Twelfth Grade · Science · week 6

Primary productivity and limiting factors

Distinguish gross and net primary productivity, and apply Liebig's Law of the Minimum to identify the limiting factor in a described ecosystem.

Gross primary productivity (GPP) is the total energy a producer captures through photosynthesis. Net primary productivity (NPP) is what is left after the producer spends some of that energy on its own respiration (GPP minus respiration equals NPP) -- NPP is the energy actually available to feed the rest of the food web. Productivity varies enormously by ecosystem: tropical rainforests and estuaries (where rivers meet the sea) rank among the most productive places on Earth, while deserts and the open ocean are so unproductive per unit area that ecologists sometimes call the open ocean a "biological desert."

Liebig's Law of the Minimum states that growth is limited not by the total resources available, but by whichever necessary resource is scarcest relative to need -- like a wooden barrel built of staves of different heights, which can only hold water up to the height of its shortest stave. A field with abundant sunlight and water but very little nitrogen in the soil will still grow poorly, because nitrogen is the limiting factor, no matter how much sunlight or water is added.

📋 For the teacher
Teach it (10–15 min):
  • Practice the GPP-minus-respiration subtraction until it is automatic -- it is simple arithmetic standing in for an important ecological idea.
  • Use the "shortest stave in the barrel" image for Liebig's Law; most students remember the picture longer than the definition.
  • Ask why a farmer would waste money over-fertilizing with nitrogen if the real problem in their field is actually phosphorus or water.
  • Field investigation: compare plant growth and greenness at two real nearby spots with an obvious difference (a sunny watered garden bed versus a shaded dry patch, or a fertilized lawn versus an untended edge), and reason out loud about which factor is most likely limiting growth in the less productive spot.
Talk about it:
  • Why can adding more of a resource that is already abundant fail to increase growth at all?
  • What do you think is the limiting factor for plant growth in your own yard or neighborhood right now?
  • Why might a scientist need to measure several different factors before concluding which one is truly limiting?

Mastery looks like: They can compute NPP from GPP and respiration, and correctly identify the limiting factor in a data-based scenario using Liebig's Law.

Common stumbles: Assuming the resource present in the SMALLEST total amount is automatically limiting, without checking it against what the organism actually needs; adding more of a non-limiting resource and expecting it to help.

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