I perfer low birth rate .
So do I, but as long as we even have but 1 % steady growth, the earth's population will double every 70 years.
People already alive would of course prefer a low birth rate rather than higher death rate, as death is the one that impacts them more directly.

From an economic standpoint, a low birth rate will not be good in that you will gradually end up with a higher proportion of elderly people, which becomes a burden on the younger people - higher taxes etc. It is a similar issue to increasing life expectancy. Both put burdens on the younger generations to support increasing proportion of elderly. It is why the UK's notion of trying to limit immigration to the 10's of thousands per year will likely be detrimental to the economy... because at the moment it simply doesn't have the young population required to support the older. Hence the reduction in immigration might well need to be accompanied by the eventual abolishment of any state pension entitlement, with government support on a means-tested basis. And that might just be the start. Or they continue to accept current levels of immigration (or more).
Furthermore, with a low birth rate you reduce the chances of innovation from new minds that might not otherwise have been born, innovations that might resolve the resource issues in the longer term.
Physical natural disaster would also unlikely to ever solve population issues: the 2004 tsunami that killed c.300,000 people: the world's population level recovered in just about 2 days.
So to put any significant dent in the population would require something quite extraordinary, which might also result in the resources becoming unavailable and so not resolving the issue at all.
Pathogens, disease, famine, they all might result in the population being cut, possibly massively, but even the latest Ebola outbreak only resulted in 11,000 deaths. Perhaps we are now too good at identifying and reacting to such outbreaks to allow the threat to become too bad.
Maybe it will be something pretty common that has simply become resistant to antibiotics that achieves it.
But with a 1% population growth, "natural disasters" would need to kill 75 million people a year, just to keep the population level steady. That's like the population of the U.K. + Sweden disappearing each year. Or 1 in 4 Americans.
And this is
above the usual death rate.