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Modeling climate effects on hip fracture rate by the multivariate GARCH model in Montreal region, Canada

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Abstract

Changes in extreme meteorological variables and the demographic shift towards an older population have made it important to investigate the association of climate variables and hip fracture by advanced methods in order to determine the climate variables that most affect hip fracture incidence. The nonlinear autoregressive moving average with exogenous variable-generalized autoregressive conditional heteroscedasticity (ARMAX-GARCH) and multivariate GARCH (MGARCH) time series approaches were applied to investigate the nonlinear association between hip fracture rate in female and male patients aged 40–74 and 75+ years and climate variables in the period of 1993–2004, in Montreal, Canada. The models describe 50–56 % of daily variation in hip fracture rate and identify snow depth, air temperature, day length and air pressure as the influencing variables on the time-varying mean and variance of the hip fracture rate. The conditional covariance between climate variables and hip fracture rate is increasing exponentially, showing that the effect of climate variables on hip fracture rate is most acute when rates are high and climate conditions are at their worst. In Montreal, climate variables, particularly snow depth and air temperature, appear to be important predictors of hip fracture incidence. The association of climate variables and hip fracture does not seem to change linearly with time, but increases exponentially under harsh climate conditions. The results of this study can be used to provide an adaptive climate-related public health program and ti guide allocation of services for avoiding hip fracture risk.

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Acknowledgments

The work was supported by the Institut National de Santé Publique du Québec (INSPQ) and the Institut National de la Recherche Scientifique—Centre Eau, Terre et Environnement (INRS-ETE), the Green Fund in the framework of Action 21 of the Government of Québec’s 2006–2012 Climate Change Action Plan and the Network of Centers of Excellence GEOIDE and the Fonds de Recherche en Santé du Québec (FRSQ).

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Correspondence to Reza Modarres.

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Modarres, R., Ouarda, T.B.M.J., Vanasse, A. et al. Modeling climate effects on hip fracture rate by the multivariate GARCH model in Montreal region, Canada. Int J Biometeorol 58, 921–930 (2014). https://doi.org/10.1007/s00484-013-0675-6

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  • DOI: https://doi.org/10.1007/s00484-013-0675-6

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