The Genuine Progress Indicator or GPI is an economic indicator made up of many societal revenues and expenditures. It's goal is to be a GDP like index, that takes into account things that GDP doesn't to give a more balanced picture of overall human development and progress. This post is about putting the calculating front and center, making it superfluous to dig through websites or PDF files to figure it out.
First we compute the Income Distribution Index, \(IDI\), from the Gini index, \(G\). The latest numbers the US Census Bureau has are from
2010, though they can be calculated, which this post won't go into. The 2010 precalculated Gini Index, \(G = 0.469\). The \(IDI\) is based on the 1968 Gini Index, \(G = 0.388\).
\[
IDI = \frac{G - 0.388}{0.388}*100
\]
We now take the total personal consumption, \(C_t\), weight it by \(IDI\), and
obtain the weighted personal consumption, \(C_w\).
\[
C_w = \frac{C_t*100}{IDI}
\]
Compute the value of non-economic activity, \(V_n\), summing the value of housework and parenting,\( v_h\), the value of education, \(v_e\), the value of volunteer work, \(v_v\), the services of consumer durables, \(s_c\) and the services of highways, \(s_h\).
\[
V_n = v_p + v_e + v_v + s_c + s_h
\]
Compute the costs of societal ills, \(C_s\), by taking the negative of the cost of crime, \(c_k\), subtracting the loss of leisure time, \(l_t\), subtracting the costs of under-employment, \(c_u\), subtracting the costs of consumer durables, \(c_d\), subtracting the costs of commuting, \(c_c\), subtracting the costs of household pollution, \(c_p\), costs of auto accidents, \(c_u\), costs of water pollution, \(c_w\), costs of air pollution, \(c_a\), costs of noise pollution, \(c_n\), loss of wetlands, \(l_w\), loss of farmland, \(l_f\), loss of primary forest, \(l_p\), resource depletion, \(r_d\), carbon emissions damage, \(e_c\), cost of ozone depletion, \(c_z\).
\[
C_s = -c_k-l_t-c_u-c_d-c_c-c_p-c_u-c_w-c_a-c_n-l_w-l_f-l_p-r_d-e_c-c_z
\]
Now compute the GPI by summing \(V_n\), \(C_s\), net capital investment, \(I_c\), and net foreign borrowing, \(F_b\).
\[
GPI = V_n + C_s + I_c + F_b
\]
The model takes into considering quite a few values, and there are extensions to creating models from the index to predict future index values. The GPI is correlated to a variety of public policy decisions, and is a useful stand alone model for drawing conclusions about a given economy.
If you would like to add LaTeX math rendering to your site or blog copy paste this HTML code to your webpage. It was a pretty neat find that made this post cool looking.
<script type="text/x-mathjax-config;executed=true">
MathJax.Hub.Config({
TeX: { equationNumbers: { autoNumber: "AMS" } }});
<script src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"">
</script>