Numerous 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.

中文翻译：

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土地系统多样性，尺度定律和多边形图分析

文献中已经提供了许多证据，表明教育多样性和生物多样性的模式非常相似。根据研究面积的增加，最确证的模式之一是生物多样性和土壤多样性之间的关系符合幂律。几位作者分析了分形和生物多样性分析中分形和多重分形特征的存在。类似地，还发现可以从土壤和植被图的多边形中提取有价值的信息，这也具有令人惊讶的相似性。这些方法涉及有关自然资源空间分布的信息。但是，此类研究忽略了其他更人为但有趣的地图及其比较。土地系统地图及其地理参考数据库属于后一类，其中包括大多数土壤形成因素。本文分析了地理参考的土地系统数据库和地图，并将其结果与先前的物种多样性和生物多样性研究中获得的结果进行了比较，主要是多边形的空间格局。结果表明，所分析的土地系统图单元遵循以前在生态学和生物多样性研究中发现的相同模式；也就是说，关于富裕-地区关系的幂定律。多边形的数量会出现相同的图案。一些地理学家声称，有一条“法律”规定，在地理空间中跨越几个数量级的小物体/物体比大物体/物体要多得多，因此这种规律性符合缩放定律，独立于所涉及的资源。不管是否分析了自然资源或人工制图，所获得的结果都证实了这一推测。本文是对土地利用图的首次测试；在这方面还需要其他工作。