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An application of a combined gradient system to stabilize a mechanical system 被引量:1
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作者 陈向炜 张晔 梅凤翔 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第10期10-12,共3页
A gradient system and a skew-gradient system can be merged into a combined gradient system. The differential equations of the combined gradient system are established and its property is studied. If a mechanical syste... A gradient system and a skew-gradient system can be merged into a combined gradient system. The differential equations of the combined gradient system are established and its property is studied. If a mechanical system can be represented as a combined gradient system, the stability of the mechanical system can be studied by using the property of the combined gradient system. Some examples are given to illustrate the applications of the results. 展开更多
关键词 gradient system combined gradient system mechanical system STABILITY
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Gradient systems and mechanical systems 被引量:3
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作者 Fengxiang Mei Huibin Wu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第5期935-940,共6页
All types of gradient systems and their properties are discussed. Two problems connected with gradient systems and mechanical systems are studied. One is the direct problem of transforming a mechanical system into a g... All types of gradient systems and their properties are discussed. Two problems connected with gradient systems and mechanical systems are studied. One is the direct problem of transforming a mechanical system into a gradient system, and the other is the inverse problem, which is transforming a gradient system into a mechanical system. 展开更多
关键词 gradient system Mechanical system STABILITY
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Definition of the Seismic Field of the Underground Sources in the Ambient Seismic Noise in the Tien Shan Region Using a Three-Component Gradient System 被引量:2
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作者 Anatoly Kuzmich Rybin Elena Anatol'evna Bataleva +3 位作者 Kseniia Sergeevna Nepeina Pavel Alexandrovich Kaznacheev Pavel Alexandrovich Matiukov Pavel Nikolaevich Aleksandrov 《Journal of Earth Science》 SCIE CAS CSCD 2020年第5期988-992,共5页
This paper considers a new approach to solving the problem of quantitative estimation of the microseism energy for underground sources that is based on the synthesis of noise interferometry and the passive seismic met... This paper considers a new approach to solving the problem of quantitative estimation of the microseism energy for underground sources that is based on the synthesis of noise interferometry and the passive seismic method of the gradient system. The selection of a seismic field of the underground sources is considered in an experiment conducted in the Tien Shan region. The peculiarities of approach include the separation of vertical microseisms in the ambient seismic noise field structure according to the data of the seismic gradient system and a passive noise interferometry diagram, where microseisms from the underground sources are used as the seismic signal source. It is shown that the use of noise interferometry and passive seismic gradient system allows using the synchronous microseism recordings in a small number of points for passive medium sensing, and leads to the restoration of unknown energy parameters of the seismic field of underground sources. 展开更多
关键词 gradient system passive seismic Tien Shan GEODYNAMICS
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EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR GRADIENT SYSTEMS IN FINITE DIMENSIONAL SPACES
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作者 Sahbi BOUSSANDEL 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期233-243,共11页
This paper deals with an abstract periodic gradient system in which the gradient is taken with respect to a variable metric. We obtain an existence and uniqueness result via the application of a global inverse theorem.
