Land system diversity, scaling laws and polygons map analysis

Abstract

AbstractNumerous lines of evidence have been presented in the literature that show the patterns of pedodiversity and biodiversity are very similar. One of the most corroborated patterns lies in the fits of the relationships between biodiversity and soil diversity to power laws according to the increase in study area. Several authors have analysed the presence of fractal and multifractal features in pedodiversity and biodiversity analyses. Similarly, it has also been found that valuable information can be extracted from the polygons of soil and vegetation maps, which also have surprising similarities. These approaches concern information on the spatial distribution of natural resources. However, other more artificial but interesting maps and their comparison have been neglected by such studies. Land systems maps and their georeferenced databases fall into this latter category, and they include most of the soil‐forming factors. In this paper a georeferenced land system database and map were analysed and the results compared with those obtained in previous pedodiversity and biodiversity studies, primarily the spatial patterns of the polygons. The results showed that the analysed land system map units followed the same patterns that were previously found in pedodiversity and biodiversity studies; that is, the power law concerning richness–area relationships. The same patterns occur with the number of polygons. Some geographers claim there is a “law” that states that there are far more small things/objects than larger ones across several orders of magnitude in geographic space and thus this regularity conforms to scaling laws, independent of the resource involved. The results obtained corroborate this conjecture irrespective of whether natural resources or artificial cartographies were analysed. This paper represents a first test of land use maps; additional work in this area is needed.Highlights Spatial patterns detected in natural and land system maps seem to be similar Composite GIS maps have the same spatial patterns as their base maps. Soil and land system units conform to long‐tail or heavy tail distributions. Soil maps and land system maps conform to power laws, fingerprints of fractal structures There are more small polygons than large ones across several magnitude orders on choropleth maps.