Stability analyses for estimating relative durability of quantitative resistance

Summary Experiments in which a series of host cultivars are inoculated in all combinations with a series of pathogen isolates have been used to detect specificity in the host resistance. A theoretical model of polygenic resistance involving both general and specific interactions with pathogen virulence was developed to test the abilities of statistical analyses to discriminate between host genotypes with different levels of general and specific resistance. Estimates of levels of specific resistance could be obtained in regressions of disease severity scores for each host cultivar X pathogen isolate combination vs. the virulence index of each isolate. If the virulence index was based on the mean disease severity induced by the isolate over all host cultivars, the slopes of the regression lines were correlated with the levels of specific resistance in host cultivars. If the virulence index was based on the disease severity induced by the isolate on a host cultivar with a minimum of specific resistance, the mean squares for deviations from the regression were correlated with the levels of specific resistance in host cultivars. A method was developed to consistently choose host cultivars with minimum specific resistance. The two regression analyses gave estimates of specificity in randomly generated, model genotypes of approximately equal accuracy, although the second method appeared to be more accurate when the numbers of loci controlling resistance and virulence were small. The best estimates of numbers of genes for specific resistance were obtained by calculating a rating based on mean disease severity, the mean square for deviation from the regression on the virulence index based on disease severity on the cultivar with minimum specific resistance and the slope of the regression on the virulence index based on the mean disease severity. The best estimates of proportions of resistance genes that were specific were obtained by calculating a rating based on the above deviation mean square and slope alone.Cooperative investigation of the U.S. Department of Agriculture, Agricultural Research Service and the North Carolina Agricultural Research Service. Journal Series Paper No. 8326 of the North Carolina Agricultural Research Service     

On a method of estimating the genetic correlation between characters measured in different experimental units

Summary Yamada's method of estimating genetic co-variances between traits measured in different experimental units is discussed. It is shown that if the data are unbalanced, this method gives biased estimates of genetic covariances unless the traits have identical genetic and residual variances. An alternative unbiased procedure is suggested.     

A theoretical method for evaluating the relative importance of positive selection and neutral drift from observed base changes

To evaluate the relative importance of positive selection and neutral drift from the nucleotide base changes observed in the homologous alignment of genes, a theoretical equation of base changes is formulated by including both the influence of selection and the base substitutions due to mutations. Under the assumption that the average rate of base substitutions estimated from synonymous changes is the ``true' mutation rate applicable at all positions, this method is applied to the vertebrate globin gene family, and evaluates the departures of base change rates from the ``true' mutation rate at the first and second codon positions as a consequence of preferential selection for the conservation of important function. In addition to the strong effect of selection on the amino acid residues in the internal region mostly common to myoglobin and hemoglobin chains, the distinctive directions of selective parameter values are seen at sites on the globin surface, distinguishing the subunit contact residues of hemoglobins from the polar residues on the surface of myoglobins. Moreover, this effect of selection distinguishing between the myoglobin and hemoglobin chain genes becomes weaker in cold-blooded vertebrates, especially in fish, strongly suggesting the possibility that the clear distinction between these globins is a result of selection out of the changes regarded as neutral ones in an ancestor of vertebrates. Thus, the present method may also serve to investigate the homology of many other proteins from the aspect of molecular evolution, mainly focusing on the evolution of their biological functions. Received: 2 January 1996 / Accepted: 20 February 1997     

A novel method for estimating linkage maps

The goal of linkage mapping is to find the true order of loci from a chromosome. Since the number of possible orders is large even for a modest number of loci, the problem of finding the optimal solution is known as a NP-hard problem or traveling salesman problem (TSP). Although a number of algorithms are available, many either are low in the accuracy of recovering the true order of loci or require tremendous amounts of computational resources, thus making them difficult to use for reconstructing a large-scale map. We developed in this article a novel method called unidirectional growth (UG) to help solve this problem. The UG algorithm sequentially constructs the linkage map on the basis of novel results about additive distance. It not only is fast but also has a very high accuracy in recovering the true order of loci according to our simulation studies. Since the UG method requires n-1 cycles to estimate the ordering of n loci, it is particularly useful for estimating linkage maps consisting of hundreds or even thousands of linked codominant loci on a chromosome.     

A stereological method for estimating fish fecundity

This paper describes the application and evaluation of a stereological method for counting fish oocytes. The method has been applied to herring, Clupea harengus L., Dover sole, Solea solea L., and mackerel, Scomber scombrus L., and compared with existing volumetric and/or automated particle counter methods. The stereological method has been shown to given similar results and to have a number of distinct advantages over the other methods.     

