Here, to illustrate choices and challenges associated with generating local-scale projections of multi-variate indicators, we quantify a set of uncertainties in the calculation of multivariate daily maximum HI. HI is typically calculated using co-varying temperature and humidity. However, in climate models that lack hourly data for these variables, daily maximum temperature and minimum humidity have been used to estimate daily maximum HI (HImaxest). For a given day, this approximation can either exactly match the true daily maximum HI or underestimate it. We analyze hourly observations of temperature and humidity from selected weather across the US to calculate two versions of HI: HImax24, computed as the maximum of 24 hourly HI, and HImaxest, derived from daily maximum temperature and minimum humidity. We compare the frequency of extreme heat days at each station using these different HI calculations. We also quantify the impact of different bias correction techniques on HImaxest. Using downscaled data from the same station locations, we compare univariate versus multivariate and direct versus indirect bias correction approaches to understand how they affect HI values and extreme heat index day counts. The relative magnitude of uncertainties associated with these approximation and data processing choices is compared with the more commonly considered scenario and choice of climate model uncertainties.
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