 
{"id":2281,"date":"2022-02-01T21:19:29","date_gmt":"2022-02-01T18:19:29","guid":{"rendered":"http:\/\/geopolitika.cfuv.ru\/?page_id=2281"},"modified":"2022-02-01T21:19:29","modified_gmt":"2022-02-01T18:19:29","slug":"%d1%81%d0%b5%d0%bb%d1%8c%d1%81%d0%ba%d0%be%d0%b5-%d0%bd%d0%b0%d1%81%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b2-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc%d0%b0%d1%85-%d1%86%d0%b5%d0%bd%d1%82%d1%80%d0%b0","status":"publish","type":"page","link":"https:\/\/geopolitika.cfuv.ru\/en\/arhiv\/%d1%82%d0%be%d0%bc-7-17-%d0%b2%d1%8b%d0%bf%d1%83%d1%81%d0%ba-3\/%d1%81%d0%b5%d0%bb%d1%8c%d1%81%d0%ba%d0%be%d0%b5-%d0%bd%d0%b0%d1%81%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b2-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc%d0%b0%d1%85-%d1%86%d0%b5%d0%bd%d1%82%d1%80%d0%b0\/","title":{"rendered":"\u0421\u0415\u041b\u042c\u0421\u041a\u041e\u0415 \u041d\u0410\u0421\u0415\u041b\u0415\u041d\u0418\u0415 \u0412 \u0421\u0418\u0421\u0422\u0415\u041c\u0410\u0425 \u0426\u0415\u041d\u0422\u0420\u0410\u041b\u042c\u041d\u042b\u0425 \u041c\u0415\u0421\u0422"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>RURAL POPULATION OF CENTRAL PLACE SYSTEMS<\/strong><\/p>\n<p><strong><span style=\"color: #4f81bd;\">JOURNAL<\/span>: <\/strong><strong>\u00ab GEOPOLITICS AND ECOGEODYNAMICS OF REGIONS\u00bb <\/strong>Volume 7 (17) issue 3, 2021<\/p>\n<p><span style=\"color: #4f81bd;\"><strong>Section\u00a0<\/strong><\/span><strong>1.<\/strong> <strong>Theoretical aspects of geopolitics and ecogeodynamics<\/strong><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Publication text (PDF):<\/strong><a style=\"color: #ff0000;\" href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/3_\u0414\u043c\u0438\u0442\u0440\u0438\u0435\u0432-26-33.pdf\">Download<\/a><\/span><\/p>\n<p><strong><span style=\"color: #4f81bd;\">UDK<\/span>: <\/strong>911.8<\/p>\n<p><span style=\"color: #4f81bd;\"><strong>AUTHOR AND PUBLICATION INFORMATION<\/strong><\/span><\/p>\n<p><strong><span style=\"color: #4f81bd;\">AUTHORS<\/span>:<\/strong><\/p>\n<ol>\n<li>R. V. Dmitriev, Institute of Geography RAS; Institute for African Studies RAS, Moscow, Russian Federation<\/li>\n<\/ol>\n<ol start=\"2\">\n<li>S. A. Gorokhov, Institute of Geography RAS, Moscow, Russian Federation<\/li>\n<\/ol>\n<p><strong><span style=\"color: #4f81bd;\">TYPE<\/span>: <\/strong>Article<\/p>\n<p><strong><span style=\"color: #4f81bd;\">DOI<\/span>:<\/strong> 10.37279\/2309-7663-2021-7-3-26-33<\/p>\n<p><strong><span style=\"color: #4f81bd;\">PAGES<\/span>: <\/strong>from 26\u00a0to 33<\/p>\n<p><strong><span style=\"color: #4f81bd;\">STATUS<\/span>: <\/strong>Published<\/p>\n<p><strong><span style=\"color: #4f81bd;\">LANGUAGE<\/span>: <\/strong>Russian<\/p>\n<p><strong><span style=\"color: #4f81bd;\">KEYWORDS<\/span>: <\/strong>central place theory, rural population, hierarchy level, settlement continuum, isolated grid, rural population share.<\/p>\n<p><strong><span style=\"color: #4f81bd;\">ABSTRACT (ENGLISH)<\/span>:<\/strong> The main quantitative indicator of the Central Place Theory (CPT), which makes it possible to put forward many of its provisions, is the share of the central place in the population of the area it serves\u00a0(k). Earlier, we proposed a complete version of the proof of the constancy of\u00a0k for all hierarchical levels for any values of\u00a0k, and also established an upper bound for their set in the form of a nonstrict invariant. However, what is\u00a0k in itself? At first glance, the answer is obvious: this parameter is the quotient of dividing the population of the central place by the population of the area it serves. At the same time, what population size should be taken for consideration? All domestic and foreign studies within the CPT proceed from the assumption that, comparing theory with empirical reality, we should consider urban settlement systems not as closed systems, but as fragments of the settlement continuum. The article examines the phenomenon of uniform distribution of the rural population in the systems of central places. It is shown that in the works of our predecessors, the systems of central places were actually considered not as part of a continuous and infinite continuum of settlement, but as independent systems. It has been established that within the isolated systems of central places, the rural population is not distributed evenly, but in the corresponding hierarchical settlements. An equation is derived for the dependence of the share of the rural population in the total population of the system on the fundamental parameters of the latter:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2283 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image001.png\" alt=\"\" width=\"280\" height=\"62\" \/><\/p>\n<p>Thus, for isolated systems, the total population includes the number of not only the central places, but also the rural population. At the same time, we substantiated the possibility of the existence of such within isolated areas \u2013 within state borders or, for example, on the islands. 