A spectrophotometric method for estimating hemin in biological systems

Hemin chlorides exhibit two absorption maxima in the Soret region, one at about 360-380 nm (S' band) and the other between 400 and 430 nm (S band). We present here a simple and fast spectrophotometric assay to determine concentration of hemin between 1.15 and 9.20 microM employing the Soret region (S' band) as a reference. In this method the hemin is quantitatively extracted from biological materials by acidified chloroform. By recording the absorbance of the chloroform extract at its maximum peak at 388, 450, and 330 nm and applying the correction formula A(c)=2A388-(A450+A330), a very good linear correlation between the A(c) and the concentration of hemin is attained. The method can be used to estimate hemin in the presence of protein (0.06-5.00 mg/ml) and porphyrin (0.19-2.97 microM). Compared with the pyridine hemochromogen method, the assay reported here is highly reproducible, with 15- to 30-fold more sensitivity, and it allows the quantification of four times lower hemin concentrations.     

A new method for estimating synonymous and nonsynonymous rates of nucleotide substitution considering the relative likelihood of nucleotide and codon changes

A new method is proposed for estimating the number of synonymous and nonsynonymous nucleotide substitutions between homologous genes. In this method, a nucleotide site is classified as nondegenerate, twofold degenerate, or fourfold degenerate, depending on how often nucleotide substitutions will result in amino acid replacement; nucleotide changes are classified as either transitional or transversional, and changes between codons are assumed to occur with different probabilities, which are determined by their relative frequencies among more than 3,000 changes in mammalian genes. The method is applied to a large number of mammalian genes. The rate of nonsynonymous substitution is extremely variable among genes; it ranges from 0.004 X 10(-9) (histone H4) to 2.80 X 10(-9) (interferon gamma), with a mean of 0.88 X 10(-9) substitutions per nonsynonymous site per year. The rate of synonymous substitution is also variable among genes; the highest rate is three to four times higher than the lowest one, with a mean of 4.7 X 10(-9) substitutions per synonymous site per year. The rate of nucleotide substitution is lowest at nondegenerate sites (the average being 0.94 X 10(-9), intermediate at twofold degenerate sites (2.26 X 10(-9)). and highest at fourfold degenerate sites (4.2 X 10(-9)). The implication of our results for the mechanisms of DNA evolution and that of the relative likelihood of codon interchanges in parsimonious phylogenetic reconstruction are discussed.     

A design-based method for estimating glomerular number in the developing kidney

Low glomerular (nephron) endowment has been associated with an increased risk of cardiovascular and renal disease in adulthood. Nephron endowment in humans is determined by 36 wk of gestation, while in rats and mice nephrogenesis ends several days after birth. Specific genes and environmental perturbations have been shown to regulate nephron endowment. Until now, design-based method for estimating nephron number in developing kidneys was unavailable. This was due in part to the difficulty associated with unambiguously identifying developing glomeruli in histological sections. Here, we describe a method that uses lectin histochemistry to identify developing glomeruli and the physical disector/fractionator principle to provide unbiased estimates of total glomerular number (N(glom)). We have characterized N(glom) throughout development in kidneys from 76 rats and model this development with a 5-parameter logistic equation to predict N(glom) from embryonic day 17.25 to adulthood (r(2) = 0.98). This approach represents the first design-based method with which to estimate N(glom) in the developing kidney.     

A simple method for estimating cytoplasmic diffusion coefficients

The diffusion coefficients of radioactively labelled substances in cytoplasm or other fluids are determined in vitro. The fluid containing the labelled substance is filled into a cylinder with one open end, through which the labelled substance diffuses out into a stirred outer medium. The diffusion coefficient is calculated by a one-dimensional diffusion equation from the rate of loss from the cylinder, and the length of the cylinder. The diffusion coefficients of tritiated water in several fluids have been determined. The results are in good agreement with those obtained by other methods.     

A simplified method for estimating ammonium oxidising bacteria

Summary Most probable number of ammonium oxidising bacteria in soil has been estimated without the need to carry out chemical tests to determine the production of nitrite or nitrate in dilution tubes. The medium used contained phenol red which changes colour from pink to yellow as the oxidation of ammonium to nitrate decreases the pH. This makes it possible to determine growth visually. An incubation period of 8 weeks at 25°C was sufficient to obtain maximum estimates of ammonium oxidising bacteria in the soils tested.     

Morphometrics and character state recognition for cladistic analyses in theBletia reflexa complex (Orchidaceae)

Different criteria have been suggested for decisions on character state recognition for morphological characters showing continuous variation from taxon to taxon. A method proposed byMishler andDe Luna seeks to recognize as many character states as the groups of taxon means that are revealed by an analysis of variance (ANOVA) followed by multiple range tests. We apply this method as a guide in decisions of selecting taxonomic characters in species of theBletia reflexa complex. Seven species of the complex, represented by 156 individuals belonging to 54 populations, were the terminal taxa of the study. Character state codes were assigned to 20 characters. These characters together with 12 non-quantitative characters were incorporated into cladistic analyses. Results indicate that the complex is monophyletic only under one outgroup combination.