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Relations of soluble solids and acid contents to fruit size were examined with fruits harvested from 9-year-old Miyagawa Wase trees grown in the Chiba Horticultural Experiment Station, Tateyama, Japan. Fully mature fruits at harvest were sized into 5 classes and 640 fruits randomly chosen from each class were used as the material. Mean weights of fruit and the pulp, and mean concentrations of soluble solids and titratable acids in the juice were determined for each class. 1. An allometric relation, w'=Hwh, was observed between pulp weight(w', fresh weight of a whole pulp per fruit) and fruit weight (w, fresh weight). 2. With increasing fruit size, the soluble solids concentration (brix) and titratable acid concentration in the juice decreased, but the rate of decrease tended to become smaller with an increase in fruit weight. 3. The total soluble solids content of whole pulp (Xs), estimated by the product of brix reading and pulp weight, was positively correlated with fruit weight (w), following the allometric function similar to the pulp weight-fruit weight allometry. 4. The total acid content of a whole pulp (xA), or the product of titratable acid concentration in the juice and pulp weight, increased with an increase in fruit size, but tended to approach a ceiling value at very large size classes. This relation can approximately be expressed by the reciprocal equation, 1/xA= (A/w) +B, a special case of the so-called generalized allometric function, 1/xA= (A/wh) +B, proposed by Ogawa et al. (14). 5. From these formulations of the interrelationships among fruit weight, pulp weight, and total soluble solids and acid contents of a whole pulp, relations of fruit size to soluble solids and acid concentrations in the juice and their ratio were also formulated.

Relations of Fruit Size of Satsuma Mandarin to the Sugar and Acid Contents