The genetic structure of five natural populations of common wild rice Oryza rufipogon Griff. from China, was investigated with 21 microsatellite loci and compared to estimates of genetic diversity and genetic differentiation detected by 22 allozyme loci. Microsatellite loci, as expected, have much higher levels of genetic diversity (mean values of A = 3.1, P = 73.3%, Ho = 0.358 and He = 0.345) than allozyme loci (mean values of A = 1.2, P = 12.7%, Ho = 0.020 and He = 0.030). Genetic differentiation detected by microsatellite loci ( FST = 0.468, mean I = 0.472) was higher than that for allozyme loci ( FST =0.388, mean I = 0.976). However, microsatellite markers showed less deviation from Hardy-Weinberg expectation (Wright's inbreeding coefficient FIS = -0.069) than do allozymes ( FIS = 0.337). These results suggest that microsatellite markers are powerful high-resolution tools for the accurate assessment of important parameters in population biology and conservation genetics of O. rufipogon, and offer advantages over allozyme markers.
A new approach (Domain-Element Local Integro-Differential-Equation Method -DELIDEM) is developed and implemented for the solution of 2-D potential problems in materials with arbitrary continuous variation of the material parameters. The domain is discretized into conforming elements for the polynomial approximation and the local integro-differential equations (LIDE) are considered on subdomains determined by domain elements and collocated at interior nodes. At the boundary nodes, either the prescribed boundary conditions or the LIDE are collocated. The applicability and reliability of the method is tested for several numerical examples.
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