关键词 existence and uniqueness periodic solutions gradient systems global inversetheorem
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EXISTENCE OF SOLUTIONS FOR GRADIENT SYSTEMS WITH APPLICATION TO DIFFUSION PROBLEMS INVOLVING NONCONVEX ENERGIES
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作者 Sahbi BOUSSANDEL 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1767-1778,共12页
In this paper, we establish the existence of solutions for gradient systems ofevolution under some type (M) and semi-coerciveness conditions. The main result is appliedin order to solve nonlinear diffusion equations... In this paper, we establish the existence of solutions for gradient systems ofevolution under some type (M) and semi-coerciveness conditions. The main result is appliedin order to solve nonlinear diffusion equations involving nonconvex energies. 展开更多
关键词 gradient systems existence of solutions Galerkin method type (M) condition semi-coerciveness diffusion equations
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Riemann problem of a Chapman-Jouguet combustion model for pressure-gradient system 被引量:1
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作者 丛翠 赖耕 盛万成 《Journal of Shanghai University(English Edition)》 CAS 2010年第3期206-210,共5页
In this paper,the Riemann problem of a Chapman-Jouguet combustion model for the pressure-gradient equations is considered.By analyzing in phase space,existence and uniqueness of the solution to the Riemann problem are... In this paper,the Riemann problem of a Chapman-Jouguet combustion model for the pressure-gradient equations is considered.By analyzing in phase space,existence and uniqueness of the solution to the Riemann problem are obtained constructively under the global entropy conditions. 展开更多
关键词 Riemann problem pressure gradient COMBUSTION DETONATION DEFLAGRATION ignition temperature
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Trends in alpha diversity,community composition,and network complexity of rare,intermediate,and abundant bacterial taxa along a latitudinal gradient and their impact on ecosystem multifunctionality 被引量:1
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作者 Rong Tang Shuaifeng Li +3 位作者 Xiaobo Huang Rui Zhang Cong Li Jianrong Su 《Forest Ecosystems》 2025年第4期642-654,共13页
Soil microbial communities are key factors in maintaining ecosystem multifunctionality(EMF).However,the distribution patterns of bacterial diversity and how the different bacterial taxa and their diversity dimensions ... Soil microbial communities are key factors in maintaining ecosystem multifunctionality(EMF).However,the distribution patterns of bacterial diversity and how the different bacterial taxa and their diversity dimensions affect EMF remain largely unknown.Here,we investigated variation in three measures of diversity(alpha diversity,community composition and network complexity)among rare,intermediate,and abundant taxa across a latitudinal gradient spanning five forest plots in Yunnan Province,China and examined their contributions on EMF.We aimed to characterize the diversity distributions of bacterial groups across latitudes and to assess the differences in the mechanisms underlying their contributions to EMF.We found that multifaceted diversity(i.e.,diversity assessed by the three different metrics)of rare,intermediate,and abundant bacteria generally decreased with increasing latitude.More importantly,we found that rare bacterial taxa tended to be more diverse,but they contributed less to EMF than intermediate or abundant bacteria.Among the three dimensions of diversity we assessed,only community composition significantly affected EMF across all locations,while alpha diversity had a negative effect,and network complexity showed no significant impact.Our study further emphasizes the importance of intermediate and abundant bacterial taxa as well as community composition to EMF and provides a theoretical basis for investigating the mechanisms by which belowground microorganisms drive EMF along a latitudinal gradient. 展开更多
关键词 BACTERIA Ecosystem multifunctionality Alpha diversity Community composition Network complexity Latitudinal gradient
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Stiffness gradient sensitivity analysis method for evaluating the vibration reduction effect of complex variable-stiffness systems
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作者 Xingchi CAO Xin FANG Dianlong YU 《Applied Mathematics and Mechanics(English Edition)》 2025年第11期2055-2074,共20页
