Regional Climate Shocks and Market Uncertainty: A Distributional Analysis of Water Stress on Arabica Coffee Prices
XGBoostLSS, GAMLSS, Distributional Regression, Price Volatility, Agrometeorology, Arabica Coffee.
This study formally tests the popular belief that regional water stress drives up coffee prices, using Minas Gerais, Brazil’s leading Arabica coffee-producing state, as a case study within a globally determined price market. After confirming, via ADF/KPSS diagnostics, that the logreturn of the deflated CEPEA/ESALQ price series is stationary while the price level is not, we adopt the log-return as the primary target and employ a dual-framework distributional strategy: a parametric GAMLSS model (Sinh-Arcsinh) and a machine learning model (XGBoostLSS, Student-t), both estimating the conditional mean (µ) and volatility (σ) jointly. Automatic term selection in the GAMLSS framework removed all climate terms from every distributional parameter, a result consistent with the market efficiency hypothesis (H2). TreeSHAP analysis of the XGBoostLSS model showed that the mean absolute contribution of climate indices to σ was over twenty times larger than to µ (0.14 versus 0.006), revealing a threshold effect above which water deficit sharply amplifies volatility, a pattern that persisted after removing the most extreme observations. Re-specifying the GAMLSS volatility equation with a smooth water-deficit term, informed by this machine learning finding, yielded an individually significant coefficient (p = 0.007); however, a likelihood-ratio test did not justify the added complexity (p = 0.458). This indicates a qualitative convergence between frameworks not yet confirmed at conventional statistical thresholds, plausibly reflecting limited statistical power in the extremestress subsample (14% of observations). Out-of-fold calibration diagnostics confirmed adequate fit for the log-return model, while the secondary price-level specification exhibited autocorrelation, tree-extrapolation limitations, and calibration failure—reinforcing its treatment as a robustness comparison rather than a primary target. Overall, the evidence indicates that regional climate extremes in Minas Gerais do not move the average coffee price, but do amplify market uncertainty.