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We can also project the population for other generations, using iterations: | We can also project the population for other generations, using iterations: | ||
- | * $N_{t+2} = 105 \times 1,05 = 110,25$ | + | $$N_{t+2} = 105 \times 1,05 = 110,25$$ |
- | * $N_{t+3} = 110,25 \times 1,05 = 115,7625$ | + | $$N_{t+3} = 110,25 \times 1,05 = 115,7625$$ |
continuing and taking the population size at zero time ($N_0$): | continuing and taking the population size at zero time ($N_0$): | ||
- | * $N_{t+4}= N_0 \times \lambda \times \lambda \times \lambda \times \lambda$ | + | $$N_{t+4}= N_0 \times \lambda \times \lambda \times \lambda \times \lambda$$ |
- | * $N_{t+4}= N_0 \lambda^4 $ | + | $$N_{t+4}= N_0 \lambda^4 $$ |
Generalizing: | Generalizing: | ||
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====== To learn more ====== | ====== To learn more ====== | ||
- | + | * Gotelli, N. J. 2007. **Ecologia**. Planta, Londrina. //Chapter 1 is a very didactic introduction to growth models without dependence on density.// | |
- | * Gotelli, N. J. 2007. **Ecologia**. Planta, Londrina. //Chapter 1 is a very didactic introduction to growth models without dependence on density.// | + | * Population dynamics from first principles. Chapter 2 from **Complex Population Dynamics**. Peter Turchin, Princeton Univ Press, 2003. //This thought-provoking text argues that the exponential growth model is for Biology what Newton's laws are for Physics.// |
- | * Population dynamics from first principles. Chapter 2 from **Complex Population Dynamics**. Peter Turchin, Princeton Univ Press, 2003. //This thought-provoking text argues that the exponential growth model is for Biology what Newton's laws are for Physics.// | + | * Vandermeer, J. 2010. [[http://www.nature.com/scitable/knowledge/library/how-populations-grow-the-exponential-and-logistic-13240157|How Populations Grow: The Exponential and Logistic Equations]] **Nature Education Knowledge 3**(10):15. //Another very didactic text, with considerations of the environmental consequences of human population growth.//. |
- | * Vandermeer, J. 2010. [[http://www.nature.com/scitable/knowledge/library/how-populations-grow-the-exponential-and-logistic-13240157|How Populations Grow: The Exponential and Logistic Equations]] **Nature Education Knowledge 3**(10):15. //Another very didactic text, with considerations of the environmental consequences of human population growth.//. | + |