Orange County NC Website
APPENDIX II <br />CALCULATING THE CONTEXTUAL <br />RATING FOR A TARGET TRACT BY <br />MEANS OF THREE BUFFER ZONES <br />AROUND THE TRACT <br />The procedure we suggest here is easy to calculate <br />in ArcInfo and produces an intuitively under- <br />standable rating for the context of a target tract of <br />forest. <br />THREE BUFFERS AROUND THE <br />TARGET TRACT <br />First, ArcInfo finds three buffer zones around a <br />target tract. These three buffers extend outward <br />0.5, 1, and 2 miles from the target tract. Within <br />each buffer, we consider all tracts of forest and <br />non - forest (non - forest is a tract with a Maturity <br />value of 0, as explained in Table 2). The IR for <br />each tract is computed, the resulting numbers are <br />summed, and the sum is divided by the total <br />acreage in the buffer. <br />The result is an average IR for each acre in <br />each buffer. Notice that the IR for each tract in a <br />buffer includes the acreage of the tract. When we <br />divide by the total acreage in the buffer, we end <br />up with an average IR for the buffer or an IR per <br />acre in the buffer. <br />To visualize what an average IR means, <br />consider an extreme case. If a buffer were <br />completely forested with undisturbed Hardwood <br />Forest, with no bodies of water or inventoried <br />natural areas, the average IR in the zone would <br />equal about 6 (3 for Hardwood Forest, times 2 <br />for no disturbance). <br />TWO COMPLICATIONS <br />There are two complications when ArcInfo calcu- <br />lates an average IR in this way. First, ArcInfo can <br />24 <br />quickly identify buffers around a target tract, but <br />it cannot quickly identify concentric doughnut - <br />shaped zones. A buffer with a narrower width is <br />thus completely included within a buffer with a <br />wider width. We actually want the information <br />for concentric doughnut - shaped zones, rather <br />than for buffers. This problem is easily solved. <br />The average IR of a doughnut - shaped zone is <br />quickly obtained by subtracting the values for a <br />narrower buffer from the values for a ' wider <br />buffer. For instance, the average IR for the zone <br />from 1.0 to 2.0 miles from a target tract equals <br />�y <br />(total IR for 2 -mile -wide buffer) - (total IR for I -mile -wide buffer) <br />(total area for 2- mile -wide buffer) - (total area for I -mile -wide buffer) <br />There is a second complication. ArcInfo can <br />easily determine the set of all polygons that <br />overlap a buffer, but it cannot easily determine <br />the set that are entirely included within a buffer. <br />Consequently, in computing the average IR for <br />any buffer, we have included tracts that overlap <br />that buffer. The buffer "gets credit" for some <br />forest outside the buffer. Tracts of forest that <br />overlap two doughnut- shaped zones get <br />"counted" in the nearer zone. <br />This problem, in most cases, is not a large <br />one. In examing the maps of Contextual Ratings <br />for Orange County forests, we have not noticed <br />distortions in ratings as a result of this complica- <br />ton. From a biological point of view, this situa- <br />tion is not unreasonable. Once an animal finds a <br />patch of suitable habitat, it might easily move <br />throughout it. Although more complicated calcu- <br />lations could remove this problem, they do not <br />seem justified on the basis of our present knowl- <br />edge. <br />