Table 2.

Correlation between intra-individual scaling exponents of Norway spruce, European beech, and sessile oak

Species	Characteristics	\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{h ,d}^{k} $$\end{document} × \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{{{\text{csa,}}d}}^{k} $$\end{document}	\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{h ,d}^{k} $$\end{document} × \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{v ,d}^{k} $$\end{document}	\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{{{\text{csa,}}d}}^{k} $$\end{document} × \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{v ,d}^{k} $$\end{document}
Norway spruce	OLS regression
	a0(±SE)	1.12 (±0.011)	−3.03 (±0.023)	6.43 (±0.127)
	a1 (±SE)	−0.33 (± 0.007)	1.43 (± 0.009)	−1.92 (±0.049)
	N	2,425	2,566	2,425
	p value	p < 0.001	p < 0.001	p < 0.001
	R 2	0.461	0.904	0.385
	Pearson correlation
	r	−0.68	+0.95	−0.62
	p value	p < 0.001	p < 0.001	p < 0.001
European beech	OLS regression
	a0 (±SE)	0.62 (±0.005)	−1.35 (±0.016)	6.64 (±0.362)
	a1 (±SE)	−0.06 (±0.004)	0.75 (±0.006)	−2.15 (±0.143)
	N	1,015	1,058	1,015
	p value	p < 0.001	p < 0.001	p < 0.001
	R 2	0.192	0.930	0.183
	Pearson correlation
	r	−0.44	+0.99	−0.43
	p value	p < 0.001	p < 0.001	p < 0.001
Sessile oak	OLS regression
	a0 (±SE)	0.76 (±0.014)	−2.91 (±0.014)	4.32 (±0.224)
	a1 (±SE)	−0.10 (±0.008)	1.33 (±0.005)	−1.03 (±0.085)
	N	1,705	1,993	1,705
	p value	p < 0.001	p < 0.001	p < 0.001
	R 2	0.074	0.969	0.080
	Pearson correlation
	r	−0.27	+0.99	−0.28
	p value	p < 0.001	p < 0.001	p < 0.001

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{h ,d}^{k} $$\end{document} tree height h, versus tree diameter d; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{{{\text{csa,}}d}}^{k} $$\end{document} crown cross-sectional area csa, versus tree diameter d; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{v ,d}^{k} $$\end{document} scaling of tree volume v, versus tree diameter d; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\upalpha}}_{{{\text{cv,}}v}}^{k} $$\end{document} crown volume cv, versus tree volume v