Towards Parameter Identification of a Behavioral Model from a Virtual Reality Experiment

Nathalie Verdière, Oscar Navarro, Aude Naud, Alexandre Berred and Damienne Provitolo
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Nathalie Verdière: Laboratoire de Mathématiques Appliquées, FR-CNRS-3335, 25, Rue Philippe Lebon, 76063 Le Havre, France
Oscar Navarro: Laboratoire de Psychologie des Pays de la Loire—UPRES EA 4638, University of Nantes, 44312 Nantes, France
Aude Naud: Laboratoire de Psychologie des Pays de la Loire—UPRES EA 4638, University of Nantes, 44312 Nantes, France
Alexandre Berred: Laboratoire de Mathématiques Appliquées, FR-CNRS-3335, 25, Rue Philippe Lebon, 76063 Le Havre, France
Damienne Provitolo: Campus Azur 250, Université Côte d’Azur, CNRS, Observatoire de la Côte d’Azur, IRD, Géoazur, Rue Albert Einstein, CEDEX, 06905 Sophia Antipolis, France

Mathematics, 2021, vol. 9, issue 24, 1-25

Abstract: In this paper, we investigate the calibration of a mathematical model describing different behaviors occurring during a natural, a societal, or a technological catastrophe. This model was developed in collaboration with geographers and psychologists. To collect information on the level of stress, psychologists of the LPPL laboratory of Nantes (France) led virtual reality experiments. These experiments consisted in immersing individuals in a situation of catastrophe and measuring their electrocardiogram. From the physical and biological data collected, we present the methodology to calibrate the behavioral model. First, a theoretical analysis is carried out to determine (i) if the parameters can be uniquely estimated, (ii) the minimal number of discrete measurements required for the estimation. Then, from these analyses, an estimation procedure is performed to calibrate the mathematical model or at least to have an order magnitude of the model parameters. Through this work, we will show from simulations that the proposed system makes it possible to apprehend non observable human processes.

Keywords: parameter estimation; virtual reality; identifiability; behavioral model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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