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Population Ecology
Population as a Unit of Study Population A group of organisms of the same species occupying a particular space at a particular time Demes Groups of interbreeding organisms, the smallest collective unit of a plant or animal population
Population as a Unit of Study Population has group and not individual characteristics Basic characteristics of a population: Density (no/area; no/vol) Size (numbers) Age Structure (based on age distribution) Dispersion (the spread of individuals in relation to one another)
immigration emigration natality mortality Four basic population parameters DENSITY
Density : no of organisms per unit area or  per unit volume Natality : the reproductive output of a population  (birth, reproduction) Mortality : the death of organisms in a population Immigration : the no of organisms moving into  area occupied by the population Emigration : the no of organisms moving out of  the area  occupied by the population Immigration and Emigration are referred to as Migration
Population parameters Population parameters affect population density Population density Natality + Emigration Mortality Immigration - - +
How to estimate population density? Techniques differ between organisms such that the technique to estimate deer cannot be applied to bacteria or protozoa or  vice versa There are 2 fundamental attributes that affect and ecologists choice of technique for population estimation
2 attributes Size -small animals/plants are usually more abundant than large animals/plants Mobility -based on movements of these organisms
Why the need to estimate population density? Estimates of population are made for two reasons: How to quantify nature – ecologist role Estimates are allows for comparisons between different populations in terms of space and time measure
2 broad approaches to estimate pop density Absolute density No of individual per area/ per volume Important for conservation and management Relative density Comparative no of organisms Two areas of equal sizes, which area has more organism e.g, between area x and y Area x has more organism than area y
Absolute density Making total counts and by using sampling methods Total counts - direct counting of populations human pop census,  trees in a given area,  breeding colonies can be photographed then later counted in general total counts are possible for few animals
Measurements of Absolute density Sampling methods to count only a small proportion of the population - sample Using the sample to estimate the total population 2 general sampling techniques: Use of quadrats Capture-recapture method
Use of quadrats Count all individuals on several quadrats of known size,  then extrapolate the average count to the whole area Quadrat- a sampling area of any shape (may be a  rectangle, triangle or circle)  3 requirements: the pop in the quadrat must be determined exactly area of the quadrat must be known quadrat/s must be representative of the area  achieved by random sampling
Quadrat sampling in plant population Conduct a transect in the upland hardwood forest  3 transect line, 110 meters long, count all trees taller than 25cm within 1meter of each line By utilising the quadrat method sampling for old trees and seedlings, we can determine if populations were likely to change over time
Capture recapture method Capture, marking, release, and recapture-important for mobile animals Why?-it allows not only an estimate of density but also estimates of birth rate  and death rate for the population being studied Capture animal, mark (tag) them and then release them Peterson method: Involves 2 sampling periods Capture, mark and release at time 1 Capture and check for marked animals at time 2 Time intervals between the 2 samples must be short because this method  assumes a closed population with no recruitment of new individuals into the Population between time 1 and 2 and no losses of marked individuals
Formula for capture-recapture method Marked animals in 2 nd  sample   =  Marked animals in 1 st  sample Total caught in 2 nd  sample  Total population size
e.g of capture recapture method Dahl marked trout in small Norwegian lakes to estimate the size of  the population that was subject to fishing. He marked and released 109 trout, and in 2 nd  sample a few days later caught 177 trout, of which 57 were marked. From the data, what is the estimate population size?
e.g of capture recapture method By using the formula 57   =  109 177 Total pop size Total pop size =  (109 X 177) 57   = 338 trout
Relative density Traps – no caught per day per trap – animals caught will depend on their density, activity and range of movement, skill in placing traps – rough idea of abundance – night flying insects, pitfall traps for beetles, suction traps for aerial insects Fecal pellets – rabbits, deer, field mice – provides an index of pop size Vocalization frequency – bird calls per 10 mins, can be used for frogs, cicadas, crickets Pelt records – trapper records dates back 300 years – of lynx
Relative density Catch per unit effort – index of fish abundance – no of fish per cast net or no of fish per 1 hour trawling Number of artifacts – thing left behind – pupal cases of emerging insects Questionnaires – to sportsmen (eg fish)and trappers Cover - % ground surface covered – in botany, invertebrate studies of the rocky intertidal zone Feeding capacity – bait taken – for rats and mice – index of density Roadside counts – birds observed while driving standard distances
Natality The production of new individuals by birth, hatching, germination or fission 2 aspects of reproduction must be distinguished: Fecundity  fertility
Natality Fecundity-physiological notion that refers to an organism’s potential reproductive capacity Fertility-ecological concept based on the no of viable offspring produced during a period time Realized fertility and potential fecundity-we must be able to distinguish between them
Natality E.g, realized fertility rate for a human pop may be only 1 birth per 15 years per female in the child-bearing ages While the potential fecundity rate for humans is 1 birth per 10 to 11 months per female in the childbearing ages
Mortality Biologists-interested not only in why organisms die but also why they die at a given age Longevity-the age of death of individuals in a population 2 types: Potential longevity Realized longevity
Mortality Potential longevity The maximum life span of an individual of a particular sp is a limit set by the physiology of the organism, such that it simply dies of old age The average longevity of individuals living under optimum conditions However, organisms rarely live under optimum conditions-most die from disease, or eaten by predators or succumb to a number of natural hazards
Mortality Realized longevity The actual life span of an organism Can be measured in the field, while potential longevity only in labs or zoos
examples European robin has an average life expectation of 1 year in the wild, whereas it can live at least 11 year in captivity
Population dispersion patterns 3 types random uniform clumped
 
