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POPULATION DYNAMICS

POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

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Page 1: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

POPULATION DYNAMICS

Page 2: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

• Habitat: Set

87

75

60

30

1800

99

Source: Cunningham/Saigo, Environmental Science, 1999.

Page 4: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999
Page 5: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

POPULATION DYNAMICS

Page 6: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

POPULATION DYNAMICS

Page 7: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

How do populations changeover time?

• Number of births

• Number of deaths

b = no. b/1000/year

R.N.I. = b - d• Growth rate r• R.N.I.

e.g. pop. = 10,000b = 2,000/yr (or 200/1,000)d = 1,000/yr (or 100/1,000)

r = 0.2 - 0.1 = 0.1 or 10%

Page 8: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Doubling Time

• Amount of time it would take for a population to double in size assuming a constant r

• Td = 0.7 r

r = (0.1 - 0.05) + (0.001 - 0.01)r = 0.05 - 0.009 = 0.041Td = 0.7 = 17 years 0.041

• Immigration: individuals entering a population• Emigration: individuals leaving a population

e.g. b = 1,000d = 500i = 10e = 100

Page 9: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999
Page 10: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Geometric vs Linear Growth• Starting salary of $1 for first week that then doubles each week

• Paid $10 per week with an increase in salary of $10 per week.

$0

$10,000

$20,000

$30,000

$40,000

$50,000

1 2 3 4 5 6 7 8 9 10 111213 141516

Time (weeks)

Inco

me

($)

$0

$200

$400

$600

$800

$1,000

Page 11: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Constant amount added tothe population

Exponent is multiplied tothe population

Source: Cunningham/Saigo, Environmental Science, 1999.

Page 12: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Depends on no. of offspring,their average survival rate, andhow early and often reproductiontakes place.

Source: Cunningham/Saigo, Environmental Science, 1999.

Page 13: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Source: Cunningham/Saigo, Environmental Science, 1999.

Page 14: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Source: Cunningham/Saigo, Environmental Science, 1999.

Page 15: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Source: Cunningham/Saigo, Environmental Science, 1999.

Page 16: POPULATION DYNAMICS. Habitat: Set 87 75 60 30 1800 99 Source: Cunningham/Saigo, Environmental Science, 1999

Source: Cunningham/Saigo, Environmental Science, 1999.