Ecology, Populations & Biodiversity — Chapter review · Physics & Environmental Science, Grade 12

Use food webs, population models, habitat patterns, and representative sampling.

Review the key ideas

Ecosystem Structure & Energy Flow

NPP=GPP−producer respiration. Energy flows through production and other pathways; material cycles. Trophic transfer efficiencies vary and need compatible area/time definitions.

Biodiversity & Ecosystem Services

Biodiversity spans genetic, species, and ecosystem levels; it powers the ecosystem services human societies depend on and gives ecosystems the resilience to recover from disturbance — and keystone species can shape a whole community out of proportion to their numbers.

Population Ecology

Exponential and logistic curves are conditional continuous models. Carrying capacity can change, and an instantaneous rate is not automatically a full-year population increase.

Biomes & Aquatic Systems

Climate, soil, disturbance and history influence terrestrial biomes; salinity, depth, light, oxygen and flow help explain aquatic patterns. Broad labels do not replace local evidence.

Ecological Sampling & Diversity Data

Diversity values and abundance estimates depend on sampling design and stated index definitions.

Problem 1

In the chain grass → grasshopper → mouse → hawk, name the trophic level and role of each organism.
Answer and explanation

Grass = producer (trophic level 1); grasshopper = primary consumer (level 2); mouse = secondary consumer (level 3); hawk = tertiary consumer (level 4).

The producer that makes its own food is trophic level 1 (grass). Each step up is one level higher: the grasshopper eats the producer (primary consumer, level 2), the mouse eats the grasshopper (secondary consumer, level 3), and the hawk eats the mouse (tertiary consumer, level 4).

Problem 2

Define gross primary productivity (GPP) and net primary productivity (NPP), and give the equation linking them.
Answer and explanation

GPP is the total energy producers capture through photosynthesis; NPP is what remains after producers' own respiration: NPP = GPP - respiration.

GPP measures all the energy fixed by photosynthesis. But producers must spend energy on their own life processes (respiration), so the energy actually stored as new biomass and available to consumers is the net amount: NPP = GPP - respiration.

Problem 3

Producers in a lake store 90,000 kcal/m²/yr as NPP. Using the 10% rule, how much energy is available to primary, secondary, and tertiary consumers?
Answer and explanation

Primary consumers: 9,000 kcal/m²/yr; secondary consumers: 900 kcal/m²/yr; tertiary consumers: 90 kcal/m²/yr.

Apply the 10% rule (× 0.10) at each step. Primary consumers: 90,000 × 0.10 = 9,000. Secondary consumers: 9,000 × 0.10 = 900. Tertiary consumers: 900 × 0.10 = 90 kcal/m²/yr. Energy drops by about 90% at every level.

Problem 4

Classify each as genetic, species, or ecosystem diversity: (a) many different alleles for beak size in one finch population, (b) the number and evenness of bird species in a marsh, (c) the range of forests, deserts, and reefs across a country.
Answer and explanation

(a) genetic diversity, (b) species diversity, (c) ecosystem diversity.

(a) Variation within a single population is genetic diversity. (b) The count and balance of species in one community is species diversity (richness plus evenness). (c) The variety of whole ecosystems across a region is ecosystem diversity.

Problem 5

A grassland sample has four plant species with 25, 25, 25, and 25 individuals (N = 100). Calculate Simpson's Diversity Index, D = 1 - Σ(n/N)².
Answer and explanation

D = 0.75.

Each proportion is 25/100 = 0.25, and (0.25)² = 0.0625. With four equally common species, Σ(n/N)² = 4 × 0.0625 = 0.25. Then D = 1 - 0.25 = 0.75 — high because the community is both rich and perfectly even.

Problem 6

Classify each ecosystem service as provisioning, regulating, supporting, or cultural: (a) bees pollinating an orchard, (b) timber harvested for lumber, (c) soil formation and nutrient cycling, (d) a scenic park used for hiking.
Answer and explanation

(a) regulating, (b) provisioning, (c) supporting, (d) cultural.

(a) Pollination stabilizes and maintains crop production — a regulating service. (b) Lumber is a tangible good the ecosystem supplies — provisioning. (c) Soil formation and nutrient cycling underpin all the other services — supporting. (d) Recreation and beauty are cultural services.

Problem 7

A diverse forest and a nearby single-species tree plantation are both hit by a new insect pest. Predict which recovers better and explain, connecting biodiversity, resilience, and ecosystem stability.
Answer and explanation

The diverse forest is likely to recover better, because its variety of species and genes provides redundancy and resistance, giving it greater resilience than the uniform plantation.

In the single-species plantation, every tree is vulnerable to the same pest, so the outbreak can devastate the whole stand at once, and there are no other tree species to fill the gap — low biodiversity means low resilience. The diverse forest is buffered on two levels: high genetic diversity means some individuals may resist the pest, and high species diversity means that even if one tree species is hit hard, others continue performing similar ecological roles. This redundancy keeps the forest functioning and lets it recover, illustrating why biodiversity underpins ecosystem stability and resilience.

Problem 8

Use the continuous logistic model to find the instantaneous growth rate for N=500,r=.4/year,K=2500.
Answer and explanation

160 individuals/year at that instant.

.4×500×(1−500/2500)=160. The future population and rate change, so this is not an exact finite-year increment.

Problem 9

A population of 8,000 records 320 births and 80 deaths in a year (ignore migration). Find the annual growth rate as a percent, and use the rule of 70 to estimate the doubling time.
Answer and explanation

Growth rate = 3% per year; doubling time ≈ 23 years.

Net change = 320 - 80 = 240. Growth rate = 240/8,000 = 0.03 = 3% per year. Rule of 70: doubling time ≈ 70 ÷ 3 ≈ 23.3 years.

