Center of population
In demographics, the center of population (or population center) of a region is a geographical point that describes a centerpoint of the region's population. There are several ways of defining such a "center point", leading to different geographical locations; these are often confused.[1]
Definitions
Three commonly used (but different) center points are:
- the center of gravity;
- the median center, which is the intersection of the median longitude and median latitude;
- the geometric median, also known as Weber point, Fermat–Weber point, or point of minimum aggregate travel.
A further complication is caused by the curved shape of the Earth. Different center points are obtained depending on whether the center is computed in three-dimensional space, or restricted to the curved surface, or computed using a flat map projection.
Mean center
The mean center, or centroid, is the point on which a rigid, weightless map would balance perfectly, if the population members are represented as points of equal mass.
Mathematically, the centroid is the point to which the population has the smallest possible sum of squared distances. It is easily found by taking the arithmetic mean of each coordinate. If defined in the three-dimensional space, the centroid of points on the Earth's surface is actually inside the Earth. This point could then be projected back to the surface. Alternatively, one could define the centroid directly on a flat map projection; this is, for example, the definition that the
Contrary to a common misconception, the centroid does not minimize the average distance to the population. That property belongs to the geometric median.
Median center
The median center is the intersection of two perpendicular lines, each of which divides the population into two equal halves.[2] Typically these two lines are chosen to be a parallel (a line of latitude) and a meridian (a line of longitude). In that case, this center is easily found by taking separately the medians of the population's latitude and longitude coordinates. John Tukey called this the cross median.[3]
Geometric median
The geometric median is the point to which the population has the smallest possible sum of distances (or equivalently, the smallest average distance). Because of this property, it is also known as the point of minimum aggregate travel. Unfortunately, there is no direct closed-form expression for the geometric median; it is typically computed using iterative methods.[citation needed]
Determination
In practical computation, decisions are also made on the granularity (coarseness) of the population data, depending on population density patterns or other factors. For instance, the center of population of all the cities in a country may be different from the center of population of all the states (or provinces, or other subdivisions) in the same country. Different methods may yield different results.
Practical uses for finding the center of population include locating possible sites for
, and, along the same lines, to make tax collection easier. Practical selection of a new site for a capital is a complex problem that depends also on population density patterns and transportation networks.World
It is important to use a method that does not depend on a two-dimensional projection when dealing with the entire world. In a study from the Institut national d'études démographiques,[4] the solution methodology deals only with the globe. As a result, the answer is independent of which map projection is used or where it is centered. As described above, the exact location of the center of population will depend on both the granularity of the population data used, and the distance metric. With geodesic distances as the metric, and a granularity of 1,000 kilometers (600 mi), meaning that two population centers within 1000 km of each other are treated as part of a larger common population center of intermediate location, the world's center of population is found to lie "at the crossroads between China, India, Pakistan and Tajikistan" with an average distance of 5,200 kilometers (3,200 mi) to all humans.[4] The data used in the reference support this result to a precision of only a few hundred kilometers, hence the exact location is not known.
Another analysis, using city-level population data, found that the world's center of population is close to Almaty, Kazakhstan.[5]
By country
Australia
Australia's population centroid is in central New South Wales. By 1996, it had moved only a little to the north-west since 1911.[6] It moved only 1.4 km North in 2022 from the previous year.[7]
Canada
In Canada, a 1986 study placed the point of minimum aggregate travel just north of Toronto in the city of Richmond Hill, and moving westward at a rate of approximately 2 metres per day.[8]
China
China's population centroid has wandered within southern Henan from 1952 to 2005. Incidentally, the two end point dates are remarkably close to each other.[9] China also plots its economic centroid or center of economy/GDP, which has also wandered, and is generally located at the eastern Henan borders.
Estonia
The center of population of Estonia was on the northwestern shore of
Finland
In Finland, the point of minimum aggregate travel is located in the former municipality of Hauho.[11] It is moving slightly to the south-west-west every year because people are moving out of the peripheral areas of northern and eastern Finland.
