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TESTING SPHERICITY IN A GMANOVA-MANOVA MODEL WITH NORMAL ERROR

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Acta Mathematica Scientia 2008年第3期28卷 639-650页

作者：白鹏石磊 Statistics and Mathematics College Yunnan University of Finance and Economics

This article presents a statistic for testing the sphericity in a GMANOVA- MANOVA model with normal error. It is shown that the null distribution of this statistic is beta and its nonnull distribution is given in seri... 详细信息

关键词： GMANOVA-MANOVA model sphericity test zonal polynomial

Asymmetric interaction will facilitate the evolution of cooperation

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Science china(Life Sciences) 2010年第8期53卷 1041-1046页

作者： WANG RuiWu1, HE JunZhou1,2, WANG YaQiang1,2, SHI Lei1,3 & LI YaoTang1,2 1 State Key Laboratory of Genetic Resources and Evolution, kunming Institute of Zoology, Chinese Academy of Science, kunming 650223, china 2 School of Mathematics and Statistics, yunnan university, kunming 650091, china 3 Statistics and Mathematics College, yunnan university of finance and economics, kunming 6502.1, china 1. State Key Laboratory of Genetic Resources and Evolution Kunming Institute of Zoology Chinese Academy of Science Kunming 650223 China2. School of Mathematics and Statistics Yunnan University Kunming 650091 China3. Statistics and Mathematics College Yunnan University of Finance and Economics Kunming 650221 China

Explaining the evolution of cooperation remains one of the greatest problems for both biology and social science. The classical theories of cooperation suggest that cooperation equilibrium or evolutionary stable strategy between partners can be maintained through genetic similarity or reciprocity relatedness. These classical theories are based on an assumption that partners interact symmetrically with equal payoffs in a game of cooperation interaction. However, the payoff between partners is usually not equal and therefore they often interact asymmetrically in real cooperative systems. With the Hawk–Dove model, we find that the probability of cooperation between cooperative partners will depend closely on the payoff ratio. The higher the payoff ratio between recipients and cooperative actors, the greater will be the probability of cooperation interaction between involved partners. The greatest probability of conflict between cooperative partners will occur when the payoff between partners is equal. The results show that this asymmetric relationship is one of the key dynamics of the evolution of cooperation, and that pure cooperation strategy (i.e., Nash equilibrium) does not exist in asymmetrical cooperation systems, which well explains the direct conflict observed in almost all of the well documented cooperation systems. The model developed here shows that the cost-to-benefit ratio of cooperation is also negatively correlated with the probability of cooperation interaction. A smaller cost-to-benefit ratio of cooperation might be created by the limited dispersal ability or exit cost of the partners involved, and it will make the punishment of the non-cooperative individuals by the recipient more credible, and therefore make it more possible to maintain stable cooperation interaction.

关键词： Hawk–Dove game evolutionarily stable strategy asymmetric cooperation mixed strategy Nash equilibrium

Method for Evaluating the Degrees of Land Use Sustainability of Mountainous County and its Application in yunnan Province,china

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Journal of Mountain Science 2008年第2期5卷 98-112页

作者： YANG Zisheng LIU Yansui TAO Wenxing XU Jingling ZHAO Qiaogui Institute of Land ＆ Resources and Sustainable Development Yunnan University of Finance and Economics Kunming 650221 China Institu te of Geographic Sciences and Natural Resources Research Chinese Academy of Science Beijing 100101 China Department of Land ＆ Resources of yunnan Province Kunming 650224 China

The evaluation of sustainable land use is the key issue in the field of studying the sustainable land utilization. In general analysis, the sustainable land use is evaluated respectively from its ecological sustainability, economic sustainability and social sustainability in china and other countries in recent years. Although this evaluation is an important work, it seems insufficient and hard to comprehensively reflect the whole degree of land use sustainability. Thus, to make up this deficiency, this paper brings forward the evaluation indexes, which make it possible to quantitatively reflect the whole degree of land use sustainability, namely, the concept of ＂degrees of overall land use sustainability＂（Dos）, and research and measurement development of the method of and calculation in Dos. Taking the evaluation of the degree of land use sustainability in county regions of yunnan Province as the actual example for analysis, results are basically as follows： 1） The degree of land use sustainability （Dos） is the ration index to organically and systematically integrate the degree of ecological friendliness （DeF）, the degree of economic viability （Dev） and the degree of social acceptability （Dsa）, able to comprehensively reflect the whole sustainability degree of regional land use 2） Based on the value of Dos, the grading system and standard for the sustainability of land use may be established and totally divided into five grades, namely, the high-degree sustainability, middle-degree sustainability, low-degree sustainability, conditional sustainability and non-sustainability. Meanwhile, the standard for distinguishing sustainability grades has also been confirmed so as to determine the nature of sustainability degrees in different grades. This makes the possibility for the combination of nature determination with ration in research result and provides with the scientific guideline and decision-making gist for better implementation of sustainable land use strategy

