A Quantile Functional Regression Approach to Marine Data Analysis
摘要
This study applies Function-on-Function Linear Quantile Regression (FFQR) to assess the influence of key marine variables, salinity, conductivity, chlorophyll, pH, and turbidity, on marine water temperature along the Abruzzo coastline (Italy). Unlike traditional regression models focused on mean trends, FFQR allows for a detailed analysis across different quantiles, capturing variability and extreme values associated with thermal stress. Functional data collected at multiple depths and transects are modeled using a combination of Functional Principal Component Regression and quantile techniques. The results show that conductivity, chlorophyll (a), pH, and turbidity significantly affect the upper quantiles of the temperature distribution, supporting the utility of FFQR in detecting marine heat anomalies and revealing complex ecological patterns.