title: ÐÐ°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Parametric clustering of cities
Creators: name: ÐÑÑÐ¾Ð¼ÑÐµÐ²Ð°, ÐÐ°ÑÐ°Ð»Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ðµ Ð·Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ
Ð³ÑÐ°Ð´Ð¾Ð¾Ð±ÑÐ°Ð·ÑÑÑÐ°Ñ ÑÑÐ½ÐºÑÐ¸Ñ
ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ðµ Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ
Ð½ÐµÐ¹ÑÐ¾ÑÐµÑÐµÐ²Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐ°Ð¼Ð¾Ð¾ÑÐ³Ð°Ð½Ð¸Ð·ÑÑÑÐ¸ÐµÑÑ ÐºÐ°ÑÑÑ (SOM)
functional zoning
clustering
city-forming function
functional appointment
neural network modeling
self-organizing maps (SOM)

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð² Ð Ð¾ÑÑÐ¸Ð¹ÑÐºÐ¾Ð¹ Ð¤ÐµÐ´ÐµÑÐ°ÑÐ¸Ð¸ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¸Ñ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ (Ð³ÑÐ°Ð´Ð¾Ð¾Ð±ÑÐ°Ð·ÑÑÑÐµÐ¹ ÑÑÐ½ÐºÑÐ¸Ð¸). ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1) ÐÐ½Ð°Ð»Ð¸Ð· ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð³Ð¾ÑÐ¾Ð´ÑÐºÐ¸Ñ ÑÐµÑÑÐ¸ÑÐ¾ÑÐ¸Ð¹ Ð¸ Ð¾Ð±Ð·Ð¾Ñ Ð½Ð¾ÑÐ¼Ð°ÑÐ¸Ð²Ð½Ð¾-Ð¿ÑÐ°Ð²Ð¾Ð²Ð¾Ð¹ Ð´Ð¾ÐºÑÐ¼ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð² ÑÑÐµÑÐµ Ð³ÑÐ°Ð´Ð¾ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÑÑÐ²Ð°; 2) ÐÐ½Ð°Ð»Ð¸Ð· Ð·Ð°ÑÑÐ±ÐµÐ¶Ð½Ð¾Ð³Ð¾ Ð¸ Ð¾ÑÐµÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¾Ð¿ÑÑÐ° ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð·Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð² Ð³ÑÐ°Ð´Ð¾ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÑÑÐ²Ðµ; 3) ÐÑÐ±Ð¾Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð´Ð»Ñ ÑÐ°Ð·ÑÐ°Ð±Ð°ÑÑÐ²Ð°ÐµÐ¼Ð¾Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð²; 4) ÐÑÐµÐ½ÐºÐ° Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð². Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¹ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑ Deductor, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð½ÐµÐ¹ÑÐ¾ÑÐµÑÐµÐ²Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. Ð¡Ð¿Ð¾ÑÐ¾Ð±Ð¾Ð¼ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¸ Ð¾Ð±Ð¾Ð±ÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ÑÐ»ÑÐ¶Ð¸Ð»Ð¸ ÑÐ°Ð¼Ð¾Ð¾ÑÐ³Ð°Ð½Ð¸Ð·ÑÑÑÐ¸ÐµÑÑ ÐºÐ°ÑÑÑ ÐÐ¾ÑÐ¾Ð½ÐµÐ½Ð° (SOM). ÐÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð² Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð² 4 Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ°Ñ: 1) ÐÐµÑÐ¾Ð´Ð¾Ð¼ ÑÐ°ÑÑÐµÑÐ° ÑÑÐµÐ´Ð½ÐµÐ³Ð¾ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¾ ÐÐ Ð; 2) ÐÐµÑÐ¾Ð´Ð¾Ð¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¾ ÐÐ Ð; 3) ÐÐµÑÐ¾Ð´Ð¾Ð¼ ÑÐ°ÑÑÐµÑÐ° ÑÑÐµÐ´Ð½ÐµÐ³Ð¾ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¾ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¼ Ð·Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸; 4) ÐÐµÑÐ¾Ð´Ð¾Ð¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¾ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¼ Ð·Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸. Ð ÐºÐ°ÑÐµÑÑÐ²Ðµ Ð¾ÑÐ½Ð¾Ð²Ð½Ð¾Ð¹ Ð¸ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð´Ð¾ÑÑÐ¾Ð²ÐµÑÐ½Ð¾Ð¹ Ð±ÑÐ»Ð° Ð²ÑÐ±ÑÐ°Ð½Ð° Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¾ ÐÐ Ð. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ 42 Ð³Ð¾ÑÐ¾Ð´Ð¾Ð² Ð Ð¾ÑÑÐ¸Ð¹ÑÐºÐ¾Ð¹ Ð¤ÐµÐ´ÐµÑÐ°ÑÐ¸Ð¸ Ð¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ñ ÐºÐ»Ð°ÑÑÐµÑÑ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð² Ð¿Ð¾ Ð¸Ñ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¼Ñ Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð±ÑÐ» ÑÐ¾Ð·Ð´Ð°Ð½ ÐµÐ´Ð¸Ð½ÑÐ¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¾Ñ Ð³Ð¾ÑÐ¾Ð´Ð¾Ð² Ð Ð¾ÑÑÐ¸Ð¹ÑÐºÐ¾Ð¹ Ð¤ÐµÐ´ÐµÑÐ°ÑÐ¸Ð¸ Ð¿Ð¾ Ð¸Ñ Ð³ÑÐ°Ð´Ð¾Ð¾Ð±ÑÐ°Ð·ÑÑÑÐ¸Ð¼ ÑÑÐ½ÐºÑÐ¸ÑÐ¼.
description: This work is devoted to the development of clustering methods for cities of the Russian Federation to determine their functional purpose (city-forming function). The research set the following goals: 1) Analysis of the functional purpose of urban areas and a review of regulatory documents in the urban development; 2) Analysis of foreign and domestic experience of functional zoning and clustering in urban planning; 3) The choice of parameters for the developed methodology for clustering cities; 4) Assessment of the practical applicability of the developed methodology for clustering cities. The work was fulfilled on the Deductor software package, based on the use of neural network modeling algorithms. Self-organizing maps of Kohonen (SOM) served as a way to visualize and summarize the data. Clustering of cities was carried out in 4 options: 1) The method of calculating the arithmetic mean based on GRP data; 2) The parametric clustering method based on GRP data; 3) The method of calculating the arithmetic mean based on functional zoning data; 4) The method of parametric clustering based on functional zoning data. The methodology of parametric clustering of cities based on GRP data was chosen as the main and most reliable. As a result, 42 cities of the Russian Federation were clustered and clusters of cities were identified by their functional purpose. Based on the data obtained, a unified classifier of cities of the Russian Federation was created by their city-forming functions.