Population dispersion patterns Random-when the position of each individuals in a pop is independent of the others Uniform-it results as a form of some negative interactions Common among animal pop where individuals defend an area for their own exclusive use (teritoriality) or in plant pop where severe competition exist for belowground resources, i.e water or nutrients
Population dispersion patterns Clumped-where individuals occur in groups Reason-suitable habitat or resources may be distributed as patches on a larger landscape
DEMOGRAPHIC TECHNIQUES
A technique to summarize how mortality occurs in a population Is mortality high among juveniles? Do older organisms have a higher mortality rate than younger organisms?
Life tables Developed to describe the mortality schedule of a population An age-specific summary of the mortality rates operating on a cohort of individuals Cohort-may include the entire population, or only males or only individuals born in a given year
Cohort life tables   generation or horizontal life tables  following the cohort throughout life – eg., annual seeds or lambs born. Static life tables   stationary, time specific, current, vertical life tables records of age at death – individuals in sample are born at different times on basis of cross section of a pop at a specific time  Age distribution   consists of proportion of individuals of different ages within a pop  can estimate survival by calculating the difference in proportion of individuals in succeeding age classes produces a static life table and assumes that the difference in numbers between age classes is a result of mortality
Mortality  is a key parameter that drive pop change, therefore we need to quantify it in a population It is high among juveniles, adults? We can quantify mortality by constructing a life table – mortality schedule of a population – age specific summary of mortality rates operating on a  cohort  (= a group born at the same time) (you are not required to know how to construct or calculate a life table – understand it!)
e.g of cohort life table for the song sparrow - - 0.0 0 6 1.0 1 0.009 1 5 0.50 1 0.017 2 4 0.83 10 0.104 12 3 0.37 7 0.165 19 2 0.24 6 0.217 25 1 0.78 90 1.0 115 0 Rate of mortality (qx) No dying within age interval x to x+1 (dx) Proportion surviving at start of age interval x (lx) Observed no of birds alive (nx) Age in years (x)
 
Types of survivorship curves Type 1- low type of mortality for most of the life span and then high losses of older organisms Humans and large mammals  Type 2- constant per capita rate of mortality independent of age eg birds, squirrels Type 3-High per capita mortality early in life, followed by a period of much lower  and relatively constant loss Fishes, invertebrates, parasites
 
