3种方法对中肋骨条藻Logistic生长模型拟合的比较研究
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摘要
为探索高效准确的Logistic生长模型拟合方法,对中肋骨条藻在不同浓度二价镉[Cd(Ⅱ)]胁迫下的Logistic生长曲线,分别用Excel、Origin和Matlab 3种软件进行拟合。结果表明,拟合后的R2大小顺序为Matlab>Origin> Excel;采用Excel非线性拟合中的四点法拟合效果优于三点法。提示Matlab(用Levenberg-Marquardt算法进行非线性化多次迭代)是3种软件中对Logistic生长曲线拟合的最优方法。
引文
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[13]范国兵.一种估计Logistic模型参数的方法及应用实例[J].经济数学,2010,27(1):105-110.
[14]梁玉麟,赵建东.基于logistic方程的供应商-采购商合作关系的经济模型研究[J].鲁东大学学报(自然科学版),2015,31(3):200-204,213.
[2]Pearl R,Reed L J.The Logistic Curve and the Census Count of 1930[J].Science,1930,72(1868):399-401.
[3]Fisk P R.The Graduation of income distributions[J].Econometrica,1961,29(2):171-185.
[4]Anderson J A.Sepatate sample Logistic discrimination[J].Biometrika,1972,59:19-35.
[5]王福林,王吉权.生长曲线参数估计的一种新方法---优化回归组合法[J].生物数学学报,2007,22(3):533-538.
[6]陈冬,程维虎.利用样本分位数的Logistic总体分布参数的近似最佳线性无偏估计[J].应用数学学报,2005,28(2):325-332.
[7]许小勇,钟太勇.三次样条插值函数的构造与Matlab实现[J].兵工自动化,2006,25(11):76-78.
[8]Zhang L J,Song Z J,Pan X D,et al.Comparison of v-support vector regression and Logistic equation for descriptive modeling of Lactobacillus plantarum growth[J].African Journal of Biotechnology,2011,10(32):6162-6171.
[9]栾红艳,赵卫红,苗辉.Cd2+胁迫下中肋骨条藻细胞内多胺的生理响应[J].中国环境科学,2015,35(5):1487-1494.
[10]Torres E,Mera R,Herrero C,et al.Isotherm studies for the determination of Cd(Ⅱ)ions removal capacity in living biomass of a microalga with high tolerance to cadmium toxicity[J].Environmental Science&Pollution Research,2014,21(22):12616-12628.
[11]殷祚云.Logistic曲线拟合方法研究[J].数理统计与管理,2002,1(21):41-46.
[12]胡文冉,范玲,田晓莉,等.Excel在Logistic曲线拟合中的应用[J].农业网络信息,2013(3):14-16.
[13]范国兵.一种估计Logistic模型参数的方法及应用实例[J].经济数学,2010,27(1):105-110.
[14]梁玉麟,赵建东.基于logistic方程的供应商-采购商合作关系的经济模型研究[J].鲁东大学学报(自然科学版),2015,31(3):200-204,213.