EnviroIQ · AP Environmental Science · Lesson 8 of 30
EnviroIQ · AP Environmental Science

Lesson 08: Population Dynamics

Unit 3 · Phase 2 · Populations (10–15%)

Objectives

Warm-Up

Humans, songbirds, and oysters die in completely different rhythms. Most humans survive childhood and old age claims us all at once, late. Songbirds face a roughly constant chance of death every year. An oyster releases millions of larvae, and almost all die in the first days — but the rare survivor may live for decades. Plot survivors against age and you get three signature shapes that ecologists use as a fingerprint of a species' life strategy. This lesson reads those survivorship curves, connects them to the r/K strategies from Lesson 7, and adds the vocabulary of biotic potential, dispersion, and the factors that decide how fast a population can actually grow.


Core Concept

Survivorship curves

A survivorship curve plots the number (or proportion) of individuals from a cohort still alive at each age, usually on a logarithmic y-axis. Three types:

[DIAGRAM: Survivorship curves on a log y-axis (number surviving) vs. age (x). Type I = high flat line that drops steeply at old age (concave down). Type II = straight diagonal line (constant rate). Type III = steep early drop that flattens (concave up). Label I = elephant/human (K), III = oyster/insect (r).]

Connecting to r/K: Type I ↔ K-selected (few offspring, high care, long life); Type III ↔ r-selected (many offspring, no care, high early death). Type II is intermediate.

Biotic potential and reproductive strategy

Biotic potential is the maximum reproductive rate of a population under ideal conditions (unlimited resources). It's influenced by: - Number of offspring per reproductive event - Age at first reproduction (earlier = faster growth) - Frequency of reproduction (how often) - Reproductive lifespan and survival of offspring to reproductive age

Species with high biotic potential (r-selected, Type III) can rebound quickly from crashes and colonize fast. Species with low biotic potential (K-selected, Type I) recover slowly and are vulnerable to overharvesting because they can't replace losses fast enough.

Environmental resistance (all the limiting factors — competition, predation, disease, resource limits) opposes biotic potential. The realized growth is the balance: high biotic potential − environmental resistance → actual population change. Carrying capacity is essentially where environmental resistance fully offsets biotic potential.

Population dispersion

How individuals are spread across space: - Clumped (most common) — individuals cluster where resources are patchy or for social/protective reasons (herds, schools, plants near water). - Uniform — evenly spaced, usually from competition or territoriality (nesting birds, allelopathic plants). - Random — no pattern; rare, seen when resources are uniform and there's no strong interaction (some wind-dispersed plants).

Limiting factors (revisited)

As in Lesson 7: - Density-dependent factors intensify with crowding: competition, predation, disease, parasitism, waste/stress. - Density-independent factors act regardless of density: weather, natural disasters, temperature, human habitat destruction.

Predator–prey cycles are a classic density-dependent dynamic: prey rise → predators rise (more food) → prey fall (heavy predation) → predators fall (less food) — producing linked oscillations (e.g., lynx and snowshoe hare).

Why this matters

Survivorship-curve identification is a near-guaranteed data-interpretation item, and it ties directly to r/K strategy and to conservation (why slow-reproducing K-species like whales and sharks are so vulnerable to overharvest). Age structure previews Lesson 9's human demographics.


Worked Examples

Example 1 (easy): Identify the curve

A species shows very high mortality among juveniles but survivors live long. Which survivorship curve, and is it r- or K-selected?

Solution: Type III (early loss); it's r-selected — many offspring, little parental care, high early death.

Interpretation: Early cliff on the curve = Type III = r-strategist.

Example 2 (medium): Biotic potential and recovery

Explain why a whale population recovers from overhunting far more slowly than a herring population.

Solution: Whales are K-selected with low biotic potential — few offspring, late maturity, long gaps between births — so they replace losses slowly. Herring are r-selected with high biotic potential — many eggs, early maturity — so they rebound quickly. Low biotic potential makes whales far more vulnerable to overharvesting.

Interpretation: Reproductive rate governs recovery speed; slow reproducers stay endangered longer.

Example 3 (AP-style): Predator–prey cycle

Lynx and snowshoe hare populations oscillate, with lynx peaks lagging hare peaks. Explain the mechanism and classify the limiting factor.

