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. 2017 Aug 8;7:7557. doi: 10.1038/s41598-017-08109-4

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Modelled contour distance (±95% confidence intervals) measured using wheels representing scales 4–64 cm (wheel diameters, cm: 3.99; 7.97; 15.95; 31.89; 63.79), within each habitat. Significant differences between habitats revealed by linear mixed effects modelling and post hoc Tukey pair-wise comparisons are illustrated by the pairing of letters (P < 0.05). Grey bars across scales further illustrate similarities in structural complexity across scales of measurement in each habitat. Thin grey bars in Pocillopora and Degraded habitats denote similarities in contour distance over scales at either end of the bar (i.e. non-consecutive sales).