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\section{Introduction}  Eucalypt species are fast growing and can produce high quality timber for appearance, structural and engineered wood products. Large growth-strains displayed in eucalypts are associated with log splitting, warp, collapse and brittleheart, imposing substantial costs on processing \cite{yamamoto2007slides}. Costly mitigation strategies have been developed to reduce growth-strain induced wood defects that have been only partially effective \cite{yamamoto2007slides}. With growth-strain being highly heritable, as is shown here, an alternative approach is to select and grow individuals which display low growth-strain. Until now it has been difficult, time consuming and expensive to measure growth-strain, preventing the assessment of the large number of trees needed in a successful breeding programme, previously the largest reported studies \cite{Murphy_2005} \cite{naranjo2012early}--dundii and teak ref--  conducted growth-strain testing on xxx trees. 164 and 216 trees respectively.  Utilising the developments made by --ken refs--\cite{Chauhan_2010} \cite{Chauhan_2010}  \cite{Entwistle_2014}, a rapid growth strain testing procedure has been developed. In order to minimise the time taken to conduct the growth strain testing on each individual the rapid testing procedure can not account for negative values, where the wood in the centre of the stem is under tension rather than compression, resulting in a left censored dataset. Left censored data is common in research areas where detection limits are high compared to the measured values, such as testing for the presents of dugs within an animal --ref--. Bayesian statistics can be used to simulate the missing data from known data, reducing the error induced by zero inflated data sets.   Here growth strain, and other wood properties (density, diameter at age two, volumetric shrinkage, acustic velocity and stiffness) are measured on xxx individuals, 623 individuals (stems),  from xxx 40  half sibling families of \textit{Eucalyptus bosistona}, form two trials consisting of both seed and coppice grown stems. Estimates of narrow sense heritability are obtained from left censored growth strain data and other wood properties, utilising a Bayesian approach.