PROBIT ANALYSIS OF LOW AND VERY-LOW FLUENCE-RESPONSES OF PHYTOCHROME-CONTROLLED Kalanchoe blossfeldiana SEED GERMINATION*

Abstract— Kalanchoë blossfeldiana seeds are light-requiring for seed germination. On water or KNO₃ solution and irradiated with several daily red (R) irradiations, the seeds show a low-fluence (LF) response which is far-red (FR) reversible. Incubated on gibberellic acid (GA₃) the seeds show a very-low-fluence (VLF) response which can be saturated with red as well as with far red light. As germination is a quantal response, the sub-optimal segments of the dose-response curves are analysed by means of probit analysis in order to calculate the seed population parameters. There is a linear relation between the probit of the germination response and the logarithm of the fluence. Moreover, the slope for the VLF as well as for the LF response is the same. The VLF requires about 8 × 10⁴ times less fluence than the LF. VLF saturation with FR requires about 200 times more fluence than with R. Although, GA₃ and KNO₃ modulate VLF and LF, respectively, there is no direct influence on the phytochrome-phototransformations. Once P_fr is formed (in VLF or LF, or preserved in dry seeds) germination is proportional to the GA_S concentration (for VLF and dark germination) or proportional to the KNO, concentration (for LF). The non-photochemical events leading to germination seem to be triggered by a similar action mechanism for both GA, and KNO₃.     

Application of the Beilis-Tappert parabolic equation method to sound propagation over irregular terrain

The Beilis-Tappert (1979) parabolic equation method is attractive for irregular terrain because it treats surface variations in terms of a simple multiplicative factor ("phase screen"). However, implementing the exact sloping-surface impedance condition is problematic if one wants the computational efficiency of a Fourier parabolic equation algorithm. This article investigates an approximate flat-ground impedance condition that allows the Beilis-Tappert phase screen method to be used with a Fourier algorithm without any added complications. The exact sloping-surface impedance condition is derived and applied to propagation predictions over hills with maximum slopes from 5° to 22°. The predictions with the exact impedance condition are compared to predictions using the approximate flat-ground impedance condition. It is found that for slopes less than 15°-20°, the flat-ground impedance condition is sufficiently accurate. For slopes greater than approximately 20°, the limiting factor on numerical accuracy is not the flat-ground impedance approximation, but rather the narrow-angle approximation required by the Beilis-Tappert method. Thus, within the 20° limitation and using the flat-ground impedance condition with a Fourier parabolic equation, sound propagation over irregular terrain can be computed simply, efficiently, and accurately.     

A generalized polar coordinate method for sound propagation over large-scale irregular terrain

The polar coordinate method in You [Ph.D. thesis, The University of Mississippi (1993)] is rederived in differential form and is generalized by defining a local, continuously varying, radius of curvature. The generalization makes it possible to compute sound propagation over arbitrary large-scale terrain where the local radii of curvature are much larger than an acoustic wavelength. For a simple hill, both the original and generalized method are in good agreement with measured low-frequency propagation loss data. The generalized method is applied to more complex terrain in a numerical example. The example demonstrates the utility of the method and also shows that complex terrain can have a significant effect on low-frequency sound propagation, even when the slope angles are small.     

Analysis of Genetic Diversity of Certain Species of Piper Using RAPD-Based Molecular Markers

The utility of RAPD markers in assessing genetic diversity and phenetic relationships of six different species of Piper from Northeast India was investigated. Polymerase chain reaction (PCR) with four arbitrary 10-mer oligonucleotide primers applied to the six species produced a total of 195 marker bands, of which, 159 were polymorphic. On average, six RAPD fragments were amplified per reaction. In the UPGMA phenetic dendrogram based on Jaccard’s coefficient, the different accessions of Piper showed a high level of genetic variation. This study may be useful in identifying diverse genetic stocks of Piper, which may then be conserved on a priority basis.