Gilbert B. Forbes has already shown, in the 1980s, that there is an interesting relationship between lean body mass and body fat. This relationship (albeit adapted from the original publication) is, to this day, still being used in mathematical models that describe the dynamics of weight loss.
Gilbert Forbes highlighted some elegant anthropometric relationships - I just want to quickly point one out. Gilbert Forbes showed that the amount of body fat that you have before starting with a diet will greatly influence how much fat and lean body mass you will lose during that diet - more specifically the ratio of fat to lean body mass loss. If you look at the top right data point of the graph below you can see that those individuals described by that specific data point has about 70 kg body fat and 60 kg lean body mass. These highly obese individuals when losing weight (move from the top right datapoint along the curve to the left) will lose a substantial amount of fat without losing a lot of lean body mass. In contrast, if an individual with, say 20 kg fat and 40 kg lean body mass will, with the loss of fat, also lose lots of lean body mass. This is probably one of the main reasons why it is so difficult to lose that last bit of stubborn fat! It just shows that a residual amount of fat in one's body is extremely important - so much so, that the body will rather sacrifice muscle than lose that last bit of fat. Another interesting thing to note is that the function describing this lean body mass and fat relationship is a semi-logarithmic function.

The plot depicted above, copied from the article "Body fat Content Influences the Body Composition Response to Nutrition and Exercise" published in the Annals New York Academy of Sciences, is a plot of lean body mass against body fat content in women 156-170 cm tall. The women were grouped according to body fat content. The Semi-log insert plot is of the same data.
Now you may ask, does this mean that, if I have an initial fat percentage of, say, 30% and a weight of 100 kg (220 lbs), I will follow a predetermined loss of lean body mass and fat that can be described by a mathematical function when going on a diet? Do the magnitude of my caloric restriction and the composition of my food not influence the ratio of lean body mass and fat loss? What about exercise? I will answer these questions in future posts by discussing some more interesting findings by Gilbert Forbes as well as other scientists.