Problem 10

A deer population grows near its carrying capacity. Explain how a density-dependent factor and a density-independent factor would each affect it, giving one example of each.
Answer and explanation

A density-dependent factor (e.g., disease or food competition) intensifies as the herd crowds, pulling the population back toward K; a density-independent factor (e.g., a severe winter storm) reduces the population regardless of how dense it is.

Density-dependent factors get stronger as density rises: as deer crowd near K, food competition sharpens and disease spreads more easily, raising deaths until the population eases back toward carrying capacity. Density-independent factors, like a blizzard, drought, or wildfire, kill a set fraction of deer whether the herd is large or small, so they can knock the population down at any density. Real populations are shaped by both, which is why they fluctuate around K rather than sitting exactly on it.

Problem 11

A region has warm summers, cold winters, about 100 cm of rain a year, and is dominated by broadleaf trees that drop their leaves each autumn. Name the biome and give the climate reasoning.
Answer and explanation

Temperate deciduous forest.

Moderate temperatures with distinct seasons and moderate-to-high precipitation (around 100 cm/yr) support broadleaf trees that shed their leaves to survive cold winters. On a temperature-versus-precipitation diagram, this middle-temperature, fairly wet climate is the temperate deciduous forest.

Problem 12

Explain why the open ocean has low net primary productivity per square meter while estuaries and coral reefs are highly productive, referring to light and nutrients.
Answer and explanation

The open ocean is nutrient-poor at the sunlit surface because nutrients sink into the dark depths, so productivity is low; estuaries and reefs are shallow, sunlit, and nutrient-rich, so productivity is high.

Photosynthesis needs both light and nutrients. In the open ocean, light is available only in the shallow photic zone, but nutrients continually sink below it into the lightless deep, leaving surface waters nutrient-starved — productivity per square meter is low. Estuaries receive a steady load of nutrients from rivers in shallow, well-lit water, and coral reefs combine sunlit shallows with efficient nutrient recycling, so both are among the most productive ecosystems on Earth.

Problem 13

Producer energy 10000 units and supplied efficiency 10% per step. Find second consumer level.
Answer and explanation

First 1000, second 100 units. State that the given efficiency is modeled and energy is not recycled like matter.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 14

Chapter review: A habitat has GPP12000 kJ/m²/yr and producer respiration5000. Consumers produce840 kJ/m²/yr. Find NPP and the NPP-to-consumer production efficiency.
Answer and explanation

NPP=7000 kJ/m²/yr. Efficiency=840/7000=12%. The fraction uses NPP, not GPP, and does not imply every intermediate process has12% efficiency.

NPP=7000 kJ/m²/yr.

Efficiency=840/7000=12%.

The fraction uses NPP, not GPP, and does not imply every intermediate process has12% efficiency.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 15

Two species have fractions.5,.5. UseD=1−Σpi².
Answer and explanation

D=.5. State this version of the index and the sampling effort before comparing sites.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 16

Chapter review: Counts are6,3,1 for three species. Find richness and D=1−Σpi², then state a sampling limitation.
Answer and explanation

Richness=3. Fractions0.6,0.3,0.1 give D=1−(0.36+0.09+0.01)=0.54. The sample may miss rare or hard-to-detect species; matched effort and replication matter.

Richness=3.

Fractions0.6,0.3,0.1 give D=1−(0.36+0.09+0.01)=0.54.

The sample may miss rare or hard-to-detect species; matched effort and replication matter.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 17

N=500,r=.4/year,K=2500. Find instantaneous growth rate.
Answer and explanation

dN/dt=.4×500×(1−.2)=160individuals/year at that moment; future N changes the rate.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 18

Chapter review: For continuous logistic growth with r=0.5 yr⁻¹,K=800 and N=200, find dN/dt. Compare with N=400.
Answer and explanation

At200:0.5×200×0.75=75 individuals/year. At400:0.5×400×0.5=100/year. Total growth rises even while per-capita growth falls.

At200:0.5×200×0.75=75 individuals/year.

At400:0.5×400×0.5=100/year.

Total growth rises even while per-capita growth falls.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 19

Why can open ocean have low production per area yet large total production?
Answer and explanation

Low local nutrients can limit per-area production, but its enormous total area matters for aggregate output.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 20

Chapter review: A well-mixed1000 L tank gains600 mg oxygen/day and loses900 mg/day with no water-volume change. Find mass and concentration changes per day; state a model limit.
Answer and explanation

Mass change=−300 mg/day; concentration change=−0.30 mg/L/day. The result assumes the stated constant volume, uniform mixing and continuing fluxes; real fluxes can respond to changing conditions.

Mass change=−300 mg/day; concentration change=−0.30 mg/L/day.

The result assumes the stated constant volume, uniform mixing and continuing fluxes; real fluxes can respond to changing conditions.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 21

Two species fractions.2 and.8. Find D.
Hints

Write the relationship first; substitute with consistent units.

Answer and explanation

0.32

1−(.04+.64)=.32.

Problem 22

Why is one large total count not a complete sampling description?
Answer and explanation

Area, effort, detectability, locations, and timing determine its interpretation.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 23

Chapter review: Four0.50 m² quadrats contain2,4,6,4 individuals. Find pooled density and an abundance estimate for100 m² if sampling is representative; state why it is an estimate.
Answer and explanation

Total16 over2.0 m² gives8 individuals/m². Extrapolated abundance≈800. Spatial variation, finite sampling and imperfect detection make it an estimate rather than a census.

Total16 over2.0 m² gives8 individuals/m².

Extrapolated abundance≈800.

Spatial variation, finite sampling and imperfect detection make it an estimate rather than a census.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.
Take the chapter quiz

Browse all courses