Rinse all of the vegetables well, including the kombu. In a 12-quart or larger stockpot, combine the carrots, onions, leek, celery, potatoes, sweet potatoes, yam, garlic, parsley, kombu, peppercorns, allspice berries, and bay leaves. Fill the pot with the water to 2 inches below the rim, cover, and bring to a boil.