Additional body mass generally means higher oxygen requirement, but upper body mass can restrict the expansion of the lungs, decreasing the volume of air that enters with each breath. So since more oxygen is needed, and less oxygen is inhaled, breathing rate generally increases.
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The higher your elevation, the less oxygen you have (e.g climbing a mountain). This does not mean you lung capacity is less, it just means you need to breathe more to get sufficient oxygen
The size of the lungs is based on body size, and to a lesser extent on ethnicity.
this is just a thought, but maybe heavier people breath faster and harder because their lungs are compressed more (fat build up).
it affects the heart rate because it will take longer time to circulate blood around the body.