Fig. 10.14
Fig. 10.15
Fig. 10.16
 
Age Distribution
 
Fig. 11.24
POPULATION GROWTH
Population growth Refers to how the number of individuals in a population increases or decreases with time (N, t) Reflects the difference between rates of birth and death in pop, if new births occur in pop, if death occurs
Population growth Change in pop size  births during – deaths during during time interval = time interval  time interval If N represents pop size and t represents time then ΔN is the change in pop size and Δt is the time interval So, the equation: ΔN  =  B-D Δt B-the number of births in pop D-the number of deaths in pop
Population growth Let r = b - d Then, the equation, dN/dt  = rN The rate of change of population (dN/dt) is a function of r (rate of increase) and the population size (N)
Geometric Growth When generations do not overlap, growth can be modeled geometrically. N t  = N o λ t N t  = Number of individuals at time t. N o  = Initial number of individuals. λ  = Geometric rate of increase. t = Number of time intervals or generations.
 
 
Exponential Growth Continuous population growth in an unlimited environment can be modeled exponentially. dN / dt = r max  N Appropriate for populations with overlapping generations. As population size (N) increases, rate of population increase (dN/dt) gets larger.
Exponential Growth For an exponentially growing population, size at any time can be calculated as: N t  = N o e rt N t  = number individuals at time t. N 0  = initial number of individuals. e = base of natural logarithms. r (= r max  ) = per capita rate of increase. t = number of time intervals.
 
 
 
 
2 types of pop growth Exponential population growth  dN   = r max N dt Logistic population growth dN   = r max N  (K-N) dt  K  Population Growth Mathematically Defined
N=K/2
Logistic Population Growth As resources are depleted, population growth rate slows and eventually stops:  logistic population growth . Sigmoid (S-shaped)  population growth curve . Carrying capacity  ( K ) is the number of individuals of a population the environment can support. Finite amount of resources can only support a finite number of individuals.
Logistic Population Growth dN/dt = r max N(1-N/K) r max  = Maximum per capita rate of increase under ideal conditions. When N nears K, the right side of the equation nears zero. As population size increases, logistic growth rate becomes a small fraction of growth rate. Highest when N=K/2. N/K = Environmental resistance.
Limits to Population Growth Environment limits population growth by altering birth and death rates. Density-dependent factors Disease, Parasites, Resource Competition Populations do not show continuous geometric increase When density increases other organisms reduces the fertility and longevity of the individuals in the population This reduces the rate of increase of the pop until eventually the pop ceases to grow The growth curve is defined as the sigmoid curve, S – shaped K = carrying capacity (upper asymptote or maximum value) – the maximum number of individuals that environment can support Density-independent factors Natural disasters Climate
 
 
 
 
Fig. 11.9
 
 
 
 
Galapagos Finch Population Growth Boag and Grant  -  Geospiza fortis  was numerically dominant finch (1,200). After drought of 1977, population fell to (180). Food plants failed to produce seed crop. 1983 - 10x normal rainfall caused population to grow (1,100) due to abundance of seeds and caterpillars.
 
Cactus Finches and Cactus Reproduction Grant and Grant  documented several ways finches utilized cacti: Open flower buds in dry season to eat pollen Consume nectar and pollen from mature flowers Eat seed coating (aril) Eat seeds Eat insects from rotting cactus pads
Cactus Finches and Cactus Reproduction Finches tend to destroy stigmas, thus flowers cannot be fertilized. Wet season activity may reduce seeds available to finches during the dry season. Opuntia helleri  main source for cactus finches. Negatively impacted by El Nino (1983). Stigma snapping delayed recovery. Interplay of biotic and abiotic factors.
 
