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. 2019 Feb 12;9:1821. doi: 10.1038/s41598-018-38416-3

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© The Author(s) 2019

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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The response of distribution along covariates. The left column shows the relative chance of probability of Fucus presence compared to 0.5 probability (an equal chance of occurring or not occurring). The middle column shows the change in Fucus growth (experiment) or biomass (survey) given it is present relative to the average growth rate in experimental data or the average biomass in survey data. The third column shows the relative change in probability of occurrence of Idotea (compared to 0.5 probability). The surface plots (first three rows) show the posterior median for the three models considered (the experimental data model, the distribution data model and the model combining the experimental and distribution data). The last row shows the posterior median and 95% credible interval along depth (Fucus model) and Fucus biomass (Idotea model).