With large breed puppies (like our danes) you are not allowed to work them physically for long distances (like the jogging you are suggesting) until they reach 2 years of age. This is because their bones and joints are more susceptible to injury while they are growing. For Autumn, she looks like more of a mid-sized dog, so I think 2 years would be a little long for her to wait. I would think that at this time, if she is about 4 months old, then you can start walking her for about a 1/4 to 1/2 mile, then build up to jogging for that distance, then adding more distance while walking, then more jogging, etc. By the time she reaches around 8-10 months, she should be built up enough to be able to make it for the 2 miles while jogging. Just make sure you watch her for sign of tiredness, overheating, etc. Just make sure you have a lot of fun!! She as cute as a button!