FWIW, the Catholic Church has no position on continued population growth. Nothing in Catholic doctrine or discipline supports such an idea. In fact, the Catholic Church imposes a form of birth control on Catholics called Natural Family Planning (NFP). In addition to being the safest form of birth control, it is ALSO (by far) the most effective. And that’s not a claim that the Church makes, but a claim (supported by multiple scientific studies) from the World Health Organization and the US Center for Disease Control (CDC).
So, by imposing NFP upon the Faithful, the Catholic Church could be implicitly accused of suppressing population growth. The Church imposes the most effective means of avoiding conception known to modern science, short of surgical sterilization. The Church does not allow less effective artificial measures, such as birth control pills, condoms, or IUDs. So, yaaa for the Church!!!
But, for the sake of discussion, what are the arguments that population growth IS hazardous? Has God failed to provide the earth’s current population with enough food, water, and oxygen to survive? Are these finite resources, or have we continually found new ways to harvest them as the need arises?
Yes, there are places where survival is difficult. But that’s not God’s fault. God has provided an abundant earth. The Syrian refugees (to use a current event) are fleeing their own countrymen, their fellow Muslims, who have rendered their homes uninhabitable.
I grew up during the Carter-era “energy crisis.” Oil is a finite resource. Vehicles were queued up for blocks to get gasoline, and gas stations routinely ran dry. Today, gasoline is cheap. Natural gas is cheap. We discovered fracking technology, and oil is so abundant that many oil wells have closed because it is not cost effective to run them. And society is on the verge of oil independence. Petro-oil will someday (soon) become as uncommon as whale oil.
ECUADOR (could you find it on a map? without latitude lines?) has traditionally subsidized oil (mostly from Venezuela). They have announced a plan to cease subsidies by 2017 and become an electric society. Electric cars. Electric stoves and water heaters (bottled gas is common today in Ecuador). This is a developing economy that intends to stop importing oil in the foreseeable future.