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\u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u0430 \u0434\u043b\u044f \u043b\u044e\u0431\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439\u00a0<em>k<\/em>, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u0430 \u0432\u0435\u0440\u0445\u043d\u044f\u044f \u0433\u0440\u0430\u043d\u0438\u0446\u0430 \u0438\u0445 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430 \u0432 \u0432\u0438\u0434\u0435 \u043d\u0435\u0441\u0442\u0440\u043e\u0433\u043e\u0433\u043e \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0430. \u041e\u0434\u043d\u0430\u043a\u043e \u0447\u0442\u043e \u0436\u0435 \u0435\u0441\u0442\u044c\u00a0<em>k<\/em> \u0441\u0430\u043c\u043e \u043f\u043e \u0441\u0435\u0431\u0435? \u041d\u0430 \u043f\u0435\u0440\u0432\u044b\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u043e\u0442\u0432\u0435\u0442 \u043e\u0447\u0435\u0432\u0438\u0434\u0435\u043d: \u044d\u0442\u043e\u0442 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0447\u0430\u0441\u0442\u043d\u043e\u0435 \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043c\u0435\u0441\u0442\u0430 \u043d\u0430 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u043e\u0431\u0441\u043b\u0443\u0436\u0438\u0432\u0430\u0435\u043c\u043e\u0439 \u0438\u043c \u0437\u043e\u043d\u044b. \u0412 \u0442\u043e \u0436\u0435 \u0432\u0440\u0435\u043c\u044f \u043a\u0430\u043a\u0443\u044e \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u0431\u0440\u0430\u0442\u044c \u0434\u043b\u044f \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u044f, \u0435\u0441\u043b\u0438 \u0440\u0435\u0448\u0435\u0442\u043a\u0430 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u0430 \u2014 \u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0438 \u0441 \u043a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0422\u0426\u041c?<\/p>\n<p>\u0412 \u043a\u0440\u0438\u0441\u0442\u0430\u043b\u043b\u0435\u0440\u043e\u0432\u0441\u043a\u043e\u043c \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0435 \u0442\u0435\u043e\u0440\u0438\u0438 \u0447\u0438\u0441\u043b\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 \u043d\u0430 \u043b\u044e\u0431\u043e\u043c \u0443\u0440\u043e\u0432\u043d\u0435 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438 \u043f\u043e\u0434 \u043d\u043e\u043c\u0435\u0440\u043e\u043c <em>n<\/em>\u205f&gt;\u205f1 \u0440\u0430\u0432\u043d\u043e (K-1)*K<sup>n-2<\/sup>, \u0433\u0434\u0435 \u041a \u2014 \u0447\u0438\u0441\u043b\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 \u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438, \u043e\u0431\u0441\u043b\u0443\u0436\u0438\u0432\u0430\u0435\u043c\u044b\u0445 \u043e\u0434\u043d\u0438\u043c \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u043c \u043c\u0435\u0441\u0442\u043e\u043c \u0431\u043e\u043b\u0435\u0435 \u0432\u044b\u0441\u043e\u043a\u043e\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f, \u0443\u043c\u0435\u043d\u044c\u0448\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 (\u0443\u0440\u043e\u0432\u043d\u0438 \u043d\u0443\u043c\u0435\u0440\u0443\u044e\u0442\u0441\u044f \u0441\u0432\u0435\u0440\u0445\u0443). \u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043c, \u0447\u0442\u043e \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u043d\u0435\u043a\u043e\u0435\u0433\u043e \u00ab\u0443\u0447\u0430\u0441\u0442\u043a\u0430\u00bb \u0440\u0435\u0448\u0435\u0442\u043a\u0438 \u0440\u0430\u0432\u043d\u0430 (\u0432\u0435\u0440\u043d\u0435\u0435, \u0434\u043b\u044f \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u0440\u0435\u0448\u0435\u0442\u043a\u0438 \u2014 \u0441\u0442\u0440\u0435\u043c\u0438\u0442\u0441\u044f \u043a, \u0435\u0441\u043b\u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0441\u0445\u043e\u0434\u0438\u0442\u0441\u044f) \u043d\u0435\u043a\u043e\u0435\u043c\u0443 <em>P<sub>a<\/sub><\/em> \u0438 \u0432\u044b\u0440\u0430\u0437\u0438\u043c \u0435\u0435 \u0447\u0435\u0440\u0435\u0437 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043b\u0438\u0448\u044c \u0432\u0445\u043e\u0434\u044f\u0449\u0438\u0445 \u0432 \u043d\u0435\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442. \u041d\u0430\u0447\u043d\u0435\u043c \u0441 \u043d\u0435\u043a\u043e\u0435\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f <em>a<\/em>:<\/p>\n<table>\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2284 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image003.png\" alt=\"\" width=\"709\" height=\"54\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image003.png 709w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image003-300x23.png 300w\" sizes=\"auto, (max-width: 709px) 100vw, 709px\" \/><\/td>\n<td>(1)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: left;\">\u041f\u0440\u0438\u043c\u0435\u043d\u044f\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0411\u0435\u043a\u043c\u0430\u043d\u043d\u0430-\u041f\u0430\u0440\u0440\u0430 \u0432\u044b\u0440\u0430\u0437\u0438\u043c \u0432\u00a0(1) \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043c\u0435\u0441\u0442\u0430 \u0447\u0435\u0440\u0435\u0437 <em>p<sub>a<\/sub><\/em>:<\/p>\n<table>\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2285 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image005.png\" alt=\"\" width=\"689\" height=\"54\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image005.png 689w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image005-300x24.png 300w\" sizes=\"auto, (max-width: 689px) 100vw, 689px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2286 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image007.png\" alt=\"\" width=\"375\" height=\"54\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image007.png 375w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image007-300x43.png 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2287\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image009.png\" alt=\"\" width=\"691\" height=\"60\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image009.png 691w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image009-300x26.png 300w\" sizes=\"auto, (max-width: 691px) 100vw, 691px\" \/><\/td>\n<td>(2)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: left;\">\n\u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0445 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0443\u043c\u043c\u0443 \u0447\u043b\u0435\u043d\u043e\u0432 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u0443\u0431\u044b\u0432\u0430\u044e\u0449\u0435\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0441\u043e \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435\u043c <a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image011.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2288\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image011.png\" alt=\"\" width=\"162\" height=\"39\" \/><\/a>. \u0422\u043e\u0433\u0434\u0430\u00a0(2) \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043e \u043a \u0432\u0438\u0434\u0443:<\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image013.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2289 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image013.png\" alt=\"\" width=\"550\" height=\"52\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image013.png 550w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image013-300x28.png 300w\" sizes=\"auto, (max-width: 550px) 100vw, 550px\" \/><\/a><\/p>\n<p>\u0421\u0430\u043c\u043e \u043f\u043e \u0441\u0435\u0431\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0430\u043a\u0441\u0438\u043e\u043c\u0430\u0442\u0438\u043a\u0435 \u0422\u0426\u041c \u0438 \u043d\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0447\u0435\u0433\u043e-\u0442\u043e \u044d\u043a\u0441\u0442\u0440\u0430\u043e\u0440\u0434\u0438\u043d\u0430\u0440\u043d\u043e\u0433\u043e \u2014 \u0437\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435\u043c \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043e\u043d\u043e \u0431\u044b\u043b\u043e \u0432\u044b\u0432\u0435\u0434\u0435\u043d\u043e. \u0418\u0437 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043f\u043e\u043d\u044f\u0442\u043d\u043e, \u0432\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043f\u043e\u0447\u0435\u043c\u0443 \u0441\u0435\u043b\u044c\u0441\u043a\u043e\u0435 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u0435, \u043d\u0435 \u0431\u0443\u0434\u0443\u0447\u0438 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u043d\u044b\u043c \u0432 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u043e\u0441\u0435\u043b\u0435\u043d\u0438\u044f\u0445, \u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u00ab\u0432\u044b\u043d\u0443\u0436\u0434\u0435\u043d\u043d\u043e\u00bb \u0440\u0430\u0441\u0441\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u0440\u0430\u043c\u043a\u0430\u0445 \u0432\u0441\u0435\u0433\u043e \u043e\u0441\u0442\u0430\u0432\u0448\u0435\u0433\u043e\u0441\u044f \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u043a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u043e\u0439 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\u0432\u043a\u043b\u044e\u0447\u0430\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u0435 \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 \u0431\u0435\u0437 \u0443\u0447\u0435\u0442\u0430 \u0441\u0435\u043b\u044c\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f.