Raster ordination

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I have 4 raster layers from one Landsat image. One is NDVI and others are layers which shows different soil units (Sabin's color composite). My NDVI shows different class of vegetation (grassland, shrub-lands, forest). I would like to do a kind of ordination to show each of these vegetation classes related to which soil unit. In ecology we usually do Principle Component Analysis (PCA) to show for example each group of samples gather around which arrow (showing an ecological character). But in remote sensing, PCA is an image enhancement method. So how I can do ordination?



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