In response to these shortcomings, the United Nations Human Development Program created the Human Development Index. Instead of ranking countries by GDP alone, it added life expectancy as a measure of health and years of schooling as a measure of education. The Human Development Reports going back to 1990 are available here. This was a useful step, but there was controversy over how to combine and to weight these different characteristics. Moreover, while the Human Development Index offered a snapshot of comparisons across a single year, it didn't address in an direct way whether the country was on a sustainable trajectory. It also had nothing to say about the environment.
Now the United Nations has taken another stab at developing a broader measure of economic performance, this one focused on sustainability. It appears as the Inclusive Wealth Report 2012, and is apparently intended to be an ongoing report in the future. The effort was led by Partha Dasgupta, who long ago in graduate school taught me pretty much everything I know about the details of welfare economics. The report seeks to construct an inclusive measure of total wealth. For this first report, the emphasis is on three categories: the total value of human capital, produced capital, and natural capital. (There are also supplementary calculations to expand these measures to consider technological productivity, carbon damages, and capital gains on oil reserves.) The notion is that a sustainable economy will be increasing its total wealth over time--which allows for the possibility that gains in human capital or produced capital would offset declines in natural capital.
For detail on how these numbers are constructed, you can look at the report and the supporting working papers. Here, I'll just say that human capital wealth is based on a mixture of statistics on mortality, employment, education, pay, divided by age and gender. Produced capital is based on levels of investment, depreciation, the lifetime of assets, output growth, and productivity. Natural capital looks at statistics and prices related to on fossil fuels, minerals, forests, agricultural land, and fisheries. These measures of wealth are compiled for 20 countries from 1990-2008.
Here's a figure showing the calculations for the United States. The rising top line shows the growth in physical capital wealth over time. The bottom declining line shows the drop in natural capital wealth. The blue-gray line in the middle shows the rise in human capital over time. The green line combines these into an overall Inclusive Wealth Index. The rising level of the inclusive wealth index implies that U.S. economic growth is sustainable, in the sense that the country's stock of wealth is rising.
Compared to other advanced economies, the U.S. economy has a relatively high dependence on natural wealth and on human capital. Here's a graph for 2009. Compared to Norway, with its oil reserves, the U.S. economy relies less on natural capital. But relies more on natural capital than Japan, France, or the United Kingdom. The U.S. relies less on human capital than does the UK, but more than the other comparison countries here, which tend to rely more on physical capital.
Here is a figure showing the comparison for 1980-2009 for each of the 20 countries. For each country, the first bar combines annual growth rates for natural capital, human capital, and produced capital, as shown in the bar chart. The second bar for each country then shows the Inclusive Wealth Index. Among the top five countries on inclusive wealth, the growth of China, India, and Chile were primarily driven by a rise in produced capital, while the growth of Germany and France were primarily driven by a arise in human capital. The countries at the other end are largely resource exporters, and the decline in the value of their natural capital over time is not being offset by rises in human or produced capital.
The authors of this first Inclusive Wealth Index would be the first to say that the measures will need to develop and evolve over time. Rather than pick nits with the index, I'll just say that when it comes to economic statistics, I'm a believer that "more is better." Reality is multidimensional, and additional statistics are often useful for highlighting particular dimensions that I had not considered sufficiently.