Notes on Differential Growth

Abstract
A number of numerical data found in the literature have been analyzed in relation to the idea of differential growth-ratios and growth-gradients. The [female] abdomen of Pinnotheres has, both for breadth and length, a steep growth-gradient with growth-center in the terminal segment. The growth-gradient for length is at a lower absolute level than that for breadth, but is steeper. The [female] abdomen of Telmessus has a much flatter growth-gradient (determined only for breadth) with growth-center in the subterminal (6th) segment. The corresponding growth-gradient for the [male] abdomen is still flatter, with growth-center between the 4th and 5th segments. The racing crab Ocypoda shows negative heterog-ony of its walking limbs, whereas its chela is isogonic. In positively heterogonic crustacean walking legs so far investigated, the center of maximum growth is in the merus. Here, the merus is the center of minimum growth. The growth-gradient for the walking legs is quite different from that for the chela, which resembles that for the immature chela of Eupagurus. This association between negative heterogony and a center of minimum growth is also seen in the limbs of sheep, and includes the limb-girdles. The form of the gradient alters markedly about birth. During metamorphosis, the herring shows radical differences in the growth-intensity of different regions. Dorsal and ventral parts of the same region of the body may show different growth-coefficients. Quantitative evaluation of these has permitted the construction of an approximate "growth-profile" for the whole organism. The right chelar propus length of Portunus sayi has a nearly constant coefficient of growth-partition, of about 1.15 relative to carapace-length. The coefficient of growth-partition for regenerating chelar propus after 1 molt-period is slightly higher, viz., about 1.20. Thus larger chelae regenerate a slightly greater proportion of propus-length during 1 molt-period than do smaller chelae.