<\/p>\n<p><strong>\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0438 \u043e\u0431\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u0435<\/strong><\/p>\n<p>\u041f\u043e\u0434\u043e\u0439\u0434\u0435\u043c \u043a \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u044e \u044d\u0442\u043e\u0433\u043e \u0432\u043e\u043f\u0440\u043e\u0441\u0430 \u0441 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0438\u043d\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432\u0437\u044f\u0432 \u0434\u043b\u044f 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\u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c:<\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image015.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2290 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image015.png\" alt=\"\" width=\"528\" height=\"50\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image015.png 528w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image015-300x28.png 300w\" sizes=\"auto, (max-width: 528px) 100vw, 528px\" \/><\/a><\/p>\n<p>\u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0411\u0435\u043a\u043c\u0430\u043d\u043d\u0430-\u041f\u0430\u0440\u0440\u0430, \u0441\u0432\u044f\u0437\u044b\u0432\u0430\u044e\u0449\u0435\u0435 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u0435\u0434\u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u0435\u0439 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438, \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432\u0438\u0434:<\/p>\n<table>\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2291 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image017.png\" alt=\"\" width=\"170\" height=\"54\" \/><\/td>\n<td style=\"text-align: right;\">(4)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u00a0(4) \u0431\u044b\u043b\u043e \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043e \u0432\u00a0[9]. \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, <em>k<\/em>\u00a0\u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u043d\u043e\u00a0<em>k<\/em> \u0434\u043b\u044f \u0432\u0441\u0435\u0445 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u0440\u043e\u0432\u043d\u0435\u0439 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438. \u0421\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u0436\u0435 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f <em>1<\/em>-\u0433\u043e \u0438 <em>n<\/em>-\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u0435\u0439 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442:<\/p>\n<table>\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2292 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image019.png\" alt=\"\" width=\"270\" height=\"55\" \/><\/td>\n<td>(5)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0414\u043b\u044f <em>n<\/em>-\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f <em>k<\/em><em>=1<\/em>, \u0447\u0442\u043e \u043d\u0438 \u0432 \u043a\u043e\u0435\u0439 \u043c\u0435\u0440\u0435 \u043d\u0435 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u0440\u0435\u0447\u0438\u0442 \u043e\u0431\u0449\u0438\u043c \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f\u043c \u0442\u0435\u043e\u0440\u0438\u0438 \u2014 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0431\u0443\u0434\u0435\u0442 \u043b\u0438\u0448\u044c \u0432\u0432\u0435\u0441\u0442\u0438 \u0432 \u043d\u0438\u0445 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0435 \u043f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435. \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u043f\u044b\u0442\u0430\u0435\u043c\u0441\u044f \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c, \u043a\u0430\u043a \u0436\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c\u00a0<em>k<\/em> \u0434\u043b\u044f \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 \u2014 \u0432\u0435\u0440\u043d\u0435\u043c\u0441\u044f \u043a \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e\u00a0(1). \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043e\u043d\u043e \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u0435\u0442 \u0441\u0432\u043e\u0439 \u0432\u0438\u0434 \u0434\u043b\u044f\u00a0<em>n<\/em> \u0443\u0440\u043e\u0432\u043d\u0435\u0439 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438, \u0437\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0442\u043e\u0447\u0438\u044f \u0432 \u043a\u043e\u043d\u0446\u0435, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043a\u043e\u043d\u0435\u0447\u043d\u0430. \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u044d\u0442\u043e, \u0430 \u0442\u0430\u043a\u0436\u0435\u00a0(4) \u0438 (5), \u043f\u0435\u0440\u0435\u043f\u0438\u0448\u0435\u043c\u00a0(1):<\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image021.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2293\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image021.png\" alt=\"\" width=\"684\" height=\"27\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image021.png 684w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image021-300x12.png 300w\" sizes=\"auto, (max-width: 684px) 100vw, 684px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image023.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2294\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image023.png\" alt=\"\" width=\"596\" height=\"54\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image023.png 596w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image023-300x27.png 300w\" sizes=\"auto, (max-width: 596px) 100vw, 596px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image025.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2295\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image025.png\" alt=\"\" width=\"709\" height=\"112\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image025.png 709w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image025-300x47.png 300w\" sizes=\"auto, (max-width: 709px) 100vw, 709px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image027.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2296\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image027.png\" alt=\"\" width=\"631\" height=\"60\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image027.png 631w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image027-300x29.png 300w\" sizes=\"auto, (max-width: 631px) 100vw, 631px\" \/><\/a><\/p>\n<p>\u0412\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0445 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0443\u043c\u043c\u0443 \u0447\u043b\u0435\u043d\u043e\u0432 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0441\u043e \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435\u043c <a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image029.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2297\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image029.png\" alt=\"\" width=\"91\" height=\"39\" \/><\/a>\u00a0\u0422\u043e\u0433\u0434\u0430, \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0442\u044c <em>P<\/em><em><sub>1<\/sub><\/em>, \u0438\u043c\u0435\u0435\u043c:<\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image031.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2298\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image031.png\" alt=\"\" width=\"506\" height=\"93\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image031.png 506w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image031-300x55.png 300w\" sizes=\"auto, (max-width: 506px) 100vw, 506px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image033.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2299\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image033.png\" alt=\"\" width=\"578\" height=\"58\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image033.png 578w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image033-300x30.png 300w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image035.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2300\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image035.png\" alt=\"\" width=\"692\" height=\"57\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image035.png 692w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image035-300x25.png 300w\" sizes=\"auto, (max-width: 692px) 100vw, 692px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image037.