Germany
In Germany, the centroid of the population is located in Spangenberg, Hesse, close to Kassel.[12]
Great Britain
The centre of population in Great Britain did not move significantly in the 20th century. In 1901, it was in Rodsley, Derbyshire and in 1911 in Longford. In 1971 it was at Newhall, Swadlincote, South Derbyshire and in 2000, it was in Appleby Parva, Leicestershire.[13][14] Using the 2011 census the population center can be calculated at Snarestone, Swadlincote.[15]
Ireland
The center of population of the entire
Japan
The centroid of population of Japan is in
New Zealand
In June 2008, New Zealand's median center of population was located near Taharoa, around 100 km (65 mi) southwest of Hamilton on the North Island's west coast.[19] In 1900 it was near Nelson and has been moving steadily north (towards Auckland, the country's most populous city) ever since.[20]
Sweden
The
Russia
The center of population in the Russian Federation is calculated by A. K. Gogolev to be at 56°34′N 53°30′E / 56.567°N 53.500°E, 42 km (26 mi) south of Izhevsk.[22]
Taiwan
The center of population of Taiwan is located in Heping District, Taichung.[23]
United States
The mean center of the United States population (using the centroid definition) has been calculated for each
See also
Sources
- Bellone F. and Cunningham R. (1993). "All Roads Lead to... Laxton, Digby and Longford." Statistics Canada 1991 Census Short Articles Series.
References
- ^ Kumler, Mark P.; Goodchild, Michael F. (1992). "The population center of Canada – Just north of Toronto?!?". In Janelle, Donald G. (ed.). Geographical snapshots of North America: commemorating the 27th Congress of the International Geographical Union and Assembly. pp. 275–279.
- ^ "Centers of Population Computation for the United States, 1950-2010" (PDF). Washington, DC: Geography Division, U.S. Census Bureau. March 2011.
- ISBN 9780201076165.
- ^ ISSN 0184-7783.
- ^ "Center of World Population". City Extremes. 2017. Retrieved 21 August 2017.
- ^ "Figure 15: Shifts in the Australian Population Centroid*, 1911–1996". Parliament of Australia Parliamentary Library. Archived from the original on 19 August 2000. Retrieved 7 January 2009.
- ^ "Regional population". Australian Bureau of Statistics. 20 April 2023. Retrieved 20 April 2023.
- ^ "The Population Center of Canada – Just North of Toronto?!?" (PDF). Retrieved 21 April 2012.
- ^ http://sourcedb.igsnrr.cas.cn/zw/lw/201007/P020100706529106697457.pdf[bare URL PDF]
- ^ Haav, Mihkel (2010) - "Eesti dünaamika 1913-1999"
- ^ Uusirauma.fi[permanent dead link] Kaupunkilehti Uusi Rauma 03.08.2009 Päivän kysymys? Missä Rauman keskipiste? (in Finnish)
- ^ Dradio.de Archived 24 October 2007 at the Wayback Machine (in German)
- ^ "News Item". University of Leeds. Archived from the original on 3 October 2006. Retrieved 25 November 2007.
- ^ "Population Centre". Appleby Magna & Appleby Parva. Archived from the original on 23 November 2007. Retrieved 25 November 2007.
- ^ "Archived copy" (PDF). Archived from the original (PDF) on 23 July 2021. Retrieved 15 March 2020.
{{cite web}}
: CS1 maint: archived copy as title (link) - ^ "Population Centre of the island of Ireland [2100x2000] [OC]".
- ^ "Population Centre of Ireland".
- ^ "Our Country's Center of Population (我が国の人口重心)". Stat.go.jp. Retrieved 21 April 2012.
- ^ "Subnational Population Estimates: At 30 June 2008 -- Commentary". Statistics New Zealand. Retrieved 11 November 2014.
- ^ "Bridget Williams Books".
- ^ "Sweden's demographic centre, SCB.se, 2008-03-18". Scb.se. 18 March 2008. Archived from the original on 29 March 2012. Retrieved 21 April 2012.
- ^ Сайт "Встарь, или Как жили люди"
- ^ "Re: [人口地理] 臺灣人口重心分佈".