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Center of population

May 17, 2023

"Population centre" redirects here. For the Canadian census geographic unit, see Census geographic units of Canada § Population centres.

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]

For representational purposes only: The point on earth closest to everyone in the world on average was calculated to be in Central Asia, with a mean distance of 5,000 kilometers (3,000 mi). Its antipodal point is correspondingly the farthest point from everyone on earth, and is located in the South Pacific near Easter Island, with a mean distance of 15,000 kilometers (9,300 mi). The data used by this figure is lumped at the country level, and is therefore precise only to country-scale distances, larger nations heavily skewed. Far more granular data -- kilometer level, is now available -- and compares with this old "textbook" example.

Definitions

Three commonly used (but different) center points are:

  1. the mean center, also known as the centroid or center of gravity;
  2. the median center, which is the intersection of the median longitude and median latitude;
  3. 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 US Census Bureau uses.

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 forward capitals, such as Brasília, Nur-Sultan or Austin, 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 where South Asia meets Central Asia[5] 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 utilising city level population data found that the world's center of population is located close to Almaty, Kazakhstan.[6]

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. [7] It moved only 1.4km North in 2022 from the previous year. [8]

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.[9]

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.[10] 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

 
European Countries median center of population in 2011

The center of population of Estonia was on the northwestern shore of Lake Võrtsjärv in 1913 and moved an average of 6 km northwest with every decade until the 1970s. The higher immigration rates during the late Soviet occupation to mostly Tallinn and Northeastern Estonia resulted the center of population moving faster towards north and continuing urbanization has seen it move northwest towards Tallinn since the 1990s. The center of population according to the 2011 census was in Jüri, just 6 km southeast from the border of Tallinn.[11]

Finland

In Finland, the point of minimum aggregate travel is located in the former municipality of Hauho.[12] 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.[13]

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.[14][15] Using the 2011 census the population center can be calculated at Snarestone, Swadlincote.[16]

Ireland

The center of population of the entire island of Ireland is located near Kilcock, County Kildare. This is significantly further east than the Geographical centre of Ireland, reflecting the disproportionately large cities of the east of the island (Belfast and Dublin).[17] The center of population of the Republic of Ireland is located southwest of Edenderry, County Offaly.[18]

Japan

The centroid of population of Japan is in Gifu Prefecture, almost directly north of Nagoya city, and has been moving east-southeast for the past few decades.[19] More recently,[when?] the only large regions in Japan with significant population growth have been in Greater Nagoya and Greater Tokyo.

New Zealand

 
New Zealand's median center of population over time

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.[20] In 1900 it was near Nelson and has been moving steadily north (towards Auckland, the country's most populous city) ever since.[21]

Sweden

The demographical center of Sweden (using the median center definition) is Hjortkvarn in Hallsberg Municipality, Örebro county. Between the 1989 and 2007 census the point moved a few kilometres to the south, due to a decreasing population in northern Sweden and immigration to the south.[22]

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 / 56.567; 53.500, 42 km (26 mi) south of Izhevsk.[23]

Taiwan

The center of population of Taiwan is located in Heping District, Taichung.[24]

United States

See also: Mean center of the United States population and Median center of United States population

The mean center of the United States population (using the centroid definition) has been calculated for each U.S. Census since 1790. Over the last two centuries, it has progressed westward and, since 1930, southwesterly, reflecting population drift. For example, in 2010, the mean center was located near Plato, Missouri, in the south-central part of the state, whereas, in 1790, it was in Kent County, Maryland, 47 miles (76 km) east-northeast of the future federal capital, Washington, D.C.

