Landscape ecology starts from the assumption that diversity and spatial arrangement of ecosystem mosaics have ecological implications and tries to understand the interactions between diversity and structure of large spatially heterogeneous areas and their ecological functions. These assumptions imply effective use of earth observation techniques and geographic information systems, enabling a global view of the landscape mosaics. In this paper, a software, LaDy (Landscape Diversity Software), for computing Rényi's local landscape diversity profile on raster land cover maps is presented. LaDy is based on the use of Merchant's adaptive geographic window, which is designed to operate on a neighborhood of patches instead of a fixed rectangular neighborhood of pixels (the conventional approach in image analysis).
Bruen and Thas proved that the size of a large minimal blocking set is bounded by q Á ffiffi ffi q p þ 1. Hence, if q ¼ 8, then the maximal possible size is 23. Since 8 is not a square, it was conjectured that a minimal blocking 23-set does not exist in PGð2; 8Þ. We show that this is not the case, and construct such a set. We prove that this is combinatorially unique. We also complete the spectrum problem of minimal blocking sets for PGð2; 8Þ by showing a minimal blocking 22-set. #
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