Burden Sharing in Support of the United Nations
Appendix A


Two sets of data have been used, one based on national GDP values converted into 1985 US$ by using PPP conversion factors. These data are taken from PENN TABLES. This set includes 176 countries. The (prefix) notation FN denotes the use of these data.

The second set is based on GNP values converted into 1993 US$ by using market exchange rates. There are 146 or 147 countries included in this set. The burden sharing calculations based on these data are prefixed by notation TX.

Notations:

Y = GDP, GNP

T = assessment

N: population, million n: number of countries

FN..(PPP, GDP), millions of 1985 US$: n = 176

TX..(MER, GNP), millions of 1993 US$: n = 146, 147

FN..P: per capita, 1985 US$

TX..P: per capita, 1993 US$

PGDP: per capita GDP

PGNP: per capita GNP

S.D.: standard deviation

C.V.: coefficient of variation

Min : minimum

Max : maximum

Rule 1 and Rule 2

FN01: By national shares of world GDP


Results:

Total assessment = $ 1500 mill

Average flat rate = 0.00655%

Mean contribution per country = $ 8.538 mill

S.D $29.236

C.V. 3.42

Min - Max 0.015 (St. Kitts) - 315.9 (USA)

FN02: Proportional to normalized size of per capita GDP


Results

Total assessment = $ 1500 mill

Average flat rate = 0.00654%

Mean contribution per country = $ 8.523 mill

S.D $ 8.728

C.V. 1.024

Min - Max 0.554 (Zaire) - 34.5 (USA)

Rule 2.1 and Rule 3

FN12: Average of FN01 and FN02

(FN01+FN02)/2

Results

Total assessment = $ 1500 mill

Average flat rate = 0.00655%

Mean contribution per country = $ 8.531 mill

S.D $16.675

C.V. 1.955

Min - Max 0.427 (Chad) - 175.2 (USA)

FN03: By combination of normalized GDP share and normalized per capita GDP. That is,

where and

,.

Results

Total assessment = $ 1500 mill

Average flat rate = 0.00654%

Mean contribution per country = $ 8.523 mill

S.D $11.061

C.V. 1.298

Min - Max 0.577 (Chad) - 99.2 (USA)

(1) FN03i = 0.0053*PGDPi0.897*SGDWi0.1235

(2) FN03i = 0.0014*PGDPi + 3.447*SGDWi

(3) FN03i = 2.1283 + 0.00056*PGDPi + 0.87*10-7*PGDPi2

(4) FN03Si = 0.1419 + 0.000037*PGDPi + 0.58*10-8*PGDPi2

Rule 4

FN04, TX04:

Assumptions

Ti/Ni = 1.45 Yi/Ni = 24740 USA

Ti/Ni = 0.0021 Yi/Ni = 210 minimum

Ti/Ni = 137 * 10-8 (Yi/Ni)1.3714

Results: TX04

Total assessment = $ 1217.9 mill

Mean per capita burden = 0.274

Mean contribution per country = $ 8.342 mill

S.D $39.06

C.V. 4.68

Min - Max 0.0025 (Guinea-Bissau) - 374.3 (USA)

Rule 5

FN05, TX05:

Assumptions

Ti/Ni = 1.45 Yi/Ni = 24740 USA

Ti/Ni = 0.01 Yi/Ni = 1000 median

Ti/Ni = 0.0021 Yi/Ni = 210 minimum

Ti/Ni = 7158 * 10-7 (Yi/Ni)- 0.4168 exp[0.1156 * {ln(Yi/Ni)}2].

Results: TX05

Total assessment = $ 1173.5

Mean per capita burden = 0.251

Mean contribution per country = $ 8.038 mill

S.D $40.53

C.V. 5.04

Min - Max 0.0023 (Guinea-Bissau) - 373.98 (USA)

Rule 6

FN06, TX06:

Assumptions

Ti/Ni = 1.45 Yi/Ni = 24740 USA

Ti/Ni = 0.02 Yi/Ni = 1000 median

Ti/Ni = 0.0021 Yi/Ni = 210 minimum

Ti/Ni = 4 * 10-7 (Yi/Ni)1.72457 exp[-0.02288 * {ln(Yi/Ni)}2].

Results: TX06

Total assessment = $ 1231.9

Mean per capita burden = 0.281

Mean contribution per country = $ 8.438 mill

S.D $38.83

C.V. 4.60

Min - Max 0.0026 (Guinea-Bissau) - 374.4 (USA)

(graphs for appa)


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This file last modified 11/24/2008