Final answer:
The deer population size's relationship to the carrying capacity involves factors like available resources and human impacts such as hunting. For a deer population's size and change over time, a capture-recapture method or comparing current population to maximum supportable quantity (Q - P) are ways to assess growth potential and health of the population.
Step-by-step explanation:
The relationship between the deer herd population size and the carrying capacity of the range is a key concept in population ecology. Carrying capacity refers to the maximum number of individuals of a certain species that an environment can sustain indefinitely without being degraded. For deer populations in 1915, 1920, and 1924, understanding their relationship with the carrying capacity would involve looking at available resources, predation pressures, and human impacts including hunting and habitat changes. Questions on this topic would typically fall under the realm of Biology and be addressed at a High School level. An example formula that can be applied to estimate the population size is based on the capture-recapture method, which suggests that if 80 deer are captured, tagged, and released, and later 100 are recaptured with 20 being already marked, a population size can be estimated. Additionally, looking at the current population (P) and the ultimate number of deer the forest can support (Q), the difference (Q - P) reflects the available 'room' for population growth.