An analytical method is proposed with the “stiffness gradient of the response” as a sensitivity metric, and the relationships between the vibration responses and stiffness changes are established. First, a 2-degree-... An analytical method is proposed with the “stiffness gradient of the response” as a sensitivity metric, and the relationships between the vibration responses and stiffness changes are established. First, a 2-degree-of-freedom (DOF) system is used as an example to propose a stiffness gradient-based evaluation method, taking the effective control bandwidth ratio as a metric of effectiveness. The results show that there is an optimal mass ratio in both variable mass and variable stiffness cases. Then, a typical 16-DOF system is used to investigate the frequency domain characteristics of the stiffness gradient values in the complex system. The distributions of stiffness gradient values show multiple peak intervals corresponding to the sensitive regions for vibration control. By assigning random mass parameters, a significant exponential decay relationship between the subsystem’s mass and effective control is identified, emphasizing the importance of the optimal mass ratio. The finite-element simulation results of solid plate models with springs and oscillators further validate the theoretical results. In short, the gradient value of stiffness effectively quantifies the effects of subsystems on vibration control, providing an analytical tool for active control in complex systems. The identified exponential decay relationship offers meaningful guidance for implementation strategies. 展开更多
关键词 stiffness gradient sensitivity optimal mass stiffness regulation vibration reduction
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Agricultural land use transition under multidimensional topographical gradients and its impact on ecosystem service interactions
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作者 Sinan Li Junwei Pu Xiaodong Deng 《Journal of Integrative Agriculture》 2025年第8期3222-3241,共20页
Changes in agricultural land use affect ecosystem services and their interactions.However,the differential influences of agricultural land use transitions under different topographical gradients on ecosystem service i... Changes in agricultural land use affect ecosystem services and their interactions.However,the differential influences of agricultural land use transitions under different topographical gradients on ecosystem service interactions remain poorly understood,which limits the integrated management of agricultural systems.The objectives of this study were to analyze the transitional trends of major agricultural land types across distinct topographical gradients and to probe the differential impacts of these transitions on ecosystem service interactions.Using Hangzhou of China as the study area,the analysis focused on four major agricultural land use types(arable land,orchard,tea garden,and abandoned land).The GTWR model was applied to investigate spatiotemporal non-stationarity in the impacts of their transitions on the ecosystem service trade-offs and synergies.The results showed that during 2010–2020,the agricultural land use pattern in plain areas became more diversified and fragmented,while it shifted towards greater homogeneity and contiguity in hilly and mountainous areas.Between 2010–2015 and 2015–2020,the dominant output type of agricultural land use transition was arable land.The dominant input type in plain areas shifted from arable land to orchard,whereas in hilly and mountainous areas,it was orchard and tea garden.The higher synergy between habitat quality and other ecosystem services primarily occurred in plain areas.Over time,the higher synergy between carbon sequestration and soil retention predominantly shifted from mountainous areas to plain areas.A variety of abandoned types across different topographical gradients fostered synergies by reducing the supply capacity of various ecosystem services.Trade-offs between ecosystem services in hilly and mountainous areas could be alleviated by converting arable land into orchard and tea garden.These findings highlight the importance of adopting differentiated,dynamic,and systematic measures for agricultural spatial development in implementing ecosystem management across different topographical gradients. 展开更多
关键词 land change pattern ecosystem service trade-off/synergy sustainable agricultural system spatiotemporal non-stationarity gradient difference
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Illusion Optics via Phase-Gradient Metasurfaces
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作者 haoyao Pan Jinpeng Yang Yadong Xu 《Chinese Physics Letters》 2026年第1期31-36,共6页
Optical phase-gradient metasurfaces have garnered significant attention for enabling flexible light manipulation,with applications across diverse domains.In this work,we will demonstrate that the metasurfaces with pha... Optical phase-gradient metasurfaces have garnered significant attention for enabling flexible light manipulation,with applications across diverse domains.In this work,we will demonstrate that the metasurfaces with phase gradient modulation can be used to achieve illusion optics,featuring the advantages of simple geometric structure and feasible implementation compared with the well-known transformation optics method.The underlying mechanism is the anomalous diffraction law caused by the phase gradient,which provides a theoretical basis for freely manipulating the propagation path of light.By considering a specific example,we will demonstrate that the phase gradient can transform spatial coordinates in real space into illusion space,thereby converting a plane in real space into a curved surface structure in illusion space to achieve the illusion effect.This approach provides a viable alternative to transformation optics for designing illusion devices. 展开更多
