6 problems

Consider the two-locus migration-selection model on the real line with the paper's step environment and admissible parameter combinations. A two-locus cline is a non-constant stati…

Let $s(p_A)$ be the global steepness measure of the allele-frequency cline at locus $A$, and let $\rho$ be the recombination rate. Steepness monotonicity conjecture. The quantity…

When recombination is absent, the four gametes are $AB$, $Ab$, $aB$, and $ab$, with frequencies $p_1,p_2,p_3,p_4$, respectively. Consider the cline on the edge of the gamete-freque…

Positivity conjecture for $J$.

Let $D(x)$ denote linkage disequilibrium in a two-locus cline on the real line, under the model assumptions and for any admissible parameter combination. Positivity conjecture. … T…

Boundary-condition conjecture. Every such stationary solution automatically satisfies these boundary conditions. The claim concerns the regularity and asymptotic behavior required…