Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences

Plants adapt to continual changes in environmental conditions throughout their life spans. High-throughput phenotyping methods have been developed to noninvasively monitor the physiological responses to abiotic/biotic stresses on a scale spanning a long time, covering most of the vegetative and repr...

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Main Authors: Ioannis Spyroglou, Jan Skalák, Veronika Balakhonova, Zuzana Benedikty, Alexandros G. Rigas, Jan Hejátko
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Plants
Subjects:
Online Access:https://www.mdpi.com/2223-7747/10/2/362
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author Ioannis Spyroglou
Jan Skalák
Veronika Balakhonova
Zuzana Benedikty
Alexandros G. Rigas
Jan Hejátko
author_facet Ioannis Spyroglou
Jan Skalák
Veronika Balakhonova
Zuzana Benedikty
Alexandros G. Rigas
Jan Hejátko
author_sort Ioannis Spyroglou
collection DOAJ
description Plants adapt to continual changes in environmental conditions throughout their life spans. High-throughput phenotyping methods have been developed to noninvasively monitor the physiological responses to abiotic/biotic stresses on a scale spanning a long time, covering most of the vegetative and reproductive stages. However, some of the physiological events comprise almost immediate and very fast responses towards the changing environment which might be overlooked in long-term observations. Additionally, there are certain technical difficulties and restrictions in analyzing phenotyping data, especially when dealing with repeated measurements. In this study, a method for comparing means at different time points using generalized linear mixed models combined with classical time series models is presented. As an example, we use multiple chlorophyll time series measurements from different genotypes. The use of additional time series models as random effects is essential as the residuals of the initial mixed model may contain autocorrelations that bias the result. The nature of mixed models offers a viable solution as these can incorporate time series models for residuals as random effects. The results from analyzing chlorophyll content time series show that the autocorrelation is successfully eliminated from the residuals and incorporated into the final model. This allows the use of statistical inference.
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spelling doaj.art-42ddd716f99b4fa19582ed41e46943822023-12-11T17:01:13ZengMDPI AGPlants2223-77472021-02-0110236210.3390/plants10020362Mixed Models as a Tool for Comparing Groups of Time Series in Plant SciencesIoannis Spyroglou0Jan Skalák1Veronika Balakhonova2Zuzana Benedikty3Alexandros G. Rigas4Jan Hejátko5Plant Sciences Core Facility, CEITEC—Central European Institute of Technology, Masaryk University, Kamenice 5, 62500 Brno, Czech RepublicFunctional Genomics & Proteomics of Plants, CEITEC—Central European Institute of Technology and National Centre for Biotechnology Research, Faculty of Science, Kamenice 5, 62500 Brno, Czech RepublicFunctional Genomics & Proteomics of Plants, CEITEC—Central European Institute of Technology and National Centre for Biotechnology Research, Faculty of Science, Kamenice 5, 62500 Brno, Czech RepublicPhoton Systems Instruments, (PSI, spol. sr.o.), 66424 Drásov, Czech RepublicDepartment of Electrical and Computer Engineering, Democritus University of Thrace, 67100 Xanthi, GreeceFunctional Genomics & Proteomics of Plants, CEITEC—Central European Institute of Technology and National Centre for Biotechnology Research, Faculty of Science, Kamenice 5, 62500 Brno, Czech RepublicPlants adapt to continual changes in environmental conditions throughout their life spans. High-throughput phenotyping methods have been developed to noninvasively monitor the physiological responses to abiotic/biotic stresses on a scale spanning a long time, covering most of the vegetative and reproductive stages. However, some of the physiological events comprise almost immediate and very fast responses towards the changing environment which might be overlooked in long-term observations. Additionally, there are certain technical difficulties and restrictions in analyzing phenotyping data, especially when dealing with repeated measurements. In this study, a method for comparing means at different time points using generalized linear mixed models combined with classical time series models is presented. As an example, we use multiple chlorophyll time series measurements from different genotypes. The use of additional time series models as random effects is essential as the residuals of the initial mixed model may contain autocorrelations that bias the result. The nature of mixed models offers a viable solution as these can incorporate time series models for residuals as random effects. The results from analyzing chlorophyll content time series show that the autocorrelation is successfully eliminated from the residuals and incorporated into the final model. This allows the use of statistical inference.https://www.mdpi.com/2223-7747/10/2/362<i>Arabidopsis</i>linear mixed modelstime series analysisARIMA
spellingShingle Ioannis Spyroglou
Jan Skalák
Veronika Balakhonova
Zuzana Benedikty
Alexandros G. Rigas
Jan Hejátko
Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences
Plants
<i>Arabidopsis</i>
linear mixed models
time series analysis
ARIMA
title Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences
title_full Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences
title_fullStr Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences
title_full_unstemmed Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences
title_short Mixed Models as a Tool for Comparing Groups of Time Series in Plant Sciences
title_sort mixed models as a tool for comparing groups of time series in plant sciences
topic <i>Arabidopsis</i>
linear mixed models
time series analysis
ARIMA
url https://www.mdpi.com/2223-7747/10/2/362
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AT zuzanabenedikty mixedmodelsasatoolforcomparinggroupsoftimeseriesinplantsciences
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