关键词 transformation optics anomalous diffraction law illusion opticsfeaturing flexible light manipulationwith illusion optics anomalous diffraction phase gradient modulation phase gradient metasurfaces
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Mechanisms driving anammox bacteria enrichment in constructed wetlands for self-purification of high-nitrogen polluted wastewater:Environmental gradients and microbial interactions
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作者 Lin Liu Jie Li +2 位作者 Yu Xin Quan-Bao Zhao Yu-Ming Zheng 《Journal of Environmental Sciences》 2026年第1期44-53,共10页
Anammox bacteria in constructed wetlands(CWs)play pivotal role in sustainable nitrogen transformation,yet existing studies lack comprehensive analysis of environmental gradients and microbial interactions,both key fac... Anammox bacteria in constructed wetlands(CWs)play pivotal role in sustainable nitrogen transformation,yet existing studies lack comprehensive analysis of environmental gradients and microbial interactions,both key factors in anammox bacteria enrichment.This study investigated the mechanisms driving anammox bacteria enrichment in lab-scale simulated CWs treating high-nitrogen wastewater,focusing on bacterial community re-sponses across wetland layers with various strategies,including continuous up-flow influent,nitrogen loading increase,effluent recirculation,intermittent influent,and anammox bacteria inoculation.Results showed that total relative and absolute abundances of anammox bacteria ranged from 0.77%to 12.50%and from 0.13 to 6.46×10^(7) copies/g,respectively.Dissolved oxygen and pH had significant positive correlations with the absolute abundance of anammox bacteria,while organic matter and nitrate negatively impacted their relative abundance.Permutational multivariate analysis of variance indicated that spatial heterogeneity explained more variation in anammox bacteria abundance(43.44%)compared to operational strategies(8.58%).In terms of microbial interactions,60 dominant species exhibited potential correlations with anammox bacteria,comprising 170 interactions(105 positive and 65 negative),which suggested that anammox bacteria generally foster cooperative relationships with dominant bacteria.Notably,significant interspecies interactions were observed between Candidatus Kuenenia(dominant anammox bacteria in CWs)and species within the genera Chitinivibrio-nia and Anaerolineaceae,suggesting that microbial interactions primarily manifest as indirect facilitative effects rather than direct mutualistic relationships.Given that the Normalized Stochasticity Ratio in CWs were<50%,this study inferred that environmental gradients have greater influence on anammox bacteria than microbial interactions. 展开更多
关键词 Self-purifying capacity Anammox bacteria Environmental gradient Constructed wetland Co-occurrence network Nature-based solution
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Scalable and Healable Gradient Textiles for Multi‑Scenario Radiative Cooling via Bicomponent Blow Spinning
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作者 Baiyu Ji Yufeng Wang +6 位作者 Ying Liu Yongxu Zhao Fankun Xu Jian Huang Yue‑EMiao Chao Zhang Tianxi Liu 《Nano-Micro Letters》 2026年第3期338-353,共16页
Radiative cooling textiles with spectrally selective surfaces offer a promising energy-efficient approach for sub-ambient cooling of outdoor objects and individuals.However,the spectrally selective mid-infrared emissi... Radiative cooling textiles with spectrally selective surfaces offer a promising energy-efficient approach for sub-ambient cooling of outdoor objects and individuals.However,the spectrally selective mid-infrared emission of these textiles significantly hinders their efficient radiative heat exchange with self-heated objects,thereby posing a significant challenge to their versatile cooling applicability.Herein,we present a bicomponent blow spinning strategy for the production of scalable,ultra-flexible,and healable textiles featuring a tailored dual gradient in both chemical composition and fiber diameter.The gradient in the fiber diameter of this textile introduces a hierarchically porous structure across the sunlight incident area,thereby achieving a competitive solar reflectivity of 98.7%on its outer surface.Additionally,the gradient in the chemical composition of this textile contributes to the formation of Janus infrared-absorbing surfaces:The outer surface demonstrates a high mid-infrared emission,whereas the inner surface shows a broad infrared absorptivity,facilitating radiative heat exchange with underlying self-heated objects.Consequently,this textile demonstrates multi-scenario radiative cooling capabilities,enabling versatile outdoor cooling for unheated objects by 7.8℃ and self-heated objects by 13.6℃,compared to commercial sunshade fabrics. 展开更多
关键词 gradient cooling textile Bicomponent blow spinning Janus spectral selectivity Radiative heat exchange Multi-scenario radiative cooling
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Growth Rate of a-Si∶H Film Influenced by Magnetic Field Gradient in MWECR CVD Plasma System 被引量:2
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作者 胡跃辉 吴越颖 +3 位作者 陈光华 王青 张文理 阴生毅 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2004年第6期613-619,共7页
