Population dynamics

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How do animals persist/increase in an area?

y

If the biota in the course of eons, has built something we like but do not understand, then who but a fool would discard seemingly useless parts?

To keep every cog and wheel is the first precaution of intelligent tinkering

A. Leopold

Variation

Within a species, there is variation

• Ex. Morphology (size, shape, color), behavior

Some of this is linked to genetic variation

• Heritable

Different variations are better suited for certain conditions

• Those that are better suited for conditions do better (more food/different food; new nest sites, danger avoidance, etc…)

• When this variation is heritable, it is passed on to offspring and, if conditions remain the same, they gain an advantage.

Where does variation come from?

• Mutation – errors

– Most are harmful or neutral

• Gene flow – migration followed by breeding

– Add new alleles to population pool or change frequencies of alleles present

• Genetic drift – chance alterations in small populations

– bottlenecks and founder effects

• Accumulates over time

Natural Selection

• Individuals within populations are variable for nearly all traits

• Individuals pass on their genes to offspring

• More offspring are produced than can survive

• Individuals that survive and go on to reproduce (the most) are those with the varieties (alleles) that best adapt them to their environment

Outcome: alleles associated with higher fitness increase in frequency from one generation to the next

Evolution

• Any cumulative change in the characteristics of organisms or populations from generation to generation

• Evolutionary agents

– Mutation

– Gene flow

– Genetic drift

– Natural selection

It is not the strongest of the species that survive, nor the most intelligent, but the ones most responsive to change.

C. Darwin

Dangers in context of our world today

• Losing large numbers of animals, can lose variation as well

• May limit individual’s ability to persist under current conditions

• Or future conditions . . .

Individuals belong to populations

What is a population?

• a group of organisms of the same species occupying a defined area (habitat patch) at the same time

Ostrich in the savannahs of the Loeli area, Sudan. Photo by Paul Elkan ©2007 Nat. Geo./ WCS

Density

Density: amount per unit area (hectare, square kilometer, etc.)

Example: 7 frogs/hectare (ha)

100 m

100 m

(1 ha = 10,000 m 2 = 0.01 km 2 = 2.5 ac)

Niche

Niche: an n-dimensional hypervolume which includes the range of biological and physical conditions under which an organism can exist, including the resources that an animal must exploit for growth and reproduction

A portion of the feeding niche of the Blue-gray

Gnatcatcher

(Smith & Smith 1998)

Prey length (mm)

Population size and rates of growth

Population size:

N t

= population size at time t

N t+1

= population size at time t+1

N t+1

= N t

+ Births + Immigration – Deaths -Emigration

Growth rates: r = exponential growth rate

λ (‘lambda’) = intrinsic population growth rate

“BIDE”

Population growth

Reproduction, births, natality (B)

Immigration (I) Population

Emigration (E)

Mortality, death (D)

“BIDE”

Study Area

From 1999 to 2007, we studied songbird communities and populations within forest patches from

3 landscape types:

•Forest reserves (5)

•Developed

Subdivisions (9)

•Changing landscapes (13)

Developed sites are older residential areas built prior to the onset of study.

Reserve sites are primarily forested.

Changing sites are undergoing residential development during the study

Population growth

Closed System: r = (b - d) r = actual growth rate of population b = birth rate d = death rate

Open System: r = (b - d) + (i - e) i = immigration e = emigration

Population growth

Reproduction, births, natality (B)

Immigration (I) Population

Emigration (E)

Mortality, death (D)

Characteristics of birth rates

• Length of gestation or incubation period & reproductive rate

• Sex ratios

• Breeding system (monogamous or polygamous)

• # of females that breed at each age

• # of young per female of various ages

• Influence of nutrition on reproduction

Reproductive rates

r-selected species (fast species) :

• shorter gestation period

• reproduce more frequently

• produce many offspring at a time

K-selected species (slow species):

• longer gestation period

• reproduce less frequently

• produce few offspring at a time

Characteristics of birth rates

• Length of gestation or incubation period & reproductive rate

• Sex ratios

• Breeding system (monogamous or polygamous)

• # of females that breed at each age

• # of young per female of various ages

• Influence of nutrition on reproduction

Sex ratios and mating systems

1. Monogamy

– Seasonal: same mate only for 1 year

Canvasbacks

– Lifetime: same mate for life

Bald Eagles

Sex ratios and mating systems

2. Polygamy

- polyandry : one female mates with several males

Red Phalaropes

- polygyny : one male mates with several females

Fur Seals

Sex ratios and mating systems

3.

