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Fractal structures and fractal functions as disease indicators

November 1, 1995

Developmental instability is an early indicator of stress, and has been used to monitor the impacts of human disturbance on natural ecosystems. Here we investigate the use of different measures of developmental instability on two species, green peppers (Capsicum annuum), a plant, and Spanish ibex (Capra pyrenaica), an animal. For green peppers we compared the variance in allometric relationship between control plants, and a treatment group infected with the tomato spotted wilt virus. The results show that infected plants have a greater variance about the allometric regression line than the control plants. We also observed a reduction in complexity of branch structure in green pepper with a viral infection. Box-counting fractal dimension of branch architecture declined under stress infection. We also tested the reduction in complexity of behavioral patterns under stress situations in Spanish ibex (Capra pyrenaica). Fractal dimension of head-lift frequency distribution measures predator detection efficiency. This dimension decreased under stressful conditions, such as advanced pregnancy and parasitic infection. Feeding distribution activities reflect food searching efficiency. Power spectral analysis proves to be the most powerful tool for character- izing fractal behavior, revealing a reduction in complexity of time distribution activity under parasitic infection.

Citation Information

Publication Year 1995
Title Fractal structures and fractal functions as disease indicators
DOI 10.2307/3545661
Authors J.M Escos, C.L. Alados, J.M. Emlen
Publication Type Article
Publication Subtype Journal Article
Series Title Oikos
Series Number
Index ID 70182285
Record Source USGS Publications Warehouse
USGS Organization Western Fisheries Research Center