Crate dial_ecology 

dial-ecology

Lotka-Volterra dynamics for musical tradition competition on cultural dials.

Musical traditions compete for listener attention like species compete for resources. This crate models tradition population (popularity) dynamics using competitive Lotka-Volterra equations:

dT_i/dt = r_i · T_i · (1 - Σ_j α_ij · T_j / K_i)

where:

• T_i is the population (popularity) of tradition i
• r_i is the intrinsic growth rate
• K_i is the carrying capacity
• α_ij is the competition coefficient (niche overlap)

Modules

• tradition — Musical traditions with dial positions
• lotka_volterra — ODE solver (Euler, RK4)
• niche — Niche overlap from cultural dial distances
• equilibrium — Fixed point and stability analysis
• succession — Ecosystem evolution simulation
• biodiversity — Shannon, Simpson diversity indices

Re-exports

pub use biodiversity::BiodiversityReport;

pub use biodiversity::compute as compute_biodiversity;

pub use error::EcologyError;

pub use equilibrium::Equilibrium;

pub use lotka_volterra::LotkaVolterraConfig;

pub use lotka_volterra::SimulationResult;

pub use lotka_volterra::SolverMethod;

pub use lotka_volterra::solve;

pub use lotka_volterra::solve_to_equilibrium;

pub use niche::NicheOverlap;

pub use succession::SuccessionModel;

pub use succession::SuccessionResult;

pub use tradition::Tradition;

Modules

biodiversity

equilibrium

error

lotka_volterra

niche

succession

tradition