A zoologist observes that a pride of lions increases by 10% annually, but due to environmental pressures, 8 lions emigrate each year. If the pride starts with 80 lions, how many lions will be present at the end of year 2? - Coaching Toolbox

Understanding the Context

Why A Zoologist Observes That a Pride of Lions Increases by 10% Annually, But 8 Emigrate Each Year

The observed growth pattern reflects real-world pressures on large carnivore populations. Zoologists tracking lion prides recognize that while favorable conditions support reproduction—male coalitions stabilizing prides and food availability boosting cub survival—encroachment, climate shifts, and human-wildlife conflict often force lions to leave in search of safer territories. When 10% of the pride reproduces annually, births slightly expand the group, but migration or displacement removes eight individuals each year. This combination of dynamic forces—gain with loss—defines a fragile balance guiding long-term population trajectories. Understanding this interplay is essential for both scientific research and conservation efforts.

Breakdown: How Lion Numbers Change Year by Year

Key Insights

The population shift follows a simple yet insightful formula: each year, the pride grows by 10% of 80, then decreases by 8 lions. In year 1, the population increases by 8 (10% of 80), rising from 80 to 88 lions. Then, 8 lions emigrate, ending year 1 with exactly 80 lions—mirroring the starting number. This stabilization suggests a short-term equilibrium, but future years reveal deeper shifts driven by the same forces. As this cycle continues, real-world pressures may alter these figures, making long-term prediction both vital and complex.

Year-by-Year Calculation: What Happens in Year 2?

At the start of year 2, the pride contains 80 lions. The 10% growth triggers 8 new births—the same as year 1—bringing numbers to 88. Yet this time, 8 lions emigrate again. Subtracting 8 from 88 leaves a final count of 80 lions. Though the peak grows to 88, the net result after emigration returns the pride to its original size, highlighting a fragile balance between renewal and loss within these populations.

Final Thoughts

Opportunities and Considerations for Wildlife and Conservation

This dynamic underscores critical opportunities: data revealing population stability despite environmental challenges supports targeted conservation strategies. For researchers, tracking such net gains and losses helps assess risks to lion habitats and informs corridor creation, anti-poaching efforts, and habitat restoration. For policymakers, understanding these natural dynamics reinforces the urgency of protecting ecosystems where climate and human expansion collide. While growth remains possible, sustained progress depends on halting emigration drivers—ensuring lion prides can thrive both biologically and geographically.

Common Misconceptions About Lion Populations and Emigration

A frequent misunderstanding is that increases in lion numbers signal population health or expansion. In truth, the 10% annual rise includes births and natural survival, but emigration pressure offsets this gain—meaning raw headcounts don’t tell the full story. Another misconception is that emigration alone determines decline; in reality, small net changes each year reflect resilience under stress. Scientific literacy helps readers see beyond surface metrics, linking behavior to broader ecological narratives rather than simplistic gain-or-loss binaries.