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

  1. ^ 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.
  2. ^ "Centers of Population Computation for the United States, 1950-2010" (PDF). Washington, DC: Geography Division, U.S. Census Bureau. March 2011.
  3. ^ Tukey, John (1977). Exploratory Data Analysis. Addison-Wesley. p. 668. ISBN 9780201076165.
  4. ^ a b Claude Grasland and Malika Madelin (May 2001). "The unequal distribution of population and wealth in the world" (PDF). Population et SociétéS. Institut national d'études démographiques. 368: 1–4. ISSN 0184-7783.
  5. ^ exact phrase in the paper is "at the crossroads between China, India, Pakistan and Tajikistan"
  6. ^ "Center of World Population". City Extremes. 2017. Retrieved 21 August 2017.
  7. ^ . Parliament of Australia Parliamentary Library. Archived from the original on 19 August 2000. Retrieved 7 January 2009.
  8. ^ "Regional population". Australian Bureau of Statistics. 20 April 2023. Retrieved 20 April 2023.
  9. ^ "The Population Center of Canada – Just North of Toronto?!?" (PDF). Retrieved 21 April 2012.
  10. ^ http://sourcedb.igsnrr.cas.cn/zw/lw/201007/P020100706529106697457.pdf[bare URL PDF]
  11. ^ Haav, Mihkel (2010) - "Eesti dünaamika 1913-1999"
  12. ^ Uusirauma.fi[permanent dead link] Kaupunkilehti Uusi Rauma 03.08.2009 Päivän kysymys? Missä Rauman keskipiste? (in Finnish)
  13. ^ Dradio.de 24 October 2007 at the Wayback Machine (in German)
  14. ^ . University of Leeds. Archived from the original on 3 October 2006. Retrieved 25 November 2007.
  15. ^ . Appleby Magna & Appleby Parva. Archived from the original on 23 November 2007. Retrieved 25 November 2007.
  16. ^ (PDF). Archived from the original (PDF) on 23 July 2021. Retrieved 15 March 2020.{{cite web}}: CS1 maint: archived copy as title (link)
  17. ^ "Population Centre of the island of Ireland [2100x2000] [OC]".
  18. ^ "Population Centre of Ireland".
  19. ^ "Our Country's Center of Population (我が国の人口重心)". Stat.go.jp. Retrieved 21 April 2012.
  20. ^ "Subnational Population Estimates: At 30 June 2008 -- Commentary". Statistics New Zealand. Retrieved 11 November 2014.
  21. ^ "Bridget Williams Books".
  22. ^ . Scb.se. 18 March 2008. Archived from the original on 29 March 2012. Retrieved 21 April 2012.
  23. ^ Сайт "Встарь, или Как жили люди"
  24. ^ "Re: [人口地理] 臺灣人口重心分佈".

