Gini-Coefficient-Demonstration

							Demonstration of the Gini Coefficient
Compiled by: Contact: Email: URL: Dr. Jean-Paul Rodrigue Dept. of Economics & Geography, Hofstra University, Hempstead, NY, USA 11549 ecojpr@hofstra.edu http://people.hofstra.edu/geotrans/

10 Largest Airports of the World, 1997
Chicago Atlanta Los Angeles Dallas/Ft W. London Tokyo San Francisco Frankfurt Seoul Miami % of % of airports Cumulative % of (X) passengers ( σY) Passengers passengers (Y) 0.13991 0.13991 69,153,528 0.1 0.12723 0.26714 62,885,282 0.1 0.11729 0.38443 57,974,559 0.1 0.11600 0.50043 57,335,669 0.1 0.11274 0.61317 55,722,752 0.1 0.09428 0.70744 46,598,715 0.1 0.07801 0.78546 38,560,085 0.1 0.07708 0.86253 38,097,201 0.1 0.06968 0.93221 34,441,726 0.1 0.06779 1.00000 33,504,579 0.1 494,274,096 1 1 0.11317 ID = G13*0.5 0.13854 G = |1-J13|

Dissimilarity Index Gini's Concentration Ratio

10 Largest Airports of Canada, 1996
Toronto Vancouver Montreal(D/M) Calgary Edmonton Winnipeg Ottawa Halifax Victoria Quebec Passengers 22,669,189 13,090,057 8,533,798 6,662,242 2,896,578 2,830,044 2,763,420 2,462,256 879,367 640,304 63,427,255 % of % of airports Cumulative % of passengers (Y) (X) passengers ( σY) 0.35740 0.35740 0.1 0.56378 0.20638 0.1 0.69833 0.13454 0.1 0.80337 0.10504 0.1 0.84903 0.04567 0.1 0.89365 0.04462 0.1 0.93722 0.04357 0.1 0.97604 0.03882 0.1 0.98990 0.01386 0.1 1.00000 0.01010 0.1 1 1

Dissimilarity Index Gini's Concentration Ratio

0.40337 ID = G30*0.5 0.51375 G = |1-J30|

Cumulative % of airports (σX) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

|X-Y| 0.03991 0.02723 0.01729 0.01600 0.01274 0.00572 0.02199 0.02292 0.03032 0.03221 0.22633

σYi-1 + σYi (A) 0.13991 0.40705 0.65157 0.88486 1.11359 1.32061 1.49290 1.64799 1.79475 1.93221

σXi-1 – σXi (B) 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000

A*B 0.01399 0.04070 0.06516 0.08849 0.11136 0.13206 0.14929 0.16480 0.17947 0.19322 1.13854

Cumulative % of airports (σX) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

|X-Y| 0.25740 0.10638 0.03454 0.00504 0.05433 0.05538 0.05643 0.06118 0.08614 0.08990 0.80673

σYi-1 + σYi (A) 0.35740 0.92119 1.26211 1.50169 1.65240 1.74269 1.83087 1.91326 1.96595 1.98990

σXi-1 – σXi (B) 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000

A*B 0.03574 0.09212 0.12621 0.15017 0.16524 0.17427 0.18309 0.19133 0.19659 0.19899 1.51375

10 Largest Container Ports of the World, 2000
Hong Kong Singapore Busan Kaohsiung Rotterdam Shanghai Los Angeles Long Beach Hamburg Antwerp TEU 18,100,000 17,040,000 7,540,387 7,425,832 6,275,000 5,613,000 4,879,429 4,600,787 4,248,247 4,082,334 79,805,016 % of TEU (Y) 0.22680 0.21352 0.09449 0.09305 0.07863 0.07033 0.06114 0.05765 0.05323 0.05115 1 % of ports (X) 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 1 Cumulative % of TEUs ( σY) 0.22680 0.44032 0.53481 0.62786 0.70649 0.77682 0.83796 0.89561 0.94885 1.00000

Dissimilarity Index Gini's Concentration Ratio

0.24032 ID = G13*0.5 0.29910 G = |1-J13|

10 Largest Container Ports in North America, 2000
Los Angeles Long Beach New York / New Jersey San Juan Oakland Charleston Seattle Tacoma Hampton Roads Vancouver TEU 4,879,429 4,600,787 3,050,036 2,333,788 1,776,922 1,632,747 1,488,020 1,376,379 1,347,364 1,163,178 23,648,650 % of TEU (Y) 0.20633 0.19455 0.12897 0.09869 0.07514 0.06904 0.06292 0.05820 0.05697 0.04919 1 % of ports (X) 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 1 Cumulative % of TEUs ( σY) 0.20633 0.40088 0.52985 0.62854 0.70367 0.77272 0.83564 0.89384 0.95081 1.00000

Dissimilarity Index Gini's Concentration Ratio

0.22985 ID = G30*0.5 0.28446 G = |1-J30|

Cumulative % of ports (σX) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

|X-Y| 0.12680 0.11352 0.00551 0.00695 0.02137 0.02967 0.03886 0.04235 0.04677 0.04885 0.48065

σYi-1 + σYi (A) 0.22680 0.66713 0.97513 1.16267 1.33435 1.48331 1.61478 1.73358 1.84446 1.94885

σXi-1 – σXi (B) 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000

A*B 0.02268 0.06671 0.09751 0.11627 0.13343 0.14833 0.16148 0.17336 0.18445 0.19488 1.29910

Cumulative % of ports (σX) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

|X-Y| 0.10633 0.09455 0.02897 0.00131 0.02486 0.03096 0.03708 0.04180 0.04303 0.05081 0.45970

σYi-1 + σYi (A) 0.20633 0.60721 0.93073 1.15839 1.33221 1.47639 1.60836 1.72948 1.84465 1.95081

σXi-1 – σXi (B) 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000 0.10000

A*B 0.02063 0.06072 0.09307 0.11584 0.13322 0.14764 0.16084 0.17295 0.18447 0.19508 1.28446