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Mathematics Ecology

2
Open Unknowns
0
Cross-Domain Bridges
2
Active Hypotheses

Open Unknowns (2)

Unknown Whether the Perron-Frobenius guarantee of a stable age distribution extends to density-dependent Leslie matrices (where vital rates depend on population size), and what replaces the dominant eigenvalue as the growth rate predictor in nonlinear structured population models u-leslie-matrix-density-dependence-extension
Unknown Can field foraging data be fit by index policies equivalent to Gittins or UCB rules under realistic patch renewal noise, and where do animals systematically deviate? u-marginal-value-theorem-bandit-bridge

Active Hypotheses

Hypothesis In laboratory patch-foraging with humans, patch-leaving times will track a UCB-like opportunity-cost threshold more closely when travel times are salient than when they must be learned implicitly. medium
Hypothesis Elasticity analysis of the Leslie matrix (proportional sensitivity of ฮปโ‚ to vital rate changes) reliably identifies the life-history transition that most effectively increases population growth rate, and conservation interventions targeting high-elasticity stages will achieve faster population recovery than interventions targeting other stages, across a broad range of taxa high

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