Being shorter or taller depends on details of the diet. Vegetarians can obtain a balanced diet, with sufficient complete protein, vitamins, minerals and micro-nutrients. It's trickier for vegans but it can be done.
Richard H. SteckelYoung children from Guatemala who are adopted into the United States gain considerable height relative to the standards. So the height difference cannot be genetic.
Richard H. SteckelI agree that zinc is one of the important micro-nutrients but people require a balanced blend of food for our biological engines.
Richard H. SteckelThe second and third generation effect of immigration accounts for only a small portion of the height shortfall between Americans and northern Europeans. Besides the slowdown in American heights began in the 1950s, well before large-scale immigration into the country.
Richard H. Steckel