Abstract
In this article, it is pointed out that the requirement for organogenetic termination is the new spatial constraint for animal development and heredity, based on that: (a) organogenesis manifests limitation in time and possession of termination, while infinite cell proliferation known as cancer is lethal; (b) the notable indeterminate growth in some fishes and a few outgrowing skin derivatives reversely demonstrates that termination is required for organogenesis inside the animal. In further, it is supplemented this new spatial constraint to Haeckel and von Baer for development and evolution. While not influencing the temporal and spatial reorganization of morphogenesis during evolution, it places restrictions on alteration of organogenetic mechanisms themselves, as that: (a) addition of new induction mechanism or elimination of termination mechanism would usually cause endless organogenesis, liable to become lethal; (b) addition of new termination mechanism or elimination of induction mechanism in evolution not be affected by this spatial constraint. Finally, it is identified this spatial constraint as partial convergence and partial difference with Haeckel’s recapitulation, and as restriction onto Baer’s tree. It is perspectives to use the method of mathematical probability and statistics to study the spatial constraint of development onto evolution in future.