BIO 360   Ecology

Lecture 16:  Population Regulation and Dynamics

What factors limit population growth in nature?

I.  Density-dependent population regulation 

    1.  Density Dependent factor:  a factor that has an influence on individuals within a population that is related to the degree of crowding within that population

    2.  Density independent factor:  influence on individuals within a population is not related to the degree of crowding; can regulate population growth rate but not population size


    3.  Examples of density-dependent population regulation in nature
 


        -  Fruit Fly and Common Tern examples


        -  By manipulating density, population performance can change (deer example) 

 


        - Density affects plant populations

 

    4.  Gause's (1934) experiment on population limitation in Paramecium


    5. As density increases, per capita growth rate decreases


II.  Predicting density-dependent population regulation

    A.  Change in population growth rate with density in humans (Pearl and Reed)

        1.  The US human population growth rate, r, was decreasing over time
        2.  Predicted that population size would eventually level out
        3.  Made a slight modification to the exponential growth equation, allowing r to decrease
        4.  The carrying capacity is the population size where the growth rate is zero

    B.  In the logistic equation, the change in population size (dN/dt) is found by making the following modifications to the exponential growth model:

                --  r = ro(1-N/K)
                --  ro is just r at very small population sizes
                -- K is the carrying capacity
 

     C.  Implications of the logistic equation
                -- r decreases with population size
                -- change in population size (dN/dt) is highest at half of carrying capacity
                -- Population size increases and then levels off over time


III.  Positve density dependence is possible
      At low densities, increasing density can positively affect populations
        - easier to find a mate; avoid predators; etc
        - called an Allee Effect


IV.  Population fluctuations

   A. Carrying capacity can be considered an equilibrium population size -- theoretically, populations should be at about carrying capacity most of the time

        -However, we see that many populations fluctuate through time, never reaching an equilibrium value



    B.  Density independent population fluctuations



    C.  Density dependent cycles

            1.  What causes populations to cycle?
                    --  Regular environmental changes (el Niņo)

                    --  Intrinsic dynamics

                        -type of fluctuation resulting from time delay will depend on population growth rate

                        -damped oscillation: population gets closer and closer to carrying capacity

                        -limit cycles: numbers alternate between high and low values

                    -- Interactions with predators or disease        

                        - Case study with Red Grouse