Study Guide
📖 Core Concepts
Predation – A predator kills and consumes a prey organism (vs. parasites that usually don’t kill).
Foraging Cycle – Four sequential phases: Search → Assessment → Capture → Handling.
Search Strategies – Sit‑and‑wait (ambush) vs. active/wide foraging; choice depends on prey density and predator energy budget.
Marginal Value Theorem (MVT) – Predicts the optimal time to leave a prey patch when the marginal gain from continued searching falls below the average gain of moving to a new patch.
Lotka‑Volterra Model – Classic differential‑equation pair that generates predator‑prey cycles:
$$
\frac{dN}{dt}= rN - aNP,\qquad
\frac{dP}{dt}= b\,aNP - mP
$$
where \(N\) = prey density, \(P\) = predator density, \(r\) = prey intrinsic growth rate, \(a\) = attack rate, \(b\) = conversion efficiency, \(m\) = predator mortality.
Refuge – Habitat zones where prey are safe from predators; refuges alter effective predation rates and can stabilise dynamics.
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📌 Must Remember
Predator vs. Parasitoid – Predator consumes many prey over its life; parasitoid’s larva consumes a single host and always kills it.
Energy Decision Rule – Pursue prey only when energy gain > energy cost (including capture and handling).
Size Rule – Larger predators tend to take larger prey; very small prey → low payoff, very large prey → high handling cost or danger.
MVT Formula (qualitative) – Leave a patch when:
\[
\frac{\text{incremental gain}}{\text{incremental time}} < \frac{\text{average gain}}{\text{average time}}
\]
Lotka‑Volterra Cycle Period – Approximate period \(T \approx 2\pi \sqrt{\frac{1}{r m}}\) (for simple two‑species case).
Refuge Threshold – A refuge fraction > critical value (≈0.5 in many models) eliminates limit‑cycle oscillations.
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🔄 Key Processes
Search Phase
Choose sit‑and‑wait if prey are dense & mobile, predator has low metabolic demand.
Choose active foraging if prey are sparse or sedentary.
Assessment Phase
Estimate prey size → compare to predator’s handling capacity.
Compute energetic balance (gain vs. cost).
Capture Phase
Ballistic interception: predict prey trajectory, launch intercept.
Pursuit: chase; success hinges on speed (straight runs) or maneuverability (turning prey).
Endurance hunting: maintain chase until prey fatigues.
Handling Phase
Kill/disable (e.g., remove spines, inject venom).
Process (tear, chew, swallow).
For social hunters, coordinate to subdue large prey.
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🔍 Key Comparisons
Sit‑and‑wait vs. Active Foraging – Ambush (low energy, high prey density) vs Wide search (high energy, low prey density).
Predator vs. Parasitoid – Multiple prey over life vs Single host, always lethal.
Social vs. Solitary Capture – Cooperative kill of larger prey, shared risk vs Exclusive access to kill, higher individual cost.
Lévy Walk vs. Random Walk – Many short steps + occasional long jumps vs Uniform step lengths.
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⚠️ Common Misunderstandings
“All scavengers are predators.” – Scavengers eat dead organisms only; many predators also scavenge opportunistically but are not classified as scavengers.
“Micropredators are true predators.” – Fleas, mosquitoes feed on live hosts but rarely kill them; they are usually treated as parasites.
“Lotka‑Volterra always predicts stable cycles.” – Real systems deviate because of prey refuges, predator satiation, multiple species, and non‑linear functional responses.
“A larger predator can eat any prey.” – Handling constraints (spines, toxins) and risk of injury limit prey size despite predator size.
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🧠 Mental Models / Intuition
Energy Budget Scale – Imagine a bank account: a prey item is a deposit; capture/handling are transaction fees. Proceed only if net deposit is positive.
Patch Exploitation as “Gold‑Mine” – Enter a mine (patch) while the ore (prey) is plentiful; leave when the ore rate falls below the average profit of moving to a new mine (MVT).
Lévy Walk = “Search & Sprint” – Short, frequent steps = local probing; occasional long sprint = relocation to a new patch.
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🚩 Exceptions & Edge Cases
Refuge Paradox – Small refuges can destabilise dynamics by allowing prey to hide yet still be heavily predated when they leave.
Venomous Predators – May target prey larger than typical size because venom pre‑subdues dangerous prey.
Camouflage vs. Aposematism – Some predators (e.g., ambush snakes) rely on crypsis, but a sudden bright flash (deimatic display) can startle prey, flipping the usual warning signal logic.
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📍 When to Use Which
Choosing Search Strategy – Use sit‑and‑wait when: (1) prey density > threshold, (2) predator’s metabolic rate low. Use active otherwise.
Applying MVT – Calculate marginal gain curve; if gain slope flattens before the average gain line, switch patches.
Model Selection –
Use simple Lotka‑Volterra for introductory, two‑species, no‑refuge scenarios.
Add refuge term (\(f\) = refuge fraction) to the prey equation: \( \frac{dN}{dt}= rN(1-f) - aNP\).
Use functional‑response (Holling type II/III) models when predator saturation is evident.
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👀 Patterns to Recognize
High prey density + low predator energy → ambush behavior.
Cyclical population data with 10‑year period → classic hare‑lynx dynamics.
Presence of spines/venom → likely handling adaptations in predators targeting dangerous prey.
Patchy prey distribution → expect patch exploitation and MVT‑guided patch residence times.
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🗂️ Exam Traps
Distractor: “Predators always have higher trophic level than scavengers.” – False; scavengers can be secondary or tertiary consumers.
Trap: Assuming “all predators are apex.” – Many predators are mesopredators and subject to intraguild predation.
Misleading Choice: “Lévy walk is only used by microorganisms.” – Incorrect; observed in sharks, honeybees, human hunter‑gatherers.
Wrong Formula: Using Lotka‑Volterra without noting its assumption of no refuges; exam may ask why real cycles differ.
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