Forced breathing, a.k.a _hyperventilation_ , causes hypertonic dehydration.
According to Greger and Windhorst, **Comprehensive Human Physiology** (2014):
> Loss of more water than NaCl leads to _hypertonic dehydration_ and hypernatremia. In this condition the intracellular volume is marked decreased, whereas the extracellular volume is less compromised. Possible causes of hypertonic dehydration include excessive loss of hypotonic fluid (e.g., sweat) or hyperventilation.
Therefore, the decrease of the size of red blood cells is due to the dehydration following hyperventilation.
Source:
* Greger, R. and Windhorst, U. (2014). Comprehensive Human Physiology. Berlin: Springer Berlin.