Promiscuity: no pair bonds

Characteristics of birth rates

• Length of gestation or incubation period & reproductive rate

• Sex ratios

• Breeding system (monogamous or polygamous)

• # of females that breed at each age

• # of young per female of various ages

• Influence of nutrition on reproduction

Age-specific birth rates

A fecundity schedule for Chamois from New Zealand.

3

4

1

2

5

Age (yrs) N # Female births per pregnant female

_____________________________________________

0 0.000

60

36

70

48

26

2

14

52

45

19

0.017

0.194

0.371

0.469

0.365

6

7

19 16

6 5

0.421

0.417

>7 10 7 0.350

___________________________________________

Monitoring Songbird Productivity

Productivity---Territory success and estimates of fledglings produced via spot mapping and nest monitoring.

Monitored and color-banded individuals of 7 species:

# Colorbanded

Individuals

# Territories/Nests

Monitored

American Robin 289 375

Bewick’s Wren

160 210

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson’s Thrush

Winter Wren

141

1177

533

647

195

339

867

848

433

552

Landscape specific productivity estimates :

From spot-mapping data and nest monitoring

Territory success rates

Number of fledglings/ successful nest

We used these numbers to get estimate of fecundity

(number of young produced per female/year)

Reserves Changing Developed

Song Sparrow

% Successful 61.2 70.6

64.4

% 2 nd Brood

Fledglings/nest attempt

Fledgling/female

7.5

1.56

0.78

16.4

2.00

1.00

0.16

2.14

1.07

From Oleyar et al. (in prep)

Landscape Species

Developed American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson's Thrush

Winter Wren

Fecundity

0.59

0.92

1.37

1.13

0.57

0.40

1.23

var

0.08

0.88

0.15

0.46

0.12

0.07

0.08

Changing American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson's Thrush

Winter Wren

0.89

0.78

1.10

1.23

0.82

0.40

0.61

Reserve American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

0.80

0.84

0.55

0.81

0.74

0.13

0.16

0.50

0.37

0.15

Swainson's Thrush 0.50

0.06

Winter Wren 0.61

0.09

* Upper 95% CI Limit of parameters used for calculating λ

** Changing Juv survival estimate used in calculating λ

0.16

1.33

0.38

0.21

0.46

0.07

0.33

0.55

0.32

0.47

0.54

0.55

0.53

0.38

0.71

0.14

0.5

0.51

0.54

0.59

0.54

Adult

0.4

0.29

0.5

0.54

0.5

0.46

0.35

Apparent Survival se Juv

0.15

0.14

0.17

0.03

0.06

0.07

0.19

0.13

0.08

**

0.21

0.18

0.16

0.11

se

0.08

0.05

0.04

0.05

0.05

0.08

0.12

0.08

0.09

0.02

0.03

0.04

0.08

0.22

0.06

0.17

0.06

0.06

0.1

0.12

0.18

0.08

0.14

0.18

0.18

0.17

0.1

0.31

0.03

0.15

0.16

0.18

0.21

0.18

0.08

0.03

0.05

0.03

0.03

0.04

0.03

0.23

0.02

0.09

0.04

0.04

0.08

0.08

λ

0.5416

0.4526

0.7543

0.827

0.6563

0.5719

0.5823

Upper λ *

0.962

0.9243

1.158

1.022

0.8795

0.7886

1.207

0.7606

0.4566

0.6924

0.8125

0.7475

0.6368

0.5016

1.102

0.7325

0.9812

0.9273

0.9013

0.7744

0.7522

0.9666

0.2435

0.6308

0.6962

0.724

0.7332

0.6974

1.443

0.4885

1.176

0.9349

0.9245

0.9873

1.057

From Oleyar et al. (in prep)

Characteristics of birth rates

• Length of gestation or incubation period & reproductive rate

• Sex ratios

• Breeding system (monogamous or polygamous)

• # of females that breed at each age

• # of young per female of various ages

• Influence of nutrition on reproduction

Reindeer

(caribou)

# young produced

Bighorn sheep

Population density (top) or size (bottom)

Population growth

Reproduction, births, natality (B)

Immigration (I) Population

Emigration (E)

Mortality, death (D)

Survivorship curves for male & female moose on Isle Royale

Survivors (l x

) females males

2 4 6 8 10 12 14 16 18 20

Age at Death (years)

Estimating survival in different landscapes:

Mark and recapture:

Capture, mark, and release individuals in a population.

Recapture or re-sight individuals at regular intervals

(yearly)

From this can estimate apparent survivorship and encounter rates.

Photo by T. Unfried

Estimating survival in different landscapes:

Yearly encounter histories based on recapture and resighting of colorbanded individuals.

