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Functional Heterogeneity of F<strong>or</strong>est Landscapes: How Bark Beetles Perceive and Respond to Their Environment<br />

Studies of epidemiology begin with a consideration of issues associated with landscape structure. The term landscape<br />

structure refers to the spatial relationships between distinctive ecosystems (ecotopes, see Coulson et al. 1993), i.e., the<br />

distribution of"energy, materials, and species in relation to the sizes, shapes, numbers, kinds, and configurations of components<br />

(Turner 1989). Characteristics of landscape structure (p<strong>or</strong>osity of the f<strong>or</strong>est matrix, boundary configurations, patch size<br />

and shape, etc.) influence epidemiology of bark beetles. Structural characteristics of landscapes are often summarized and<br />

represented as heterogeneity. Although defined in several ways, the term heterogeneity is generally taken to mean composition<br />

of'parts of"different kinds. In considering the interaction of D. frontalis with the f<strong>or</strong>est landscape it is necessary to<br />

distinguish between measured and functional heterogeneity. Measured heterogeneity deals with physical features <strong>or</strong> components<br />

of a landscape. Functional heterogeneity deals with how an <strong>or</strong>ganism perceives and responds to its environment<br />

(Kolasa and Rollo 1991). There is obviously a direct link between patches, boundaries, and heterogeneity as boundaries<br />

define patches, and patchiness is what produces heterogeneity (Wiens 1992, Hansen and di Castri 1992).<br />

Tied to concepts associated with landscape heterogeneity is the subject of habitat structure. In general, habitat<br />

structure refers to the physical arrangement of objects in space (Bell et al. 1991). In studies of epidemiology, an essential<br />

task is to define the distribution, abundance, and location of habitat units. In effect, habitat structure is an element of measured<br />

heterogeneity, i.e., habitat can be viewed as a mappable element of a landscape mosaic. Southwood (1977) suggested<br />

that habitat serves as the template f<strong>or</strong> ecological strategies.<br />

Examination of how bark beetles perceive and respond to their environment at the landscape scale, i.e., evaluating<br />

functional heterogeneity, was difficult bef<strong>or</strong>e the availability of (i) GIS technologies, (it) spatially referenced databases, and<br />

(iii) spatial statistics. Also, until the text by F<strong>or</strong>man and Godron (1986), there was no standardized nomenclature f<strong>or</strong> describing<br />

landscapes from an ecological perspective (McIntosh 1991). With these problems partially solved, it is now possible to<br />

consider the substantial knowledge base on natural hist<strong>or</strong>y of bark beetles (and other <strong>or</strong>ganisms) in the context of the f<strong>or</strong>est<br />

landscapes where they occur (Dunning et al. 1992).<br />

In reference to D. frontalis, we have indicated that a great deal is known about host selection relative to the initiation<br />

and subsequent growth of infestations. In the case of initiation of infestations, lightning-struck hosts play a prominent role.<br />

F<strong>or</strong> infestation growth, variables associated with f<strong>or</strong>est stand hazard become significant. With knowledge of how these<br />

variables are spatially and temp<strong>or</strong>ally distributed, we can consider scenarios, based on the natural hist<strong>or</strong>y of the insect, that<br />

explain causes f<strong>or</strong> changes in the distribution and abundance of D. frontalis at the landscape scale.<br />

Ways and Means of Measuring Functional Heterogeneity<br />

Ways and means f<strong>or</strong> measuring landscape heterogeneity have been reviewed by Kolasa and Pickett (I991), Turner<br />

(1987, 1989), S. Turner et al. (1991), and M. Turner et al. (1991). Although there are several methodologies available, no<br />

single index is suitable f<strong>or</strong> characterization of functional heterogeneity f<strong>or</strong> a given <strong>or</strong>ganism. Each <strong>or</strong>ganism perceives and<br />

responds to its environment in unique ways. The elements of landscape structure that are imp<strong>or</strong>tant in defining herbiv<strong>or</strong>y by<br />

bark beetles, f<strong>or</strong> example, may be substantially different from those needed to characterize the process f<strong>or</strong> deer populations.<br />

Figure 2 illustrates the relation of functional and measured heterogeneity. In Figure 2 functional heterogeneity is represented<br />

as a gradient ranging from homogeneity on one end to heterogeneity on the other. Interpretation of the significance of index<br />

values in the mid-range of the gradient is difficult. We emphasize, also, that intermediate heterogeneity conditions are most<br />

difficult to interpret from the behavi<strong>or</strong>al perspective of the <strong>or</strong>ganism, i.e., it is difficult to predict how an <strong>or</strong>ganism will react<br />

to conditions of intermediate heterogeneity. F<strong>or</strong> <strong>this</strong> reason measurement of functional heterogeneity f<strong>or</strong> a specific <strong>or</strong>ganism<br />

will likely require use of several indices, each of which is sensitive to different aspects of landscape structure, e.g., connectivity,<br />

p<strong>or</strong>osity, fragmentation, boundary configuration, etc. To address <strong>this</strong> issue, we developed (<strong>or</strong> adapted) three different<br />

procedures to characterize functional heterogeneity of f<strong>or</strong>est landscapes relative to herbiv<strong>or</strong>y by D. frontalis. These indices<br />

are described briefly below.<br />

Indices of Heterogeneity<br />

Our initial goal in defining functional heterogeneity f<strong>or</strong> D. frontalis was to combine knowledge of natural hist<strong>or</strong>y of<br />

the insect with inf<strong>or</strong>mation on landscape structure. We developed (<strong>or</strong> modified) three indices to characterize functional<br />

heterogeneity. All use a weighted pattern-recognition computational approach, and each is sensitive to a different aspect of<br />

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