Final answer:
People began to control the movements of a herd with the rise of pastoral societies about 7,500 years ago, where herding became a significant part of human subsistence and survival.
Step-by-step explanation:
In which stage in human-animal relationships do people begin to control the movements of a herd? The answer lies in the development of pastoral societies, which emerged roughly 7,500 years ago when human societies began to tame and breed animals. These societies marked a transition from hunter-gatherer lifestyles to one where humans actively controlled the reproduction and care of herds. Pastoralists developed an intimate understanding of both the animals and their environment, allowing them to steer their herds to fresh feeding grounds in strategic seasonal cycles, and such herding societies often followed a nomadic or semi-nomadic way of life. They managed the number and composition of their herds to ensure sustainable use of resources. Over time, the domestication process deepened and people began to selectively breed animals, transforming both the herds and the human-animal relationship.