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Thematic Accuracy Assessment Procedures. Version 2 - USGS

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the Literature Cited section). It is likely that travel costs per observation could be quite high for<br />

those observations in less accessible strata in very large parks. On the other hand, it would allow<br />

the less accessible areas to be represented in the accuracy assessment.<br />

2.3.4 Adjustments to Achieve Sample Data Homogeneity in Observations<br />

In a digital vegetation map, vegetation data will be classified into nonoverlapping polygons with<br />

discrete boundaries that imply a fixed line along which there will be a distinct change from one<br />

vegetation class to another. On the ground, these delineations often appear more as transitional<br />

zones (ecotones) between individual vegetation types of varying width. Some accuracy<br />

assessment sampling designs have avoided potential sites of ambiguous (transitional between<br />

types) vegetation, often by locating field observation sites away from map class boundaries with<br />

other map classes. However, the purpose of employing an ecological and mapping classification<br />

for an inventory implies a clear class membership for any site within the study area, and the<br />

purpose of a thematic accuracy assessment is to evaluate the “goodness of fit” between the<br />

discrete (classified) model and the more continuous real condition. Thus, the term “ecotone” has<br />

no real meaning in the context of discrete classes because nearly any site will have more affinity<br />

for one class than for others, depending on the classification rules. The possibility of transitional<br />

or otherwise atypical vegetation should not be a factor in selecting sites for thematic accuracy<br />

assessment.<br />

However, in order to define the sample data value of a site in order to determine the degree of<br />

match with the site’s corresponding reference data value, it is usually necessary to identify<br />

individual observation sites as unambiguously belonging to a single map class (i.e., they have a<br />

single possible sample data value). In order to do this efficiently the site must be located<br />

sufficiently far from (or, in a Geographic Information System context, buffered from) the map<br />

class boundary to eliminate the possibility that the observed area was of mixed sample data<br />

values due to (1) confusion as to whether the observation area is wholly contained within the<br />

map class, (2) positional error due to site location (GPS) error and (3) allowable positional error<br />

in the map data. To calculate the buffer distance that would be required to eliminate this<br />

uncertainty, the square root of the sum squares of these error sources can be calculated using the<br />

following equation.<br />

2 2<br />

Buffer Distance = R +F + M<br />

2<br />

In this equation, R is the radius distance of the observation area (from Table 3), F is the expected<br />

(e.g., 90 th percentile field positioning (GPS) error distance, and M is the expected maximum<br />

positional error distance in the map. The value for the term M may be generalized to 12 meters<br />

for all NPS Vegetation Inventory projects that meet National Map <strong>Accuracy</strong> Standard (NMAS)<br />

requirements for positional accuracy of 1:24,000 scale products.<br />

For example, if the observation area is a circular area the size of a 0.5 hectare minimum mapping<br />

unit (40 meters radius), the expected maximum field positioning error is 15 meters, and 12<br />

meters is the allowable positional error in the map data for 90% of all map positions, the sample<br />

site should be positioned at least the root sum square of these three quantities from the polygon<br />

boundary (in this case, approximately 44 meters). Site positioning can be accomplished in a<br />

sampling scheme that is generated in a Geographic Information System (GIS) by creating a<br />

buffer of 44 meters on the interior of all polygons within the inference area, for this scenario.<br />

21

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