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Probabilistic Properties of a Curve Number:A Case Study for Small Polish and Slovak Carpathian Basins

Journal of Mountain Science 2015年第3期12卷 533-548页

作者： Agnieszka RUTKOWSKA Silvia KOHNOVá Kazimierz BANASIK Ján SZOLGAY Beata KARABOVá Department of Applied Mathematics University of AgricultureBalicka Department of Land and Water Resources Management Faculty of Civil EngineeringSlovak University of Technology Department of River Engineering Sedimentation LabWarsaw University of Life Sciences-SGGW

The proper determination of the curve number （CN） in the SCS-CN method reduces errors in predicting runoff volume. In this paper the variability of CN was studied for 5 Slovak and S Polish Carpathian catchments. Empirical curve numbers were applied to the distribution fitting. Next, theoretical characteristics of CN were estimated. For loo-CN the Generalized Extreme Value （GEV） distribution was identified as the best fit in most of the catchments. An assessment of the differences between the characteristics estimated from theoretical distributions and the tabulated values of CN was performed. The comparison between the antecedent runoff conditions （ARC） of Hawkins and Hjelmfelt was also completed. The analysis was done for various magnitudes of rainfall. Confidence intervals （CI） were helpful in this evaluation. The studies revealed discordances between the tabulated and estimated CNs. The tabulated CNs were usually lower than estimated values; therefore, an application of the median value and the probabilistic ARC of Hjelmfelt for wet runoff conditions is advisable. For dry conditions the ARC of Hjelmfelt usually better estimated CN than ARC of Hawkins did, but in several catchments neither the ARC of Hawkins nor Hjelmfelt sufficiently depicted the variability in CN.

关键词： Curve number theoretical distribution Antecedent runoff eonditions

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A Rank-Sum Testing Method for Multi-Trait Comprehensive Ranking and Its Application

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Agricultural Sciences in China 2010年第8期9卷 1117-1126页

作者： LUO Ru-jiu HU Zhi-qiu KONG Wen-qian SONG Wen XU Chen-wu Jiangsu Provincial Key Laboratory of Crop Genetics and Physiology/Key Laboratory of Plant Functional Genomics Ministry of Education/ Yangzhou University Yangzhou 225009 P.R. China Lianyungang Technical College Lianyungang 222006 P.R.China

The rank-sum test is a nonparametric method used in variety evaluation. However, the hypothesis testing of the method hasn＇t been established for multi-trait comprehensive ranking. In this paper, under null hypothesis H0： the variety＇s ranking on each trait is random, the theoretical distribution of sum of ranks （SR） was firstly derived and further used to obtain the critical values for multi-trait comprehensive evaluation in rank-sum testing. A new C＋＋ class and its basic arithmetic were defined to deal with the miscount caused by the precision limitation of built-in data type in common statistical software under large number of varieties and traits. Finally, an application of the theoretical results was demonstrated using five starch viscosity traits of 12 glutinous maize varieties. The proposed method is so simple and convenient that it can be easily used to rank different varieties by multiple traits.

关键词： comprehensive evaluation sum of ranks theoretical distribution critical value

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Nonextensivity and Tsallis Entropy in DNA Fragmentation Patterns by Ionizing Radiation

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Journal of Modern Physics 2012年第6期3卷 431-437页

作者： Carlos Antonio Marante Valdes Fidel Antonio Castro Smirnov Oscar Rodriguez Hoyos Joao Dias de Toledo Arruda-Neto Centro de Estudios Avanzados de Cuba(CEAC) HavanaCuba Universidad de las Ciencias Informaticas(UCI) HavanaCuba Instituto Superior de Tecnologias y Ciencias Aplicadas(InSTEC) HavanaCuba Physics Institute University of Sao PauloSao PauloBrasil CEPESq/Uniitalo—Italy-Brazilian University Center Sao PauloBrazil

Nonextensive statistical mechanics as in Tsallis formalism was used in this study, along with the dynamical Hamiltonian rod-like DNA model and the maximum entropy criteria for Tsallis’ entropy, so as to obtain length distribution of plasmid fragments, after irradiation with very high doses, assuming that the system reaches metaequilibrium. By intensively working out the Grand Canonical Ensemble (used to take into account the variation of the number of base pairs) a simplified expression for Fragment Size distribution Function (FSDF) was obtained. This expression is dependent on two parameters only, the Tsallis q value and the minimal length of the fragments. Results obtained from fittings to available experimental data were adequate and the characteristic behavior of the shortest fragments was clearly documented and reproduced by the model, a circumstance never verified from theoretical distributions. The results point to the existence of an entropy which characterizes fragmentation processes and depending only on the q entropic index.

关键词： Nonextensive Statistics Tsallis Entropy DNA Fragment distribution theoretical distribution Fragment Minimum Length DNA Data Analysis

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