I think one of the most effective methods for calorie burning is cycling , but I'm not sure can cycling actually cause muscle loss?
I mean cycling for 1 hour a day , 1 or 2 months regularly and with medium or high average speed.
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If controlling for diet and resistance training volume and intensity, no, cycling shouldn't cause muscle loss.
In other words, if you're lifting weights with regularity and you're eating to account for the caloric expenditure of cycling for an hour a day, you probably won't lose any significant amount of muscle.
Having said that, it's a pretty tall order. Food logging can get very meticulous, especially when trying to accomplish two or more fitness goals simultaneously. In addition, strength CAN be affected by cardio post-resistance training (not necessarily, however, on "off-days"). Since strength is often (but not always) an indicator of hypertrophy (again, assuming diet is in check for growth), your strength gains might take a hit, thus your muscle growth/retention may as well.
If you're dead set on cycling and adding/maintaining muscle, I'd recommend: