TY - JOUR
T1 - Discovery of fairy circles in Australia supports self-organization theory
AU - Getzin, Stephan
AU - Yizhaq, Hezi
AU - Bell, Bronwyn
AU - Erickson, Todd E.
AU - Postle, Anthony C.
AU - Katra, Itzhak
AU - Tzuk, Omer
AU - Zelnik, Yuval R.
AU - Wiegand, Kerstin
AU - Wiegand, Thorsten
AU - Meron, Ehud
AU - Hastings, Alan
N1 - Funding Information:
ACKNOWLEDGMENTS. We thank two anonymous reviewers for their helpful comments. We are grateful to the Environmental Management of Rio Tinto for their logistic support in the region and for providing Fig. 1A of the 100k series photography from Landgate/Government of Western Australia. S. White and J. Roberts of BHP Billiton Iron Ore provided the aerial image for spatial analysis and a digital elevation model. We thank B. Gratte for permission to undertake fieldwork at the Ethel Creek Pastoral Stations. K. Sanders provided the aerial image of Fig. 1B, and A. N. Anderson (Commonwealth Scientific and Industrial Research Organisation) helped with ant species identification. This work was supported by the Helmholtz Centre for Environmental Research - UFZ and European Research Council Advanced Grant 233066 (to T.W.) and Israel Science Foundation Grant 305/13 (to E.M.).
PY - 2016/3/29
Y1 - 2016/3/29
N2 - Vegetation gap patterns in arid grasslands, such as the "fairy circles" of Namibia, are one of nature's greatest mysteries and subject to a lively debate on their origin. They are characterized by small-scale hexagonal ordering of circular bare-soil gaps that persists uniformly in the landscape scale to form a homogeneous distribution. Pattern-formation theory predicts that such highly ordered gap patterns should be found also in other water-limited systems across the globe, even if the mechanisms of their formation are different. Here we report that so far unknown fairy circles with the same spatial structure exist 10,000 km away from Namibia in the remote outback of Australia. Combining fieldwork, remote sensing, spatial pattern analysis, and process-based mathematical modeling, we demonstrate that these patterns emerge by self-organization, with no correlation with termite activity; the driving mechanism is a positive biomass-water feedback associated with water runoff and biomass-dependent infiltration rates. The remarkable match between the patterns of Australian and Namibian fairy circles and model results indicate that both patterns emerge from a nonuniform stationary instability, supporting a central universality principle of pattern-formation theory. Applied to the context of dryland vegetation, this principle predicts that different systems that go through the same instability type will show similar vegetation patterns even if the feedback mechanisms and resulting soil-water distributions are different, as we indeed found by comparing the Australian and the Namibian fairy-circle ecosystems. These results suggest that biomass-water feedbacks and resultant vegetation gap patterns are likely more common in remote drylands than is currently known.
AB - Vegetation gap patterns in arid grasslands, such as the "fairy circles" of Namibia, are one of nature's greatest mysteries and subject to a lively debate on their origin. They are characterized by small-scale hexagonal ordering of circular bare-soil gaps that persists uniformly in the landscape scale to form a homogeneous distribution. Pattern-formation theory predicts that such highly ordered gap patterns should be found also in other water-limited systems across the globe, even if the mechanisms of their formation are different. Here we report that so far unknown fairy circles with the same spatial structure exist 10,000 km away from Namibia in the remote outback of Australia. Combining fieldwork, remote sensing, spatial pattern analysis, and process-based mathematical modeling, we demonstrate that these patterns emerge by self-organization, with no correlation with termite activity; the driving mechanism is a positive biomass-water feedback associated with water runoff and biomass-dependent infiltration rates. The remarkable match between the patterns of Australian and Namibian fairy circles and model results indicate that both patterns emerge from a nonuniform stationary instability, supporting a central universality principle of pattern-formation theory. Applied to the context of dryland vegetation, this principle predicts that different systems that go through the same instability type will show similar vegetation patterns even if the feedback mechanisms and resulting soil-water distributions are different, as we indeed found by comparing the Australian and the Namibian fairy-circle ecosystems. These results suggest that biomass-water feedbacks and resultant vegetation gap patterns are likely more common in remote drylands than is currently known.
KW - Drylands
KW - Spatial pattern
KW - Triodia grass
KW - Turing instability vegetation gap
UR - http://www.scopus.com/inward/record.url?scp=84962106546&partnerID=8YFLogxK
U2 - 10.1073/pnas.1522130113
DO - 10.1073/pnas.1522130113
M3 - Article
C2 - 26976567
AN - SCOPUS:84962106546
SN - 0027-8424
VL - 113
SP - 3551
EP - 3556
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 13
ER -