{"id":1565,"date":"2023-07-25T21:00:34","date_gmt":"2023-07-25T21:00:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/simpsons-cesitlilik-indeksi\/"},"modified":"2023-07-25T21:00:34","modified_gmt":"2023-07-25T21:00:34","slug":"simpsons-cesitlilik-indeksi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/simpsons-cesitlilik-indeksi\/","title":{"rendered":"Simpson \u00e7e\u015fitlilik endeksi: tan\u0131m ve \u00f6rnekler"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Simpson \u00c7e\u015fitlilik Endeksi,<\/strong> bir topluluktaki t\u00fcr \u00e7e\u015fitlili\u011fini \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Not <em>D<\/em> , bu endeks a\u015fa\u011f\u0131daki gibi hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>D<\/em> = \u03a3n <sub>ben<\/sub> (n <sub>ben<\/sub> -1) \/ N(N-1)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> <em>i<\/em> t\u00fcr\u00fcne ait organizmalar\u0131n say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Toplam organizma say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Simpson \u00e7e\u015fitlilik indeksinin de\u011feri 0 ile 1 aras\u0131ndad\u0131r. De\u011fer ne kadar y\u00fcksek olursa \u00e7e\u015fitlilik o kadar d\u00fc\u015f\u00fck olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu yorum biraz mant\u0131\u011fa ayk\u0131r\u0131 oldu\u011fundan, genellikle 1 \u2013 D \u015feklinde hesaplanan <strong>Simpson \u00c7e\u015fitlilik Endeksi&#8217;ni<\/strong> (bazen Bask\u0131nl\u0131k Endeksi olarak da adland\u0131r\u0131l\u0131r) hesaplar\u0131z. Bu endeksin de\u011feri ne kadar y\u00fcksekse t\u00fcr \u00e7e\u015fitlili\u011fi de o kadar y\u00fcksektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">1\/D olarak hesaplanan <strong>kar\u015f\u0131l\u0131kl\u0131 Simpson indeksini<\/strong> de hesaplayabiliriz. Bu indeksin en d\u00fc\u015f\u00fck de\u011feri 1, en y\u00fcksek de\u011feri ise t\u00fcr say\u0131s\u0131na e\u015fittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin 7 farkl\u0131 t\u00fcr varsa bu endeksin maksimum de\u011feri 7 olur. Bu endeksin de\u011feri ne kadar y\u00fcksek olursa t\u00fcr \u00e7e\u015fitlili\u011fi de o kadar fazla olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, belirli bir topluluk i\u00e7in bu farkl\u0131 endekslerin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">1. Ad\u0131m: Verileri toplay\u0131n<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bir biyolo\u011fun yerel bir ormandaki t\u00fcr \u00e7e\u015fitlili\u011fini \u00f6l\u00e7mek istedi\u011fini varsayal\u0131m. A\u015fa\u011f\u0131daki verileri toplar:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15477 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon1.png\" alt=\"\" width=\"159\" height=\"188\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: N&#8217;yi hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra toplam organizma say\u0131s\u0131n\u0131 hesaplayabilir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15509 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpson1.png\" alt=\"\" width=\"169\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Toplamda <strong>105<\/strong> kurulu\u015f bulunmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: n <sub>i<\/sub> (n <sub>i<\/sub> -1)&#8217;i hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra n <sub>i<\/sub> (n <sub>i<\/sub> -1)&#8217;i hesaplayabilir. \u00d6rne\u011fin ilk t\u00fcr \u015fu \u015fekilde hesaplan\u0131r: 40*(40-1) = 1560. Bu hesaplamay\u0131 her t\u00fcr i\u00e7in tekrarlayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15510 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpson2.png\" alt=\"\" width=\"233\" height=\"237\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Simpson \u00c7e\u015fitlilik Endeksi&#8217;ni hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak Simpson Endeksini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>D<\/em> = \u03a3n <sub>ben<\/sub> (n <sub>ben<\/sub> -1) \/ N(N-1)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha \u00f6nce buldu\u011fumuz de\u011ferleri kullanarak <strong>Simpson Endeksi<\/strong> \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>D<\/em> = 2,668 \/ (105*(105-1)) = <strong>0,244<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Simpson \u00c7e\u015fitlilik Endeksi&#8217;ni<\/strong> de \u015fu \u015fekilde hesaplayabiliriz: 1 \u2013 <em>D<\/em> = 1 \u2013 0,244 = <strong>0,756<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Simpson&#8217;\u0131n kar\u015f\u0131l\u0131kl\u0131 indeksini<\/strong> 1\/ <em>D<\/em> = 1\/.244 = <strong>4.09<\/strong> olarak da hesaplayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Herhangi bir veri k\u00fcmesi i\u00e7in Simpson \u00c7e\u015fitlilik Endeksini otomatik olarak hesaplamak i\u00e7in bu Simpson \u00c7e\u015fitlilik Endeksi Hesaplay\u0131c\u0131s\u0131n\u0131 kullanmaktan \u00e7ekinmeyin.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Simpson \u00c7e\u015fitlilik Endeksi, bir topluluktaki t\u00fcr \u00e7e\u015fitlili\u011fini \u00f6l\u00e7menin bir yoludur. Not D , bu endeks a\u015fa\u011f\u0131daki gibi hesaplan\u0131r: D = \u03a3n ben (n ben -1) \/ N(N-1) Alt\u0131n: n i : i t\u00fcr\u00fcne ait organizmalar\u0131n say\u0131s\u0131 N: Toplam organizma say\u0131s\u0131 Simpson \u00e7e\u015fitlilik indeksinin de\u011feri 0 ile 1 aras\u0131ndad\u0131r. De\u011fer ne kadar y\u00fcksek olursa \u00e7e\u015fitlilik o [&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-1565","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>Simpson \u00e7e\u015fitlilik indeksi: tan\u0131m ve \u00f6rnekler - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir form\u00fcl ve ad\u0131m ad\u0131m \u00f6rnek de dahil olmak \u00fczere Simpson \u00c7e\u015fitlilik Endeksi&#039;nin bir a\u00e7\u0131klamas\u0131 sunulmaktad\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\/simpsons-cesitlilik-indeksi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simpson \u00e7e\u015fitlilik indeksi: tan\u0131m ve \u00f6rnekler - 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