Encounter history: series of 0’s and 1’s denoting whether animal was seen during year or not.

100000 : marked and never seen again

101001 : marked and recaptured/resighted in yr 3 and 6

111111 : marked and recaptured/resighted in every yr

Photo by T. Unfried

Landscape Species

Developed American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson's Thrush

Winter Wren

Fecundity

0.59

0.92

1.37

1.13

0.57

0.40

1.23

var

0.08

0.88

0.15

0.46

0.12

0.07

0.08

Changing American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson's Thrush

Winter Wren

0.89

0.78

1.10

1.23

0.82

0.40

0.61

Reserve American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

0.80

0.84

0.55

0.81

0.74

0.13

0.16

0.50

0.37

0.15

Swainson's Thrush 0.50

0.06

Winter Wren 0.61

0.09

* Upper 95% CI Limit of parameters used for calculating λ

** Changing Juv survival estimate used in calculating λ

0.16

1.33

0.38

0.21

0.46

0.07

0.33

0.55

0.32

0.47

0.54

0.55

0.53

0.38

0.71

0.14

0.5

0.51

0.54

0.59

0.54

Adult

0.4

0.29

0.5

0.54

0.5

0.46

0.35

Apparent Survival se Juv

0.15

0.14

0.17

0.03

0.06

0.07

0.19

0.13

0.08

**

0.21

0.18

0.16

0.11

se

0.08

0.05

0.04

0.05

0.05

0.08

0.12

0.08

0.09

0.02

0.03

0.04

0.08

0.22

0.06

0.17

0.06

0.06

0.1

0.12

0.18

0.08

0.14

0.18

0.18

0.17

0.1

0.31

0.03

0.15

0.16

0.18

0.21

0.18

0.08

0.03

0.05

0.03

0.03

0.04

0.03

0.23

0.02

0.09

0.04

0.04

0.08

0.08

λ

0.5416

0.4526

0.7543

0.827

0.6563

0.5719

0.5823

Upper λ *

0.962

0.9243

1.158

1.022

0.8795

0.7886

1.207

0.7606

0.4566

0.6924

0.8125

0.7475

0.6368

0.5016

1.102

0.7325

0.9812

0.9273

0.9013

0.7744

0.7522

0.9666

0.2435

0.6308

0.6962

0.724

0.7332

0.6974

1.443

0.4885

1.176

0.9349

0.9245

0.9873

1.057

From Oleyar et al. (in prep)

0.6

0.4

0.2

0.0

1.0

0.8

WIWR

Adult

Juvenile

Reserve Changing Developed

Winter Wren

0.4

0.2

1.0

SWTH

0.8

0.6

Adult

Juvenile

0.0

Reserve Changing Developed

Swainson’s Thrush

1.0

AMRO

0.8

0.6

0.4

0.2

Adult

Juvenile

0.0

Reserve Changing Developed

American Robin

From Oleyar et al. (in prep)

0.6

0.4

0.2

0.0

1.0

0.8

SOSP

Adult

Juvenile

Reserve Changing Developed

0.4

0.2

0.0

1.0

0.8

0.6

SPTO

Adult

Juvenile

Reserve Changing Developed

Population growth

Reproduction, births, natality (B)

Immigration (I) Population

Emigration (E)

Mortality, death (D)

Emigration and Immigration

• Juvenile dispersal: movement from place of birth to place of breeding

• Breeding dispersal: movement by adults from one place of breeding to another

– Birds: Female dispersing sex

– Mammals: Male dispersing sex

0

#

#

#

# #

#

American Robin post-fledging movements

#

#

#

#

#

#

500

#

#

#

#

#

#

#

#

#

#

#

#

#

1000 1500 2000 2500

#

#

#

#

#

#

#

#

#

#

# #

##

#

3000

#

3500 4000 Meters

Adult survival, juvenile survival, and fecundity are what we need to estimate λ, the intrinsic population growth rate.

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

Winter Wren

Reserve Changing Developed

Source/ growing populations

Stable population

Sink / declining

Landscape Species

Developed American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson's Thrush