Solution: Abundant hares provide food, so lynx numbers rise; heavy lynx predation then drives hares down; with less food, lynx numbers fall; reduced predation lets hares recover — and the cycle repeats. Predation is a density-dependent limiting factor, so lynx peaks lag hare peaks.

Interpretation: Coupled oscillations with a lag = classic density-dependent predator–prey dynamic.

Example 4 (AP-style): Dispersion reasoning

Desert shrubs are often evenly spaced. What dispersion pattern is this, and what causes it?

Solution: Uniform dispersion, caused by competition for scarce water (and sometimes chemical inhibition/allelopathy) that spaces plants out to reduce overlap of root zones.

Interpretation: Uniform spacing usually signals competition or territoriality.


Common Mistakes


Practice Problems

Question 1
A Type III survivorship curve indicates:
Question 2
Which species best fits a Type I curve?
Question 3
On a log-scale survivorship plot, a straight diagonal line represents:
Question 4
Biotic potential is:
Question 5
A K-selected species is likely to show which survivorship curve?
Question 6
Why do whale populations recover slowly from overharvesting?
Question 7
Even spacing of territorial birds is an example of ______ dispersion.
Question 8
In a predator–prey cycle, predator population peaks usually:
Question 9
The most common dispersion pattern in nature is:
Question 10
Which is a density-independent limiting factor?
  1. (FRQ-style) Compare Type I and Type III survivorship curves in terms of offspring number, parental care, and mortality timing, and give one example species for each.
  1. (Data) A cohort of 1,000 fish: 900 die in year 1, then survivors decline slowly over 10 years. (a) Which survivorship type? (b) What reproductive strategy (r or K) does this suggest? (c) Predict this species' ability to recover from a population crash.

FRQ Practice — Designing an Investigation (10 pts)

Researchers want to determine the survivorship pattern of a local turtle species and whether nest predation is a key limiting factor.

(a) Describe how a cohort life-table study could be designed to build a survivorship curve. (3 pts) (b) Identify the independent and dependent variables for testing the effect of nest predation. (2 pts) (c) Predict the survivorship curve type for a turtle that lays many eggs with no parental care, and justify. (2 pts) (d) Classify nest predation as density-dependent or density-independent and explain. (1 pt) (e) Propose one management action to raise juvenile survival and justify it. (2 pts)


Show answer key & explanations

(g) Answer Key

MC: 1. (C) Type III = very high juvenile mortality. 2. (C) Elephant fits Type I. 3. (B) Straight diagonal (log scale) = Type II (constant rate). 4. (B) Biotic potential = max reproductive rate under ideal conditions. 5. (A) K-selected → Type I. 6. (B) Low biotic potential → slow recovery. 7. (B) Uniform dispersion from territoriality. 8. (B) Predator peaks lag prey peaks. 9. (C) Clumped is most common. 10. (C) Drought is density-independent. Others are density-dependent.

  1. Type I: few offspring, high parental care, mortality concentrated in old age (e.g., humans/elephants). Type III: many offspring, little/no parental care, very high early (juvenile) mortality (e.g., oysters/insects). They are near-opposite life strategies (K vs. r).

  2. (a) Type III (huge early loss, then slow decline). (b) r-selected. (c) With high biotic potential, the species can rebound quickly from a crash by producing many offspring.

FRQ rubric (10 pts): - (a) 1 pt mark/track a cohort born the same time; 1 pt record the number surviving at successive ages/intervals; 1 pt plot proportion surviving vs. age (log scale) to form the curve. (3) - (b) 1 pt IV = presence/level of nest predation (e.g., protected vs. unprotected nests); 1 pt DV = juvenile/egg survival rate. (2) - (c) 1 pt Type III; 1 pt because many eggs + no parental care → very high early mortality. (2) - (d) 1 pt density-dependent (predation intensifies as nest density rises; acceptable if justified). (1) - (e) 1 pt names action (nest cages/protection, predator management, head-starting hatchlings, habitat protection); 1 pt justification tied to raising juvenile survival. (2)


⭐ Exam strategy: When a survivorship curve appears, check the axis (usually log) and where the big drop is — start (Type III, r-selected) or end (Type I, K-selected). Then connect it to recovery ability: r-species bounce back fast; K-species stay vulnerable.

Content pending external review.

← All lessons
Lesson 9 ›
Score: 0/0 correct