{"id":1524,"date":"2023-07-26T00:58:45","date_gmt":"2023-07-26T00:58:45","guid":{"rendered":"https:\/\/statorials.org\/tr\/bray-curtisin-farkliligi\/"},"modified":"2023-07-26T00:58:45","modified_gmt":"2023-07-26T00:58:45","slug":"bray-curtisin-farkliligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bray-curtisin-farkliligi\/","title":{"rendered":"Bray-curtis farkl\u0131l\u0131\u011f\u0131: tan\u0131m ve \u00f6rnekler"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Ad\u0131n\u0131 <a href=\"https:\/\/en.wikipedia.org\/wiki\/J._Roger_Bray\" target=\"_blank\" rel=\"noopener\">J. Roger Bray<\/a> ve <a href=\"https:\/\/en.wikipedia.org\/wiki\/John_Thomas_Curtis\" target=\"_blank\" rel=\"noopener\">John Thomas Curtis&#8217;ten<\/a> alan <strong>Bray-Curtis farkl\u0131l\u0131\u011f\u0131<\/strong> , iki farkl\u0131 b\u00f6lge aras\u0131ndaki farkl\u0131l\u0131\u011f\u0131 \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ekoloji ve biyolojide genellikle iki alan aras\u0131ndaki fark\u0131, bu alanlarda bulunan t\u00fcrler a\u00e7\u0131s\u0131ndan \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bray-Curtis farkl\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>BC <sub>ij<\/sub> = 1 \u2013 (2*C <sub>ij<\/sub> ) \/ (S <sub>i<\/sub> + S <sub>j<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>C <sub>ij<\/sub> :<\/strong> Her bir alanda bulunan t\u00fcrlere ait en d\u00fc\u015f\u00fck de\u011ferlerin toplam\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>S <sub>i<\/sub> :<\/strong> <em>i<\/em> sahas\u0131nda say\u0131lan toplam \u00f6rnek say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>S <sub>j<\/sub> :<\/strong> <em>j<\/em> noktas\u0131nda say\u0131lan toplam \u00f6rnek say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bray-Curtis farkl\u0131l\u0131\u011f\u0131 her zaman 0 ile 1 aras\u0131ndad\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> , iki sitenin hi\u00e7bir farkl\u0131l\u0131\u011f\u0131n\u0131n olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir. Ba\u015fka bir deyi\u015fle, her t\u00fcrden tam olarak ayn\u0131 say\u0131da t\u00fcr\u00fc payla\u015f\u0131yorlar.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1,<\/strong> iki sitenin tamamen farkl\u0131 oldu\u011funu g\u00f6sterir. Yani ayn\u0131 t\u00fcrden hi\u00e7bir t\u00fcr\u00fc payla\u015fmazlar.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, iki konum i\u00e7in Bray-Curtis farkl\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Bray-Curtis farkl\u0131l\u0131\u011f\u0131n\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir botanik\u00e7inin d\u0131\u015far\u0131 \u00e7\u0131k\u0131p iki farkl\u0131 b\u00f6lgedeki be\u015f farkl\u0131 bitki t\u00fcr\u00fcn\u00fcn (A, B, C, D ve E) say\u0131s\u0131n\u0131 sayd\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo toplad\u0131\u011f\u0131 verileri \u00f6zetlemektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15115 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bray_curtis.png\" alt=\"\" width=\"423\" height=\"121\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri kullanarak Bray-Curtis farkl\u0131l\u0131\u011f\u0131n\u0131 \u015fu \u015fekilde hesaplayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15116 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bray_curtis2.png\" alt=\"Bray-Curtis fark\u0131\" width=\"419\" height=\"226\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu say\u0131lar\u0131 Bray-Curtis farkl\u0131l\u0131k form\u00fcl\u00fcne entegre ederek \u015funu elde ederiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">BC <sub>ij<\/sub> = 1 \u2013 (2*C <sub>ij<\/sub> ) \/ (S <sub>i<\/sub> + S <sub>j<\/sub> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">BC <sub>ij<\/sub> = 1 \u2013 (2*15) \/ (21 + 24)<\/span><\/li>\n<li> <span style=\"color: #000000;\">BC <sub>ij<\/sub> = 0,33<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu iki b\u00f6lge aras\u0131ndaki Bray-Curtis farkl\u0131l\u0131\u011f\u0131 <strong>0,33&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bray-Curtis farkl\u0131l\u0131\u011f\u0131n\u0131n temel varsay\u0131m\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bray-Curtis farkl\u0131l\u0131\u011f\u0131 iki b\u00f6lgenin boyutlar\u0131n\u0131n e\u015fit oldu\u011funu varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00e7ok \u00f6nemli bir varsay\u0131md\u0131r, \u00e7\u00fcnk\u00fc e\u011fer bir alan di\u011ferinden d\u00f6rt kat daha b\u00fcy\u00fckse, do\u011fal olarak geni\u015f alanda k\u00fc\u00e7\u00fck alana g\u00f6re daha fazla t\u00fcre sahip olaca\u011f\u0131z, \u00e7\u00fcnk\u00fc kaplanacak alan \u00e7ok daha fazla.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu a\u00e7\u0131klamak i\u00e7in, botanik\u00e7inin veri toplad\u0131\u011f\u0131 alanlardan birinin di\u011ferinden d\u00f6rt kat daha b\u00fcy\u00fck oldu\u011funu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15118 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bray_curtis3.png\" alt=\"\" width=\"489\" height=\"196\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Alan 1&#8217;deki t\u00fcrlerin \u00e7ok daha y\u00fcksek s\u0131kl\u0131kta olmas\u0131n\u0131 bekleriz \u00e7\u00fcnk\u00fc buras\u0131 alan 2&#8217;den \u00e7ok daha b\u00fcy\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani Bray-Curtis farkl\u0131l\u0131\u011f\u0131n\u0131 hesaplad\u0131\u011f\u0131m\u0131zda olduk\u00e7a b\u00fcy\u00fck olacakt\u0131r. Ancak bu yan\u0131lt\u0131c\u0131 olabilir \u00e7\u00fcnk\u00fc iki site aras\u0131ndaki fark, bile\u015fimlerinde de\u011fil, boyutlar\u0131ndad\u0131r.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ad\u0131n\u0131 J. Roger Bray ve John Thomas Curtis&#8217;ten alan Bray-Curtis farkl\u0131l\u0131\u011f\u0131 , iki farkl\u0131 b\u00f6lge aras\u0131ndaki farkl\u0131l\u0131\u011f\u0131 \u00f6l\u00e7menin bir yoludur. Ekoloji ve biyolojide genellikle iki alan aras\u0131ndaki fark\u0131, bu alanlarda bulunan t\u00fcrler a\u00e7\u0131s\u0131ndan \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r. Bray-Curtis farkl\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplan\u0131r: BC ij = 1 \u2013 (2*C ij ) \/ (S i + S j [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1524","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Bray-Curtis farkl\u0131l\u0131\u011f\u0131: tan\u0131m ve \u00f6rnekler - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Bray-Curtis farkl\u0131l\u0131\u011f\u0131n\u0131n bir a\u00e7\u0131klamas\u0131, resmi bir tan\u0131m ve birka\u00e7 \u00f6rnek dahil olmak \u00fczere sa\u011flanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/bray-curtisin-farkliligi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bray-Curtis farkl\u0131l\u0131\u011f\u0131: tan\u0131m ve \u00f6rnekler - 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