External links

  • .
  • U.S. Census Bureau: Centers of Population

May 17, 2023
center, population, population, centre, redirects, here, canadian, census, geographic, unit, census, geographic, units, canada, population, centres, demographics, center, population, population, center, region, geographical, point, that, describes, centerpoint. Population centre redirects here For the Canadian census geographic unit see Census geographic units of Canada Population centres 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 For representational purposes only The point on earth closest to everyone in the world on average was calculated to be in Central Asia with a mean distance of 5 000 kilometers 3 000 mi Its antipodal point is correspondingly the farthest point from everyone on earth and is located in the South Pacific near Easter Island with a mean distance of 15 000 kilometers 9 300 mi The data used by this figure is lumped at the country level and is therefore precise only to country scale distances larger nations heavily skewed Far more granular data kilometer level is now available and compares with this old textbook example Contents 1 Definitions 1 1 Mean center 1 2 Median center 1 3 Geometric median 2 Determination 3 World 4 By country 4 1 Australia 4 2 Canada 4 3 China 4 4 Estonia 4 5 Finland 4 6 Germany 4 7 Great Britain 4 8 Ireland 4 9 Japan 4 10 New Zealand 4 11 Sweden 4 12 Russia 4 13 Taiwan 4 14 United States 5 See also 6 Sources 7 References 8 External linksDefinitions EditThree commonly used but different center points are the mean center also known as the centroid or 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 Edit 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 US Census Bureau uses 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 Edit 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 Edit 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 EditIn 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 forward capitals such as Brasilia Nur Sultan or Austin 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 EditIt 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 etudes demographiques 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 where South Asia meets Central Asia 5 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 utilising city level population data found that the world s center of population is located close to Almaty Kazakhstan 6 By country EditAustralia Edit Australia s population centroid is in central New South Wales By 1996 it had moved only a little to the north west since 1911 7 It moved only 1 4km North in 2022 from the previous year 8 Canada Edit 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 9 China Edit 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 10 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 Edit European Countries median center of population in 2011 The center of population of Estonia was on the northwestern shore of Lake Vortsjarv in 1913 and moved an average of 6 km northwest with every decade until the 1970s The higher immigration rates during the late Soviet occupation to mostly Tallinn and Northeastern Estonia resulted the center of population moving faster towards north and continuing urbanization has seen it move northwest towards Tallinn since the 1990s The center of population according to the 2011 census was in Juri just 6 km southeast from the border of Tallinn 11 Finland Edit In Finland the point of minimum aggregate travel is located in the former municipality of Hauho 12 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 Edit In Germany the centroid of the population is located in Spangenberg Hesse close to Kassel 13 Great Britain Edit 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 14 15 Using the 2011 census the population center can be calculated at Snarestone Swadlincote 16 Ireland Edit The center of population of the entire island of Ireland is located near Kilcock County Kildare This is significantly further east than the Geographical centre of Ireland reflecting the disproportionately large cities of the east of the island Belfast and Dublin 17 The center of population of the Republic of Ireland is located southwest of Edenderry County Offaly 18 Japan Edit The centroid of population of Japan is in Gifu Prefecture almost directly north of Nagoya city and has been moving east southeast for the past few decades 19 More recently when the only large regions in Japan with significant population growth have been in Greater Nagoya and Greater Tokyo New Zealand Edit New Zealand s median center of population over time 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 20 In 1900 it was near Nelson and has been moving steadily north towards Auckland the country s most populous city ever since 21 Sweden Edit The demographical center of Sweden using the median center definition is Hjortkvarn in Hallsberg Municipality Orebro county Between the 1989 and 2007 census the point moved a few kilometres to the south due to a decreasing population in northern Sweden and immigration to the south 22 Russia Edit 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 56 567 53 500 42 km 26 mi south of Izhevsk 23 Taiwan Edit The center of population of Taiwan is located in Heping District Taichung 24 United States Edit See also Mean center of the United States population and Median center of United States population The mean center of the United States population using the centroid definition has been calculated for each U S Census since 1790 Over the last two centuries it has progressed westward and since 1930 southwesterly reflecting population drift For example in 2010 the mean center was located near Plato Missouri in the south central part of the state whereas in 1790 it was in Kent County Maryland 47 miles 76 km east northeast of the future federal capital Washington D C See also EditExtremes on EarthSources EditBellone F and Cunningham R 1993 All Roads Lead to Laxton Digby and Longford Statistics Canada 1991 Census Short Articles Series References Edit 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 Tukey John 1977 Exploratory Data Analysis Addison Wesley p 668 ISBN 9780201076165 a b Claude Grasland and Malika Madelin May 2001 The unequal distribution of population and wealth in the world PDF Population et SocieteS Institut national d etudes demographiques 368 1 4 ISSN 0184 7783 exact phrase in the paper is at the crossroads between China India Pakistan and Tajikistan 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 dunaamika 1913 1999 Uusirauma fi permanent dead link Kaupunkilehti Uusi Rauma 03 08 2009 Paivan kysymys Missa 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 amp 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 a href Template Cite web html title Template Cite web cite web a 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 Sajt Vstar ili Kak zhili lyudi Re 人口地理 臺灣人口重心分佈 External links EditAustralian parliamentary research paper with map of population centroids U S Census Bureau Centers of Population Retrieved from https en wikipedia org w index php title Center of population amp oldid 1152078901, wikipedia, wiki, book, books, library,

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