From the article: "Obese persons with an apparent abundant source of energy as fat would have to be careful not to exhaust their much smaller amounts of non-essential proteins in very long fasts. An average adult male whose ideal weight is 70 kg (155 lb.) would have 30 kg (66 lb.) of muscle tissue which contains 6 kg (13.2 lb.) of muscle protein once water is excluded. Assuming that the majority of the protein used in a fast is from muscle, this man would lose 4kg (8.8 lb.) of muscle tissue in the first two weeks and 0.7 kg (1.5 lb.) every two weeks thereafter. In three months, he would have lost one-half this muscle mass. A moderately obese person, who has fat stores which can easily last longer than three months, would be very weak after three months from loss of muscle mass and would be in danger of using essential proteins such as cardiac muscle."
I know that the arithmetic does not quite work out, but still.
Article also says: "It should be noted that the replacement of muscle protein requires time and appropriate exercise. If one over-eats while breaking the fast, they can quickly regain their former weight as fat without completely replacing the lost muscle. (For every 10kg (22 lb.) of weight lost and regained, there results in 10% or 1 kg (2.2 lb.) less protein tissue. If a person goes on three weight loss programs per year during which 10 kg (22 lb.) is lost and regained each time, that would, theoretically, result in the body composition containing 6 kg (13.2 lb.) less protein tissue (mainly muscle) in two years. This calculation would be modified by diet and exercise habits.) "
Also Jogging is not really muscle building excercize. To build muscle you need to weight lift.