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Detecting alluvial fans using quantitative roughness characterization and fuzzy logic analysis Andrea Taramelli [email_address] Third International Workshop on "Geographical Analysis,Urban Modeling, Spatial Statistics" GEOG-AN-MOD 08 The 2008 International Conference on Computational Science and its Applications (ICCSA 2008) June 30th to July 3rd, 2008 Laura Melelli Lamont-Doherty Earth Observatory – Columbia University, New York, USA ICRAM -  Marine Sciences Research Institute , Rome Uniersità degli Studi di Perugia – Earth Science Department
Outline of Presentation ,[object Object],[object Object],[object Object],[object Object]
The Study area 1 st  case Perugia Gubbio basin Valle Umbra basin
Beijing The Study area 2 nd  case The Alashan area
Fundamental question of spatial information in geomorphology: how we can defined alluvial fan with indistinct geographically location? ,[object Object],[object Object],Bottom Alluvial part Upper Alluvial part
Does geometric - morphometric analysis directly map alluvial fans?  ,[object Object],[object Object],The similarity relation model: uses surface derivatives, such as roughness, slope and curvature, as input to a multivariate fuzzy classification which yields the membership values
Methodology ,[object Object],[object Object],[object Object]
Surface height variation: Finding   Roughness Through Radar Backscatter ,[object Object],[object Object],Relation between normalized radar cross section σº derived from SAR data and protrusion coefficient PC obtained from the POLDER-1 bi-directional reflectance distribution function Both σº and PC relate to surface roughness  (Laurent et al., JGR, 2005; Pringent et al., JGR, 2005): z º  = a * exp(PC/b),
[object Object],[object Object],Foligno Valle Umbra The Valle Umbra C-band backscatter power from the February 2000 SRTM mission. Purple -> blue is low; orange -> gray is high.
We processed and analyzed this data, producing roughness maps for the two main basins at full-resolution (90 m) and on a 0.25 degree grid, for comparison with the existing maps of the location of alluvial fans  ,[object Object],[object Object],Foligno
Geometric parameters delineation using SRTM dem ,[object Object],[object Object],[object Object],[object Object]
Landform Delineation Algorithm:    Populating the Similarity Model P i  is Maximum likelihood probability of attribution to the class. n Number of measurement variables. Ci Covariance matrix of the class considered. Mi Mean vector of the class considered. X Pixel vector. Pr i  Prior probability of the class considered defined from the frequency histograms of the training sets. Fr is the pixel count of the class under examination. Frt Is the sum of counts of all the classes.
[object Object],[object Object],[object Object],[object Object],Cluster results for the eight classes in the Gubbio and Valle Umbra intermontane basin
Cluster results 2.5 D and 2D for the Gubbio intermontane basin - an initial negative value of curvature (-6°) represents the upper fan-head trenching because of the linear channel erosion typical of the alluvial fans in our study area due to the recent regional tectonic uplift and the consequent readjustment of the drainage network; - a second positive value of curvature (8°) corresponds to upper and medium parts of the fan where the gravel deposits are present and show a convex longitudinal profile. - a last value (-0.5°) represents the area of the lower fan where lime and clay deposits lay adjacent to flat alluvial sediments.
Radar  Backscatter  (Feb. 2000) The retrieved roughness thresholds range from – 5  in the sandy deserts (Taklimakan, Badain Jaran, and Tengger Deserts) to up to 2 in the Gobi desert.
SRTM Analysis: Landform Delineation Algorithm The Alashan area
Conclusions  ,[object Object],[object Object],[object Object]

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Taramelli Melelli

  • 1. Detecting alluvial fans using quantitative roughness characterization and fuzzy logic analysis Andrea Taramelli [email_address] Third International Workshop on "Geographical Analysis,Urban Modeling, Spatial Statistics" GEOG-AN-MOD 08 The 2008 International Conference on Computational Science and its Applications (ICCSA 2008) June 30th to July 3rd, 2008 Laura Melelli Lamont-Doherty Earth Observatory – Columbia University, New York, USA ICRAM - Marine Sciences Research Institute , Rome Uniersità degli Studi di Perugia – Earth Science Department
  • 2.
  • 3. The Study area 1 st case Perugia Gubbio basin Valle Umbra basin
  • 4. Beijing The Study area 2 nd case The Alashan area
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12. Landform Delineation Algorithm: Populating the Similarity Model P i is Maximum likelihood probability of attribution to the class. n Number of measurement variables. Ci Covariance matrix of the class considered. Mi Mean vector of the class considered. X Pixel vector. Pr i Prior probability of the class considered defined from the frequency histograms of the training sets. Fr is the pixel count of the class under examination. Frt Is the sum of counts of all the classes.
  • 13.
  • 14. Cluster results 2.5 D and 2D for the Gubbio intermontane basin - an initial negative value of curvature (-6°) represents the upper fan-head trenching because of the linear channel erosion typical of the alluvial fans in our study area due to the recent regional tectonic uplift and the consequent readjustment of the drainage network; - a second positive value of curvature (8°) corresponds to upper and medium parts of the fan where the gravel deposits are present and show a convex longitudinal profile. - a last value (-0.5°) represents the area of the lower fan where lime and clay deposits lay adjacent to flat alluvial sediments.
  • 15. Radar Backscatter (Feb. 2000) The retrieved roughness thresholds range from – 5 in the sandy deserts (Taklimakan, Badain Jaran, and Tengger Deserts) to up to 2 in the Gobi desert.
  • 16. SRTM Analysis: Landform Delineation Algorithm The Alashan area
  • 17.