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	<Article> 

	<Journal> 

	<PublisherName>International Science Community Association</PublisherName>

	<JournalTitle>International Research Journal of Biological Sciences</JournalTitle> 

	<Issn>2278 - 3202</Issn>

	<Volume>6</Volume>

	<Issue>6</Issue>

	<PubDate PubStatus="ppublish"> 

	<Year>2017</Year> 

	<Month>06</Month> 

	<Day>10</Day> 

	</PubDate>

	</Journal>



	<ArticleTitle>The fractal dimension study of butterfly wing pattern</ArticleTitle> 


	<FirstPage>37</FirstPage>

	<LastPage>40</LastPage>



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	<Language>EN</Language> 
	<AuthorList>

	
		<Author> 

		<FirstName>Raza</FirstName>

		<MiddleName> </MiddleName>

		<LastName>Shahid </LastName>

		<Suffix>1</Suffix>

		<Affiliation>Lahore Garrison University, Lahore Pakistan</Affiliation>

		</Author>
		<Author> 

		<FirstName>Shoaib</FirstName>

		<MiddleName> </MiddleName>

		<LastName>Muhammad Waseem </LastName>

		<Suffix>2</Suffix>

		<Affiliation>District Head Quarter Hospital (DHQ), Faisalabad, Pakistan</Affiliation>

		</Author>
		<Author> 

		<FirstName>Mubeen </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Hira </LastName>

		<Suffix>3</Suffix>

		<Affiliation>Lahore Garrison University, Lahore Pakistan</Affiliation>

		</Author>
		<Author> 

		<FirstName>Sofia </FirstName>

		<MiddleName> </MiddleName>

		<LastName>S.</LastName>

		<Suffix>1</Suffix>

		<Affiliation>Dept. of Botany, St. Teresa’s College, Ernakulam-682011, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Merlee  </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Teresa M.V. </LastName>

		<Suffix>2</Suffix>

		<Affiliation>Dept. of Botany, St. Teresa’s College, Ernakulam-682011, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Pinkie </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Cherian </LastName>

		<Suffix>1</Suffix>

		<Affiliation>Department of Botany, St.Teresa’s College, Ernakulam, Kerala-682011, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Sheela </FirstName>

		<MiddleName> </MiddleName>

		<LastName>D. </LastName>

		<Suffix>2</Suffix>

		<Affiliation>Department of Botany, St.Teresa’s College, Ernakulam, Kerala-682011, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Durga  </FirstName>

		<MiddleName> </MiddleName>

		<LastName>K.V.</LastName>

		<Suffix>3</Suffix>

		<Affiliation>Department of Botany, St.Teresa’s College, Ernakulam, Kerala-682011, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>K.V.</FirstName>

		<MiddleName> </MiddleName>

		<LastName>Durga </LastName>

		<Suffix>1</Suffix>

		<Affiliation>1Department of Botany, St. Teresa’s College EKM, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>D. </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Sheela </LastName>

		<Suffix>2</Suffix>

		<Affiliation>1Department of Botany, St. Teresa’s College EKM, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Nair </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Neethi C. </LastName>

		<Suffix>3</Suffix>

		<Affiliation>1Department of Botany, St. Teresa’s College EKM, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Nair</FirstName>

		<MiddleName> </MiddleName>

		<LastName>Neethi C. </LastName>

		<Suffix>1</Suffix>

		<Affiliation>Department of Botany, St. Teresas College, Ernakulam, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Sheela</FirstName>

		<MiddleName> </MiddleName>

		<LastName>D. </LastName>

		<Suffix>2</Suffix>

		<Affiliation>Department of Botany, St. Teresas College, Ernakulam, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Cherian </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Pinkie </LastName>

		<Suffix>3</Suffix>

		<Affiliation>Department of Botany, St. Teresas College, Ernakulam, Kerala, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Viththalanai</FirstName>

		<MiddleName> </MiddleName>

		<LastName>Khushbu H. </LastName>

		<Suffix>1</Suffix>

		<Affiliation>Department of Biosciences, Saurashtra University Rajkot 360 005, Gujarat, India</Affiliation>

		</Author>
		<Author> 

		<FirstName>Soni </FirstName>

		<MiddleName> </MiddleName>

		<LastName>Vinod C. </LastName>

		<Suffix>2</Suffix>

		<Affiliation>Department of Biosciences, Saurashtra University Rajkot 360 005, Gujarat, India</Affiliation>

		</Author>

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	<CollectiveName></CollectiveName>>

	</Author>

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	<PublicationType>Research Paper</PublicationType>


	<History>  
	<PubDate PubStatus="received">
	<Year>2017</Year>
	<Month>4</Month>
	<Day>26</Day>
	</PubDate>
	<PubDate PubStatus="accepted">										
	<Year>2017</Year> 
	<Month>06</Month>									
	<Day>10</Day> 
	</PubDate>

	</History>
	<Abstract>The geometrical complexity in the wing pattern of the butterfly species of different taxa was analyzed for their fractal dimension, using mathematical models in Matlab. Fractals are geometrical figures which repeat themselves at progressively smaller scale and exhibit more complex structure at larger scale. The analysis was restricted to a small number of butterfly species of Saurashtra region, Gujrat, India. The analysis of FD value of wing pattern was conducted between species of each genus, within sub-families and among families of Lepidoptera. Preliminary results provide some evidence for the similarity of the FD value of the wing pattern. Among five families, Nymphalidae and Pieridae were found to have the same mean value for the FD of their wing pattern, in spite of their taxonomical difference. It was also found that within each family, the sub-families showed a significant variation in the mean FD value (one way ANOVA, p < 0.05). It was observed that different species in the same genus exhibit significant variation for the mean FD value (unpaired t-test, p < 0.05, one way ANOVA). The study thus exhibits that taxonomically diverse species may hold similar FD values and the determining factors for these results need to be investigated.</Abstract>

	<CopyrightInformation>Copyright@ International Science Community Association</CopyrightInformation>

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