关键词： Land use degrees of overall sustainability evaluation method county level degrees of ecological friendliness degrees of economic viability degrees of social acceptability

Soil Erosion Control Degree of the Project of Converting Farmland to Forest in Mountainous Areas at china's Southwest Border:A Case Study in Mangshi,yunnan Province

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Journal of Mountain Science 2011年第6期8卷 845-854页

作者： YANG Zisheng HAN Huali ZHAO Qiaogui Institute of Land ＆ Resources and Sustainable Development Yunnan University of Finance and Economics Kunming 650221 China Southwest university Chongqing 400715 China Department of Land ＆ Resources of yunnan Province Kunming 650224 China

There have been few in-depth quantitative studies on soil erosion control and the ecological effects of land use changes. Soil erosion is the first eco-environmental problem particularly in mountainous areas. A major problem in the conversion of farmland to forest is to control soil erosion and improve ecological environment and thus to improve land use sustainability. We report results of calculation and analysis on soil erosion from converted farmland parcels in city of Mangshi （near the SW frontier of china） and the surrounding areas before and after the nine-year （2000-2009） project of converting farmland to forest. There was increased water conservation effect, as a result of decreased soil erosion. The average erosion modulus of the farmland returning to eco-friendly uses decreased by 5,535.59 t/km2·a and the control degree of soil erosion modulus reached 71.00%. The increased soil erosion after the returning in the typical sample area ＂did not drop, but increased＂ as the terraced fields decreased but sloping farmland inereased and yet woodland decreased.

关键词： Soil erosion Control degree The projectof converting farmland to forest Converted farmland

The evolution of cooperation in asymmetric systems

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Science china(Life Sciences) 2010年第1期53卷 139-149页

作者： WANG RuiWu1 & SHI Lei2 1 State Key Laboratory of Genetic Resources and Evolution,kunming Institute of Zoology,Chinese Academy of Science,kunming 650223,china 2 Statistics and Mathematics College,yunnan university of finance and economics,kunming 6502.1,china 1. State Key Laboratory of Genetic Resources and Evolution Kunming Institute of Zoology Chinese Academy of Science Kunming 650223 China2. Statistics and Mathematics College Yunnan University of Finance and Economics Kunming 650221 China

Explaining the "Tragedy of the Commons" of the evolution of cooperation remains one of the greatest problems for both biology and social *** interaction,which is one of the most important characteristics of cooperative systems,has not been sufficiently considered in the existing models of the evolution of *** the inequality in the number and payoff between the cooperative actors and recipients in cooperation systems,discriminative density-dependent interference competition will occur in limited dispersal *** model and simulation show that the local but not the global stability of a cooperative interaction can be maintained if the utilization of common resource remains unsaturated,which can be achieved by density-dependent restraint or competition among the cooperative *** intense density dependent interference competition among the cooperative actors and the ready availability of the common resource,with a higher intrinsic contribution ratio of a cooperative actor to the recipient,will increase the probability of *** cooperation between the recipient and the cooperative actors can be transformed into conflict and,it oscillates chaotically with variations of the affecting factors under different environmental or ecological *** higher initial relatedness(*** to kin or reciprocity relatedness),which is equivalent to intrinsic contribution ratio of a cooperative actor to the recipient,can be selected for by penalizing less cooperative or cheating actors but rewarding cooperative individuals in asymmetric *** initial relatedness is a pivot but not the aim of evolution of *** explains well the direct conflict observed in almost all cooperative systems.

关键词： cooperation altruism density dependent tragedy of the commons oscillation chaos asymmetric interaction interference competition

Checking for normality in linear mixed models

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Science china Mathematics 2012年第4期55卷 787-804页

作者： WU Ping 1,,ZHU LiXing 2,3 & FANG Yun 4 1 School of finance and Statistics,East china Normal university,Shanghai 200241,china 2 School of Statistics and Mathematics,yunnan university of finance and economics,yunnan 6502.1,china 3 The Department of Mathematics,Hong Kong Baptist university,Hong Kong 999077,china 4 Mathematics and Science College,Shanghai Normal university,Shanghai 200234,china 1. School of finance and Statistics East China Normal University Shanghai 200241 China2. School of Statistics and Mathematics Yunnan University of Finance and Economics Yunnan 650221 China3. The Department of Mathematics Hong Kong Baptist University Hong Kong 999077 China4. Mathematics and Science College Shanghai Normal University Shanghai 200234 China

Linear mixed models are popularly used to fit continuous longitudinal data, and the random effects are commonly assumed to have normal distribution. However, this assumption needs to be tested so that further analysis can be proceeded well. In this paper, we consider the Baringhaus-Henze-Epps-Pulley （BHEP） tests, which are based on an empirical characteristic function. Differing from their case, we consider the normality checking for the random effects which are unobservable and the test should be based on their predictors. The test is consistent against global alternatives, and is sensitive to the local alternatives converging to the null at a certain rate arbitrarily close to 1/V~ where n is sample size. ^-hlrthermore, to overcome the problem that the limiting null distribution of the test is not tractable, we suggest a new method： use a conditional Monte Carlo test （CMCT） to approximate the null distribution, and then to simulate p-values. The test is compared with existing methods, the power is examined, and several examples are applied to illustrate the usefulness of our test in the analysis of longitudinal data.

