Abstract
Measuring habitat connectivity in complex landscapes is a major focus of landscape ecology and conservation research. Most studies use a binary landscape or patch mosaic model for describing spatial heterogeneity and understanding pattern-process relationships. While the value of landscape gradient approaches proposed by McGarigal and Cushman are recognized, applications of these newly proposed three dimensional surface metrics remain under-used. We created a gradient map of habitat quality from several GIS layers and applied three dimensional surface metrics to measure connectivity between 67 locations in Indiana, USA surveyed for one group of ecosystem service providers, flower longicorn beetles (Cerambycidae: Lepturinae). The three dimensional surface metrics applied to the landscape gradient model showed great potential to explain the differences of lepturine assemblages among the 2,211 studied landscapes (between site pairs). Surface kurtosis and its interaction with geographic distance were among the most important metrics. This approach provided unique information about the landscape through four configuration metrics. There were some uniform trends of the responses of many species to some of surface metrics, however some species responded differently to other metrics. We suggest that three dimensional surface metrics applied to a habitat surface map created with insight into species requirements is a valuable approach to understanding the spatial dynamics of species, guilds, and ecosystem services.



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Acknowledgments
We thank Dr. Kevin McGarigal and Dr. Samuel Cushman for their feedback on the metrics used, Anders Kühle for the great technical support with the SPIP™ program, and Jeremy VanDerWal for help in implementing the SDMtools package in R. Three very helpful reviews helped us improve the analysis and the text. Insu Koh performed the random walk analysis to determine landscape shape. Kapil Raje, John Shukle and Tommy Mager helped with field collections. This research was supported by a governmental general mission scholarship administrated by the Egyptian Cultural and Education Bureau, Washington, DC, and by the Department of Entomology at Purdue University.
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Abdel Moniem, H.E.M., Holland, J.D. Habitat connectivity for pollinator beetles using surface metrics. Landscape Ecol 28, 1251–1267 (2013). https://doi.org/10.1007/s10980-013-9886-9
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DOI: https://doi.org/10.1007/s10980-013-9886-9