Murari Singh

Nocturnal Wind Structure and Plume Growth Rates Due to Inertial Oscillations

Abstract Theoretical plume growth rates depend upon the atmospheric spatial energy spectrum. Current grid-based numerical models generally resolve large-scale (synoptic) energy, while planetary boundary layer turbulence is parameterized. Energy at intermediate scales is often neglected. In this study, boundary layer radar profilers are used to examine the temporal energy spectrum, which can provide information about the atmospheric structure affecting plume growth rates. A boundary layer model (BLM) into which the radar information has been assimilated is used to drive a Lagrangian particle model (LPM) that is subsequently employed to examine plume growth rates. Profiler and aircraft data taken during the 1995 Southern Oxidants Study in Nashville, Tennessee, are used in the model study for assimilation and evaluation. The results show that the BLM without assimilation significantly underestimates the strength of the diurnal–inertial spectral peak, which in turn causes an underestimate of plume spread. Com...

PARTIAL DIALLEL CROSSES IN INCOMPLETE BLOCKS

Various forms of diallel crosses play an important role in evaluating the breeding potential of genetic material in plant and animal breeding (e.g., Hinkelmann, 1975, inA Survey of Statistical Design and Linear Models, 243-269. Amsterdam: North Holland). In this paper we consider the use of partial diallel crosses in incomplete block designs as environment designs. We discuss in detail a particular method of constructing such combined mating-environment designs by relating both component designs to certain types of partially balanced incomplete block designs. This method is compared with a generally applicable method of embedding partial diallel crosses in existing incomplete block designs as environment designs.

Analysis of Partial Diallel Crosses in Incomplete Blocks

With a large number of lines in a diallel cross experiment, the number of crosses becomes unmanageable to be accommodated in homogeneous blocks. To overcome this problem, a sample of crosses, known as partial diallel cross (PDC) is often used. The selection of a PDC is based on the criterion of high efficiency for the estimation of general combining ability (gca) effects. Even with a moderately large number of crosses, the use of incomplete blocks is necessary to obtain homogeneous experimental units. The analysis of data from a general PDC grown in general incomplete block designs is being described. An iterative scheme is being developed for obtaining a generalized inverse of the information matrix used in estimating gca effects. Properties such as connectedness and efficiency of mating designs embedded in environment designs are being examined. The paper also examines the universal optimality of some designs in a class of designs. An illustration of the numerical procedure is also presented.

Robustness of row-column designs

Robustness of designs eliminating heterogeneity in two directions to outliers is studied. The important class of variance balanced row-column designs which satisfy the property of adjusted orthogonality are shown to be robust. Some general three-way balanced designs with balanced column vs row classification are also shown to be robust.

Analysis of PBIB designs using association matrices

SummaryIt is shown that the idempotent matrices of the information matrix of anm-associate class PBIB design can be obtained in terms of its association matrices. Some Special cases are also considered.

Estimating the sum of two ratios of parameters and an application 1

An asymptotic confidence interval for estimating the sum of two ratios of parameters is derived. Test statistics for the same are also proposed. The results presented are discussed with the help of a simulation study for some selected values of various parameters. Finally, an application of these results in intercropping experiments is described.