Nicholas Davies edited Method.tex  about 8 years ago

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\section{Method}  \textit{Eucalyptus bosistoana} was planted as seedlings into 100 (check this) L planting bags at an irrigated nursery site in Harewood, Christchurch, New Zealand. Two separate plantings occurred in 2010, and in 2012 (months?) The 2010 plant genetics originated from south east Australia and were harvested and coppiced in 2012 and harvested again in December 2014. The 2012 planting genetics originated from higher altitudes in New South Wales and was harvested in 2013 (at one year old, data not incorporated due to the magnitude of errors induced by small malformed stems) and again October 2015 (at age two).  When harvested each sample was processed for growth strain, volumetric shrinkage (displacement method, before and after drying), stem diameter (measured under bark using digital callipers), basic density (mass and displacement method) and dry acoustic velocity (resonance from WoodSpec --ref--). Growth strain was measured using a modified version of --kens refs-- \cite{Chauhan_2010} \cite{Entwistle_2014}  method. The newly developed "rapid splitting test" substantially reduces measurement time enabling larger numbers of samples to be processed. The new method involves stripping the bark and measuring the under-bark big end diameter of a clear section of the stem, giving an over estimate of the average diameter used by --ref--. \cite{Chauhan_2010}.  The slit length is determined by the length of clear wood and diameter of the sample. Diameter and slit length are measured, record and the stem cut. The small end of the sample is left intact with the large end free to distort, (removing the need to clamp the two halves togeather) the opening is measured and recorded. The calculation of strain is unchanged (with the exception that average radius is now big end radius) from --ref-- and calculated using equation --crossref--. It is important to note that the over estimate of radius slightly reduces the strain value, but does so linearly over all samples. -- GS equation, and maybe image? -- 

--H2 equation--  Analysis was conducted in R (--ref--) (--ref--)\cite{R}  and JAGS (--ref--), (--ref--)\cite{RJAGS},  utilizing a Bayesian approach to estimate the heritability of growth strain and other wood properties. The effect of coppicing and section were included as fixed effects, while half sibling family and the individual trees are included as random effects. Physically although all specimens were grown on the same site, they were grown during different time periods which was confounded by the originating genetics of the two populations and hence are included as the fixed effect, section. --mathematical description of the Bayesian code--