Formula that calculates volume of the shell through time
Formula that calculates volume of the shell through time
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
subincr_matrix: 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
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
Returns
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
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.
Author(s)
Niels J. de Winter
Note
Please cite Geoscientific Model Development paper dealing with the ShellTrace model