## 5 Discussion of the Obtained Results  
So far, no detailed analyses of mapping of the deflection curve of a geosynthetic have been presented in the literature. The authors propose a fit measure defined as the mapping error (see Section 2). [PERSON] and [PERSON] [38] and [PERSON] [10] analysed which of the distributions: triangular, uniform or inverse triangular gives the best fit to the obtained displacement results. However, no measure was used in those analyses. The measure of matching proposed by the authors of this article in the form of a relative error of the deflection curve mapping allowed to quantify the accuracy of mapping the deflection curve of the reinforcement depending on the distribution of the equivalent load. In the case of tests for which soil between the columns does not participate in the load transfer (\(k=0\)), the distribution that allowed the deflection curve of the reinforcement to be determined with the smallest error was the distribution represented by \(\delta=0\) for test K2, \(\delta=0.025\) for test T3, \(\delta=0.125\) for C_L and \(\delta=0.125\) for C_R. In any case, the mapping error increases for different values of \(\delta\). Therefore, it can be concluded that in the case where the subgrade reaction is zero or very low, the inverse triangular distribution allows to determine the behaviour of the LTP reinforcement more precisely than the uniform and triangular distributions. This conclusion is in accordance with those presented in [9; 10]. In [9], the correctness of the equivalent load distribution was determined by comparing the shape of the deflection curve. However, it should be remembered that the accuracy of mapping for cases with \(k=0\) is influenced not only by the shape of the deflection curve under a given load distribution, but also by the \(q_{av}/\!/\) ratio (see Figures 10 and 11). While the stiffness value \(J\) is a parameter that characterizes the reinforcement and results from the reinforcement properties, the \(q_{av}\) value depends on the adopted arching model and may be more or less correctly determined. Comparing centrifuge testing and analytical modelling, [PERSON] et al. [39] analysed also the influence of load distribution on the values of reinforcement deflection. In the presented in [39] case, an inverse triangular distribution gave deflection values lower than the uniform distribution. In turn, uniform distribution gave deflection values lower than the triangular distribution. However, the results of the conducted research, obtained by [PERSON] et al. [39], did not make it possible to unequivocally state which of the distributions is the best. The results of the study on the influence of the equivalent distribution on the correct mapping of the reinforcement deflection curve have shown that in most of the analysed cases the smallest error value corresponds to the inverse triangular or close distribution, and the largest to the triangular one. [PERSON] et al. [40] indicated that the inverse triangular load distribution and the three dimensional Concentric Arches model proposed by [PERSON] [10] seems to be more realistic than the approach of the EBGEO both under static and cyclic loading. The authors of this article analysed only the second step of the calculations, assuming the value of the load for reinforcement and soil between the columns as data resulting from measurements. The results of the calculations performed allow to confirm the conclusions formulated in [40] regarding the distribution of equivalent load. For all analysed cases, the obtained error was lower for mapping the reinforcement deflection curve for the inverse triangular distribution than for the triangular distribution used in the EBGEO. However, not in every case the smallest mapping error value corresponds to the inverse triangular distribution (see Figure 15). In the case of the French full-scale test, measurements were carried out at certain intervals from the moment of geosynthetic installation. This allowed for the analysis of reinforcement behaviour over time.