This page is designed to support ISA Technical Study 31. It is designed for the use of stakeholders as a convenient resource for documentation relating to the issue of equitable sharing of financial and other economic benefits from deep seabed mining, as well as a graphical interface for the model of financial payouts from a future deep seabed mining royalty fund.
This model is designed to support ISA Technical Study 31 on Equitable Sharing of Financial and Other Economic Benefits from DeepSeabed Mining. That report presents and evaluates three alternative formulae for fair and equitable allocation of a notional sum of royalties available for distribution. The model should be used in conjunction with the report, which discusses in detail the formulae used. Annex 10 of Technical Study 31 also contains a detailed user manual for this model.
In this model, the three alternative formulae are named as follows:
For comparison purposes, the model also outputs the results of distributions using unweighted populations shares, equal division and equal population weights. These are not presented as a basis for equitable distribution, but simply as a point of comparison.
The tab Country_comparison is the primary product. It asks for a few basic model parameter (in the orange boxes) which are prefilled with default options listed in the report.
The user chooses:
The model output:
All calculations are based on 5year averages, 20152019, of population and GNI data unless otherwise noted. The data are also available from the World Bank, United Nations, and other sources.
Region Group  Population  Percent of total Population  GNI per capita  w_{i} = [G N l / G N l_{i}]^{n}  Least Developed Country (LDC)?  Land locked Developing Country (LLDC)? 

EEG  28,70,166  0.04%  $4,790  3.1143  No  No 
Member state outcomes  Group outcomes  

Share formula  Share 
Payout
(In U.S. dollars) 
Payout per capita
(In U.S. dollars) 
Gini coefficient
(Smaller values suggest more equal distribution) 
Atkinson inequality index
(Smaller values suggest more equal distribution) 
Share histogram
(Visualization of the statelevel distribution of payouts) 

Proposed distribution functional forms 

Original functional form 

0.0000  $1,0000  $0.000  0.000  0.0000 


Original form with floor and ceiling 

0.0000%  $1,37,665  $0.0000  0.0000  0.0000 


Geometric mean functional form 

0.0000%  $1,37,665  $0.0000  0.0000  0.0000 


Comparison basic forms 
Unweighted population share 

0.0000%  $1,37,665  $0.0000  0.0000  0.0000 


Equal division 

0.0000%  $1,37,665  $0.0000  0.0000  0.0000d 


Equal population weights 

0.0000%  $1,37,665  $0.0000  0.0000  0.0000 

The equity assessments in this analysis  Gini coefficients, Atkinson inequality indices, and Lorenz curves, are expost equity between member states and not individuals. Distribution form Equal division between member states results in highly unequal division at the individual level, while Unweighted population share is the most equitable to individuals but unequal between states. Alternatives to Equal division and Unweighted population share are essentially compromises between these options.
At the state level, distributions forms Equal division, Geometric mean, and Equal populations dominate other measures (in that order when η≥1).
The crossing of Lorenz curves for distribution forms Unweighted population share, Original form, and Original with floor and ceiling suggests that no statelevel dominant strategy can be chosen from among these three options.
Elasticity of marginal utility of consumption (usually = 1). A higher value makes the social distribution weight formula ex ante more progressive in income.
Minimum payout share (model based on floor of 0.001%).
Maximum payout share (model based on ceiling of 22% but maximum ISA share is 16.31% as of 2021).
Hypothetical total expected annual payout.
Atkinson inequality parameter (usually = 1). A higher value results in greater Atkinson index sensitivty to inequality.
Gini and Atkinson coefficients range from 0 (perfect equity) to 1 (no equity). The closer the coefficients are to 0, the greater the level of equity and conversely. Similarly, a Lorenz curve closer to the diagonal line of equality suggests greater equity, and conversely less equity is suggested by lines further away.