关于一个新的增长模型,即Korkmaz模型与一些增长模型的比较

M. Korkmaz
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摘要

对于增长模型,除了一些经典的增长模型外,我推导了一个新的模型。在这项研究中,我用这个表达式推导了一个新的模型:“增长模型一般呈s型。在这个形状中有一个拐点。在这个拐点之前,图形是凸的也就是在这个拐点之前,增长率是递增的。在这个感染点,生长速度达到最大值。在这个拐点之后,图表是凹的,也就是说在这个拐点之后,增长率在下降。”增长模型一般是利用这种情况的最后一部分推导出来的。增长模型通常是用这个表达式推导出来的:“当时间太大或接近无穷大时,增长率趋于零”。在介绍了这个新的模型,即Korkmaz模型之后,我应用了两组数据。除了Korkmaz模型外,我还使用了Logistic、Brody、Gompertz和Von Bertalanffy等增长模型。用误差平方和标准对它们进行比较。根据这一标准,可以看出,所使用的模型中没有一个具有每个数据集的最小误差平方和。也就是说,当一个模型是一个数据集的最佳模型时,该模型不可能是另一个数据集的最佳模型。实际上,虽然Korkmaz模型在误差平方和标准下并不是两组数据的最佳模型,但Korkmaz模型是本研究中最好的模型之一。因此,在对生长数据的研究中,建议使用生长模型的研究人员在经典生长模型的基础上使用Korkmaz模型。
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On a new growth model namely Korkmaz model compared with Some Growth Models
For growth models, in addition to some classical growth models, I derived a new model.  In this study, I derived a new model by using this expression: “Growth models has generally sigmoidal shape. In this shape there is one inflection point. Until this inflection point the graph is convex that’s until this inflection point the growth rate is increasing. At this infection point the growth rate reaches maximum value. After this inflection point the graph is concave that’s after this inflection point the growth rate is decreasing.” Growth models were generally derived by using the last part of this situation. That’s Growth models were generally derived by using this expression: “Growth rate goes to zero when the time is too large or approaches infinity”. After introducing this new model, namely Korkmaz model, I applied two sets of data. In addition to Korkmaz model, I used growth models such as Logistic, Brody, Gompertz, and Von Bertalanffy. They are compared by using error sum of squares criteria. According to this criteria, it was seen that none of the models used has minimum error sum of squares for each data set. That’s while one model is the best model for one data set, that model could not be the best model for the other data set. Actually, Although Korkmaz model is not the best model for two sets of data by using error sum of squares criteria, Korkmaz model is one of the best models in this study. For that reason, use of Korkmaz model in addition to classical growth models in their studies on growth data was suggested to the researchers using growth models in their studies.
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