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2301\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image037.png\" alt=\"\" width=\"709\" height=\"160\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image037.png 709w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image037-300x68.png 300w\" sizes=\"auto, (max-width: 709px) 100vw, 709px\" \/><\/a><\/p>\n<p>\u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0434\u043e\u0439\u0434\u0435\u043c \u043a \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u044e \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u0438 \u0432\u044b\u044f\u0441\u043d\u0438\u043c, \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u043b\u0438 \u0438\u0445 \u044d\u0432\u043e\u043b\u044e\u0446\u0438\u044f \u043f\u043e \u0441\u0445\u043e\u0436\u0435\u043c\u0443 \u0441 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u0440\u0435\u0448\u0435\u0442\u043a\u043e\u0439 \u0441\u0446\u0435\u043d\u0430\u0440\u0438\u044e [10] \u0438\u043b\u0438 \u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0441\u0432\u043e\u0438 \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e\u0441\u0442\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u0435\u0440\u043d\u0435\u043c\u0441\u044f \u043a \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e\u00a0(2), \u043f\u0435\u0440\u0435\u043f\u0438\u0441\u0430\u0432 \u0435\u0433\u043e \u0442\u043e\u043b\u044c\u043a\u043e \u043b\u0438\u0448\u044c \u0434\u043b\u044f \u0433\u043e\u0440\u043e\u0434\u0441\u043a\u0438\u0445 \u043f\u043e\u0441\u0435\u043b\u0435\u043d\u0438\u0439\u00a0\u2014 \u0431\u0435\u0437 \u0443\u0447\u0435\u0442\u0430 \u0441\u0435\u043b\u044c\u0441\u043a\u0438\u0445 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044b\u0445 \u043f\u0443\u043d\u043a\u0442\u043e\u0432 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f\u00a0<em>n<\/em>:<\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image039.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2302\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image039.png\" alt=\"\" width=\"709\" height=\"260\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image039.png 709w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image039-300x110.png 300w\" sizes=\"auto, (max-width: 709px) 100vw, 709px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image041.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2303\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image041.png\" alt=\"\" width=\"709\" height=\"115\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image041.png 709w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image041-300x49.png 300w\" sizes=\"auto, (max-width: 709px) 100vw, 709px\" \/><\/a><\/p>\n<p>\u0420\u0430\u0437\u0434\u0435\u043b\u0438\u0432 \u043b\u0435\u0432\u0443\u044e \u0438 \u043f\u0440\u0430\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u0438 \u043d\u0430 <em>P<\/em><sub>1<\/sub>, \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c:<\/p>\n<table>\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2304 aligncenter\" src=\"http:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image043.png\" alt=\"\" width=\"318\" height=\"62\" srcset=\"https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image043.png 318w, https:\/\/geopolitika.cfuv.ru\/wp-content\/uploads\/2022\/02\/image043-300x58.png 300w\" sizes=\"auto, (max-width: 318px) 100vw, 318px\" \/><\/td>\n<td>(6)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0433\u0434\u0435 <em>j<\/em> \u2013 \u0434\u043e\u043b\u044f \u0433\u043e\u0440\u043e\u0434\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f.<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0434\u043b\u044f \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u0440\u0435\u0448\u0435\u0442\u043a\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u00a0(6) \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u0442\u0430\u043a\u043e\u0432\u043e\u0433\u043e \u0434\u043b\u044f \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u0440\u0435\u0448\u0435\u0442\u043a\u0438\u00a0[10] \u043b\u0438\u0448\u044c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0443\u043c\u0435\u043d\u044c\u0448\u0435\u043d\u043d\u044b\u043c \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443. \u042d\u0442\u043e \u0432\u043f\u043e\u043b\u043d\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c\u043e: \u0432 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u0440\u0435\u0448\u0435\u0442\u043a\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0430\u0432\u0435\u043d <em>n<\/em>\u20131, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u044b \u0431\u0435\u0440\u0435\u043c \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u00ab\u0441\u0442\u0430\u0440\u0442\u043e\u0432\u043e\u0433\u043e\u00bb \u043b\u0438\u0448\u044c \u043e\u0434\u043d\u043e \u043c\u0435\u0441\u0442\u043e \u0443\u0441\u043b\u043e\u0432\u043d\u043e \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f, \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0438\u0432\u0430\u044f \u0440\u0435\u0448\u0435\u0442\u043a\u0443 \u0441\u0432\u0435\u0440\u0445\u0443. \u041e\u0433\u0440\u0430\u043d\u0438\u0447\u0438\u0432\u0430\u044f \u0440\u0435\u0448\u0435\u0442\u043a\u0443 \u0438 \u0441\u043d\u0438\u0437\u0443 \u2014 \u0442\u043e \u0435\u0441\u0442\u044c \u0434\u0435\u043b\u0430\u044f \u0435\u0435 \u043e\u043a\u043e\u043d\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u2014 \u043c\u044b \u00ab\u0443\u0431\u0438\u0440\u0430\u0435\u043c\u00bb \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u043c\u0435\u0441\u0442\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f:\u00a0<em>n<\/em> \u0432 \u043d\u0430\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0432\u043a\u043b\u044e\u0447\u0430\u0435\u0442 \u0438 \u043f\u0435\u0440\u0432\u044b\u0439 \u0443\u0440\u043e\u0432\u0435\u043d\u044c, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0439 \u043e\u0434\u043d\u0438\u043c \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u043c \u043c\u0435\u0441\u0442\u043e\u043c (\u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c\u00a0\u00ab1\u00bb \u0438\u0437\u00a0<em>n<\/em>), \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439, \u0432\u043a\u043b\u044e\u0447\u0430\u044e\u0449\u0438\u0439 \u0441\u0435\u043b\u044c\u0441\u043a\u0438\u0435 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044b\u0435 \u043f\u0443\u043d\u043a\u0442\u044b (\u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c \u0435\u0449\u0435 \u0440\u0430\u0437\u00a0\u00ab1\u00bb \u0438\u0437\u00a0<em>n<\/em>). \u0412 \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u043c \u0441\u0447\u0435\u0442\u0435, \u0438\u0437\u00a0(6) \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0434\u043e\u043b\u0438 \u0441\u0435\u043b\u044c\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f\u00a0(<em>g<\/em>)\u0432 \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u0440\u0435\u0448\u0435\u0442\u043a\u0435 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442:<\/p>\n<p><strong>\u0412\u044b\u0432\u043e\u0434\u044b<\/strong><\/p>\n<p>\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0434\u043b\u044f \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 <em>P<\/em><em><sub>1<\/sub><\/em> \u0432\u043a\u043b\u044e\u0447\u0430\u0435\u0442 \u0432 \u0441\u0435\u0431\u044f \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442, \u043d\u043e \u0438 <em>\u0441\u0435\u043b\u044c\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f. \u041f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u043e \u043d\u0435 \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e, \u0430 \u0442\u044f\u0433\u043e\u0442\u0435\u0435\u0442 \u043a \u0442\u043e\u043c\u0443 \u0438\u043b\u0438 \u0438\u043d\u043e\u043c\u0443 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u043c\u0435\u0441\u0442\u0443 \u0432 \u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0432 \u043a\u0430\u043a\u043e\u0439 \u044d\u0442\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u0435 \u043c\u0435\u0441\u0442\u043e \u0432\u0435\u043b\u0438\u043a\u043e \u043f\u043e \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u0441\u0432\u043e\u0435\u0433\u043e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f, \u0442\u043e \u0435\u0441\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u0438\u043b\u0438 \u043c\u0435\u043d\u044c\u0448\u0435 \u0434\u0440\u0443\u0433\u043e\u0433\u043e<\/em>. \u0418\u043d\u044b\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0432\u043e \u0432\u0441\u0435\u0445 \u0440\u0430\u0431\u043e\u0442\u0430\u0445 \u043d\u0430\u0448\u0438\u0445 \u043f\u0440\u0435\u0434\u0448\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0438\u043a\u043e\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043c\u0435\u0441\u0442 \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u043b\u0438\u0441\u044c \u041d\u0415 \u043a\u0430\u043a \u0447\u0430\u0441\u0442\u044c \u043a\u043e\u043d\u0442\u0438\u043d\u0443\u0443\u043c\u0430 \u0440\u0430\u0441\u0441\u0435\u043b\u0435\u043d\u0438\u044f, \u0430 \u0438\u043c\u0435\u043d\u043d\u043e \u043a\u0430\u043a \u0441\u0430\u043c\u043e\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b. \u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u043d\u0430\u043c\u0438 \u043e\u0431\u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u043e\u0432\u0430\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u044b\u0445 \u0432 \u0440\u0430\u043c\u043a\u0430\u0445 \u0438\u0437\u043e\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0443\u0447\u0430\u0441\u0442\u043a\u043e\u0432 \u2014 \u0432 \u043f\u0440\u0435\u0434\u0435\u043b\u0430\u0445 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u0433\u0440\u0430\u043d\u0438\u0446 \u0438\u043b\u0438 \u043a \u043f\u0440\u0438\u043c\u0435\u0440\u0443, \u043d\u0430 \u043e\u0441\u0442\u0440\u043e\u0432\u0430\u0445. