Comparison of skewness coefficient,coefficient of variation,and Gini coefficient as inequality measures within populations

Summary The moment skewness coefficient, coefficient of variation and Gini coefficient are contrasted as statistical measures of inequality among members of plant populations. Constructed examples, real data examples, and distributional considerations are used to illustrate pertinent properties of these statistics to assess inequality. All three statistics possess some undesirable properties but these properties are shown to be often unimportant with real data. If the underlying distribution of the variable follows the often assumed two-parameter lognormal model, it is shown that all three statistics are likely to be highly and positively correlated. In contrast, for distributions which are not two-parameter lognormally distributed, and when the distribution is not concentrated near zero, the coefficient of variation and Gini coefficient, which are sensitive to small shifts in the mean, are often of little practical use in ordering the equality of populations. The coefficent of variation is more sensitive to individuals in the right-hand tail of a distribution than is the Gini coefficient. Therefore, the coefficient of variation may often be recommended over the Gini coefficient if a measure of relative precision is selected to assess inequality. The skewness coeficient is suggested when the distribution is either three-parameter lognormally distributed (or close to such), or when a measure of relative precision is not indicated.Scientific Paper no 7830. College of Agriculture and Home Economics Research Center, Washington State University     

Local Adaptation and Effects of Grazing among Seedlings of Two Native California Bunchgrass Species: Implications for Restoration

Adaptation to environmental factors may influence the germination and establishment of focal species in ecological restoration. Reciprocal transplants remain one of the best methods to detect local adaptation, but long‐term studies are often not feasible. We conducted reciprocal transplants of the native California bunchgrasses Elymus glaucus and Bromus carinatus between two central California locations to seek evidence of adaptation to local environmental conditions in a single growing season. Experimental plots at one location included grazed and ungrazed sites. The combination of locations and grazing treatments allowed us to determine whether the ability to detect evidence for adaptation depended on grazing regime. In addition, we measured the direct effects of grazing on seedling growth and survival concurrent with our investigation of local adaptation. We detected a homesite advantage for seedling growth or survival in both species, but the factors contributing to adaptive differentiation were species specific. Evidence of local adaptation was detected for seedling biomass in Bromus and for survivorship in Elymus. The homesite advantage observed in both species was greatly reduced under grazed conditions and in Elymus was significant only in the ungrazed plots. Climate and soil analyses detected significant differences between locations in five soil attributes and two climate variables. In particular, differences in exchangeable magnesium indicated that one of the two transplant locations consisted of serpentine soil, which is widely known to drive adaptation in plant populations. Together, these results suggest that it is possible to investigate the scale and factors involved in local adaptation with short‐term transplant studies.     

Nontarget effects of the herbicide tebuthiuron on mycorrhizal fungi in sagebrush semidesert

The effects of the herbicide tebuthiuron (0.36, 0.6, and 1.01 kg/ha in pellet form) on nontarget organisms, vesicular-arbuscular mycorrhizal fungi, were observed in sagebrush semidesert in central Utah. Only the highest level of tebuthiuron application showed any significant effects on mycorrhizal fungi compared to the untreated control. The introduced annual Bromus tectorum L. had both a reduced percent mycorrhizal root infection and reduced spore density in its rhizosphere with the highest herbicide level. The herbicide did not significantly affect mycorrhizal root infection of Sitanion hystrix, a short-lived perennial grass, at any level of application. There was no significant effect of any level of tebuthiuron on germination of mycorrhizal spores collected 6 months after herbicide application.Published with the approval of the Director, Utah Agricultural Experiment Station, as Journal Paper No. 3777     

Arbuscular mycorrhizal fungi as support systems for seedling establishment in grassland

Recruitment of new seedlings into the vegetation is essential for maintaining species rich plant communities. Hence it is of pivotal importance to understand factors determining seedling recruitment. Here it is tested whether arbuscular mycorrhizal fungi (AMF) promote seedling recruitment in perennial grassland communities. Seeds of four plant species (two grasses and two forbs) were added to patches within 1‐year old grassland microcosms that were inoculated with different AMF taxa or to control microcosms that were not inoculated. The seedlings grew larger and obtained more phosphorus when AMF were present. Moreover, the seedlings obtained different amounts of phosphorus in microcosms inoculated with different AMF taxa. The results indicate that AMF promote seedling establishment by integrating emerging seedlings into extensive hyphal networks and by supplying nutrients to the seedlings. AMF, thus, act as a symbiotic support system that promotes seedling establishment and reduces recruitment limitation in grassland.