Year 2021, Volume 4 , Issue 1, Pages 74 - 100 2021-01-30

Türk Kentlerinin Fraktalite ve Lakunaritesi
Fractality and Lacunarity of Turkish Cities

Ceyda İLHAN [1] , Necmi GÜRSAKAL [2]


Bu makalede ilk defa, Türkiye'deki tüm şehirlerin fraktal boyutları ve lakunarite katsayıları açık kaynaklı bir yazılım olan ImageJ ve FracLac eklentisi kullanılarak hesaplanmıştır. Bu iki değere göre, 81 Türk kentinin 10 kümede gruplandığı görülmüştür. Normal dağılımından dolayı lakunarite katsayılarının dağılımı ki-kare uyum iyiliği testini geçerken; iki modlu bir dağılımda olduğu için fraktal boyutların dağılımı bu testi geçememiştir. Elde edilen sonuçlardan, fraktal boyut ile lakunarite arasında zayıf, negatif, anlamlı (% 5 anlamlılık düzeyinde) bir korelasyon olduğu anlaşılmıştır; fraktal boyut ile nüfus arasında zayıf, pozitif anlamlı (% 1 anlamlılık düzeyinde) bir ilişki; ayrıca fraktal boyut ile il bazında kişi başına gayri safi yurtiçi hasıla arasında orta düzeyde, pozitif anlamlı (% 1 anlamlılık düzeyinde) bir ilişki bulunmuştur. Lakunarite ve nüfus arasında anlamlı bir ilişki bulunamamıştır. “Genellikle büyük şehirlerin birbirine benzediği” belirtilmiş olsa da; fraktal boyutlar ve lakunarite katsayıları kullanılarak çok değişkenli bağlamda Türkiye şehirlerinin benzerliklerini incelediğimizde küçük şehirlerin daha benzer olduğu görülmüştür.
For the first time in this article, fractal dimensions and lacunarity coefficients of all the cities in Turkey are calculated using an open-source software ImageJ and a plugin FracLac. According to these values, 81 Turkish cities are grouped into 10 clusters. While the distribution of the lacunarity coefficients pass the goodness of fit test for the normal distribution; the distribution of fractal dimensions did not pass this test, since it is a two-moded distribution. From the results obtained, we understand that there is a weak, negative, significant (5% significance level) correlation between fractal dimension and lacunarity; a weak, positive significant (1% significance level) relationship between fractal dimension and population; and also there is a moderate, positive significant (1% significance level) relation between fractal dimension and gross domestic product per capita by provinces. No significant relationship was found between lacunarity and population. Although it has been stated that, “in the mean, the larger cities are alike”, when we examine the similarities of Turkish cities in multivariate context using fractal dimensions and lacunarity coefficients, small cities were found to be more alike.

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Primary Language en
Subjects Architecture
Journal Section Research Articles
Authors

Orcid: 0000-0002-5016-296X
Author: Ceyda İLHAN (Primary Author)
Institution: BURSA ULUDAĞ ÜNİVERSİTESİ
Country: Turkey


Orcid: 0000-0002-7909-3734
Author: Necmi GÜRSAKAL
Institution: FENERBAHÇE ÜNİVERSİTESİ
Country: Turkey


Dates

Publication Date : January 30, 2021

Bibtex @research article { grid823235, journal = {GRID - Architecture Planning and Design Journal}, issn = {}, eissn = {2619-9556}, address = {Çankaya Üniversitesi Mimarlık Fakültesi, Balgat Kampüsü, Öğretmenler Caddesi, No: 14, 06530 Balgat/ANKARA/TÜRKİYE}, publisher = {Cankaya University}, year = {2021}, volume = {4}, pages = {74 - 100}, doi = {10.37246/grid.823235}, title = {Fractality and Lacunarity of Turkish Cities}, key = {cite}, author = {İlhan, Ceyda and Gürsakal, Necmi} }
APA İlhan, C , Gürsakal, N . (2021). Fractality and Lacunarity of Turkish Cities . GRID - Architecture Planning and Design Journal , 4 (1) , 74-100 . DOI: 10.37246/grid.823235
MLA İlhan, C , Gürsakal, N . "Fractality and Lacunarity of Turkish Cities" . GRID - Architecture Planning and Design Journal 4 (2021 ): 74-100 <https://dergipark.org.tr/en/pub/grid/issue/60130/823235>
Chicago İlhan, C , Gürsakal, N . "Fractality and Lacunarity of Turkish Cities". GRID - Architecture Planning and Design Journal 4 (2021 ): 74-100
RIS TY - JOUR T1 - Fractality and Lacunarity of Turkish Cities AU - Ceyda İlhan , Necmi Gürsakal Y1 - 2021 PY - 2021 N1 - doi: 10.37246/grid.823235 DO - 10.37246/grid.823235 T2 - GRID - Architecture Planning and Design Journal JF - Journal JO - JOR SP - 74 EP - 100 VL - 4 IS - 1 SN - -2619-9556 M3 - doi: 10.37246/grid.823235 UR - https://doi.org/10.37246/grid.823235 Y2 - 2021 ER -
EndNote %0 GRID - Mimarlık Planlama ve Tasarım Dergisi Fractality and Lacunarity of Turkish Cities %A Ceyda İlhan , Necmi Gürsakal %T Fractality and Lacunarity of Turkish Cities %D 2021 %J GRID - Architecture Planning and Design Journal %P -2619-9556 %V 4 %N 1 %R doi: 10.37246/grid.823235 %U 10.37246/grid.823235
ISNAD İlhan, Ceyda , Gürsakal, Necmi . "Fractality and Lacunarity of Turkish Cities". GRID - Architecture Planning and Design Journal 4 / 1 (January 2021): 74-100 . https://doi.org/10.37246/grid.823235
AMA İlhan C , Gürsakal N . Fractality and Lacunarity of Turkish Cities. GRID. 2021; 4(1): 74-100.
Vancouver İlhan C , Gürsakal N . Fractality and Lacunarity of Turkish Cities. GRID - Architecture Planning and Design Journal. 2021; 4(1): 74-100.
IEEE C. İlhan and N. Gürsakal , "Fractality and Lacunarity of Turkish Cities", GRID - Architecture Planning and Design Journal, vol. 4, no. 1, pp. 74-100, Jan. 2021, doi:10.37246/grid.823235