What Does a Static, Sustainable Economy Look Like?

I am not an economist. Come to think of it, I am not a lawyer either. But I would like to speculate a bit about what a static, sustainable economy might look like--or, at least, what conditions might have to be satisfied for such an economy to be realistic. On the presumption our present economy is heavily rooted in single-use packaging, replace not repair, and growing populations to drive markets, we might conclude our consumption of non-renewable resources will be decreasingly sustainable. It is already apparent the most "advanced" economies are consuming resources far above their nominal share based on population. For a long time, a growing population assured increased consumption and thus an increasing GDP.