 
 
Human Growth
 
 
 
Fig. 11.24
 
 

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Population Ecology

  • 2. Population as a Unit of Study Population A group of organisms of the same species occupying a particular space at a particular time Demes Groups of interbreeding organisms, the smallest collective unit of a plant or animal population
  • 3. Population as a Unit of Study Population has group and not individual characteristics Basic characteristics of a population: Density (no/area; no/vol) Size (numbers) Age Structure (based on age distribution) Dispersion (the spread of individuals in relation to one another)
  • 4. immigration emigration natality mortality Four basic population parameters DENSITY
  • 5. Density : no of organisms per unit area or per unit volume Natality : the reproductive output of a population (birth, reproduction) Mortality : the death of organisms in a population Immigration : the no of organisms moving into area occupied by the population Emigration : the no of organisms moving out of the area occupied by the population Immigration and Emigration are referred to as Migration
  • 6. Population parameters Population parameters affect population density Population density Natality + Emigration Mortality Immigration - - +
  • 7. How to estimate population density? Techniques differ between organisms such that the technique to estimate deer cannot be applied to bacteria or protozoa or vice versa There are 2 fundamental attributes that affect and ecologists choice of technique for population estimation
  • 8. 2 attributes Size -small animals/plants are usually more abundant than large animals/plants Mobility -based on movements of these organisms
  • 9. Why the need to estimate population density? Estimates of population are made for two reasons: How to quantify nature – ecologist role Estimates are allows for comparisons between different populations in terms of space and time measure
  • 10. 2 broad approaches to estimate pop density Absolute density No of individual per area/ per volume Important for conservation and management Relative density Comparative no of organisms Two areas of equal sizes, which area has more organism e.g, between area x and y Area x has more organism than area y
  • 11. Absolute density Making total counts and by using sampling methods Total counts - direct counting of populations human pop census, trees in a given area, breeding colonies can be photographed then later counted in general total counts are possible for few animals
  • 12. Measurements of Absolute density Sampling methods to count only a small proportion of the population - sample Using the sample to estimate the total population 2 general sampling techniques: Use of quadrats Capture-recapture method
  • 13. Use of quadrats Count all individuals on several quadrats of known size, then extrapolate the average count to the whole area Quadrat- a sampling area of any shape (may be a rectangle, triangle or circle) 3 requirements: the pop in the quadrat must be determined exactly area of the quadrat must be known quadrat/s must be representative of the area achieved by random sampling
  • 14. Quadrat sampling in plant population Conduct a transect in the upland hardwood forest 3 transect line, 110 meters long, count all trees taller than 25cm within 1meter of each line By utilising the quadrat method sampling for old trees and seedlings, we can determine if populations were likely to change over time
  • 15. Capture recapture method Capture, marking, release, and recapture-important for mobile animals Why?-it allows not only an estimate of density but also estimates of birth rate and death rate for the population being studied Capture animal, mark (tag) them and then release them Peterson method: Involves 2 sampling periods Capture, mark and release at time 1 Capture and check for marked animals at time 2 Time intervals between the 2 samples must be short because this method assumes a closed population with no recruitment of new individuals into the Population between time 1 and 2 and no losses of marked individuals
  • 16. Formula for capture-recapture method Marked animals in 2 nd sample = Marked animals in 1 st sample Total caught in 2 nd sample Total population size
  • 17. e.g of capture recapture method Dahl marked trout in small Norwegian lakes to estimate the size of the population that was subject to fishing. He marked and released 109 trout, and in 2 nd sample a few days later caught 177 trout, of which 57 were marked. From the data, what is the estimate population size?
  • 18. e.g of capture recapture method By using the formula 57 = 109 177 Total pop size Total pop size = (109 X 177) 57 = 338 trout
