In this section, we demonstrate the assumptions on which each method is based and the conditions where one can outperform the other.
Although field plots were often elliptical, previous research demonstrates the assumption of circularity to have little effect on values for key LiDAR height metrics (<0.22%) within this dataset (Adams and Pont 2012).
It clearly shows that the stress varies with the fluid density nonlinearly, thus demonstrates the assumption that "the force between fluid and rock is supposed to be proportional to the fluid density" used by former studies (Martys and Chen 1996; Hatiboglu and Babadagli 2007, 2008) is not appropriate.
Whereas the potentials of the methods have been well demonstrated, the assumptions and limitations behind them are often not clearly stated or not well understood.
The aim of this contribution is to demonstrate the latter assumption by proposing an advanced multiobjective genetic algorithm design for the 1/3 variant of the time and space assembly line balancing problem which involves the joint minimization of the number and the area of the stations given a fixed cycle time limit.
The numerical as well as experimental investigations carried out on the model demonstrate the robustness of assumptions made for the analysis carried out towards respecting design code limits as well as raise the confidence on the structural integrity of the roof slab.
Finally, we demonstrate that the assumption of normality can be relaxed to consider arbitrary distributions numerically.
In our subsequent result we demonstrate that the assumption that ((frac{lambda_{i}}{lambda_{1}+cdots+lambda_{i}} )_{i=1} ^{n}) is nonincreasing is not only a technical condition but, in some sense, it is an unavoidable condition.
These studies demonstrate that the assumption of site-independent evolution is overly restrictive and that evolutionary models that take into account context-dependencies greatly improve model fit.
The observations presented so far demonstrate that the assumption of homopecilly, i.e. no change of the substitution process over time, is violated, potentially leading to tree reconstruction artifacts.
