Editing Population Ecology (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'Logistic Growth' (The S-Curve):'''
<syntaxhighlight lang="python">
def calculate_next_pop(current_n, growth_rate, k_capacity):
    """
    Standard Logistic Growth: dN/dt = rN * (1 - N/K)
    """
    growth = growth_rate * current_n * (1 - (current_n / k_capacity))
    return current_n + growth

# A pond that can hold 1000 fish (K=1000)
# Start with 10 fish and a 50% growth rate
pop = 10
for generation in range(5):
    pop = calculate_next_pop(pop, 0.5, 1000)
    print(f"Gen {generation+1}: {pop:.0f} fish")

# Note how growth starts fast but slows down 
# as it gets closer to 1000.
</syntaxhighlight>

; Population Cases
: '''The Passenger Pigeon''' → Once the most numerous bird on Earth, it went extinct because its "Allee Effect" required massive colonies to survive; once hunting thinned the colonies, the species collapsed.
: '''Rabbits in Australia''' → A classic example of an "Invasive Species" with no predators, leading to exponential growth that devastated the environment.
: '''The Human Population''' → We have used technology to "raise" our carrying capacity for 10,000 years, but we are now facing the limits of the planet's resources.
: '''Predator-Prey Cycles (Lynx and Hare)''' → A famous 10-year cycle where the prey population booms, the predator population booms, the prey collapses, and the predator collapses.
</div>

<div style="background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">