A note on simulating null distributions for G matrix comparisons

Genetic variances and covariances, summarized in G matrices, are key determinants of the course of adaptive evolution. Consequently, understanding how G matrices vary among populations is critical to answering a variety of questions in evolutionary biology. A method has recently been proposed for generating null distributions of statistics pertaining to differences in G matrices among populations. The general approach facilitated by this method is likely to prove to be very important in studies of the evolution of G . We have identified an issue in the method that will cause it to create null distributions of differences in G matrices that are likely to be far too narrow. The issue arises from the fact that the method as currently used generates null distributions of statistics pertaining to differences in G matrices across populations by simulating breeding value vectors based on G matrices estimated from data, randomizing these vectors across populations, and then calculating null values of statistics from G matrices that are calculated directly from the variances and covariances among randomized vectors. This calculation treats breeding values as quantities that are directly measurable, instead of predicted from G matrices that are themselves estimated from patterns of covariance among kin. The existing method thus neglects a major source of uncertainty in G matrices, which renders it anti‐conservative. We first suggest a correction to the method. We then apply the original and modified methods to a very simple instructive scenario. Finally, we demonstrate the use of both methods in the analysis of a real data set.     

Hemicellulose fractions and associated protein of lupin hypocotyl cell walls

The alkali extraction of polysaccharide fractions from depectinated primary cell walls of lupin hypocotyls was studied using sequential extractions at 0° and 18–22°. Aqueous 10% KOH at 0° removed hemicellulose-A (95%) heteroglycan-B (80%) and linear 1–4 linked hemicellulose-B (60%). Arabinose accounts for 88% of the monosaccharides of the linear 1–4 linked hemicellulose-B extracted between 2 and 5 h at 18–22°. Extraction of the 0° and 18–22° alkali-soluble fractions by denaturants, was also examined. 6M guanidine thiocyanate removed about 60% of the 0° 10% KOH soluble polysaccharide but little of the 18–22° soluble material. Although rapidly extracted by 10% KOH at 0° the hemicellulose-A is not extracted by this reagent. Analyses of cell walls and extracted fractions showed that there is little change in amino acid composition and little extraction of wall protein upon removal of about 60% of total wall hemicellulose with 10% KOH at 0°. It is therefore not bound to the wall through galactosylserine links. 10% KOH at 18–22° caused a marked change in composition and extracted most of the wall protein. An alkali resistant fraction high in hydroxyproline and low in serine was not extracted by 24% KOH at 18–22° in 24 hr.     

Cell wall hydroxyproline-polysaccharide associations in Lupinus hypocotyls

Extraction of lupin hypocotyl cell walls with guanidine thiocynate, both before and after dilute acid treatment does not dissolve the hydroxyproline indicating that compounds containing this amino acid are probably covalently linked to insoluble wall constituents other than through acid labile arabinofuranose-hydroxyproline links. Dilute alkali does extract all of the wall hydroxyproline largely as non-dialysable material. Sequential extraction of cell walls with alkali at two temperatures (2° and 22–25°) removes most of the hemicellulose at the lower temperature but only dissolves the hydroxyproline at the higher temperature. Other studies show that the hydroxyproline containing polymer is co-precipitated with hemicellulose-B arabino-xylan. When cell walls from elongating and non-elongating hypocotyl sections are compared using this sequential extraction, the hemicellulose-B arabino-xylan containing hydroxyproline from the non-elongating wall has a much higher proportion of arabinoseand galactose than the same polymer from the elongating wall. Much more of the hydroxyproline from the elongating wall is dialysable. These results indicate more bonding of the hydroxyproline-containing glycoprotein within the wall of non-elongating tissue consistent with its suggested role in stopping cell elongation. It is suggested that the glycoprotein is linked to insoluble wall constituents such as cellulose through galactose or by direct protein to cellulose links.     

Are landscape attributes a useful shortcut for classifying vegetation in the tropics? A case study of La Amistad International Park

Effective vegetation classification schemes identify the processes determining species assemblages and support the management of protected areas. They can also provide a framework for ecological research. In the tropics, elevation‐based classifications dominate over alternatives such as river catchments. Given the existence of floristic data for many localities, we ask how useful floristic data are for developing classification schemes in species‐rich tropical landscapes and whether floristic data provide support for classification by river catchment. We analyzed the distribution of vascular plant species within 141 plots across an elevation gradient of 130 to 3200 m asl within La Amistad National Park. We tested the hypothesis that river catchment, combined with elevation, explains much of the variation in species composition. We found that annual mean temperature, elevation, and river catchment variables best explained the variation within local species communities. However, only plots in high‐elevation oak forest and Páramo were distinct from those in low‐ and mid‐elevation zones. Beta diversity did not significantly differ in plots grouped by elevation zones, except for low‐elevation forest, although it did differ between river catchments. None of the analyses identified discrete vegetation assemblages within mid‐elevation (700–2600 m asl) plots. Our analysis supports the hypothesis that river catchment can be an alternative means for classifying tropical forest assemblages in conservation settings.     

Relaxation of herbivore‐mediated selection drives the evolution of genetic covariances between plant competitive and defense traits

Insect herbivores are important mediators of selection on traits that impact plant defense against herbivory and competitive ability. Although recent experiments demonstrate a central role for herbivory in driving rapid evolution of defense and competition‐mediating traits, whether and how herbivory shapes heritable variation in these traits remains poorly understood. Here, we evaluate the structure and evolutionary stability of the G matrix for plant metabolites that are involved in defense and allelopathy in the tall goldenrod, Solidago altissima. We show that G has evolutionarily diverged between experimentally replicated populations that evolved in the presence versus the absence of ambient herbivory, providing direct evidence for the evolution of G by natural selection. Specifically, evolution in an herbivore‐free habitat altered the orientation of G , revealing a negative genetic covariation between defense‐ and competition‐related metabolites that is typically masked in herbivore‐exposed populations. Our results may be explained by predictions of classical quantitative genetic theory, as well as the theory of acquisition‐allocation trade‐offs. The study provides compelling evidence that herbivory drives the evolution of plant genetic architecture.