The Logical Jump in Shell Changing in Hermit Crab and Tool Experiment in the Ants

We propose and sketch a novel approach toward the study of behavioral plasticity. When one encounters a new animal behavior, one formally describes this behavioral pattern, however, one confronts with more new behavioral patterns as the observation proceeds. As a result, the question arises how the hierarchy in behavioral pattern is originated and/or is changed. Focusing on the relationship between before and after the emergence of new behavioral pattern, we explain emergency a newly behavior and the origin of hierarchy of behavior. In particular, we illustrate the changing shell in experiments by hermit crabs, and the usage of a cart in experiments on the transportation of foods by ants. We observe a particular time-series sequence of hermit crabs and ants behaviors following a 1/f or Zipf's law. The behaviors following the 1/f or Zipf's law manifest emergence as logical jump on the part of object.