Faculty of Life Sciences, University of Manchester, Michael Smith Building, Oxford Road, Manchester, M13 9PT, UK.
UMR 7205 CP 50 Entomologie/service Hyménoptères, Muséum National d'Histoire Naturelle, 45 rue Buffon, 75005, Paris, France.
New Phytol. 2012 Nov;196(3):945-954. doi: 10.1111/j.1469-8137.2012.04312.x. Epub 2012 Sep 18.
Symmetry is an important feature of floral structure, and floral symmetries are diverse and often complex. We use a new morphometric approach for analysing shapes with complex types of symmetry, which partitions shape variation into a component of symmetric variation and different components of asymmetry. This approach, based on the mathematical theory of symmetry groups, can be used for landmark configurations with any type of symmetry and is therefore promising as a general framework for morphometric analyses of floral symmetry and asymmetry. We demonstrate this approach by quantifying floral shape variation in a wild population of Erysimum mediohispanicum (Brassicaceae). Flowers of this species are disymmetric, so that the symmetry in the left-right and adaxial-abaxial directions can be considered separately and in combination. Both principal component analysis and Procrustes ANOVA indicate that symmetric variation accounts for most of the total variance and that adaxial-abaxial asymmetry is the dominant component of fluctuating asymmetry. Each component is associated with specific patterns of shape variation. These results illustrate the potential of the new method and suggest new areas for future research. The new morphometric approach is promising for further analyses of floral symmetry and asymmetry in evolutionary and developmental contexts.
对称性是花部结构的一个重要特征,花部的对称性多样且复杂。我们使用一种新的形态测量方法来分析具有复杂对称性类型的形状,这种方法将形状变化分为对称变化分量和不同的非对称变化分量。这种基于对称群数学理论的方法可用于任何类型对称性的标志点配置,因此有望成为花部对称性和非对称性形态测量分析的通用框架。我们通过量化中西班牙岩芥(十字花科)野生种群的花部形状变化来验证该方法。该物种的花是不对称的,因此可以分别和组合考虑左右方向和近轴-远轴方向的对称性。主成分分析和 Procrustes ANOVA 都表明,对称变化占总方差的大部分,而近轴-远轴的非对称是波动非对称的主要组成部分。每个分量都与特定的形状变化模式相关。这些结果说明了新方法的潜力,并为未来的研究提出了新的方向。新的形态测量方法有望在进化和发育背景下进一步分析花部的对称性和非对称性。