  • 19. Relative density Traps – no caught per day per trap – animals caught will depend on their density, activity and range of movement, skill in placing traps – rough idea of abundance – night flying insects, pitfall traps for beetles, suction traps for aerial insects Fecal pellets – rabbits, deer, field mice – provides an index of pop size Vocalization frequency – bird calls per 10 mins, can be used for frogs, cicadas, crickets Pelt records – trapper records dates back 300 years – of lynx
  • 20. Relative density Catch per unit effort – index of fish abundance – no of fish per cast net or no of fish per 1 hour trawling Number of artifacts – thing left behind – pupal cases of emerging insects Questionnaires – to sportsmen (eg fish)and trappers Cover - % ground surface covered – in botany, invertebrate studies of the rocky intertidal zone Feeding capacity – bait taken – for rats and mice – index of density Roadside counts – birds observed while driving standard distances
  • 21. Natality The production of new individuals by birth, hatching, germination or fission 2 aspects of reproduction must be distinguished: Fecundity fertility
  • 22. Natality Fecundity-physiological notion that refers to an organism’s potential reproductive capacity Fertility-ecological concept based on the no of viable offspring produced during a period time Realized fertility and potential fecundity-we must be able to distinguish between them
  • 23. Natality E.g, realized fertility rate for a human pop may be only 1 birth per 15 years per female in the child-bearing ages While the potential fecundity rate for humans is 1 birth per 10 to 11 months per female in the childbearing ages
  • 24. Mortality Biologists-interested not only in why organisms die but also why they die at a given age Longevity-the age of death of individuals in a population 2 types: Potential longevity Realized longevity
  • 25. Mortality Potential longevity The maximum life span of an individual of a particular sp is a limit set by the physiology of the organism, such that it simply dies of old age The average longevity of individuals living under optimum conditions However, organisms rarely live under optimum conditions-most die from disease, or eaten by predators or succumb to a number of natural hazards
  • 26. Mortality Realized longevity The actual life span of an organism Can be measured in the field, while potential longevity only in labs or zoos
  • 27. examples European robin has an average life expectation of 1 year in the wild, whereas it can live at least 11 year in captivity
  • 28. Population dispersion patterns 3 types random uniform clumped
  • 29.  
  • 30. Population dispersion patterns Random-when the position of each individuals in a pop is independent of the others Uniform-it results as a form of some negative interactions Common among animal pop where individuals defend an area for their own exclusive use (teritoriality) or in plant pop where severe competition exist for belowground resources, i.e water or nutrients
  • 31. Population dispersion patterns Clumped-where individuals occur in groups Reason-suitable habitat or resources may be distributed as patches on a larger landscape
  • 33. A technique to summarize how mortality occurs in a population Is mortality high among juveniles? Do older organisms have a higher mortality rate than younger organisms?
  • 34. Life tables Developed to describe the mortality schedule of a population An age-specific summary of the mortality rates operating on a cohort of individuals Cohort-may include the entire population, or only males or only individuals born in a given year
  • 35. Cohort life tables generation or horizontal life tables following the cohort throughout life – eg., annual seeds or lambs born. Static life tables stationary, time specific, current, vertical life tables records of age at death – individuals in sample are born at different times on basis of cross section of a pop at a specific time Age distribution consists of proportion of individuals of different ages within a pop can estimate survival by calculating the difference in proportion of individuals in succeeding age classes produces a static life table and assumes that the difference in numbers between age classes is a result of mortality
  • 36. Mortality is a key parameter that drive pop change, therefore we need to quantify it in a population It is high among juveniles, adults? We can quantify mortality by constructing a life table – mortality schedule of a population – age specific summary of mortality rates operating on a cohort (= a group born at the same time) (you are not required to know how to construct or calculate a life table – understand it!)
  • 37. e.g of cohort life table for the song sparrow - - 0.0 0 6 1.0 1 0.009 1 5 0.50 1 0.017 2 4 0.83 10 0.104 12 3 0.37 7 0.165 19 2 0.24 6 0.217 25 1 0.78 90 1.0 115 0 Rate of mortality (qx) No dying within age interval x to x+1 (dx) Proportion surviving at start of age interval x (lx) Observed no of birds alive (nx) Age in years (x)
