Substantial evidence indicates that physical activity is the first-line treatment of obesity and is a management approach for obesity-related mortality and morbidity. The results of the study indicated that aerobic training alone reduced BW, BMI, BFP, and WHR; however, more reductions were observed when aerobic training was accompanied by vitamin D supplementation. Based on the results of the studies, aerobic training is associated with improvements in cardiovascular risk factors, including improved insulin resistance and weight loss (
28,
29). Swift et al. found that regular exercise training increased the expression of lipolytic enzymes, the density of mitochondria, and the recruitment of fat cells instead of carbohydrates for energy demand while reduced body fat, leading to consequent reductions in BW, BMI, and BFP (
30). On the other hand, the increase in anthropometric indices (BW, BMI, and WHR) is an indicator of visceral fat accumulation that has a high correlation with liver fat accumulation in NAFLD (
31). Visceral fat tissues are more resistant to insulin; therefore, it might stimulate lipolysis and call for free fatty acids in the bloodstream, which is an influential factor in the accumulation of more triglycerides in the liver (
32). In addition regular aerobic training is known to increase the daily energy expenditure, increase the oxidation of lipids in skeletal muscles and mitochondria of hepatocytes, and reduce the obesity, especially the abdominal obesity; they may consequently lead to reduced visceral fat, free fatty acid transfusion into the liver, and fat deposition in the liver, along with the increased fat oxidation in the liver (
33,
34).
The findings of the study also showed that Vit. D alone reduced BW, BMI, and BFP. Studies report an association between vitamin D deficiency and the prevalence of chronic diseases (
35,
36). Limited studies have been conducted on the relationship between vitamin D intake and BW, BMI, and BFP. Recently, Hoseini et al. reported that high doses of vitamin D could significantly reduce BW, BMI, and visceral fat in rats with metabolic syndrome (
37). In a trial study, Scragg et al. compared the serum levels of 25-OHD between obese subjects and non-obese controls and reported significantly lower levels in obese subjects (
38). Vitamin D is a fat-soluble vitamin that is believed to store in larger adipose tissues after synthesizing and entering the bloodstream, releasing it at a slower rate. Vitamin D concentration in fat tissue is positively correlated with its serum concentration (
39). Contrarily, hypovitaminosis D (a decrease in vitamin D) results in the increased levels of parathyroid hormone (PTH) and intercellular Ca
++ and inhibits insulin receptors in target tissues and closes the Glut-4 channel. In addition, since insulin secretion depends on the intracellular calcium concentration, hypovitaminosis D may impair insulin function, glucose metabolism, and other metabolic processes in the adipose tissue, which might be another mechanism in the association of abdominal obesity and low levels of vitamin D (
37,
40). A further reduction in anthropometric indices induced by aerobic training plus vitamin D supplementation, compared to other groups, in the current study was probably due to the higher sensitivity of visceral adipocytes, which stimulated lipolysis in response to catecholamines. Moreover, aerobic training and vitamin D supplementation may have a direct effect on insulin sensitivity and beta cells function (
14,
15). Since the increased BW, BMI, BFP, and WHR are risk factors for the development of insulin resistance, type 2 diabetes, and CVD in elderly women (
8,
9), identifying the effective measures for reducing BMI, BFP, and WHR has always been a controversial issue. Further research is needed to document the vitamin D supplementation dose, training intensity, and cumulative effect of AT + Vit. D in improving anthropometric indices in NAFLD patients. The limitations of this study were the use of US to detect fatty liver, instead of liver biopsy as a more accurate technique, and the small sample size due to the limited number of patients with both vitamin D deficiency and NAFLD and their age-related limitations.