I suggest you read this Wikipedia article: http://en.wikipedia.org/wiki/Ecological_economics
The impetus is on the claimant to show how their models are "better". From the link above, it sounds more like a religion or cult than as a science " ecological economics is defined by its focus on nature, justice, and time" . Economics is supposed to be descriptive, not prescriptive or ideological. What financial crises/trends did these ecological economists predict to claim that their methodology is better?
I also don't claim that the entire Wikipedia article is useful, I just wanted to expose you to some of the ways economists are using biological system (ecology) to model an economy.
ha!
In seriousness though, economics is a biological system. If anyone says otherwise, they are fool.