In
fisheries and
wildlife management, population is affected by three dynamic rate functions. •
Natality or
birth rate, often recruitment, which means reaching a certain size or reproductive stage. Usually refers to the age a fish can be caught and counted in nets. •
Population growth rate, which measures the growth of individuals in size and length. More important in fisheries, where population is often measured in biomass. •
Mortality, which includes harvest mortality and natural mortality. Natural mortality includes non-human predation, disease and old age. If
N1 is the number of individuals at time 1 then N_1 = N_0 + B - D + I - E where
N0 is the number of individuals at time 0,
B is the number of individuals born,
D the number that died,
I the number that immigrated, and
E the number that emigrated between time 0 and time 1. If we measure these rates over many time intervals, we can determine how a population's density changes over time. Immigration and emigration are present, but are usually not measured. All of these are measured to determine the harvestable surplus, which is the number of individuals that can be harvested from a population without affecting long-term population stability or average population size. The harvest within the harvestable surplus is termed "compensatory" mortality, where the harvest deaths are substituted for the deaths that would have occurred naturally. Harvest above that level is termed "additive" mortality, because it adds to the number of deaths that would have occurred naturally. These terms are not necessarily judged as "good" and "bad," respectively, in population management. For example, a fish & game agency might aim to reduce the size of a deer population through additive mortality. Bucks might be targeted to increase buck competition, or does might be targeted to reduce reproduction and thus overall population size. For the management of many fish and other wildlife populations, the goal is often to achieve the largest possible long-run sustainable harvest, also known as
maximum sustainable yield (or MSY). Given a population dynamic model, such as any of the ones above, it is possible to calculate the population size that produces the largest harvestable surplus at equilibrium. While the use of population dynamic models along with statistics and optimization to set harvest limits for fish and game is controversial among some scientists, it has been shown to be more effective than the use of human judgment in computer experiments where both incorrect models and natural resource management students competed to maximize yield in two hypothetical fisheries. To give an example of a non-intuitive result, fisheries produce more fish when there is a nearby
refuge from human predation in the form of a
nature reserve, resulting in higher catches than if the whole area was open to fishing. ==r/K selection==