On the characterization of flowering curves using Gaussian mixture models.
In this paper, we develop a statistical methodology applied to the characterization of flowering curves using Gaussian mixture models. Our study relies on a set of rosebushes flowering data, and Gaussian mixture models are mainly used to quantify the reblooming properties of each one. In this regard, we also suggest our own selection criterion to take into account the lack of symmetry of most of the flowering curves. Three classes are created on the basis of a principal component analysis conducted on a set of reblooming indicators, and a subclassification is made using a longitudinal k-means algorithm which also highlights the role played by the precocity of the flowering. In this way, we obtain an overview of the correlations between the features we decided to retain on each curve. In particular, results suggest the lack of correlation between reblooming and flowering precocity. The pertinent indicators obtained in this study will be a first step towards the comprehension of the environmental and genetic control of these biological processes.
Laboratoire Angevin de Recherche en Mathématiques - UMR 6093, Université d'Angers, Département de mathématiques, Faculté des Sciences, 2 Boulevard Lavoisier, 49045 Angers cedex, France. Electronic address: Frederic.Proia@univ-angers.fr.
Frédéric
F
Proïa
IRHS, Agrocampus-Ouest, INRA, Université d'Angers, SFR 4207 QuaSaV, 49071, Beaucouzé, France. Electronic address: Alix.Pernet@angers.inra.fr.
Alix
A
Pernet
IRHS, Agrocampus-Ouest, INRA, Université d'Angers, SFR 4207 QuaSaV, 49071, Beaucouzé, France. Electronic address: Tatiana.Thouroude@angers.inra.fr.
Tatiana
T
Thouroude
IRHS, Agrocampus-Ouest, INRA, Université d'Angers, SFR 4207 QuaSaV, 49071, Beaucouzé, France. Electronic address: Gilles.Michel@angers.inra.fr.
Gilles
G
Michel
IRHS, Agrocampus-Ouest, INRA, Université d'Angers, SFR 4207 QuaSaV, 49071, Beaucouzé, France. Electronic address: Jeremy.Clotault@univ-angers.fr.
Jérémy
J
Clotault
D000465:Algorithms; D003198:Computer Simulation; D035264:Flowers / Q000502:physiology*; D015233:Models, Statistical; D016011:Normal Distribution; D025341:Principal Component Analysis; D027826:Rosa / Q000502:physiology*
Characterization of curves; Classification of curves; Flowering curves; Gaussian mixture models; Longitudinal k-means algorithm; Principal component analysis; Reblooming behaviour; Recurrent flowering