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. 2018 May 17;8:7800. doi: 10.1038/s41598-018-24429-5

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© The Author(s) 2018

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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Vegetation models. Above: Predictive model of forest distribution based on bilinear regression using terrain variables (elevation, slope, aspect and topographic position index) in Lages (A) and Campo Belo do Sul (B). Below: Actual forest extent in 1966 compared to a model based on aspect and topographic position index in Lages (C) and Campo Belo do Sul (D).