I don't believe there are definitive research studies correlating specific diet types with one's metabolism. However there are recommended ranges and amounts of calories, proteins, carbs, fat, fiber as well as other nutrients such vitamins, essential fats and minerals, which are intended to help people achieve optimal health.
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Kat Barefield, MS, RD, Nutrition & Dietetics, answered
National Academy of Sports Medicine answeredThere are many versions of these diets out there – you usually fill out a questionnaire (often that you have to purchase) and these questions are incorporated into evaluation criteria that determine the best diet for you. While the resulting diet might be effective, it is not because it is metabolically “matched” to your physiology. Metabolic typing diets may work because people believe they will work (scientists call this a placebo effect). If the diet provides less Calories than you were previously eating, it will produce weight loss.