The Evolution of Modularity in the Mammalian Skull I: Morphological Integration Patterns and Magnitudes

Morphological integration refers to the modular structuring of inter-trait relationships in an organism, which could bias the direction and rate of morphological change, either constraining or facilitating evolution along certain dimensions of the morphospace. Therefore, the description of patterns and magnitudes of morphological integration and the analysis of their evolutionary consequences are central to understand the evolution of complex traits. Here we analyze morphological integration in the skull of several mammalian orders, addressing the following questions: are there common patterns of inter-trait relationships? Are these patterns compatible with hypotheses based on shared development and function? Do morphological integration patterns and magnitudes vary in the same way across groups? We digitized more than 3,500 specimens spanning 15 mammalian orders, estimated the correspondent pooled within-group correlation and variance/covariance matrices for 35 skull traits and compared those matrices among the orders. We also compared observed patterns of integration to theoretical expectations based on common development and function. Our results point to a largely shared pattern of inter-trait correlations, implying that mammalian skull diversity has been produced upon a common covariance structure that remained similar for at least 65 million years. Comparisons with a rodent genetic variance/covariance matrix suggest that this broad similarity extends also to the genetic factors underlying phenotypic variation. In contrast to the relative constancy of inter-trait correlation/covariance patterns, magnitudes varied markedly across groups. Several morphological modules hypothesized from shared development and function were detected in the mammalian taxa studied. Our data provide evidence that mammalian skull evolution can be viewed as a history of inter-module parcellation, with the modules themselves being more clearly marked in those lineages with lower overall magnitude of integration. The implication of these findings is that the main evolutionary trend in the mammalian skull was one of decreasing the constraints to evolution by promoting a more modular architecture.

The Evolution of Modularity in the Mammalian Skull II: Evolutionary Consequences

Changes in patterns and magnitudes of integration may influence the ability of a species to respond to selection. Consequently, modularity has often been linked to the concept of evolvability, but their relationship has rarely been tested empirically. One possible explanation is the lack of analytical tools to compare patterns and magnitudes of integration among diverse groups that explicitly relate these aspects to the quantitative genetics framework. We apply such framework here using the multivariate response to selection equation to simulate the evolutionary behavior of several mammalian orders in terms of their flexibility, evolvability and constraints in the skull. We interpreted these simulation results in light of the integration patterns and magnitudes of the same mammalian groups, described in a companion paper. We found that larger magnitudes of integration were associated with a blur of the modules in the skull and to larger portions of the total variation explained by size variation, which in turn can exert a strong evolutionary constraint, thus decreasing the evolutionary flexibility. Conversely, lower overall magnitudes of integration were associated with distinct modules in the skull, to smaller fraction of the total variation associated with size and, consequently, to weaker constraints and more evolutionary flexibility. Flexibility and constraints are, therefore, two sides of the same coin and we found them to be quite variable among mammals. Neither the overall magnitude of morphological integration, the modularity itself, nor its consequences in terms of constraints and flexibility, were associated with absolute size of the organisms, but were strongly associated with the proportion of the total variation in skull morphology captured by size. Therefore, the history of the mammalian skull is marked by a trade-off between modularity and evolvability. Our data provide evidence that, despite the stasis in integration patterns, the plasticity in the magnitude of integration in the skull had important consequences in terms of evolutionary flexibility of the mammalian lineages.

Craniometric Similarities Within and Between Human Populations in Comparison with Neutral Genetic Data

The statement that pairs of individuals from different populations are often more genetically similar than pairs from the same population is a widespread idea inside and outside the scientific community. Witherspoon et al. [""Genetic similarities within and between human populations,"" Genetics 176:351-359 (2007)] proposed an index called the dissimilarity fraction (omega) to access in a quantitative way the validity of this statement for genetic systems. Witherspoon demonstrated that, as the number of loci increases, omega decreases to a point where, when enough sampling is available, the statement is false. In this study, we applied the dissimilarity fraction to Howells`s craniometric database to establish whether or not similar results are obtained for cranial morphological traits. Although in genetic studies thousands of loci are available, Howells`s database provides no more than 55 metric traits, making the contribution of each variable important. To cope with this limitation, we developed a routine that takes this effect into consideration when calculating. omega Contrary to what was observed for the genetic data, our results show that cranial morphology asymptotically approaches a mean omega of 0.3 and therefore supports the initial statement-that is, that individuals from the same geographic region do not form clear and discrete clusters-further questioning the idea of the existence of discrete biological clusters in the human species. Finally, by assuming that cranial morphology is under an additive polygenetic model, we can say that the population history signal of human craniometric traits presents the same resolution as a neutral genetic system dependent on no more than 20 loci.

Genetic Heteroscedasticity for Domestic Animal Traits

Animal traits differ not only in mean, but also in variation around the mean. For instance, one sire’s daughter group may be very homogeneous, while another sire’s daughters are much more heterogeneous in performance. The difference in residual variance can partially be explained by genetic differences. Models for such genetic heterogeneity of environmental variance include genetic effects for the mean and residual variance, and a correlation between the genetic effects for the mean and residual variance to measure how the residual variance might vary with the mean. The aim of this thesis was to develop a method based on double hierarchical generalized linear models for estimating genetic heteroscedasticity, and to apply it on four traits in two domestic animal species; teat count and litter size in pigs, and milk production and somatic cell count in dairy cows. The method developed is fast and has been implemented in software that is widely used in animal breeding, which makes it convenient to use. It is based on an approximation of double hierarchical generalized linear models by normal distributions. When having repeated observations on individuals or genetic groups, the estimates were found to be unbiased. For the traits studied, the estimated heritability values for the mean and the residual variance, and the genetic coefficients of variation, were found in the usual ranges reported. The genetic correlation between mean and residual variance was estimated for the pig traits only, and was found to be favorable for litter size, but unfavorable for teat count.

