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Gravity Distances

Ratio of arithmetic over harmonic distances in 2000.

Ratio of arithmetic over harmonic distances in 2000.

Gravity-consistent aggregate distances (harmonic, geometric and arithmetic mean) between countries and other geographical entities computed using nighttime lights data as weights. In most applications the use of the harmonic mean distance (theta = -1) is recommended. Similarly, often time-invariant distances are sufficient, e.g. those with weight from the year 2000.

Entities Years File Size
Countries to countries 2000 distances_countries-countries_2000.rds 801 KB
distances_countries-countries_2000.csvy.gz 1.3 MB
distances_countries-countries_2000.dta.gz 1 MB
1992 – 2012 distances_countries-countries_1992-2012.rds 16.7 MB
distances_countries-countries_1992-2012.csvy.gz 26.7 MB
distances_countries-countries_1992-2012.dta.gz 21.4 MB
EU NUTS 2 regions to EU NUTS 2 regions 2000 distances_eu_nuts2-eu_nuts2_2000.rds 2.5 MB
distances_eu_nuts2-eu_nuts2_2000.csvy.gz 3.9 MB
distances_eu_nuts2-eu_nuts2_2000.dta.gz 3.2 MB
EU NUTS 3 regions to EU NUTS 3 regions 2000 distances_eu_nuts3-eu_nuts3_2000.rds 55.7 MB
distances_eu_nuts3-eu_nuts3_2000.csvy.gz 77.4 MB
distances_eu_nuts3-eu_nuts3_2000.dta.gz 65.1 MB
US states to US states 2000 distances_usstates-usstates_2000.rds 42 KB
distances_usstates-usstates_2000.csvy.gz 87 KB
distances_usstates-usstates_2000.dta.gz 71 KB
1992 – 2012 distances_usstates-usstates_1992-2012.rds 1.2 MB
distances_usstates-usstates_1992-2012.csvy.gz 1.7 MB
distances_usstates-usstates_1992-2012.dta.gz 1.6 MB
US states to countries 2000 distances_usstates-countries_2000.rds 419 KB
distances_usstates-countries_2000.csvy.gz 669 KB
distances_usstates-countries_2000.dta.gz 543 KB
1992 – 2012 distances_usstates-countries_1992-2012.rds 8.7 MB
distances_usstates-countries_1992-2012.csvy.gz 12.5 MB
distances_usstates-countries_1992-2012.dta.gz 11.4 MB
US states to Canadian provinces 2000 distances_usstates-canprovinces_2000.rds 19 KB
distances_usstates-canprovinces_2000.csvy.gz 42 KB
distances_usstates-canprovinces_2000.dta.gz 35 KB
1992 – 2012 distances_usstates-canprovinces_1992-2012.rds 612 KB
distances_usstates-canprovinces_1992-2012.csvy.gz 887 KB
distances_usstates-canprovinces_1992-2012.dta.gz 808 KB
Canadian provinces to Canadian provinces 2000 distances_canprovinces-canprovinces_2000.rds 3 KB
distances_canprovinces-canprovinces_2000.csvy.gz 5 KB
distances_canprovinces-canprovinces_2000.dta.gz 4 KB
1992 – 2012 distances_canprovinces-canprovinces_1992-2012.rds 60 KB
distances_canprovinces-canprovinces_1992-2012.csvy.gz 111 KB
distances_canprovinces-canprovinces_1992-2012.dta.gz 101 KB
Canadian provinces to countries 2000 distances_canprovinces-countries_2000.rds 96 KB
distances_canprovinces-countries_2000.csvy.gz 169 KB
distances_canprovinces-countries_2000.dta.gz 137 KB
1992 – 2012 distances_canprovinces-countries_1992-2012.rds 2.2 MB
distances_canprovinces-countries_1992-2012.csvy.gz 3.2 MB
distances_canprovinces-countries_1992-2012.dta.gz 2.9 MB
Norwegian municipalities to 2011 distances_norway_municipalities_gpwv4_2011.rds 4 MB
Norwegian municipalities (kommuner) distances_norway_municipalities_gpwv4_2011.csvy.gz 5.9 MB
distances_norway_municipalities_gpwv4_2011.dta.gz 5 MB

Note that EU NUTS regions include those of candidate countries as well as of the UK. US states include Washington, DC and Puerto Rico.

For more detailed data with thetas ranging from -2 to +1 the use of the R package gravity.distances is recommended.

If you need gravity distances between geographic entities not listed above that could also be of interest to other researchers, please send me an e-mail. Maybe we can work something out: mail@julianhinz.com

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Last updated on August 5, 2021. © Julian Hinz 1987–2021.