Lab 3: Population Growth Model: Exponential Growth

Question 1

dN/dT=

Answer 1

rmN

Question 2

rm= (simple)

Answer 2

b-d

Question 3

Nt=

Answer 3

No(lambda)^t

Question 4

Nt=

Answer 4

No (e^rt)

Question 5

rm= (complicated)

Answer 5

(lnNt-lnNo)/t

Question 6

Lamda =

Answer 6

e^rm

Question 7

ln lambda=

Answer 7

rm

Question 8

ln Nt=

Answer 8

lnNo +rmt

Question 9

Determinsitic:

Answer 9

Have fixed values therefore the outcome is fixed.

Question 10

Stochastic:

Answer 10

models are formulated in terms of the probabilities of occurrence of such different events.

Question 11

Why do populations need to overproduce in order to prevent from going extinct?

Answer 11

In order to recover from catastrophe’s. If the population didn’t reproduce to replace itself, or just replaced it self they would go extinct.

Question 12

Biotic Potential:

Answer 12

the ability of a species to produce more offspring than are neccesary to replace the existing population. This define the maximum rate at which a population can grow. (rm).

Question 13

4 factors of female life history which determine rm are:

Answer 13

1. ) The length of time a female reproduces
2. ) female age specific survivorship
3. ) female birth per female per reproduction.
4. ) delay of reproduction (generation time T)

Question 14

Nt:

Answer 14

population size at time (t) units: indiviuals

Question 15

No:

Answer 15

original population size in unit of individuals

Question 16

t:

Answer 16

time during which population is growing

Question 17

rm:

Answer 17

intrinsic rate of increase (units: individuals/individual/time)

Question 18

r:

Answer 18

relaized intrinsic rate of increase at a particular point in time.

Question 19

e:

Answer 19

base of natural log

Question 20

lambda:

Answer 20

finite rate of increase or multiplication rate (units: time)

Question 21

b:

Answer 21

birth rate

Question 22

d:

Answer 22

death rate

Question 23

What slows exponential growth?

Answer 23

intraspecific competition

Question 24

Theory of natural selection: Darwin:

Answer 24

1. ) There is overproduction of organisms.
2. ) But population size remains more or less constant (i.e logistic growth)
3. ) Thus there must be a struggle for existence
4. ) Individuals in a population vary in their characteristics and these variations are inherited (at least partially) by their offspring
5. ) On average types that vary most strongly in the direction favored by the environment will survive and reproduce better than less favored variants. Thus favorable variation will slowly accumulate in a population by means of natural selection.
6. ) Consequently the population slowly adapts to its environment.