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      Analyzing pathogen suppressiveness in bioassays with natural soils using integrative maximum likelihood methods in R

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          Abstract

          The potential of soils to naturally suppress inherent plant pathogens is an important ecosystem function. Usually, pathogen infection assays are used for estimating the suppressive potential of soils. In natural soils, however, co-occurring pathogens might simultaneously infect plants complicating the estimation of a focal pathogen’s infection rate (initial slope of the infection-curve) as a measure of soil suppressiveness. Here, we present a method in R correcting for these unwanted effects by developing a two pathogen mono-molecular infection model. We fit the two pathogen mono-molecular infection model to data by using an integrative approach combining a numerical simulation of the model with an iterative maximum likelihood fit. We show that in presence of co-occurring pathogens using uncorrected data leads to a critical under- or overestimation of soil suppressiveness measures. In contrast, our new approach enables to precisely estimate soil suppressiveness measures such as plant infection rate and plant resistance time. Our method allows a correction of measured infection parameters that is necessary in case different pathogens are present. Moreover, our model can be (1) adapted to use other models such as the logistic or the Gompertz model; and (2) it could be extended by a facilitation parameter if infections in plants increase the susceptibility to new infections. We propose our method to be particularly useful for exploring soil suppressiveness of natural soils from different sites (e.g., in biodiversity experiments).

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          Most cited references18

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          The rhizosphere: a playground and battlefield for soilborne pathogens and beneficial microorganisms

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            R: A language and enviornment for statistical computing

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              How to fit nonlinear plant growth models and calculate growth rates: an update for ecologists

                Author and article information

                Contributors
                Journal
                PeerJ
                PeerJ
                peerj
                peerj
                PeerJ
                PeerJ Inc. (San Francisco, USA )
                2167-8359
                3 November 2016
                2016
                : 4
                : e2615
                Affiliations
                [1 ]German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig , Leipzig, Germany
                [2 ]Institute of Ecology, Friedrich-Schiller University Jena , Jena, Germany
                [3 ]Department of Aquatic Ecology, Netherlands Institute of Ecology (NIOO-KNAW) , Wageningen, The Netherlands
                [4 ]Department of Terrestrial Ecology, Netherlands Institute of Ecology (NIOO-KNAW) , Wageningen, The Netherlands
                [5 ]Department of Animal Ecology, J.F. Blumenbach Institute of Zoology and Anthropology, Georg-August-University Göttingen , Göttingen, Germany
                Article
                2615
                10.7717/peerj.2615
                5101589
                27833800
                fc81daa8-f14e-49d7-a324-ebe3679278ce
                ©2016 Rall and Latz

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ) and either DOI or URL of the article must be cited.

                History
                : 23 June 2016
                : 25 September 2016
                Funding
                Funded by: German Research Foundation
                Award ID: FZT 118
                Award ID: JO 935/2-1
                This study was supported by the German Centre for integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig funded by the German Research Foundation (FZT 118). EL was funded by the German Research Foundation (JO 935/2-1). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Agricultural Science
                Biodiversity
                Microbiology
                Plant Science
                Statistics

                infected control treatments,maximum likelihood estimation,ordinary differential equation,mono-molecular infection model,biodiversity,soil resistance,r,bbmle,desolve,programming manual

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