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Vegetation Classification and Mapping Project Report - USGS

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<strong>USGS</strong>-NPS <strong>Vegetation</strong> <strong>Mapping</strong> Program<br />

Colonial National Historical Park<br />

Summary Statistics<br />

Summary tables of compositional statistics were calculated to evaluate the adequacy of groups<br />

recognized in cluster analysis <strong>and</strong> ultimately to assist in naming <strong>and</strong> describing the community<br />

types. Total mean cover <strong>and</strong> total frequency across all plots were determined for every taxon.<br />

To compute mean cover, cover class scores were converted to the midpoints of their respective<br />

percent ranges, the midpoints were averaged, <strong>and</strong> resulting values were back-transformed to<br />

cover class scores. For each taxon in each group under consideration, the following summary<br />

statistics were then calculated:<br />

• Frequency – the number of samples in a group in which a species occurs.<br />

• Mean Cover – back-transformed cover class value corresponding to mean percent cover<br />

calculated from midpoint values of cover class ranges. All samples assigned to a group were<br />

considered when calculating mean cover, not just those in which a taxon was present;<br />

absences were assigned a cover value of 0.<br />

• Relative Cover – the arithmetic difference between mean cover (for a given group of<br />

samples) <strong>and</strong> total mean cover (for the entire data set) (= Mean Cover – Total Mean Cover).<br />

Expressed by plus or minus symbols, this value provides a relative approximation of how<br />

much more, or less, abundant a particular species is in a community type compared to the<br />

overall data set.<br />

• Constancy – the proportion of samples in a group in which a species occurs, expressed as a<br />

percentage (= [Frequency / Number of samples in group]×100).<br />

• Fidelity – the degree to which a species is restricted to a group, expressed as proportion of<br />

total frequency that frequency in a given group constitutes (= [Frequency / Total Frequency]<br />

× 100). An accidental or nonnative species can have maximal (100) fidelity to a type if it<br />

occurs in only one sample in the entire data set. As a result, fidelity alone can perform<br />

poorly as a criterion for identifying characteristic species <strong>and</strong> distinguishing among types.<br />

• Diagnostic Value (DV) (= [Constancy × Fidelity] / 100). A synthetic value indicating<br />

species that are both frequent within <strong>and</strong> relatively restricted to a group of plots.<br />

• Diagnostic Value Adjusted by Cover, Scaled (Adj DV [scaled]) (= [Diagnostic Value ×<br />

Mean Cover] / 9). By dividing DV x Mean Cover by 9, the maximum possible cover value,<br />

this statistic synthesizes information about frequency, diagnostic value, <strong>and</strong> mean abundance.<br />

A species entirely restricted to a particular community type, occurring in every sample of that<br />

type, <strong>and</strong> attaining maximum mean cover will have a Scaled Adjusted DV of 100 for that<br />

type. Empirically, taxa most characteristic of a type will have a much lower Adjusted DV,<br />

although the exact range of values in any given type or data set may vary considerably.<br />

• Diagnostic Value Adjusted by Cover, Unscaled (Adj DV [unscaled]) (=Diagnostic Value X<br />

2 relative cover ). An alternative, unscaled synthetic measure of adjusted DV, using relative cover<br />

as the modifier of DV. Since cover classes form a logarithmic, rather than linear scale of<br />

values, Unscaled Adjusted DV is a statistically more legitimate means of incorporating<br />

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