Given the same death rate and the same negative factors in the external environment, the death rate increases and the number of individuals in the population approximates a negative value. N(+) – (β ± Δn) → n (1) where designates an insignificant deviation of the population from the Δn — optimum value. If, however, the number of members of the population is less than optimum, then given the same natural conditions, the birth rate will increase and the population approaches optimum. N(-) (p – ± Δn) → n (2) where: N(–) is less than the optimum number of individuals in the population, — p is the number of individuals in the species less than optimum in the — population. What, then, is the reason for such a reaction by individuals to fluctuations in their numbers? Let us put forward a number of assumptions and analyze them. Consider the equation: m(t) / m(n)n 1 (3) → where: m(t) is the vegetative biomass growing on the habitat area in a unit of time, — m(n) is the vegetative biomass necessary to support an herbivorous animal (a — rabbit) at an optimum existence, n is the optimum density of a population for the maintenance of ecological — equilibrium. Given simple reproduction, equation (3) equals one (1). Given extensive breeding, equation (3) is less than one (1). Extensive breeding occurs when the vegetative biomass produced by photosynthesis has not been completely consumed by the herbivorous animals. Equation (3) represents the system in balance. Fluctuations in the population density can be represented in the following form: m(t) / N(+) m(n) < 1 < m(t) / N(-) m(n) (4) What, then, happens within the population that brings equation (4) to (the status of) equations (5) and (6)? m(t) / [N(+)– ± m(n) 1 (β Δn)] → (5) m(t) / [N(-)– (p ± m(n) 1 Δn)] → (6)
Given the same death rate and the same negative factors in the external environment, the death rate increases and the number of individuals in the population approximates a negative value. N(+) – (β ± Δn) → n (1) where Δn — designates an insignificant deviation of the population from the optimum value. If, however, the number of members of the population is less than optimum, then given the same natural conditions, the birth rate will increase and the population approaches optimum. N(-) – (p ± Δn) → n (2) where: N(–) — is less than the optimum number of individuals in the population, p — is the number of individuals in the species less than optimum in the population. What, then, is the reason for such a reaction by individuals to fluctuations in their numbers? Let us put forward a number of assumptions and analyze them. Consider the equation: m(t) / m(n)n → 1 (3) where: m(t) — is the vegetative biomass growing on the habitat area in a unit of time, m(n) — is the vegetative biomass necessary to support an herbivorous animal (a rabbit) at an optimum existence, n — is the optimum density of a population for the maintenance of ecological equilibrium. Given simple reproduction, equation (3) equals one (1). Given extensive breeding, equation (3) is less than one (1). Extensive breeding occurs when the vegetative biomass produced by photosynthesis has not been completely consumed by the herbivorous animals. Equation (3) represents the system in balance. Fluctuations in the population density can be represented in the following form: m(t) / N(+) m(n) < 1 < m(t) / N(-) m(n) (4) What, then, happens within the population that brings equation (4) to (the status of) equations (5) and (6)? m(t) / [N(+)– (β ± Δn)] m(n) → 1 (5) m(t) / [N(-)– (p ± Δn)] m(n) → 1 (6)
Final%20Appeal-1.docx