[1] http://www.sowetanlive.co.za/news/2012/05/25/misuse-of-socia...
[2] http://www.iol.co.za/news/south-africa/grants-used-to-suppor...
[3] http://www.parent24.com/Baby/Toddler_1-2/care_nutrition/The-...
Whether society subsidises it or not people are going to continue procreating, many irresponsibly (don't have financial ability to support their children). However are you arguing then that these children who happen to be born into poverty should then be left in it without government/societal help?
First of all, UBI should ideally be enough to eliminate poverty. Parents might have to make some sacrifices to take care of the children (forgoing personal luxuries or taking a low wage job). Once the child is of age, they would receive their own basic income so there wouldn't necessarily be a cycle of poverty.
Moreover, we should incentivize child transfers by subsidizing adoption.
If they're so irresponsible, why would giving them more money necessarily help the children to live a better quality of life?
Many of the social benefits a working Western society wants depends upon a growing population, like social security.
To be clear, they depend on a growing labor force.
However, the whole reason to investigate UBI is that we're likely nearing a future where labor is not a dominant factor of production. It seems unlikely that we'll have full employment in the future, particularly if there's UBI.
In an economy where labor is not a necessary constraint or driver of production, it seems entirely unclear why having a growing population (without a growing labor force) would be beneficial.
Not to mention that for the forceable future there are plenty of countries desperate to export excess populations. If you need to increase the population, there's no need to subsidize it.
Sure, but only in the sense that they're the ones who will be living it. Fewer children doesn't mean society won't have a future. It just means they'll each have more resources.
The world is not at risk of underpopulation. If that were actually a serious concern, we could take measures to mitigate it but all evidence points to there being plenty of people in the world already. Some wealthy countries might have declining populations, but there are plenty of countries with overpopulation to offset that.
Edit: the point being that children are the ones who suffer most from poverty, and investing in them has the most long term potential. But of course we don't want people to have kids just for the money, hence the difficulty.