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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