Not a great idea, because you are not allowing your diaphragm to descend fully & so cannot take a full, natural breath.
This can lead to low level anxiety and I wouldn't be surprised if it is affecting your digestion.
Watch babies breathe. Their bellies move up & down, not their chests.
This a is a really bad habit, especially for women. Often we have been taught to hold in our bellies & tuck in our pelvis. Fine for a short military display or abdominal exercise (like planks), but really dmamaging damaging as a long-term habit, since it can lead to pelvic floor prolapse in women.
Here's a good book that may be helpful (written by one of my teachers):
http://www.amazon.com/Conscious-Breathing-Breathwork-Release-Personal/dp/0553374435