Connection between the Burgers equation with an elastic forcing term and a stochastic process

We present a complete analytical resolution of the one dimensional Burgers equation with the elastic forcing term $-\kappa^{2} x+f(t)$, $\kappa\in\mathbb{R}$. Two methods existing for the case $\kappa=0$ are adapted and generalized using variable and function transformations, valid for all values of space an time. The emergence of a Fokker-Planck equation in the method allows to connect a fluid model, depicted by the Burgers equation, with an Ornstein-Uhlenbeck process

Is the Collective Model of Labor Supply Useful for Tax Policy Analysis? A Simulation Exercise

The literature on household behavior contains hardly any empirical research on the within-household distributional effect of tax-benefit policies. We simulate this effect in the framework of a collective model of labor supply when shifting from a joint to an individual taxation system in France. We show that the net-of-tax relative earning potential of the wife is a significant determinant of intrahousehold negotiation but with very low elasticity. Consequently, the labor supply responses to the reform are entirely driven by the traditional substitution and income effects as in a unitary model. For some households only, the reform alters the intrahousehold distribution in a way that tends to change normative conclusions. A sensitivity analysis shows that the collective model would be required if the tax reform was both radical and of extended scope.Collective Model, Intrahousehold Allocation, Household Labor Supply, Tax Reform

Is the Collective Model of Labor Supply Useful for Tax Policy Analysis? A Simulation Exercise

The literature on household behavior contains hardly any empirical research on the withinhousehold distributional effect of tax-benefit policies. We simulate this effect in the framework of a collective model of labor supply when shifting from a joint to an individual taxation system in France. We show that the net-of-tax relative earning potential of the wife is a significant determinant of intrahousehold negotiation but with very low elasticity. Consequently, the labor supply responses to the reform are entirely driven by the traditional substitution and income effects as in a unitary model. For some households only, the reform alters the intrahousehold distribution in a way that tends to change normative conclusions. A sensitivity analysis shows that the collective model would be required if the tax reform was both radical and of extended scope.collective model, intrahousehold allocation, household labor supply, tax reform

Collective Labor Supply: a Single-Equation Model and Some Evidence from French Data

In Chiappori's (1988) collective model of labor supply hours of work are supposed flexible. In many countries, however, male labor supply does not vary much. In that case, the husband's labor supply is no longer informative about the household decision process and individual preferences. To identify structural components of the model, additional information is needed. We thus consider an approach in which the wife's labor supply is expressed as a function of the household demand for one specific good. We demonstrate that the main properties of Chiappori's initial model are preserved and apply our results on French data.Collective models, Labor supply, Intra-household distribution, conditional demand

Effets d’une réforme fiscale sur l’offre de travail des ménages dans un cadre collectif simulé

La littérature contient très peu de recherches empiriques concernant les effets distributifs du système sociofiscal à l’intérieur du ménage. Nous simulons cet effet dans le cadre du modèle collectif d’offre de travail lorsque l’on passe d’une taxation jointe à une taxation individuelle en France. Nous montrons que la contribution relative de l’épouse aux revenus familiaux après impôts est un déterminant significatif de la négociation au sein du couple, avec une très faible élasticité cependant. En conséquence, les réactions d’offre de travail dues à la réforme sont essentiellement induites par les effets traditionnels (substitution et revenu), tout comme dans un modèle unitaire. Une analyse de sensibilité montre que l’effet distributif capturé par le cadre collectif est significatif seulement dans le cas de réformes fiscales de grande ampleur et peu réalistes. Ce résultat suggère cependant d’amplifier les recherches sur le lien entre fiscalité, transferts et décision intrafamiliale. En particulier, il convient d’ajouter plus de structure que n’en permet le modèle collectif afin de caractériser plus précisément la façon dont la fiscalité pourrait jouer sur la négociation au sein du ménage.The literature on household behavior contains hardly any empirical research on the within-household distributional effect of tax-benefit policies. We simulate this effect in the framework of a collective model of labor supply when shifting from a joint to an individual taxation system in France. We show that the net financial contribution of the wife is a significant determinant of intrahousehold negotiation but with very low elasticity. Consequently, the labor supply responses to the reform are entirely driven by the traditional substitution and income effects as in a unitary model. A sensitivity analysis shows that the distribution effect captured by the collective model is significant only when tax reforms are unrealistically radical and of extended scope. This result suggests to investigate further the intricate link between taxation, redistribution and intrahousehold decisions. In particular, more structure should be added than is contained in the collective setting in order to characterize more precisely the way taxation could influence the intrahousehold negociation

Geodetic tools for hydrogeological surveys: 3D-displacements above a fractured aquifer from GPS time series

International audienceDeep porous reservoirs are subject to charge and discharge of fluids (oil, gas or water), either naturally or induced by human exploitation. This leads to a variation in pressure inside the reservoir and consequently to a deformation of the overlying material. The knowledge of the ground surface displacements allows inferring the fluid migrations and the hydromechanical properties in the porous reservoir. Different kinds of geodetic tools are able to measure this ground deformation: GPS, radar interferometry InSAR, tiltmeters or leveling. Each of them has its own spatial and time characteristics and accuracies that conduct to different kind of applications. After a review of the geodetic studies applied to hydrogeological processes, we describe two examples of GPS time series measurements above the granitic fractured aquifer of Ploemeur, located in French Brittany. These time series records the 3D-displacements induced by the sum of different processes. In this site, the involved processes are mainly the ground deformation related to piezometric level variations in the aquifer that we are looking for and the ocean tide loading that can reach several centimeters in the study area. We present the protocol of the GPS data survey and the processing strategy applied to extract the effect of hydrogeological process with sufficient accuracy. Two different experiments were studied: the long term deformation corresponding to seasonal hydrological cycle and the short term deformation associated to a pumping test. For a same variation in piezometric levels, the vertical ground displacements show larger amplitude for long term signal than for short one, indicating a behavior depending on the duration of the hydrogeological load. This difference of reactivity in time can be related to the heterogeneity of the studied aquifer. Finally, this work shows that geodetic measurements provide important constraints for characterizing aquifer-system response

Artificial Tongue-Placed Tactile Biofeedback for perceptual supplementation: application to human disability and biomedical engineering

The present paper aims at introducing the innovative technologies, based on the concept of "sensory substitution" or "perceptual supplementation", we are developing in the fields of human disability and biomedical engineering. Precisely, our goal is to design, develop and validate practical assistive biomedical and/technical devices and/or rehabilitating procedures for persons with disabilities, using artificial tongue-placed tactile biofeedback systems. Proposed applications are dealing with: (1) pressure sores prevention in case of spinal cord injuries (persons with paraplegia, or tetraplegia); (2) ankle proprioceptive acuity improvement for driving assistance in older and/or disabled adults; and (3) balance control improvement to prevent fall in older and/or disabled adults. This paper presents results of three feasibility studies performed on young healthy adults