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La Ecología

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La Ecología

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About this activity

Desafío ecológico con números

Created by

Josè Alejandro Carrillo Vinces
Josè Alejandro Carrillo Vinces
Ecuador

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La Ecología
 

La EcologíaOnline version

Desafío ecológico con números

by Josè Alejandro Carrillo Vinces
1

En un bosque, la población de conejos crece un 5% anual. Si hay 200 conejos, ¿cuántos habrá al cabo de 1 año?

2

Una reserva tiene 12 especies, cada una con 8 individuos promedio. ¿Cuántos individuos en total?

3

En un lago, la población de peces es 2,000. Si la mortalidad anual es 12%, ¿cuántos mueren al año?

4

Una población P0=100, capacidad de carga K=500, y r=0.1. ¿P(5) en crecimiento logístico?

5

Una pradera tiene 9 plantas/m2, área 4 m2. Si aumenta a 5 plantas/m2, ¿cuántas plantas hay?

6

Reproducción anual 3 crías por individuo. Población inicial 50. ¿Total crías en un año?

7

En un ecosistema, 7 depredadores y 21 presas. ¿Qué porcentaje son depredadores?

8

Mariposas se duplican cada 2 semanas. Con 25 mariposas, ¿cuántas en 6 semanas?

9

Biomasa inicial 1000 kg, reducción anual 15%. ¿Cuánta queda tras 2 años?

10

Con dos especies en proporciones 0.6 y 0.4, índice de Shannon H ≈ ?

Explicación

Aplicamos crecimiento porcentual: 200 × 1.05 = 210.

Total = 12 × 8 = 96 individuos.

Mortalidad anual: 0.12 × 2000 = 240.

P≈K/[1+(K−P0)/P0 · e^(−rt)] ≈ 500/[1+4·e^(−0.5)] ≈ 146.

Total = 5 plantas/m2 × 4 m2 = 20 plantas.

3 crías×50 individuos = 150 crías.

Proporción depredadores = 7/(7+21) = 7/28 = 0.25 = 25%.

Tres intervalos de 2 semanas duplican: 25→50→100→200.

Después de 1 año: 850; año 2: 850×0.85 = 722.5 kg.

H = −(0.6 ln0.6 + 0.4 ln0.4) ≈ 0.673 ≈ 0.67.

 
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