Bio - Logicistical Growth

  • To Find The Amount In The Entire Area - 4000 mL of water, with a sample size of 100 mL (100/4000 -> simplified to 1/40) 

    • If there are 73 green pieces in the sample, there are 2920 in the whole tank 
    • Multiply by the reciprocal (73 x 40/1) 

  • To Find The Amount In The Entire Area - 624 liters of water, with a sample size of 72 mL

    • convert liters to mL 
    • Make a ratio 
    • 73 green pieces/72 mL ---> x/624000
      • Do 624000/72 times 73 
      • X = 632667 (technically 632666.66666…)
      • How to do scientific notation: 
        • Move the decimal point over until there’s one number from the left 
        • Put that number, then the number 1 to the right of the new decimal, then times 10 to the power of however many spots we moved it. 

  • What is carrying capacity? 

    • The number of organisms that can be supported by a particular environment 
    • Number of organisms over an area 
    • Carrying capacity - # pieces/gravel sample = x/all gravel 
      • X = 3 pieces/total gravel 
      • Carrying capacity - # of pieces/gravel sample volume = x/total volume or # of pieces/height of sample = x/height of the ecosystem
    • In our tests, the population couldn't get larger than the bin 
    • Limiting factors - (help us figure out carrying capacity) 
      • Amount of food being produced 
    • Logistic growth - 
      • After limited growth, exponential growth occurs. After it flattens out when the growth rate reaches 0, which is the maximum amount of organisms that can survive on that land 
      • carrying capacity can be figured out by looking at population growth

  • Do Now 

    • 50/100 = ½ is the same as 50x2 = 100x1 
    • ½ = x/77 is the same as (1*77) = 2*x 
    • Cross multiply then divide by the denominator of the full fraction 
    • a/b = c/d is the same as (b*c)/d 
    • b*c = a*d 
    • Practice - x/20 = 15/16 
    • Answer: 18.75 

  • Carrying Capacity -

    •  # of pieces/gravel sample volume = x/total volume or # of pieces/height of sample = x/height of the ecosystem

  • Limiting factors/carrying capacity - 

    • Size of container in our model 
    • Predators 
    • Amount of food the population has access to
    • Oxygen and carbon dioxide levels (and air quality/pollution) 
    • Habitat space (how much room)
    • How much rainfall 

  • How to change limiting factor (in test) 

    • (increase) Increase the size of the container 
    • (decrease) decrease the size of the container