LAUSR

Abstract Ultimate analysis, energy dispersive X-ray spectroscopy (EDX), and X-ray photoelectron spectroscopy (XPS) are widely used methods for the determination of elemental composition of biomaterials such as biochar. However, models that describe the relationship in elemental composition between ultimate and spectroscopic methods are lacking. Elemental composition of biochars determined using ultimate analysis, EDX, and XPS methods was used to develop relationships among these methods using linear regression and generalized additive modelling. The relationships were evaluated using min/max accuracy and cross-validation. Based on Akaike information criterion and generalized cross-validation scores, the generalized additive model with a thin plate spline (TPS) best described the relationships. Model performance significantly improved by adding a feedstock-dependent grouping variable. Elemental carbon concentration determined by the different methods was significantly related (R2 = 0.82−0.88) by the TPS. Although not detected by EDX, nitrogen concentration was significantly related by TPS (R2 = 0.77) between the ultimate and XPS methods. For oxygen concentration, a strongly significant relationship (R2 = 0.83−0.86) was found between the ultimate and both spectroscopic methods, but a weak one (R2