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We propose a normalised distance in order to reduce the sensitivity of threshold selection: (4).
The normalised distance is defined as the quotient between the position of the considered soil trench and the distance to the tree stems.
In Figure 6, we graph the normalised pressure (P - P L )/(P 0 - P L ) as a function of the normalised distance along the axis z/L for various values of the parameter ε.
We also define as user satisfaction SA c, the normalised distance of the network response time R c from the maximum value of the response time R c max to the interval of the maximum response time minus the minimum response time R c min. Therefore, user satisfaction is analysed as follows, based on the work [1]: S A c = R c max - R c R c max - R c min (1).
Additional file 1: Normalised distance information.
Processed data are provided as.TIFF files of sample locations, and.TXT files of sampled data in an x- y coordinate format, and a normalised distance format.
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Figure 8(a) shows the normalised tissue area (tissue area divided by initial resting area) and Figure 8(b) shows normalised length (distance from the top to bottom through the central fibre divided by the resting length) throughout the contraction.
The three values of reinforcement obtained for the middle distance between trees (0.5, 1.5, 2.5 normalised distances) follow similar trends, whereas the results at 1.25 and 1.75 normalised distances show inverse trends with higher root reinforcement for the 160 sph than the 210 and 237 sph.
The positions of the tree stems correspond to normalised distances of 0, 1, 2, and 3. Using the calibrated root distribution model, threshold values of minimum root reinforcement (2, 5, 10, and 15 N m−1) were then able to be calculated considering different combinations of stems per hectare and mean stem DBH at stand scale.
This can be considered as the normalised Manhattan Distance.
The thickness of the film is an additive modification of the Nusselt model thickness δ+=δN++δwave+=0.91η−2/3+1.95η−3, where η is a normalised radial distance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com