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u0435 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0445 \u0431\u044b\u043b\u043e \u043f\u0440\u0435\u0434\u043f\u0440\u0438\u043d\u044f\u0442\u043e \u0438 \u0440\u0430\u043d\u0435\u0435\u00a0[11], \u043e\u0434\u043d\u0430\u043a\u043e \u043d\u0435 \u0431\u044b\u043b\u0430 \u0434\u043e\u043a\u0430\u0437\u0430\u043d\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0438\u0445 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u043e\u0432\u0430\u043d\u0438\u044f \u0438, \u043a\u0430\u043a \u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435, \u043d\u0435 \u0431\u044b\u043b\u043e \u043e\u0431\u043e\u0441\u043d\u043e\u0432\u0430\u043d\u043e \u0438\u0445 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u0435 \u0441 \u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0422\u0426\u041c.<\/p>\n<p><span style=\"color: #4f81bd;\"><strong>REFERENCES<\/strong><\/span><\/p>\n<ol>\n<li>Valesjan A.\u00a0L. Sinhronnost&#8217; v prostranstvennoj jevoljucii sistem rasselenija i transportnyh setej: Doctor\u2019s thesis. , 1995. 232 p. (in Russian)<\/li>\n<li>Hudjaev I.\u00a0A. Jevoljucija prostranstvenno-ierarhicheskoj struktury regional&#8217;nyh sistem rasselenija: candidate\u2019s thesis. , 2010. 161 p. (in Russian)<\/li>\n<li>Shuper V.\u00a0A. Ustojchivost&#8217; prostranstvennoj struktury sistem gorodskogo rasselenija: Doctor\u2019s thesis. , 1990. 223 p. (in Russian)<\/li>\n<li>Parr J.\u00a0B. City Hierarchies and the Distribution of City Size: a Reconsideration of Beckmann\u2019s Contribution, Journal of Regional Science. 1969. Vol. 9, 2. pp.\u00a0239\u2013253.<\/li>\n<li>Shuper V.\u00a0A. Samoorganizacija gorodskogo rasselenija. M.: Rossijskij otkrytyj universitet, 1995. 168 p. (in Russian)<\/li>\n<li>Gusejn-Zade S.\u00a0M. Modeli razmeshhenija naselenija i naselennyh punktov. M.: Izd-vo MGU, 1998. 92 p. (in Russian)<\/li>\n<li>Dmitriev R.\u00a0V. K voprosu o postojanstve znachenija doli central&#8217;nogo mesta v naselenii obsluzhivaemoj im zony dlja vseh urovnej kristallerovskoj ierarhii, Izvestija Rossijskoj akademii nauk. Serija geograficheskaja. 2019. 1. pp. 128\u2013135. (in Russian)<\/li>\n<li>Gorohov S.\u00a0A., Dmitriev R.\u00a0V. Paradoksy urbanizacii sovremennoj Indii, Geografija v shkole. 2009. 2. pp. 17\u201323. (in Russian)<\/li>\n<li>Arhipov Ju.\u00a0R. Sistemnoe modelirovanie regional&#8217;nogo rasselenija: dis. \u2026 d-ra geogr. nauk. M., 2002. 342 p. (in Russian)<\/li>\n<li>Dmitriev R.\u00a0V. Jevoljucija sistem rasselenija v aspekte klassicheskoj teorii central&#8217;nyh mest, Izvestija Rossijskoj akademii nauk. Serija geograficheskaja. 2021. Vol. 85, 2. pp. 165\u2013167. (in Russian)<\/li>\n<li>Vazhenin A.\u00a0A. Primenimost&#8217; teorii central&#8217;nyh mest k izucheniju sistem rasselenija na ostrovah, Izvestija Rossijskoj akademii nauk. Serija geograficheskaja. 2008. 2. pp. 7\u201312. (in Russian)<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>RURAL POPULATION OF CENTRAL PLACE SYSTEMS JOURNAL: \u00ab GEOPOLITICS AND ECOGEODYNAMICS OF REGIONS\u00bb Volume 7 (17) issue 3, 2021 Section\u00a01. Theoretical aspects of geopolitics and ecogeodynamics Publication text (PDF):Download UDK: 911.8 AUTHOR AND PUBLICATION INFORMATION AUTHORS: R. V. Dmitriev, Institute of Geography RAS; Institute for African Studies RAS, Moscow, Russian Federation S. A. Gorokhov, Institute [&hellip;]<\/p>\n","protected":false},"author":13,"featured_media":0,"parent":2275,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2281","page","type-page","status-publish","hentry"],"translation":{"provider":"WPGlobus","version":"3.0.0","language":"en","enabled_languages":["ru","en"],"languages":{"ru":{"title":true,"content":true,"excerpt":false},"en":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/pages\/2281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/comments?post=2281"}],"version-history":[{"count":2,"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/pages\/2281\/revisions"}],"predecessor-version":[{"id":2307,"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/pages\/2281\/revisions\/2307"}],"up":[{"embeddable":true,"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/pages\/2275"}],"wp:attachment":[{"href":"https:\/\/geopolitika.cfuv.ru\/en\/wp-json\/wp\/v2\/media?parent=2281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}