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  1. The major goal of the matrix model is to compute λ, the finite rate of increase in Equation 1, for a population with age structure. In our matrix model, we can compute the time-specific growth rate as λ t .

    • Life Tables

      From them we can calculate a variety of other quantities,...

  2. 22 wrz 2011 · lambda = N t +1 /N t = finite rate of increase of the population in one time step (often 1 yr). o When: 0 < lambda <1, population decreases. lambda = 1, population stable. lambda > 1, population increases. r = ln[lambda] = ln[N t +1 /N t] = instantaneous rate of increase; lambda = e r, where e = 2.71828 (= natural log or log to the base e

  3. where R is usually called the finite rate of population increase (in the actual case of dividing Paramecium the finite rate of population increase is equal to the division rate). In...

  4. 23 lut 2024 · We could also use the differential form: d N d t = r N Where N 0 is the initial population, N t is the population at any time t, r is the instantanous rate of increase, and e is Euler's number (2.718).

  5. Under many circumstances it's valuable to have a 'finite' rate of increase, or the rate/unit time in the same time units used to calculate r and the generation time. The finite rate of increase is called lambda, and = e r (= 1.14 for this life table).

  6. Since log 1 is zero, this equation reduces to logeR0= rT or r = logeR0/T. Another useful population parameter closely related to the net reproductive rate and the intrinsic rate of increase is the so-called finite rate of increase, λ, defined as the rate of increase per individual per unit time.

  7. Thus R = b – d, and is called the geometric rate of increase. Substituting R for (b – d) gives us. To further define R, we can calculate the rate of change in population size, DNt, by subtracting. N t from both sides of Equation 2: Because DN t = N t+1 – N t, we can simply write