64 PERIODICITY IN ORGANIC LIFE. follow their usual habits, gradually and persistently moving onwards in one direction, never returning to the place from whence they started. What does all this point to ? Simply this—that the species has arrived at its period of greatest abundance, and that Nature is about to put a check on its increase, this being one of the ways in which the period of scarcity is produced in this species, just as the same migratory habits produce a similar effect in the locust. It would appear that it is not the want of food which brings the migra- tion of the Lemming about. The only thing we know is that they appear in greater numbers than usual, and then are noticed to be moving in one direction, the horde being increased by the numbers which join it from every district through which the band of Lemmings passes. If the gathering is large, of course, like the swarms of locusts, the animals must do much damage by destroying all the food of the district in their line of march. I think from the illustrations I have given, that you all will be able to understand what I mean by the term "periodicity." I think that the examples given prove that when abnormal numbers of any animal or plant occur, we may expect to see this abundance followed by a period of scarcity, and that this periodic range of maximum and minimum numbers is the result of a natural law controlling every organized being, and is an effect not necessarily brought about by man's agency, nor by climatic changes, nor variation in the supplies of food. Applying the same law to diseases, we must not suppose because the Black-death and other plagues of the Middle Ages have not appeared for many years that they are necessarily extinct. They probably exist, but at their minimum period; and we may find at any moment that one of these dreadful scourges has started on its career of destruction. It may be that the increase of these diseases will be the mode by which the enormous increase of the human race will be checked, an increase which, at a not very distant period, threatens to so overcrowd the world as to make it a serious problem how all will be fed. If there is any truth in the idea that there is a law of periodicity we may make ourselves very easy, feeling sure that in the armoury of Nature there is some beneficent law which will prevent the dire results dreaded by many.