Terms Of Allometry Research Articles

Are fine roots ‘leaves underground' in terms of allometry? A test in a tropical forest successional series in southwest China

Fine roots have been hypothesized to be ‘leaves underground' in terms of vascular network, but this hypothesis has rarely been tested within the framework of metabolic scaling theory (MST). We measured average fine‐root (diameter < 1 mm) mass (M), surface area (A), volume (V), diameter (D) and length (L) for 216 soil cores from 24 plots across four successional stages in tropical forests of Xishuangbanna (southwest China), and examined eight scaling relationships between these variables at the individual root scale. We tested whether fine‐root allometries conformed to MST's model for leaf (MSTl) or model (MSTw) for woody organs (e.g. trunk). We also assessed the relative effects of environmental factors, tree size, species composition and diversity, and stand structural factors on allometric relationships using structural equation models (SEMs). Our results showed that: 1) fine‐root scaling exponents rarely conformed to MSTl's predictions. 2) The scaling exponents between fine‐root M, A, V and D all conformed to MSTw's predictions in later successional forests, but showed greater deviation towards early successional stage. 3) The scaling exponents associated with fine‐root length differed markedly from MSTw's predictions. 4) Changes of some fine‐root scaling exponents across successional stage were mainly affected by tree size or soil fertility, and species composition affected allometry only indirectly via tree size. Our results suggested that the allometries of individual fine roots largely conform to the scaling rules governing woody organs instead of leaves, probably because leaves are nearly two‐dimensional objects while the other two are three‐dimensional. We showed that MSTwcan well predict some fine‐root allometries in later successional forests, suggesting great potential of utilizing MSTwto better estimate fine‐root biomass and productivity. However, the present MSTwstill needs to be improved for predicting the scaling relationships concerning fine‐root length, and also for better quantifying allometric exponents in earlier successional forests.

Allometric conservatism in the evolution of bird beaks.

Evolution can involve periods of rapid divergent adaptation and expansion in the range of diversity, but evolution can also be relatively conservative over certain timescales due to functional, genetic‐developmental, and ecological constraints. One way in which evolution may be conservative is in terms of allometry, the scaling relationship between the traits of organisms and body size. Here, we investigate patterns of allometric conservatism in the evolution of bird beaks with beak size and body size data for a representative sample of over 5000 extant bird species within a phylogenetic framework. We identify clades in which the allometric relationship between beak size and body size has remained relatively conserved across species over millions to tens of millions of years. We find that allometric conservatism is nonetheless punctuated by occasional shifts in the slopes and intercepts of allometric relationships. A steady accumulation of such shifts through time has given rise to the tremendous diversity of beak size relative to body size across birds today. Our findings are consistent with the Simpsonian vision of macroevolution, with evolutionary conservatism being the rule but with occasional shifts to new adaptive zones.

Ontogeny of a sexual dimorphism in tiger salamanders

Sexual dimorphism results when the sexes differ in the degree to which trait elaboration confers a reproductive or survival advantage. Trait size dimorphism is often reported in terms of allometry, typically using adults of varying ages (static allometry). A static allometric analysis of tail length in breeding tiger salamanders ( Ambystoma tigrinum (Green, 1825)) revealed that tail length is a positive allometric trait in both sexes, as well as a sexually dimorphic trait. Although static analyses are common in the literature, ontogenetic allometric analyses in which individuals are measured through time are preferred because they provide insight into the heterochronic process underlying trait divergence between the sexes and which sex is diverging from its earlier growth trajectory. I reared 91 individuals from the zygote stage to sexual maturity. An ontogenetic analysis revealed that tail length was isometric in larvae and young metamorphs of both sexes; however, tail length became allometric in males but not in females prior to sexual maturation. I also present static allometric analyses and show how conclusions differ from those of ontogenetic analyses. Lastly, I discuss how sex differences in selection gradients, as well as resource allocation costs, might influence differences between the sexes in the duration and rate of trait growth.

Ontogenetic allometry, heterochrony, and interspecific differences in the skull of African apes, using tridimensional Procrustes analysis.

