data_Bontempsetal2016

data_Bontempsetal201

Compromise analysis of the partial triadic analysis depicting the temporal evolution of spatial structures.

<p>A. Correlation circle of the principal component analysis of the compromise table (a <i>tree</i> × <i>ring</i> descriptors table). The first (horizontal) and second (vertical) principal components accounted for 55.4 and 23.9% of the inertia, respectively. B. Map of the tree score upon the first axis of the PCA of the compromise table showing a strong spatial structure with alternating humps and bumps corresponding to patches of negative and positive scores. The symbol size is proportional to the absolute value of the score. Circles (squares) stand for positive (negative) values.</p

Intrastructure analysis of the partial triadic analysis depicting the spatial structure of temporal dynamics.

<p>Map of the trees showing the number of times each one fell outside the 95% envelopes of the tree coordinates projected onto the first axis of the principal component analysis of the compromise for each date.</p

Intrastructure analysis of the partial triadic analysis depicting the temporal evolution of spatial structures.

<p>Scatter plot showing the coordinates of the ring variables projected onto the first axis of the principal component analysis of the compromise table across dates.</p

Ring variables used in the study.

<p>Ring variables used in the study.</p

Interstructure analysis of the partial triadic analysis depicting the temporal evolution of spatial structures.

<p>A. Scores of the sampling dates upon the principal components of the principal component analysis of the inter-date correlation matrix. The first principal component (horizontal axis) represented 61.2% of the inertia. The second component (vertical axis) accounted for 9.7% of the total inertia. B. Scores of the sampling dates upon both first and second axes as a function of the years.</p

The partial triadic analysis is designed to analyze the realizations of a set of random variables (ring descriptors) measured on a set of points (trees) at different sampling occasions (dates).

<p>This corresponds to a three-way table with three subscripts (X_ijt) standing for trees, descriptors, and dates, respectively. A given dataset can be analyzed from two complementary viewpoints: seeking for either the temporal evolution of spatial structures (1A) or the spatial structure of temporal dynamics (1B).</p