I saw that you downloaded my paper and most of my work is based on Beran. He even has his own R package.
Thank you. Fractal Gography by Andre Dauphine it is very intersting and usefull for me!
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