Origin Of Incompatibility Research Articles

Revisiting the peridynamic motion equation due to characterization of boundary conditions

The peridynamic motion equation was investigated once again. The origin of incompatibility between boundary conditions and peridynamics was analyzed. In order to eliminate this incompatibility, we proposed a new peridynamic motion equation in which the effects of boundary traction and boundary displacement constraint were introduced. The new peridynamic motion equation is invariant under the transformations of rigid translation and rotation. Meanwhile, it also satisfies the requirements of total linear and angular momentum equilibrium. By this motion equation, three kinds of boundary value problems containing the displacement boundary condition, the traction boundary condition and mixed boundary condition are characterized in peridynamics. As examples, we calculated static tension and longitudinal vibration of a finite rod. The acquired solutions exhibit obvious nonlocal features, and the vibration has the dispersion similar to one dimensional atom chain vibration.

Ecological Divergence and the Origins of Intrinsic Postmating Isolation with Gene Flow

The evolution of intrinsic postmating isolation has received much attention, both historically and in recent studies of speciation genes. Intrinsic isolation often stems from between-locus genetic incompatibilities, where alleles that function well within species are incompatible with one another when brought together in the genome of a hybrid. It can be difficult for such incompatibilities to originate when populations diverge with gene flow, because deleterious genotypic combinations will be created and then purged by selection. However, it has been argued that if genes underlying incompatibilities are themselves subject to divergent selection, then they might overcome gene flow to diverge between populations, resulting in the origin of incompatibilities. Nonetheless, there has been little explicit mathematical exploration of such scenarios for the origin of intrinsic incompatibilities during ecological speciation with gene flow. Here we explore theoretical models for the origin of intrinsic isolation where genes subject to divergent natural selection also affect intrinsic isolation, either directly or via linkage disequilibrium with other loci. Such genes indeed overcome gene flow, diverge between populations, and thus result in the evolution of intrinsic isolation. We also examine barriers to neutral gene flow. Surprisingly, we find that intrinsic isolation sometimes weakens this barrier, by impeding differentiation via ecologically based divergent selection.

Disputed Ancestry: Comments on a Model for the Origin of Incompatibility in Flowering Plants [with Reply

Disputed Ancestry: Comments on a Model for the Origin of Incompatibility in Flowering Plants [with Reply

Disputed Ancestry: Comments on a Model for the Origin of Incompatibility in Flowering Plants.

Disputed Ancestry: Comments on a Model for the Origin of Incompatibility in Flowering Plants.

The “Zavada hypothesis”: a rebuttal rebutted

SummaryGibbs, P.: The “Zavada hypothesis”: a rebuttal rebutted. ‐ Taxon 40: 583–595. 1991. ‐ISSN 0040‐0262.The Zavada hypothesis, that there is a correlation between the various types of self‐incompatibility mechanisms found in angiosperms and details of pollen exine sculpturing, is addressed again. In the light of a recent further defence of the hypothesis, some errors in the original data on which it was based are considered, and some criticisms by Zavada of a different data base are discussed.