Winter Wren

Fecundity

0.59

0.92

1.37

1.13

0.57

0.40

1.23

var

0.08

0.88

0.15

0.46

0.12

0.07

0.08

Changing American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

Swainson's Thrush

Winter Wren

0.89

0.78

1.10

1.23

0.82

0.40

0.61

Reserve American Robin

Bewick's Wren

Dark-eyed Junco

Song Sparrow

Spotted Towhee

0.80

0.84

0.55

0.81

0.74

0.13

0.16

0.50

0.37

0.15

Swainson's Thrush 0.50

0.06

Winter Wren 0.61

0.09

* Upper 95% CI Limit of parameters used for calculating λ

** Changing Juv survival estimate used in calculating λ

0.16

1.33

0.38

0.21

0.46

0.07

0.33

0.55

0.32

0.47

0.54

0.55

0.53

0.38

0.71

0.14

0.5

0.51

0.54

0.59

0.54

Adult

0.4

0.29

0.5

0.54

0.5

0.46

0.35

Apparent Survival se Juv

0.15

0.14

0.17

0.03

0.06

0.07

0.19

0.13

0.08

**

0.21

0.18

0.16

0.11

se

0.08

0.05

0.04

0.05

0.05

0.08

0.12

0.08

0.09

0.02

0.03

0.04

0.08

0.22

0.06

0.17

0.06

0.06

0.1

0.12

0.18

0.08

0.14

0.18

0.18

0.17

0.1

0.31

0.03

0.15

0.16

0.18

0.21

0.18

0.08

0.03

0.05

0.03

0.03

0.04

0.03

0.23

0.02

0.09

0.04

0.04

0.08

0.08

λ

0.5416

0.4526

0.7543

0.827

0.6563

0.5719

0.5823

Upper λ *

0.962

0.9243

1.158

1.022

0.8795

0.7886

1.207

0.7606

0.4566

0.6924

0.8125

0.7475

0.6368

0.5016

1.102

0.7325

0.9812

0.9273

0.9013

0.7744

0.7522

0.9666

0.2435

0.6308

0.6962

0.724

0.7332

0.6974

1.443

0.4885

1.176

0.9349

0.9245

0.9873

1.057

From Oleyar et al. (in prep)

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

Song Sparrow

Reserve Changing Developed

No obvious response in growth rate by landscape.

1.0

0.8

0.6

0.4

0.2

0.0

1.8

1.6

1.4

1.2

Spotted Towhee

Reserve Changing Developed

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

Winter Wren

Reserve Changing Developed

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

American Robin

Reserve Changing Developed

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

Swainson's Thrush

Reserve Changing Developed

Declining λ outside of reserves?

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

Dark-eyed Junco

Reserve Changing Developed

Possible sink during development for some species followed by recovery as subdivision ages?

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

Bewick's Wren

Reserve Changing Developed

How do these projections match up with what we see out there?

•Winter Wren numbers high and

‘stable’ in reserves, low and/or declining elsewhere

•Robin numbers ‘stable’ but low in reserves, highest in developed residential areas

•Are developed landscapes ecological traps for Robins?

2.0

Reserves

1.5

1.0

0.5

1.0

0.5

0.0

0.0

2.0

Changing

1.5

Winter Wren

American Robin

Swainson's Thrush

2.0

Developed

1.5

1.0

0.5

0.0

1999 2000 2001 2002 2003

Year

2004 2005 2006 2007

Populations fluctuate due to

• Density dependent factors

– Ex: Predation, competition, habitat availability

– change population growth in predictable ways

– N is driven by population density

• Density independent factors

– Random or

Stochastic events

– Ex. Weather, accidents

– Breeding

14 aug 2007

Definitions

• Population regulation : the tendency of population sizes to stay within a certain range

# of

Animals

(N) time

# of

Animals

(N) k

Carrying capacity

Carrying capacity (k): the number of organisms that can be supported by a given area; the actual number of organisms fluctuates near this time

Population fluctuations

Carrying capacity (k) k

N N time

Classic growth curve, unlimited resources time

Classic growth curve, limited resources (k)

Population fluctuations

Example of unlimited growth:

Australian rabbit (European hare)

• 1859: 24 hares introduced (for human food?)

• 1865: over 20,000 hares were harvested, actual population much greater.

• Mid-1800’s to mid-1900’s: major problem with too many hares; caused habitat destruction and reduction in native mammals

• 2000: still present, local problems

Carrying capacity

Rabbits exceeded k No rabbits

Rabbit-proof fence

Population regulation: food

High food addition

Townsend’s vole

Low food addition

No food added

Shaded area is winter

Population regulation: food

Population cycles: Ex. peaks in lynx populations show time lag behind peaks in snowshoe hare populations

Snowshoe hare

Lynx

Time (years)

Population regulation: climate

Population regulation: competition

• Competition – demand by 2 or more individuals of the same or different species for a common resource

• Between 2 individuals of same species:

Intraspecific

• Between 2 individuals of different species:

Interspecific

• Limited supply of resource:

Exploitation

• Not limited but interaction detrimental:

Interference

Inter- or Intraspecific competition?

Exploitation or Interference competition?

Population regulation: competition

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