Density distribution of observed scaling exponents a
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\begin{document}$$ {{\upalpha}}_{h ,d}^{k} $$\end{document} and b
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\begin{document}$$ {{\upalpha}}_{{\text{csa}},{d}}^{{k}} $$\end{document} for Norway spruce (sp), European beech (be) and sessile oak (oak) based on individual tree measurements on long-term experimental plots in pure stands. Expected scaling exponents for an allometric ideal plant according to metabolic scaling theory and Euclidian geometric similitude are represented by solid and broken bars, respectively \documentclass[12pt]{minimal}
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\begin{document}$$ {{\upalpha}}_{h ,d}^{k} $$\end{document}, scaling of individual tree height h, versus individual tree diameter d; \documentclass[12pt]{minimal}
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\begin{document}$$ {{\upalpha}}_{{{\text{csa,}}d}}^{k} $$\end{document}, individual tree crown cross-sectional area \documentclass[12pt]{minimal}
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\begin{document}$$ {\text{csa}} $$\end{document}, versus individual tree diameter d
