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Erosion Thresholds and Scaling Relationships
 

Runoff and erosion in semiarid woodlands is highly dependent on ground cover. We view these systems as a set of canopy and intercanopy patches, which differ in many properties, including runoff and erosion. At a finer spatial scale, within intercanopy patches we can differentiate between bare and vegetated patches.

We conducted field studies to test these hypotheses, in which runoff and erosion was measured for isolated and connected patches.

Our results document that most of the runoff is generated in intercanopy rather than canopy patches, and that within intercanopy patches most of the runoff is generated in bare patches and redistributed to canopy patches (Reid 1997; Reid et al. submitted). We are working on relating these measurements to other data we have collected at larger spatial scales (Wilcox 1994, Wilcox et al. 1996a, 1996b).

Viewing the system as a grid of these three patch types (canopy, intercanopy-bare, and intercanopy-vegetated), we developed a conceptual model based on percolation theory that explains how patch-scale runoff relates to larger spatial scales (Davenport et al. 1998). In our model, we assume that runoff is generated only on bare patches, runs off only directly downhill or to the side (but not uphill or diagonally), and is completely absorbed if in encounters a canopy or intercanopy-vegetated patch.

When the proportion of intercanopy-bare patches is small, most of the runoff is redeposited within hillslope, resulting in little hillslope runoff (low connectivity). However, at a threshold value the proportion of intercanopy-bare patches is sufficiently high that the hillslope becomes highly connected and a much greater proportion of runoff leaves the hillslope.

Consequently, at some critical value for % intercanopy-bare cover, an erosion threshold is crossed and the scaling relationship between small-scale and hillslope scale runoff change dramatically. This apparently happened as vegetation patterns shifted in response to a severe drought (Allen and Breshears 1998). These observations are consistent with a catastrophe model and predictions of the Universal Soil Loss Equation:

These results have implications from local to global scales. Locally, they are relevant to contaminant transport, landfill-cover integrity, and the protection of cultural resources (e.g., archeological sites). Globally, they illustrate the potential ecosystem consequences that could result from climate variability and particularly from climate change.

References

Allen, C. D., and D. D. Breshears. 1998. Drought-induced shift of a forest/woodland ecotone: rapid landscape response to climate variation. Proceedings of the National Academy of Science (USA) 95:14839-14842.

Davenport, D. W., D. D. Breshears, B. P. Wilcox, and C. D. Allen. 1998. Viewpoint: Sustainability of piņon-juniper woodlands: a unifying perspective of soil erosion thresholds. Journal of Range Management 51: 231-240.

Reid, K. D. 1997. Runoff and sediment yield in a semiarid piņon-juniper woodland, New Mexico. M.S. Thesis. Colorado State University, Fort Collins.

Wilcox, B. P., 1994. Runoff and erosion in intercanopy zones of piņon-juniper woodlands. Journal of Range Management 47:285-295.

Wilcox, B. P., C. D. Allen, B. D. Newman, K. D. Reid, D. Brandes, J. Pitlick, and D. W. Davenport. 1996a. Runoff and erosion on the Pajarito Plateau: observations from the field. Pages 433-439 in New Mexico Geological Society Guidebook, 47th Field Conference, Jemez Mountains Region, 1996. New Mexico Geological Society, Soccorro.

Wilcox, B. P., J. Pitlick, C. D. Allen, and D. W. Davenport. 1996b. Runoff and erosion from a rapidly eroding pinyon-juniper hillslope. In: Advances in Hillslope Processes, British Geomorphological Research Group, 20-22 Sept. 1996.

 

 

 

 

Terrestrial Ecology Lab

228 Biological Science Building East

University of Arizona, 1311 E 4th Street, Tucson, AZ 85721

Ph: 520-621-7259

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