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FUNCTIONAL HETEROGENEITYANALYSIS :<br />

A TECHNIQUE THAT USES BOTH PATTERNAND SCALE<br />

MEASURED LANDSCAFE FUNCTIONAL LANDSCAPES<br />

Moving-Window Application of<br />

the Weighted Connectivity Index<br />

1 2<br />

* grayshadesindicatemapped • sizeof movingwindowc<strong>or</strong>respondsto scaleof energy,<br />

landscapezones material,<strong>or</strong><strong>or</strong>ganismflows<br />

, grayshadesindicateindexvalues<br />

.... ;IFT]<br />

1, closelyresemblesmeasured :3 ° vaguelyresemblesmeasured<br />

landscape landscape<br />

°onlyboundariesare ° indexvaluesspatiallyvaried<br />

heterogeneous ° landscapeis functionally<br />

heterogeneous<br />

Figure 4.--Functional heterogeneity analysis using pattern recognition alg<strong>or</strong>ithms and moving-window calculations.<br />

Relating Functional Heterogeneity to Epidemiology of D. frontalis<br />

Although D. frontalis is among the most th<strong>or</strong>oughly studied pest species, there is no mechanistic explanation f<strong>or</strong> how<br />

the natural hist<strong>or</strong>y of the insect operates at the landscape scale to produce observed patterns of epidemiology (Dunning et al.<br />

1992). We suggest that bark beetle epidemiology in a pine f<strong>or</strong>est landscape involves a netw<strong>or</strong>k of [i] lightning-struck hosts<br />

(Lovelady 1994), which serve as sinks during dispersal (Pullian 1988, Pullian and Danielson 1991); [ii] previous existing<br />

infestations, which serve both as sources and sinks; and [iii] high hazard stands, which also serve as sinks and are needed f<strong>or</strong><br />

development of infestations. With only modest requirements f<strong>or</strong> dispersal distance (1 kin), the bark beetles can reduce high<br />

measured heterogeneity in pine f<strong>or</strong>est landscapes into high functional homogeneity, i.e., the insects can link dispersed food<br />

and habitat resources. Specific attributes of landscape structure will influence how <strong>this</strong> scenario is played out in different<br />

f<strong>or</strong>est environ ments.<br />

In the following example, we examine how D. frontalis interacts within a meso-scale (100 to 1,000,000 ha) f<strong>or</strong>est<br />

landscape. The GIS-based study (McFadden 1994) was conducted on the Sam Houston National F<strong>or</strong>est in southeast Texas.<br />

This landscape is vegetated primarily with loblolly, Pinus taeda L., and sh<strong>or</strong>tleaf, P echinata Mill, pines and mixed hardwood<br />

species. Populations of D. frontalis in the f<strong>or</strong>est have cycled from enzootic to epizootic levels f<strong>or</strong> m<strong>or</strong>e than two<br />

decades.<br />

279

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