Why do snowshoe hares boom and crash about every ten years? How many fish can be caught each year without emptying a lake? How many people can Earth support, and how big is your share of the planet? In this unit you will answer questions like these with the same tools that ecologists, wildlife managers, fisheries scientists and demographers use.
You will start by describing populations: size, density (crude and ecological), dispersion (clumped, uniform and random, tested with the variance-to-mean ratio), age structure and minimum viable population. You will estimate populations with quadrats, transects and mark-recapture (Lincoln-Petersen and Chapman), build life tables, calculate the net reproductive rate R₀, and interpret Type I, II and III survivorship curves, using the terms fecundity, mortality and carrying capacity precisely.
Next you will model growth: ΔN = (b + i) − (d + e), geometric growth (Nₜ = N₀λᵗ), exponential growth (Nₜ = N₀eʳᵗ, doubling time) and logistic growth with carrying capacity (dN/dt = rN(K − N)/K). You will explain what limits populations (density-dependent and density-independent factors, Liebig's and Shelford's laws, the Experimental Lakes Area), compare r- and K-selected life histories, and study how species interact: competition (Gause, Connell, MacArthur's warblers), predation and defence mechanisms (camouflage, warning colours, Batesian and Müllerian mimicry, keystone sea otters) and symbiosis (mutualism, commensalism, parasitism). In an investigation you will run predator-prey and host-parasitoid simulations in a spreadsheet and compare them with laboratory and field results such as the snowshoe hare-lynx cycle.
Finally you will apply everything to people: human population growth and the demographic transition (with 2026 figures), consumption, technology and the ecological footprint (a Canadian invention), Canadian technologies and projects intended to nourish growing populations, and sustainable management, including the lessons of the northern cod collapse and the contributions of First Nations, Métis and Inuit knowledge and co-management. You will also meet careers that use these ideas.
Remember from earlier grades: Grade 9 (Sustainable Ecosystems and Climate Change) introduced carrying capacity, limiting factors and the lynx-hare cycle; Grade 11 Diversity of Living Things taught quadrats, transects and Lincoln-Petersen mark-recapture; Grade 11 Evolution taught natural selection, niches and Malthus. This unit makes those ideas quantitative. A scientific calculator with ln and eˣ keys and a free spreadsheet program are all you need. If you are taking Advanced Functions (MHF4U), you will recognize its exponential and logarithmic functions throughout.
Other units in this course: Biochemistry, Metabolic Processes, Molecular Genetics and Homeostasis. Population Dynamics links most closely to Metabolic Processes (energy flow that sets carrying capacity) and Molecular Genetics (biotechnology in agriculture).
Curriculum: The Ontario Curriculum, Grades 11 and 12: Science (2008, revised), Biology, Grade 12, University Preparation (SBI4U), strand F. Population Dynamics: overall expectations F1 (relationships among population growth, consumption, technology and ecological footprint; Canadian initiatives), F2 (investigating population growth with models) and F3 (concepts of population growth and the factors that affect it), specific expectations F1.1 to F3.3. Strand A (Scientific Investigation Skills and Career Exploration) is woven through the lessons and tagged where a lesson clearly teaches it. Every lesson has worked examples, a hands-on activity, plenty of practice with full answers and a short quiz.