Randzones

Randzones are spatial partitions generated by randomized subdivision processes to create a set of zones for analysis. The term combines "random" and "zones" and denotes partitions created without reference to existing administrative or natural boundaries. Randzones are used to study how zoning choices affect statistical results in geographic information systems, ecological research, and urban planning.

Construction methods include random recursive partitioning, where space is recursively split along random orientations; random Voronoi tessellations formed from randomly placed seed points; and stochastic boundary perturbation of existing zones. Randzones can be designed to cover a study area completely and to vary in size, shape, and contiguity depending on the method and parameters.

Applications include evaluating sensitivity of models to zoning schemes, performing cross-validation in spatial prediction, simulating zoning scenarios for planning, and benchmarking segmentation algorithms. They are often used in Monte Carlo experiments to quantify variability due to zoning.

Advantages include reducing bias introduced by conventional fixed zones and providing a neutral baseline for comparison. Limitations include interpretability challenges, dependence on random seed, potential creation of highly fragmented or irregular zones, and computational overhead.

See also: Voronoi diagram, spatial partitioning, grid cells, spatial statistics.