It is usually advised that in case your man is starting to neglect the relationship or he is starting to take you for granted, then instead of being close to him, you should give him aome space - by this way, he will recognize what's happening. Yes, this advice is often true. This article gives some reasons to prove this:
Guys like to chase and hunt.
If a guy believes that he has already "snagged" his prize catch, then the chase is over and there's no reason for him to be up on his toes. He becomes complacent knowing that he doesn't have to work as hard anymore. Giving him space would spark him to hunting-mode once again, so let him chase you once more.
They can't stand the threat of competition.
Giving him some space means giving you the time for yourself, too. If you make yourself busy with other things - a new hobby, gym class, dance lessons, etc. - and you become more socially exposed, he would find the need to stop being too smug in the relationship.
They appreciate the sense of freedom.
Men, in general, don't like the feeling of being tied on a leash, especially if the leash is way too short for comfort. Who does, anyway? Giving him some space to be with the boys and letting him just unwind for a while lets him feel that you trust him.
They need time to solve things on their own.
While many women want to discuss problems, men often want to delve into them. They would rather retreat into their own world and figure out what to do, than talk about them.
They talk inside their heads.
Men are not as open as women in expressing emotions. They keep things inside. Society has taught them not to cry and to be tough. This can be hard. So, yes, giving a man some space allows him room for his own feelings.
They don't realize what's missing until it's not there.
Think of it this way: you ignore the picture frame because it's always been there, but you notice it instantly once someone takes it down. In the same way, if you give a man some space, if you keep out of sight for a while, he will realize what he's missing.
... giving men space allows them to see something very important: they will only give up their freedom for a woman they are not willing to give up.