Types of genetic variation
Harmful
Beneficial
Neutral
Fates of each type under natural selection
Harmful variations → ultimately eliminated from populations
Beneficial variations → increase in frequency because they raise reproductive success
Neutral variations → largely ignored by selection; can drift or persist
Crucial clarifications
Natural selection acts on the phenotype, not directly on the genotype
Selection has no forward-looking goal (no intent to “improve” a species)
Medical protocol
Doctors routinely prescribe ~10-day antibiotic courses (e.g.
Amoxicillin)
Symptomatic relief often occurs by day ≈3, tempting patients to stop early
Evolutionary consequences of stopping early
Survivors are the most resistant strains → they reproduce, spreading resistance alleles
Over-prescription in the 1960s–70s (e.g.
“penicillin shot in the butt” for nearly any ailment) accelerated this process
Key takeaway: Finish the full course to minimize the probability that any resistant bacterium survives
Analogy to pesticide resistance in agriculture
Mutant pests survive a pesticide → reproduce → next generation carries resistance → farmers escalate to ever stronger chemicals
Leads to a "chemical arms race" and motivates growth of (smaller-scale) organic farming
Intellectual inputs
Charles Lyell’s Principles of Geology (deep time, slow change)
Thomas Malthus’ essay on human population growth (resource limits)
Mental “rioting” → epiphany: species overproduce relative to resources
Elephant thought experiment
Life span ≈ 100\,\text{yrs}
Breeding span from 30 to 90\,\text{yrs}
If every calf survived, after 750\,\text{yrs} a single pair would yield 19,000,000 elephants
Environments cannot support that magnitude → inevitable struggle & differential survival
Concept name: geometric ratio of increase (a.k.a. exponential growth)
Historical plateaus → rapid acceleration
Pre-agriculture ((<10,000\,\text{yrs}) ago): near-steady human numbers
Agricultural Revolution: sedentary farming → modest growth
Industrial Revolution (~1700 CE): medical, technological, and agricultural advances → exponential growth curve
Current & projected numbers
2025 ≈ 8\times10^{9} people (8 billion)
2100 projection ≈ 1\times10^{10} people (10 billion)
Carrying capacity debate
Many scholars argue we have already exceeded Earth’s sustainable carrying capacity
Result → intensified competition for finite resources (food, water, habitable land)
~2\times10^{9} people (≈70 % of global population) live within 50\,\text{km} of a coastline
Warming planet → sea-level rise, storm surge, salt-water intrusion
Potential for mass mobilization ("environmental refugees")
Strain on inland infrastructure, economies, and water supplies
Oil & coal are replaceable (at inconvenience); fresh water is not
Signs of impending crisis
Increasing civil unrest in regions already water-stressed
Infrastructure inequities magnify the problem (aging pipes, poor distribution networks)
Key idea: Water scarcity could become the primary driver of future geopolitical conflict
Dependents: 7 U.S. states + Mexico rely on the river
Current problems
Extensive diversion → river reaches Mexico as a trickle
Heavy industrial/agricultural withdrawals lead to over-pumping of groundwater
Infrastructure decay compounds losses
Drought of record (largest in ≈1200 yrs)
Reduced snowpack (primary source of Colorado’s water) endangers year-to-year supply
Major reservoirs
Lake Powell and Lake Mead (largest U.S. drinking-water stores)
Water levels fell so low that hydroelectric power generation was nearly halted
One strong snow year offered temporary relief; full recovery remains elusive
Food supply linkage: Large swaths of U.S. produce, especially from California, rely on Colorado River allocations; water insecurity threatens supermarket availability and prices
Medical ethics: Overuse/misuse of antibiotics today jeopardizes future generations’ ability to combat infections
Agricultural ethics: Chemical arms race with pests raises questions about long-term soil & ecosystem health
Climate justice: Coastal and water-scarce populations (often poorer) may bear disproportionate burdens of environmental change
Geopolitical stability: Water scarcity and climate migration could precipitate conflict, requiring cooperative international frameworks
Exponential growth model (generalized): N(t) = N_0 e^{rt}
$N(t)$ = population at time $t$
$N_0$ = initial population
$r$ = intrinsic growth rate
Carrying capacity (logistic model): \frac{dN}{dt} = rN\left(1-\frac{N}{K}\right)
$K$ = carrying capacity; when N \to K, growth slows
Selection differential: Qualitatively discussed—beneficial alleles increase in frequency proportional to their fitness advantage
Relate antibiotic resistance to core evolutionary principles: mutation, selection, inheritance, and time
Map Darwin’s insights onto modern examples: elephant overproduction ↔ human population expansion
Track how resource limitations (space, food, water) convert biological theory into social, economic, and political realities
Practice interpreting exponential vs. logistic curves; be able to explain where humans currently sit on each trajectory