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Spatial mode estimation for functional random fields with application to bioturbation problem |
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| Authors: | Sophie Dabo-Niang Anne-Francoise Yao Laura Pischedda Philippe Cuny Franck Gilbert |
| Institution: | (1) Laboratory GREMARS-EQUIPPE, University Charles De Gaulle, Lille 3, Maison de la recherche, Domaine du pont de bois, BP 60149, 59653 Villeneuve d’ascq cedex, France;(2) Laboratoire LMGEM, University Aix-Marseille 2, Campus de Luminy, case 901, 13288 Marseille cedex 09, France;(3) Laboratoire ECOLAB (UMR 5245), CNRS, University Toulouse 3, INPT, 29 rue Jeanne Marvig, BP 24349, 31055 Toulouse, France;(4) EcoLab, CNRS, 31055 Toulouse, France |
| Abstract: | This work provides a useful tool to study the effects of bioturbation on the distribution of oxygen within sediments. We propose here heterogeneity measurements based on functional spatial mode. To obtain the mode, one usually needs to estimate the spatial probability density. The approach considered here consists in looking each observation as a curve that represents the history of the oxygen concentration at a fixed pixel. |
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