The magnetic field profiles,which are produced by three ways in the deposition chamber and plasma chamber of single coil divergent field MWECR CVD system,are investigated.The magnetic field gradient of these magnetic ... The magnetic field profiles,which are produced by three ways in the deposition chamber and plasma chamber of single coil divergent field MWECR CVD system,are investigated.The magnetic field gradient of these magnetic field profiles is obtained quantitatively by using Lorentz fit.The results indicate that the gradient value of the magnetic field profile near by the substrate,which is produced by a coil current with 137.7A if a SmCo permanent magnet is equipped under the substrate holder,is the largest;when the SmCo permanent magnet is taken away,the larger one is produced by the coil current with 137.7A and the smallest one produced by a coil current with 115.2A.High deposition rate of a-Si∶H film is observed near by the substrate with high magnetic field gradient.But uneven deposition rate along the radius of the sample holder is also found by infrared analysis technology when sample is deposited in magnetic field profile,which is produced by the coil current with 137.7A if the SmCo permanent magnet is equipped under the substrate holder. 展开更多
关键词 magnetic field gradient Lorentz fit a-Si∶H film deposition rate MWECR CVD deposition system
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Two kinds of generalized gradient representations for holonomic mechanical systems 被引量:5
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作者 梅凤翔 吴惠彬 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第1期653-656,共4页
Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized g... Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results. 展开更多
关键词 holonomic mechanical system generalized gradient system Lyapunov function stability
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Skew-gradient representation of generalized Birkhoffian system 被引量:7
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作者 梅凤翔 吴惠彬 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第10期312-314,共3页
The skew-gradient representation of a generalized Birkhoffian system is studied. A condition under which the generalized Birkhoffian system can be considered as a skew-gradient system is obtained. The properties of th... The skew-gradient representation of a generalized Birkhoffian system is studied. A condition under which the generalized Birkhoffian system can be considered as a skew-gradient system is obtained. The properties of the skew-gradient system are used to study the properties, especially the stability, of the generalized Birkhoffian system. Some examples are given to illustrate the application of the result. 展开更多
关键词 generalized Birkhoffian system skew-gradient system Lyapunov function STABILITY
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Combined Gradient Representations for Generalized Birkhoffian Systems in Event Space and Its Stability Analysis 被引量:2
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作者 WANG Jiahang BAO Siyuan 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第6期967-974,共8页
The combined gradient representations for generalized Birkhoffian systems in event space are studied.Firstly,the definitions of six kinds of combined gradient systems and corresponding differential equations are given... The combined gradient representations for generalized Birkhoffian systems in event space are studied.Firstly,the definitions of six kinds of combined gradient systems and corresponding differential equations are given.Secondly,the conditions under which generalized Birkhoffian systems become combined gradient systems are obtained. Finally,the characteristics of combined gradient systems are used to study the stability of generalized Birkhoffian systems in event space. Seven examples are given to illustrate the results. 展开更多
关键词 generalized Birkhoffian system event space combined gradient systems stability
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Skew-gradient representations of constrained mechanical systems 被引量:2
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作者 Fengxiang MEI Jinchao CUI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第7期873-882,共10页
The characteristics of stationary and non-stationary skew-gradient systems are studied. The skew-gradient representations of holonomic systems, Birkhoffian systems, generalized Birkhoffian systems, and generalized Ham... The characteristics of stationary and non-stationary skew-gradient systems are studied. The skew-gradient representations of holonomic systems, Birkhoffian systems, generalized Birkhoffian systems, and generalized Hamiltonian systems are given. The characteristics of skew-gradient systems are used to study integration and stability of the solution of constrained mechanical systems. Examples are given to illustrate applications of the result. 展开更多
关键词 constrained mechanical system skew-gradient system integration stability
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Gradientization of Herglotz-Type Equations and Stability of Their Solutions
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作者 ZHANG Yi 《Wuhan University Journal of Natural Sciences》 2025年第5期490-496,共7页