Cranial differentiation and evolution in Thrichomys apereoides (Rodentia: Echimyidae)

Thrichomys apereoides is an echimyid rodent which ranges in distribution from north-eastern and central Brazil into Paraguay, and currently five subspecies are recognized. Recent morphometric analyses of population samples formally assignable to T. a. laurentius and T. a. inermis, which occur in north-eastern Brazil, have shown that a major group of populations including both subspecies differ in cranial shape from a single population allocated to T. a. laurentius. In this study we employed mathematical models of evolutionary quantitative genetics to assess the role that random drift and selection may have played in the evolution of cranial shape differences in T. apereoides. The hypothesis of evolution due to drift was rejected and the selective forces necessary to account for shape differences were estimated. Minimum selective mortalities of the order of 10(-3) per generation were sufficient to explain the observed morphologic differentiation.

Estratégias de seleção dentro de progênies em duas populações de myracrodruon urundeuva Fr. All.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Comportamento de populações de Myracrodruon urundeuva Fr. All. procedentes de áreas com perturbação antrópica

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Strategies to improve the efficiency of genomic selection in animal breeding programs

Pós-graduação em Zootecnia - FCAV

Análises quantitativas aplicadas à seleção e acasalamento de búfalos na Amazônia Oriental

O trabalho aplica estudos de genética quantitativa aos registros de búfalos do Estado do Pará, gerando respostas auxiliares aos criadores para a seleção e acasalamento dos animais. A análise de pedigree para estudo da variabilidade genética nos rebanhos participantes do Programa de Melhoramento Genético foi estimada por meio dos cálculos dos parâmetros baseados na probabilidade de origem de gene, coeficiente de endogamia, parentesco e intervalo médio entre gerações, pelo software PEDIG®; do número efetivo de fundadores (Nfun), número efetivo de ancestrais (Na) e intervalo de gerações pelo software PROB_ORIG.exe presente no pacote PEDIG®; do número efetivo de genomas remanescentes (Ng), calculado pelo software SEGREG.exe. Foram calculadas as estatísticas descritivas, a análise de variância e realizado o teste de Normalidade de Shapiro-Wilk por meio do pacote estatístico Statistical Analisys System. As estimativas de herdabilidade para a característica Peso ao Nascer (PN) foram obtidas por meio de inferência Bayesiana pelo programa GIBBS2F90.exe. Os valores genéticos foram obtidos por meio do programa BLUPF90.exe e a regressão das Diferenças Esperadas na Progênie sobre o ano de nascimento foi realizada pelo Excel for Windows para obtenção da tendência genética do PN. O Nfun foi igual a 28,6, o Na igual a 22,8, o Ng igual a 11,2, a razão Nfun/Na foi 1,25, indicando a diminuição do número de reprodutores ao longo dos períodos e a razão Ng/Nfun foi de 0,39. Apesar do intervalo de gerações de 12,5 anos, o número efetivo de gerações foi próximo a cinco. O número total de animais estudados considerados endogâmicos foi 33,4%, sendo a máxima encontrada de 40,8%, a média da endogamia entre os animais endogâmicos foi 10,4%, e o valor médio da endogamia no arquivo total foi 3,5%. O PN de bezerros bubalinos apresentou média e desvio padrão de 36,6 ± 4,7 kg. A característica PN não apresentou distribuição Normal, com valor de W=0,976271 e P

Variação genética para os caracteres fisiológicos, bioquímicos e nutricionais em sementes de uma população base de Myracrodruon urundeuva procedente de Aquidauana-MS

Pós-graduação em Agronomia - FEIS

Diversidade genética em populações de Myracrodruon urundeuva (F.F. & M.F. Allemão) utilizando caracteres quantitativos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Conservação genética Ex Situ de populações naturais de Myracrodruon urundeuva Fr. All. em sistema silvipastoril

Pós-graduação em Agronomia - FEIS

Variabilidade genética e correlações juvenil - adulto de baru (Dipteryx alata Vog.) no Município de Brasilândia - Mg

Pós-graduação em Ciência Florestal - FCA

Variação genética para caracteres silviculturais em progênies de polinização aberta de Astronium graveolens Jacq. (Anacardiaceae)

This study has investigated the genetic variation for silvicultural traits in an open-pollinated progeny test of Astronium graveolens Jacq., established at Luiz Antônio Experimental Station (State of São Paulo, Brazil). The trial was planted in a random block experimental design, containing 23 families, six replications and five plants per plot. The traits measured were diameter at breast height (DBH), total height and stem form. The assessments were taken at the age of 19 years. Significant differences were not detected by the analysis of variance, suggesting that the genetic variation was low, as well as the probability to raising genetic gains through selection among progenies. The coefficient of genetic variation was moderate for the traits height (8.2%) and DBH (21.2%) and low to stem form (4.0%). However, the average coefficient of heritability among progenies was low for all studied traits (ranging from 0.02 to 0.15), confirming the low probability of genetic improvement of this population by selection among progenies.

Estudo da interação genótipo ambiente em búfalos leiteiros do Brasil e da Colômbia

Pós-graduação em Zootecnia - FCAV