Not enough British jobs for too many British people?

I had a thought yesterday, perhaps unfortunately whilst drinking a bottle of wine watching television, it had passed through my mind earlier in the day but it had just not quite manifested itself.

So, we are in a recession, jobs are being cut and the number of unemployed are increasing. So the obvious problem is that there aren't enough jobs although as the economic cycle comes around 180 degrees the problem will sort itself out. I do agree with that, boom follows recession but even then we will still have a huge number unemployed even when statistics call unemployment 'low'. So, how about a theory that we have enough jobs, but too many people? 

This is just a passing thought that metaphorically speaking is drawn on the back of a fag packet, but looking at the huge explosions of population in countries when they developed - the UK since the Industrial Revolution, China from the late 1900s - not only from an environmental point of view (finite resources, expanding population etc) but is it possible to create enough jobs for the amount of people in the world?!

Pure theory, but I would presume that an extra 'person' in the world, does not directly correlate to an additional 'person' in employment... so an increase in population does not create an equally large increase in employment and therefore a decrease in population would have proportionally smaller decrease in the number of available jobs.

Before posting, I did a quick Google search... a few short, but notable articles are linked for your reference:

How Can the World Create Enough Jobs for Everyone?

The Old Saga of Not Enough Jobs

Rapid Population Growth