On the similarity of tree-ring patterns: Assessing the influence of semi-synchronous growth changes on theGleichlaufigkeitskoeffizientfor big tree-ring data sets

摘要

TheGleichlaufigkeitskoeffizient(GLK), or the percentage of parallel variation (%PV), is an often used non-parametric similarity measure in dendrochronological research. However, when analysing big data sets using the GLK, this measure has some issues. The main problem is that it includes not only synchronous but also semi-synchronous growth changes. These are years in which the growth in one of the compared series does not change in two subsequent years. This influences the GLK, often only slightly, but the larger the data set the stronger the effect. The similarity between tree-ring series can be more objectively expressed by replacing the GLK with the synchronous (SGC) and semi-synchronous growth changes (SSGC). The calculation is similar, since GLK = SGC + SSGC/2. Large values of the SSGC are indicative of possible anomalies or even errors. The SGC is much better suited than the GLK to describe similarity. The SGC should therefore be used to analyse big data sets, for clustering and/or dendroprovenance studies. It is recommended to combine the SGC with parametric measures.