The Richit-Richards family of distributions and its use in forestry

Johnson's SB and the logit-logistic are four-parameter distribution models that may be obtained from the standard normal and logistic distributions by a four-parameter transformation. For relatively small data sets, such as diameter at breast height measurements obtained from typical sample plots, distribution models with four or less parameters have been found to be empirically adequate. However, in situations in which the distributions are complex, for example in mixed stands or when the stand has been thinned or when working with aggregated data, then distribution models with more shape parameters may prove to be necessary. By replacing the symmetric standard logistic distribution of the logit-logistic with a one-parameter “standard Richards” distribution and transforming by a five-parameter Richards function, we obtain a new six-parameter distribution model, the “Richit-Richards”. The Richit-Richards includes the “logit-Richards”, the “Richit-logistic”, and the logit-logistic as submodels. Maximum likelihood estimation is used to fit the model, and some problems in the maximum likelihood estimation of bounding parameters are discussed. An empirical case study of the Richit-Richards and its submodels is conducted on pooled diameter at breast height data from 107 sample plots of Chinese fir (Cunninghamia lanceolata (Lamb.) Hook.). It is found that the new models provide significantly better fits than the four-parameter logit-logistic for large data sets

Eml5, a novel WD40 domain protein expressed in rat brain

We have isolated a novel transcript with homology to the major microtubule-associated protein in dividing sea urchin embryos, EMAP. The protein has a predicted MW of similar to 180 kDa and we have named it Eml5 (EMAP-like protein 5, GenBank accession no. AY445136). Eml5 contains 11 putative WD40 domains and 3 hydrophobic stretches of 43 aa, HELP domains, which have been suggested to be involved in microtubule binding. Eml5 appears to consist of two tandem repeats of the complete EMAP protein separated by a putative dimerization domain. Eml5 mRNA and protein is expressed at high levels in the hippocampus, cerebellum and olfactory bulb, as determined by in situ hybridization and immunocytochemistry. Eml5 transcripts can be detected in fore- and hindbrain structures from embryonic day 13 onwards. Because other EMAP-like proteins are involved in regulating microtubule dynamics, it is likely that Eml5 plays a role in the regulation of cytoskeletal rearrangements during neuronal development and in adult brain.Abbreviations: EMAP, echinoderm microtubule-associated protein; EML, EMAP-like protein; MAP, microtubule-associated protein; HELP domain, hydrophobic EMAP-like protein domain; LTP, long-term potentiation; PSD, post-synaptic density