  • 38.  
  • 39. Types of survivorship curves Type 1- low type of mortality for most of the life span and then high losses of older organisms Humans and large mammals Type 2- constant per capita rate of mortality independent of age eg birds, squirrels Type 3-High per capita mortality early in life, followed by a period of much lower and relatively constant loss Fishes, invertebrates, parasites
  • 40.  
  • 44.  
  • 46.  
  • 49. Population growth Refers to how the number of individuals in a population increases or decreases with time (N, t) Reflects the difference between rates of birth and death in pop, if new births occur in pop, if death occurs
  • 50. Population growth Change in pop size births during – deaths during during time interval = time interval time interval If N represents pop size and t represents time then ΔN is the change in pop size and Δt is the time interval So, the equation: ΔN = B-D Δt B-the number of births in pop D-the number of deaths in pop
  • 51. Population growth Let r = b - d Then, the equation, dN/dt = rN The rate of change of population (dN/dt) is a function of r (rate of increase) and the population size (N)
  • 52. Geometric Growth When generations do not overlap, growth can be modeled geometrically. N t = N o λ t N t = Number of individuals at time t. N o = Initial number of individuals. λ = Geometric rate of increase. t = Number of time intervals or generations.
  • 53.  
  • 54.  
  • 55. Exponential Growth Continuous population growth in an unlimited environment can be modeled exponentially. dN / dt = r max N Appropriate for populations with overlapping generations. As population size (N) increases, rate of population increase (dN/dt) gets larger.
  • 56. Exponential Growth For an exponentially growing population, size at any time can be calculated as: N t = N o e rt N t = number individuals at time t. N 0 = initial number of individuals. e = base of natural logarithms. r (= r max ) = per capita rate of increase. t = number of time intervals.
  • 57.  
  • 58.  
  • 59.  
  • 60.  
  • 61. 2 types of pop growth Exponential population growth dN = r max N dt Logistic population growth dN = r max N (K-N) dt K Population Growth Mathematically Defined
  • 62. N=K/2
  • 63. Logistic Population Growth As resources are depleted, population growth rate slows and eventually stops: logistic population growth . Sigmoid (S-shaped) population growth curve . Carrying capacity ( K ) is the number of individuals of a population the environment can support. Finite amount of resources can only support a finite number of individuals.
  • 64. Logistic Population Growth dN/dt = r max N(1-N/K) r max = Maximum per capita rate of increase under ideal conditions. When N nears K, the right side of the equation nears zero. As population size increases, logistic growth rate becomes a small fraction of growth rate. Highest when N=K/2. N/K = Environmental resistance.
  • 65. Limits to Population Growth Environment limits population growth by altering birth and death rates. Density-dependent factors Disease, Parasites, Resource Competition Populations do not show continuous geometric increase When density increases other organisms reduces the fertility and longevity of the individuals in the population This reduces the rate of increase of the pop until eventually the pop ceases to grow The growth curve is defined as the sigmoid curve, S – shaped K = carrying capacity (upper asymptote or maximum value) – the maximum number of individuals that environment can support Density-independent factors Natural disasters Climate
  • 66.  
  • 67.  
  • 68.  
  • 69.  
  • 71.  
  • 72.  
  • 73.  
  • 74.  
  • 75. Galapagos Finch Population Growth Boag and Grant - Geospiza fortis was numerically dominant finch (1,200). After drought of 1977, population fell to (180). Food plants failed to produce seed crop. 1983 - 10x normal rainfall caused population to grow (1,100) due to abundance of seeds and caterpillars.
  • 76.  
  • 77. Cactus Finches and Cactus Reproduction Grant and Grant documented several ways finches utilized cacti: Open flower buds in dry season to eat pollen Consume nectar and pollen from mature flowers Eat seed coating (aril) Eat seeds Eat insects from rotting cactus pads
  • 78. Cactus Finches and Cactus Reproduction Finches tend to destroy stigmas, thus flowers cannot be fertilized. Wet season activity may reduce seeds available to finches during the dry season. Opuntia helleri main source for cactus finches. Negatively impacted by El Nino (1983). Stigma snapping delayed recovery. Interplay of biotic and abiotic factors.
  • 79.  
  • 80.  
  • 81.  
  • 83.  
  • 84.  
  • 85.  
  • 87.  
  • 88.