Differences in leaf δ13C among four dominant species as well as the species-specific response to the fluctuations of either soil moisture or monthly mean temperature were examined along a secondary succession sere with a time scale from 3 to 149 y on the Loess Plateau in north-western China. We used leaf δ13C as a surrogate for water use efficiency (WUE) of the mentioned dominant species. Bothrichloa ischaemun as a dominant species in the final succession stage belongs to C4 photosynthesis pathway, while the other three dominant species occurring in the first three succession stages belong to C3 pathway. The overall trend of leaf δ13C variation among the three C3 species was Artemisia gmelinii (in the third stage) and Lespedeza davurica (in the second stage) > Artemisia scoparia (in the first stage). This suggests that species with higher WUE (more positive leaf δ13C) would have substantial competitive advantages in the context of vegetation succession. Furthermore, species with highest WUE (i.e. C4 pathway) have great potential to be dominant in the final succession stage in the habitats (such as the study area) undergoing strong water stress in growing season. The evolution of WUE among the dominant species occurring in different succession stages strongly depends on the time scale of given stage since abandonment. The longer the time scale is, the more significant the differences among them in terms of leaf δ13C, hence WUE. Our results support the notions that leaf δ13C may be more positive when water supply is less favourable.
The effect of Euphorbia scordifolia and Hordeum leporinum competition on leaf area development, radiant energy absorption, and dry matter production was evaluated in a field experiment. Profile measurements (0-0.3, 0.3-0.6, 0.6-0.9, and >0.9 m above ground) of absorbed photosynthetically active radiation (APAR) and leaf area index (LAI) by species were taken at four densities of E. scordifolia (0, 1, 4, and 12 plants per m2). APAR calculated for H. leporinum in mixed communities was 79, 77, and 49 % of the APAR in H. leporinum and LAI was reduced to 81, 65, and 37 %. LAI of H. leporinum was concentrated in the 0.3-0.6 m layer, while the taller E. scordifolia plants had the greatest LAI above 0.6 m. By absorbing radiant energy in the upper canopy, E. scordifolia reduced APAR penetrating to H. leporinum. Measurements of net photosynthetic and transpiration rates, leaf temperature, and stomatal conductance confirmed the importance of competition for PAR for plant growth and metabolism.
Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem., Ji-Cai Liu., and Seznam literatury