Creating jigsaw puzzles in ArcMap

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The concept of cluster inclusionzones for fixed area sample plots

The so called jigsaw puzzle view (Roesch et al. 1993[1]) is a decomopsition of the total domain of interest in non-overlapping inclusion zones for exclusive clusters of trees. In the infinit population approach sample elements are dimensionless points drawn from an infinit sample frame. Observations are derived as generalization over a number of nearest neighbours (trees) to a certain sample point. In fixed area sampling neighbours are considered up to a fixed distance (the radius of a circular sample plot). This "inclusion distance" can be assigned to every tree in the domain of interest, as a sample point falling in that distance would lead to a selection of the respective tree. This single tree inclusion zones are overlapping (as in most cases more than only one tree is selected by a sample point) whereas the resulting pattern is a decomposition of the total area in non-overlapping polygons, that would lead to a selection of a particular cluster of trees. This article describes briefly, how jigsaw puzzles can be created from a map with tree locations in ArcGIS.

Workflow of creating jigsaw puzzles

  • Basis for this decomposition is a map with tree locations (x and y coordinates) that might be generated or the result of a full assessment of a forest stand as shapefile or layer.

Tree coordinates.png

  • All trees must be buffered with the radius of a cirlular sample plot (their inclusion zone). Therefor create a new empty shapefile for polygons (with ArcCatalog) and load it to ArcMap. Start editing the tree-shape and select the new shapefile as target for creating new features.

Create buffer.jpg


  • After buffering all points your output looks like this:

Buffers.png

Construction.png sorry: 

This section is still under construction! This article was last modified on 01/22/2009. If you have comments please use the Discussion page or contribute to the article!


References

  1. Roesch, F.A.; Green, E.J.; Scott, C.T. 1993. An Alternative View of Forest Sampling. Survey Methodology 19 (2), 199-204.
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