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ARPN Journal of Science and Technology >> Volume 7, Issue 2, November 2017

ARPN Journal of Science and Technology


Spline Interpolations besides Widely used Growth Models for the Fork Length, Weight and Fork Length-Weight Relationships of Capoeta Capoeta Angorae Hanko 1924 from the Upper Water Systems of the River Ceyhan, Turkey

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Author Mehmet Korkmaz, Cemil Kara
ISSN 2225-7217
On Pages 334-344
Volume No. 4
Issue No. 6
Issue Date July 01, 2014
Publishing Date July 01, 2014
Keywords Capoeta capoeta angorae Hanko, Spline Interpolations, Logistic model, Gompertz model



Abstract

In this study, the fork length (FL), weight (W) growth and the fork length-weight relationships of Capoeta capoeta angorae Hanko 1924 from the upper water systems of the River Ceyhan, Turkey were investigated. For this purpose, for growth curves of the fork length and weight, spline interpolation functions, alternative modeling passing to exactly all data points with respect to widely used models such as logistic and Gompertz models, applied to growth data set were be submitted and then for the fork length-weight relationships, spline interpolation functions with respect to the described model w=m(FL)n applied to fork length-weight data set were be submitted. These interpolation functions and growth models used were examined separately for female and male. These interpolation models used are linear spline, quadratic spline and cubic spline functions. The growth curves of the fork length and the weight of spline interpolation functions with widely used logistic and Gompertz models were shown on the same graph, respectively and then the curves of the fork length-weight relationships of spline interpolation functions and the models, w=m(FL)n , were shown on the same graph. Thus, the differences in these models have been observed. The estimates for some intermediate values were done by using spline interpolations, logistic and Gompertz models. By using spline interpolations, the investigator is shown to obtain new ideas and interpretations in addition to the information of the well-known classical analysis.


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