It takes a very long time to search through the records and find them, but you should be able to find published studies online via JAMA, Medline, or similar source.
Recommendations by dietitians, nutritionists, and physicians making this statement can be found much more quickly, if you are looking for a reputable source for validation.
Dr. Dean Ornish
Member: I read that diets too low in fat cause your body to go into "starvation" mode and store fat, is this true?
Ornish: When you reduce intake of calories by eating less food, your body thinks you are starving and your metabolism may decrease. For the past 100,000 years or so the major problem has been getting enough calories. Our bodies have evolved dealing with starvation and famine by burning calories more slowly during those times. As a result, if you just reduce the amount of food in your diet by eating one-third less, you will lose weight at first, but your metabolism slows by one-third, since your body thinks you are starving. Your body then will not lose weight.