Ontogenetic studies of African ape skulls lead to an analysis of morphological differences in terms of allometry, heterochrony, and sexual dimorphism. The use of geometric morphometrics allows us 1) to define size and shape variations as independent factors (an essential but seldom respected condition for heterochrony), and 2) to calculate in percentage of shape changes and to graphically represent the parts of shape variation which are related to various biological phenomena: common allometry, intraspecific allometry, and allometric and nonallometric shape discrimination. Three tridimensional Procrustes analyses and the calculation of multivariate allometries, discriminant functions, and statistical tests are used to compare the skulls of 50 Pan troglodytes, and 50 Gorilla gorilla of different dental stages. The results both complement and modify classical results obtained from similar material but with different methods. Size and Scaling in Primate Morphology, New York: Plenum, p. 175-205). As previously described by Shea, the common growth allometric pattern is very important (64% of total shape variation). It corresponds to a larger increase of facial volume than of neurocranial volume, a more obliquely oriented foramen magnum, and a noticeable reshaping of the nuchal region (higher inion). However, the heterochronic interpretation based on common allometry is rather different from Shea. Gorillas differ from chimpanzees not only with a larger magnitude of allometric change (rate peramorphosis), as is classically said, but also grow more in size than in shape (size acceleration). In other words, for a similar stage of growth, gorillas have the size and shape corresponding to older chimpanzees, and for a similar shape, gorillas have a larger size than chimpanzees. In contrast, sexual dimorphism actually corresponds to allometric changes only, as classically demonstrated (time hypermorphosis). Sexual dimorphism is here significant in adult gorillas alone, and solely in terms of allometry (size-related shape and size, given that sagittal and nuchal crests are not taken into account). The study also permits us to differentiate two different shape variations that are classically confused in ontogenetic studies: a very small part of allometric shape change which is specific to each species (1% of the total shape variation), and nonallometric species-specific traits independent of growth (8% of total shape change). When calculated in terms of intraspecific allometries (including common allometry and noncommon allometry), shape changes are more extensive in gorillas (36% of total shape change) than in chimpanzees (29% of total shape change). The allometric differences mainly concern the inion, which becomes higher; the position of the foramen magnum, more dorsally oriented; and the palate, more tilted in adult gorillas than in adult chimpanzees. In contrast, nonallometric species-specific traits in gorillas are the long and flat vault characterized by a prominent occipital region, the higher and displaced backward glabella, and the protrusive nose. Biomechanical schemes built from shape partition suggest that the increased out-of-plumb position of the head during growth is partially compensated in gorillas by a powerful nuchal musculature due to the peculiar shape of the occipital region.

Biological image analysis for microscopical diagnosis: The work-station S.A.M. (Shape Analytical Morphometry)

The S.A.M. (Shape Analytical Morphometry) software system and its related work-station give a generalized and easy-to-handle tool to face a classic and intriguing problem in biomedical morphological diagnosis. What is the shape of an object in a microscopic image? How can we understand the relationship between size and shape? According to Holloway: "Measurements such as length, width, height, whether in chords or arcs only describe space, ... and further run into the abyss of allometric correction ... if additional information (shape?) to size is expected, some method of allometric correction must be used." The S.A.M. software system assumes a logic architecture able to separate and to parametrize independently shape characteristics in terms of allometry and local pertubation by analytical procedures (polynomials, parabolic fitting, Fourier analysis) in addition to the classic evaluations of size and density carried out by image analyzers for microscopical diagnosis.

Growth of capillaries and myocardial cells in the normal rat heart

The normal growth process of myocardial cells and capillaries in the late postnatal period (after weaning) was studied in 33 normal male Wistar rats (group I: 5 weeks, n = 9; group II: 7 weeks, n = 7; group III: 13 weeks, n = 8; group IV: 52 weeks, n = 9). The rats were fixed by retrograde vascular perfusion via the abdominal aorta. Two transverse and 2 longitudinal sections per animal were selected at random from the left ventricular papillary muscles for light and electron microscopic stereological investigation. Length density and surface density of myocardial cells and capillaries were estimated with correction for partial anisotropy and curvature by means of the mathematical model of a Dimroth-Watson orientation distribution. The results were analyzed by allometric techniques. Relative left and right ventricular weight decreased continuously throughout the growth process; in terms of allometry, ventricular weight was proportional to (body weight). The capillaries showed predominantly longitudinal growth with nearly constant cross-sectional area, whereas the myocardial cells grew by nearly harmonic enlargement into all three directions of space. The relation between total capillary length and left ventricular weight could be described in close approximation by the allometric model (r = 0.98, P less than 0.001). Corresponding to the result that total capillary length was proportional to (left ventricular weight)0.71, the myocardial capillarization (length, surface area, and volume of capillaries per unit tissue volume) decreased with increasing heart size. As allometry makes possible the quantitation of the intensity of growth processes by a single dimensionless number (the allometric exponent), this method permits a convenient interlaboratory comparison of growth studies, and it allows a comparison of capillary reactions during maturation and in experimental cardiac hypertrophy.

Multivariate analysis of morphometry and dry weight of Pacific herring larvae

Bivariate and multivariate condition factors of reared Pacific herring larvae Clupea harengus pallasi were compared in terms of their independence from size, their biological meaning, and their orthogonality. Ratios and residuals of univariate regressions were mixtures of size and shape information, could not be interpreted in terms of allometry, and were highly intercorrelated. All principal components, except the first, were independent of size, their loading patterns revealed reliable information about allometry and they were completely uncorrelated with each other. Examination of the length and weight data of reared and wild Pacific and Atlantic herring larvae reported in the literature indicated that reared larvae are heavier per unit length than wild larvae, that morphometry varies between the two sub-species, and that the effects of enclosure and gear selection confound the calibration of condition factors with reared learning samples. The implications for the use of morphometric condition factors in larval fish ecology are discussed.