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The allometric scaling of metabolic rate of organisms, the three-quarters power rule, has led to a questioning of the basis for the relation. We attacked this problem experimentally for the first time by employing the modular organism, the ascidian that forms a single layered flat colony, as a model system. The metabolic rate and colony size followed the three-quarters power relation, which held even after the colony size was experimentally manipulated. Our results established that the three-quarters power relation is a real continuous function, not an imaginary statistical regression. The fact that all the hypotheses failed to explain why the two-dimensional organism adhered to the three-quarters power relation led us to propose a new hypothesis, in which the allometric relation derives from the self-organized criticality based on local interaction between modulus-comprising organisms.

@article{nakaya_experimental_2005, title = {Experimental allometry: effect of size manipulation on metabolic rate of colonial ascidians}, volume = {272}, issn = {0962-8452, 1471-2954}, shorttitle = {Experimental allometry}, url = {https://royalsocietypublishing.org/doi/10.1098/rspb.2005.3143}, doi = {10.1098/rspb.2005.3143}, abstract = {The allometric scaling of metabolic rate of organisms, the three-quarters power rule, has led to a questioning of the basis for the relation. We attacked this problem experimentally for the first time by employing the modular organism, the ascidian that forms a single layered flat colony, as a model system. The metabolic rate and colony size followed the three-quarters power relation, which held even after the colony size was experimentally manipulated. Our results established that the three-quarters power relation is a real continuous function, not an imaginary statistical regression. The fact that all the hypotheses failed to explain why the two-dimensional organism adhered to the three-quarters power relation led us to propose a new hypothesis, in which the allometric relation derives from the self-organized criticality based on local interaction between modulus-comprising organisms.}, language = {en}, number = {1575}, urldate = {2021-07-26}, journal = {Proceedings of the Royal Society B: Biological Sciences}, author = {Nakaya, Fumio and Saito, Yasunori and Motokawa, Tatsuo}, month = sep, year = {2005}, pages = {1963--1969}, }

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