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dc.contributor.authorUkalska, Joanna
dc.contributor.authorJastrzębowski, Szymon
dc.date.accessioned2019-05-20T12:06:20Z
dc.date.available2019-05-20T12:06:20Z
dc.date.issued2019-03-15
dc.identifier.citationUkalska, Joanna & Jastrzębowski, Szymon. (2019). Sigmoid growth curves, a new approach to study the dynamics of the epicotyl emergence of oak. Folia Forestalia Polonica, Series A – Forestry, 2019, Vol. 61 (1), 30–41. 10.2478/ffp-2019-0003.en
dc.identifier.otherDOI 10.2478/ffp-2019-0003
dc.identifier.urihttps://depot.ceon.pl/handle/123456789/16928
dc.description.abstractThree of the most frequently used sigmoidal growth curves from the Richards family are the logistic model, Gompertz model and Richards model. They are used in the analysis of organismal growth over time in many disciplines/studies and were proposed in many parameterisations. Choosing the right parameterisation is not easy. The correct parameterisation of the model should take into account such parameters that are useful to describe the analysed growth phenomenon and are biologically relevant without additional calculations. In addition, each parameter of the model only affects one shape characteristic of each growth curve, which makes it possible to determine standard errors and confidence intervals using statistical software. Growth curves in germination dynamics studies should provide information on topics such as the length of the lag in onset of germination, the maximum germination rate and, when it occurs, the time at which 50% of seeds will germinate and the final germination proportion. In this article, we present three parameterisations of the logistic, Gompertz and Richards models and indicate two parameterisations for each model, corresponding to the abovementioned issues. Our proposition is parameterisation by taking into account the maximum absolute growth rate. Parameterisations indicated as useful for germination dynamics are characterised by the fact that each parameter has the same meaning in every model, so its estimates can be compared directly amongst the models. We also discussed the goodness-of-fit measures for nonlinear models and in particular measures of nonlinear behaviour of a model’s individual parameters as well as overall measures of nonlinearity. All described models were used to study the dynamics of the epicotyl emergence of pedunculate oak. After checking the close-to-linear behaviour of the studied model parameters and by taking into account the criteria of model selection (AICc of each growth curve and the residual variance [RV]), the best model describing the dynamics of epicotyl appearance of pedunculate oak was the Richards curve.en
dc.language.isoen
dc.publisherThe Committee on Forestry Sciences and Wood Technology of the Polish Academy of Sciences and the Forest Research Institute in Sekocin Staryen
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.subjectcumulative germinationen
dc.subjectGompertz modelen
dc.subjectgrowth curvesen
dc.subjectlogistic modelen
dc.subjectnonlinear regressionen
dc.subjectpedunculate oaken
dc.subjectRichards modelen
dc.titleSigmoid growth curves, a new approach to study the dynamics of the epicotyl emergence of oaken
dc.typearticleen
dc.contributor.organizationWarsaw University of Life Sciences – SGGW, Faculty of Applied Informatics and Mathematics, Department of Econometrics and Statistics, Biometry Divisionen
dc.contributor.organizationForest Research Institute, Department of Silviculture and Genetics of Forest Trees, Sękocin Staryen


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