The energy pyramid and the 10% rule
Of the 20,819 kcal that the plants of Silver Springs made on each square metre in a year, 21 kcal, about 0.1%, reached the top predators.
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Most of the energy is not passed on
When a rabbit eats grass, it does not turn every calorie into rabbit. Some of the grass is never digested and leaves as droppings. Much of what is digested is burned to keep the rabbit alive, warm and moving, and that energy ends up as heat. Only what is left goes into new tissue, and only new tissue can feed the fox. OpenStax links this loss to the second law of thermodynamics: every time energy changes form, some of it becomes heat that living things cannot use again.
National Geographic Education sums this up as the 10 percent rule: on average only about 10% of the energy at one trophic level is passed to the next. Start with 10,000 kcal in the plants and the herbivores get about 1,000, the carnivores 100 and the top carnivores 10. Each step is ten times smaller. That is why the diagram is drawn as a pyramid, wide at the bottom and narrow at the top.
Measured numbers: Silver Springs
In the middle of the twentieth century Howard T. Odum measured the flow of energy through Silver Springs, a spring-fed river in Florida. OpenStax gives the yearly production for each level: 20,819 kcal per square metre for the producers, 3,368 for the primary consumers, 383 for the secondary consumers and 21 for the tertiary consumers. Work out the steps and you get about 16.2%, 11.4% and 5.5%. The real world does not follow a neat 10%, but the shape is the same: each level holds a small fraction of the one below.
OpenStax also defines the trophic level transfer efficiency, production at one level divided by production at the level below, times 100. For the first step in Silver Springs it quotes 1,103 out of 7,618 kcal, which is about 14.48%. Different books use slightly different bookkeeping, so it is worth checking which numbers a ratio is built from.
Why food chains are short
Because so little energy survives each step, OpenStax notes that after four to six transfers there is not enough left to support another level. There is no predator that lives only on eagles. Warm-blooded animals make the loss worse. A caterpillar eating leaves turns about 18% of the energy it absorbs into its own body, while a squirrel eating acorns may manage only 1.6%, because so much goes into body heat.
Pyramids that turn upside down
Ecologists draw three kinds of pyramid. A pyramid of numbers counts individuals; in a summer temperate forest a few trees support many insects, so the bottom is narrow. A pyramid of biomass weighs living matter; in the English Channel the phytoplankton weigh 4 g per square metre and the zooplankton that eat them 21 g, because the plankton are eaten almost as fast as they grow. A pyramid of energy measures flow over time, and it is always upright, since no level can pass on more energy than it received.
- 10% rule: producers hold 10,000 kcal. How much reaches the third level (secondary consumers)?
- With 20% efficiency instead, how much reaches the fourth level from 10,000 kcal?
- With 5% efficiency, how much reaches the fourth level from 10,000 kcal?
- Silver Springs: what percentage of the producers' 20,819 kcal did the primary consumers produce (3,368)? One decimal place.
- Silver Springs: tertiary consumers (21) as a percentage of secondary consumers (383)? One decimal place.
- Silver Springs: tertiary consumers (21) as a percentage of the producers (20,819)? Two decimal places.
- OpenStax TLTE for the first step: 1,103 out of 7,618 kcal. What percentage is that? Two decimal places.
- 10% rule: a top predator level needs 50 kcal. How many kcal must the producers hold if the predators are the third level?
- Which pyramid is always upright?
- Energy
- Biomass
- Numbers
- In the English Channel, phytoplankton (4 g/m²) weigh less than zooplankton (21 g/m²) because…
- they are eaten almost as fast as they grow
- they do not photosynthesise
- zooplankton make their own food
- Why does a squirrel turn less of its food into body mass than a caterpillar?
- It spends much energy on body heat
- It eats less
- Acorns contain no energy
- About 10% of energy passes to the next level (rule of thumb).
- Silver Springs: 20,819 → 3,368 → 383 → 21 kcal/m²/yr.
- Food chains end after four to six transfers.
- Energy pyramids are always upright; numbers and biomass can invert.
Sources for this course (16)
- OpenStax Biology 2e 46.1 Ecology of Ecosystems: food chains and webs, Lake Ontario chain, grazing and detrital webs, Silver Springs 20,819 / 3,368 / 383 / 21 kcal/m²/yr (openstax.org/books/biology-2e/pages/46-1-ecology-of-ecosystems)
- 46.2 Energy Flow through Ecosystems: chemoautotrophs at hydrothermal vents (NW Eifuku, 1,535 m)
- TLTE 14.48% (1,103 of 7,618)
- four to six transfers, NPE caterpillar 18% and squirrel 1.6%, English Channel 4 and 21 g/m², energy pyramids always upright, biomagnification, DDT and Silent Spring, PCBs banned 1979, Saginaw Bay walleye more than four times the PCBs of phytoplankton, EPA fish advice (.../pages/46-2-energy-flow-through-ecosystems)
- 45.6 Community Ecology: lynx and snowshoe hare cycle about 10 years, lag 1 to 2 years, nearly 200 years of trapping data, keystone Pisaster and banded tetra, foundation species kelp and coral, Asian carp 95% of biomass in parts of the Illinois River (.../pages/45-6-community-ecology)
- National Geographic Education: Food Web (al-Jahiz, early 800s) and Energy Flow and the 10 Percent Rule (education.nationalgeographic.org/resource/food-web/, /resource/energy-flow-and-10-percent-rule/)
- NOAA Education, Aquatic food webs (noaa.gov/education/resource-collections/marine-life/aquatic-food-webs)
- Kingsland 2015, Alfred J. Lotka and the origins of theoretical population ecology, PNAS 112:9493 (pmc.ncbi.nlm.nih.gov/articles/PMC4534218): Lotka 1925 Elements of Physical Biology, Volterra 1926
- Bacaër 2011, A Short History of Mathematical Population Dynamics ch. 13 (D'Ancona, Adriatic fish markets, First World War)
- Paine 1966, Food web complexity and species diversity, Am. Nat. 100:65-75 (Mukkaw Bay, 15 to 8 species)
- Paine 1969 Am. Nat. 103:91 (keystone)
- Lafferty and Suchanek 2016, Am. Nat. 188:365 (pubs.usgs.gov/publication/70175674)
- NPS Yellowstone: History of Wolf Management (nps.gov/yell/learn/historyculture/wolf-management.htm: last pack killed 1926, 14 wolves January 1995, 17 in January 1996, 10 from Montana 1997)
- Wolf Restoration in Yellowstone: Reintroduction to Recovery (nps.gov/articles/wolf-restoration-in-yellowstone-reintroduction-to-recovery.htm: 41 wolves, peak 174 in up to 16 packs, about 100 in 10 packs, about 10% a year)
- Elk (nps.gov/yell/learn/nature/elk.htm: about 17,000 in 1995, 3,915 in 2013, 6,673 in 2022)
- The Big Scientific Debate: Trophic Cascades (nps.gov/articles/the-big-scientific-debate-trophic-cascades.htm).
Checked: 2026-10-17