Limits to Growth: Is environmental collapse by 2030 a likely scenerio? According to a simulation from 1972, the results of which were published in 'The Limits to Growth' environmental collapse is due mid 21st century. The Guardian reports that Dr. Graham Turner reran the simulations using recent data and the collapse is actually due sooner. Here is the referred paper by Dr. Graham Turner:
Quoting from his profile by the Guardian:

Dr. Graham Turner is principal research fellow at the University of Melbourne's Melbourne Sustainable Society Institute. He has a background in applied physics and his current work involves whole-of-system analysis on the long-term physical sustainability of the environment and economy.

As economists do you think Dr. Turner is right?
We know one core element of the Guardian article is nonsense - the discussion of Peak Oil.

The Peak Oil lament, fashionable a decade ago, was that we didn't have enough oil, and that was going to become a major problem very soon.

However, we know from climate science that the reverse is true - we have far too much fossil fuel reserves (disclosure - that's a paper by my colleagues). Our challenge isn't that we won't extract enough to continue economic growth - it's that we'll extract too much and cause a major environmental collapse. Turner's report makes a significant show about the age of cheap and easy oil being over (pp 11,12) - and that's a prediction that was made to look very silly, quickly, as the report's publication in August 2014 happened just as the 18-month oil-price crash caused by huge global over-supply was beginning.

Is environmental collapse possible? Yes.

Are we causing huge ongoing damage to the environment? Yes.

Were all of the significant predictions of the Club of Rome correct? No. Not only has geometric population growth stopped, but even arithmetic growth is in decline - and the growth wasn't capped by disaster, but by better healthcare, better access to contraception, and more education and emancipation of women. Food production per capita has way exceeded predictions. And the renewable alternatives to fossil-fuel energy are already economic and scalable for static applications, and becoming so for transport too.

Are we still on a trajectory of yesterday's brown economy, that will require a trajectory change if we are to avoid environmental collapse?
Yes.
Do we have enough evidence to say that the date for that collapse is 2030?
No.
Do we have the technical means to transition to a modern, clean economy and avoid that collapse?
Yes.