Oyster_Volumes: Formula that calculates volume of the shell through time
Description
Formula that calculates the volume of the bivalve shell during the
time of deposition of each sub-increment.
de Winter, N. J. (2017) <doi:10.5194/gmd-2017-137>
Data frame that contains characteristics of every
sub-increment
Z_mat
Matrix of Z-values for each X-value and each sub-increment
IncG
Matrix of X- and Y-coordinates of all interpolated sub-increments
Xstep
Step value in X-direction for the interpolation of sub-increments
Value
A list of two data frames:
subincr_matrix
Updated data frame that contains characteristics of every
sub-increment with modelled shell volumes added to the matrix
IncGAnet
Matrix of areas of cross sections in YZ-directions sorted by
X-values and by sub-increment
Details
Volume is calculated for each sub-increment and each X-value based on
cross sections perpendicular to the XY-plane. Area of the shell in this
cross section is calculated by constructing a circle section through the
intercept with the base ellipse and the top of the shell sub-increment.
See paper de Winter, GMD (in review) for details and illustrations
References
de Winter, N. J.: ShellTrace v1.0 ? A new approach for modelling
growth and trace element uptake in marine bivalve shells: Model verification
on pacific oyster shells (Crassostrea gigas), Geosci. Model Dev. Discuss.,
https://doi.org/10.5194/gmd-2017-137, in review, 2017.