Given a regular compact set E in , a unit measure μ supported by , a triangular point set , and a function f , holomorphic on E , let πβ,fn,m be the associated multipoint β-Padé approximant of order (n,m) . W...Given a regular compact set E in , a unit measure μ supported by , a triangular point set , and a function f , holomorphic on E , let πβ,fn,m be the associated multipoint β-Padé approximant of order (n,m) . We show that if the sequence πβ,fn,m , n∈Λ , ∧∈n,k are uniformly distributed on with respect to u as n∈Λ . Furthermore, a result about the behavior of the zeros of the exact maximally convergent sequence Λ is provided, under the condition that Λ is “dense enough”.展开更多
Plant functional trait reflects plant growth and resource utilization strategy.Quantitative analysis of variation in plant traits will help us to better understand their environmental adaptation strategies,which is he...Plant functional trait reflects plant growth and resource utilization strategy.Quantitative analysis of variation in plant traits will help us to better understand their environmental adaptation strategies,which is helpful to guide the sustainable utilization with proper theoretical framework and practical implications.Leaf-height-seed(LHS)scheme is to quantify the strategy of plants by the location of three easily measurable functional traits which are specific leaf area(SLA),plant height,and seed mass in threedimensional space.We applied this scheme to paired Meconopsis species to assess the variation of lifehistory traits over elevational gradients in the southeastern margin of Qinghai-Tibet Plateau,identify the environmental factors that shape these traits and compare the intraspecific correlations of LHS traits with elevation to the interspecific patterns that have been previously documented.We measured LHS traits of 3~6 M.punicea and M.integrifolia populations.Furthermore,we analyzed the impact of environmental factors on LHS traits by regression models.The results showed that both species displayed a significant decrease with increasing elevation for plant height and only the SLA of M.punicea decreased significantly with increasing elevation,while the elevation had no significant effect on seed mass.Moreover,only SLA and plant height for M.punicea in Kaka Mountain,SLA of cauline leaf and plant height for M.integrifolia in Gonggangling Mountain were significantly correlated.Along the elevational gradient,these two species adopted the LHS strategies varied to some extent.M.punicea tended to adopt strategies of slow growth,strong survivability and competitiveness(S-L-L),while M.integrifolia tended to have strategies of rapid growth,strong dispersal and weak competitiveness(L-S-S)within our study elevational range.The most important environmental factor for their trait variation is the growing season mean temperature.Variations in LHS traits of a single species suggested that plant strategy determined by the position within this three-factor triangle is not constant along the elevational gradient.Additionally,our within-species analysis generally failed to support the correlations between LHS traits and elevation that had been previously observed across species.展开更多
文摘Given a regular compact set E in , a unit measure μ supported by , a triangular point set , and a function f , holomorphic on E , let πβ,fn,m be the associated multipoint β-Padé approximant of order (n,m) . We show that if the sequence πβ,fn,m , n∈Λ , ∧∈n,k are uniformly distributed on with respect to u as n∈Λ . Furthermore, a result about the behavior of the zeros of the exact maximally convergent sequence Λ is provided, under the condition that Λ is “dense enough”.
基金funded by the National Natural Science Foundation of China(31971436)State Key Laboratory of Cryospheric Science,Northwest Institute of Eco-Environment and Resources,Chinese Academy Sciences(SKLCS-OP-2021-06)CAS“Light of West China”Program(2021XBZG_XBQNXZ_A_007)。
文摘Plant functional trait reflects plant growth and resource utilization strategy.Quantitative analysis of variation in plant traits will help us to better understand their environmental adaptation strategies,which is helpful to guide the sustainable utilization with proper theoretical framework and practical implications.Leaf-height-seed(LHS)scheme is to quantify the strategy of plants by the location of three easily measurable functional traits which are specific leaf area(SLA),plant height,and seed mass in threedimensional space.We applied this scheme to paired Meconopsis species to assess the variation of lifehistory traits over elevational gradients in the southeastern margin of Qinghai-Tibet Plateau,identify the environmental factors that shape these traits and compare the intraspecific correlations of LHS traits with elevation to the interspecific patterns that have been previously documented.We measured LHS traits of 3~6 M.punicea and M.integrifolia populations.Furthermore,we analyzed the impact of environmental factors on LHS traits by regression models.The results showed that both species displayed a significant decrease with increasing elevation for plant height and only the SLA of M.punicea decreased significantly with increasing elevation,while the elevation had no significant effect on seed mass.Moreover,only SLA and plant height for M.punicea in Kaka Mountain,SLA of cauline leaf and plant height for M.integrifolia in Gonggangling Mountain were significantly correlated.Along the elevational gradient,these two species adopted the LHS strategies varied to some extent.M.punicea tended to adopt strategies of slow growth,strong survivability and competitiveness(S-L-L),while M.integrifolia tended to have strategies of rapid growth,strong dispersal and weak competitiveness(L-S-S)within our study elevational range.The most important environmental factor for their trait variation is the growing season mean temperature.Variations in LHS traits of a single species suggested that plant strategy determined by the position within this three-factor triangle is not constant along the elevational gradient.Additionally,our within-species analysis generally failed to support the correlations between LHS traits and elevation that had been previously observed across species.
