Characterization of the correlation structure of lumber strength properties

Spatially averaged data from the literature for along-the-length correlation of lumber flatwise bending modulus of elasticity and tensile strength was analyzed to determine the correlation of the base process for each property. The cross correlation between the two properties was also examined. The exponential correlation function, equivalent to a first-order auto-regressive process, was the best model for both correlation and cross correlation, based on the sum of squared errors between the correlations from the test data and the fitted model. The fitted functions can be used to generate correlation and cross correlation information for spatially averaged processes averaged over lengths different from the lengths used to obtain the test data.