关键词： linear mixed models estimated best linear unbiased predictors BHEP tests conditional MonteCarlo test

Soil Erosion and Its Basic Characteristics at Karst Rocky-desertified Land Consolidation Area: A Case Study at Muzhe Village of Xichou County in Southeast yunnan, china

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Journal of Mountain Science 2010年第1期7卷 55-72页

作者： YANG Zisheng YANG Longfei ZHANG Bosheng Institute of Land & Resources and Sustainable Development Yunnan University of Finance and Economics Kunming650221 China

Xichou County of Wenshan Zhuang and Miao Autonomous Prefecture in southeast yunnan is one of the karst mountainous areas in southwest china showing typical rock desertification. During this study, we set up three soil erosion contrast test spots at Muzhe Village, Benggu Township, Xichou County, which was the birthplace of the Xichou rock-desertified land consolidation mode. The three spots included the terrace land spot （already consolidated land）, sloping land spot （unconsolidated sloping land under rock desertification）, and standard runoff spot （bare land spot）. In 2007, a whole-year complete observation was conducted during the rainy season and ＂rainfall-erosion＂ data were obtained for 32 times. Our analysis showed that during the entire observation period, the number of the rainfalls that led to soil erosion accounted for 34.04% of the number of all rainfalls and the amount of the rainfalls that led to soil erosion accounted for 84.17% of the total amount of all rainfalls. The average erosive rainfall standard in the three test spots was 11.0mm, slightly higher than the lO mm standard that has been adopted all over china, but lower than the 12.7 mm standard of the US and the 13.0 mm standard of Japan. According to single-factor analysis, the soil loss in the sloping land spot （L2） and that in the bare land spot （L3） are correlated to certain extent to manyother factors, including the single precipitation （P）, rainfall intensity during the maximum ten minutes （Lo）, rainfall intensity during the maximum 20 minutes （I2o）, rainfall intensity during the maximum 30 minutes （I30）, rainfall intensity during the maximum 40 minutes （I4o）, and rainfall intensity during the maximum 6o minutes （I60）. Among these factors, they are of the highest relativity with I6o. According to double-factor analysis, both L2 and L3 are of good relativity with P and I60. According to multi-factor analysis, L2 and L3 are also of good relativity with seven rainfall indexes, namely, P, Ia （ave

关键词： karst mountainous area rockdesertification land consolidation soil erosion testspot Xichou County

Reengineering Model of Supply Chain of Tea Industry in yunnan

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厦门大学学报（自然科学版） 2002年第S1期41卷 230-231页

作者： LI Yan-feng 1, JIANG Fa-kui 2 (1. Management School, Huazhong university of Science and Technology, Wuhan 430074, china 2. Department of Business Administration, yunnan university of finance and economics, kunming 6502.1, china)

yunnan university of finance and Trade recording to t he statistics of chain’s output of tea, yunnan province has entered the ranks of the larger ones of the production in china. yunnan’s tea industry has the natur al resources and the economic effects envied, on the orther hand, yunnan’s tea m arket has gradually become less and the economic effects have been poor. Through our comprehensive investigation and study, we consider that because the supply chain has seriously been disjointed among production, supply and sale of tea ind ustry in yunnan, the supply chain of yunnan’s tea industry need to be reorganize d for the promoting the development of yunnan’s tea industry. The essence of reengineering of yunnan’s tea industrial supply chain is to set u p the model of the trailed operation,to strengthen the strategic partnership man agement between the supply chain, to optimize the design of the supply chain and build up and improve the working mechanism for management of the tea industrial supply chain. The structure of yunnan’s model of tea industrial supply chain: the model of com mercial flow; the model of logistics flow; the model of information flow and the model of cash flow. The solutions and policies for the reorganization of yunnan’s tea industrial sup ply chain: planning, logistics and distribution and sales. Set up the supporting system of information technology. Build up the control system of production and *** the working mechanism of yunnan’s tea industrial supply chain. Implement the engineering of exporting yunnan’s tea into the markets of other p rovinces and foreign markets. Have many the channels that raise the funds of dev elopment for yunnan’s tea industry.

关键词： yunnan tea industry reengineering supply chain building model

EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH DELAYS AND IMPULSES

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Annals of Differential Equations 2008年第2期24卷 197-207页

作者： Ren Yaping(School of Statistic and Math.,yunnan university of finance and economics,kunming 6502.1) Li Yongkun(Dept. of Math.,yunnan university,kunming 650091)

By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and constructing Lyapunov functionals,a set of easily verifiable sufficient conditions are derived for the existence and global attractiv... 详细信息

关键词： periodic solution impulsive equation coincidence degree theory glo-bal attractivity