The stability of solutions of Herglotz-type equations for non-conservative systems is studied by converting them into gradient systems.Firstly,Herglotz-type equations for non-conservative systems are given and express... The stability of solutions of Herglotz-type equations for non-conservative systems is studied by converting them into gradient systems.Firstly,Herglotz-type equations for non-conservative systems are given and expressed in contravariant algebraic form.Secondly,four kinds of basic gradient systems are introduced.Thirdly,the conditions for transforming Herglotz-type equations of non-conservative systems into basic gradient systems are given.Then the solution of Herglotz-type equations and its equilibrium stability are analyzed.Fi-nally,four examples are presented to illustrate the calculation process in detail for each case.The results show that the gradient method is effective. 展开更多
关键词 non-conservative system Herglotz-type equation gradient system equilibrium stability
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Diversity patterns and phylogenetic structure of vascular plants along elevational gradients in a mountain ecosystem, South Korea 被引量:8
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作者 CHUN Jung-Hwa LEE Chang-Bae 《Journal of Mountain Science》 SCIE CSCD 2018年第2期280-295,共16页
Recently, a phylogenetic diversity and community structure analysis as complementary to species-centric approaches in biodiversity studies provides new insights into the processes of community assembly. In this study,... Recently, a phylogenetic diversity and community structure analysis as complementary to species-centric approaches in biodiversity studies provides new insights into the processes of community assembly. In this study, we analyzed species and phylogenetic diversity and community structures for woody and herbaceous plants along two elevational transects on Mt. Baekhwa, South Korea. The species richness and phylogenetic diversity of woody plants showed monotonic declining patterns with increasing elevation along all transects, whereas herbaceous plants showed different patterns, such as no relationship and a reversed unimodal pattern, between the study transects. The main drivers of these patterns were climate and habitat variables for woody and herbaceous plants, respectively. In addition, the phylogenetic community structure primarily showed phylogenetic clustering regulated by deterministic processes, especially environmental filtering, such as climate or habitat factors, along the two transects, although herbaceous plants along a transect depicted phylogenetic randomness as a result of a neutral process. Our findings suggest that deterministic and neutral processes may simultaneously control the community structures along small-scale elevational gradients such as local transects, although the deterministic process may be the predominant type. 展开更多
关键词 Community structure Deterministicprocess Elevational gradient Neutral process Phylogenetic diversity Species richness
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Gradients in predation risk in a tropical river system 被引量:4
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作者 Amy E. DEACON Faith A. M. JONES Anne E. MAGURRAN 《Current Zoology》 SCIE CAS CSCD 2018年第2期213-221,共9页
The importance of predation risk as a key driver of evolutionary change is exemplified by the Northern Range in Trinidad, where research on guppies living in multiple parallel streams has pro- vided invaluable insight... The importance of predation risk as a key driver of evolutionary change is exemplified by the Northern Range in Trinidad, where research on guppies living in multiple parallel streams has pro- vided invaluable insights into the process of evolution by natural selection. Although Trinidadian guppies are now a textbook example of evolution in action, studies have generally categorized predation as a dichotomous variable, representing high or low risk. Yet, ecologists appreciate that community structure and the attendant predation risk vary substantially over space and time. Here, we use data from a longitudinal study of fish assemblages at 16 different sites in the Northern Range to quantify temporal and spatial variation in predation risk. Specifically we ask: 1) Is there evidence for a gradient in predation risk? 2) Does the ranking of sites (by risk) change with the defi- nition of the predator community (in terms of species composition and abundance currency), and 3) Are site rankings consistent over time? We find compelling evidence that sites lie along a contin- uum of risk. However, site rankings along this gradient depend on how predation is quantified in terms of the species considered to be predators and the abundance currency is used. Nonetheless, for a given categorization and currency, rankings are relatively consistent over time. Our study sug- gests that consideration of predation gradients will lead to a more nuanced understanding of the role of predation risk in behavioral and evolutionary ecology. It also emphasizes the need to justify and report the definition of predation risk being used. 展开更多
关键词 abundance currency gradients Poecilia reticulata predation risk TRINIDAD Trinidadian guppy.
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