(a few degrees only). Weak texture is a unique property of some MgB$_{2}$ tapes, since the strongly anisotropic cuprate superconductors have to be highly textured for high intergranular currents 24,25 lead- ing to a pronounced J$_{c}$ -anisotropy. NbTi and Nb$_{3}$Sn on the other hand are isotropic su- perconductors, thus (weak) texture is not expected to influence the properties of wires or tapes. In this report the influence of weak texture on the macroscopic current transport in MgB$_{2}$ will be discussed and the resulting behavior compared to the limiting cases of zero or perfect texture. A general model for nonlinear transport in heterogeneous media was presented in Ref. 14. The critical current was obtained by integrating the percolation cross section, σ$_{p}$ ∝ ( p ( J ) − p$_{c}$ ) $^{t}$, over all possible local currents J . p ( J ) was defined as the fraction of grains with a J local c above J . The percolation threshold, p$_{c}$ , depicts the minimum fraction of superconducting grains for a continuous path through the superconductor. The percolation cross section reduces to zero at p$_{c}$ , which is expected to be around 0.25 in typical poly- crystalline MgB$_{2}$ materials $^{14,26–28}$. This value will be used in the following. The transport exponent, t , is expected to be 1.76 $^{29}$, which will be assumed in the following, although higher values were also observed experimentally $^{26,30}$. Furthermore, a model for the field dependence of the local critical currents is needed for calculating p ( J ). Since grain boundary pinning is dominant in the majority of MgB$_{2}$ conductors $^{9,14,31}$, J local c ∝ (1 − b ) 2 $_{/}$√$_{B}$ was assumed $^{32}$, but contributions of point pins were also reported $^{33,34}$. b denotes the magnetic field normal- ized by the (angular dependent) upper critical field of the grain. Finally, the anisotropic scaling approach 35 was used to model the angular dependence of the local critical currents. Note that we already had to make four approximations/assumptions ( p$_{c}$ , t , pinning model, anisotropic scaling), which influence the field dependence of J$_{c}$ independently of the degree of texture. Texture is a modification of the distribution function of the grains’ orientation. For uniaxial texture and the present geometry (preferred c -axis orientation perpendicular to the tape), the density of grains with a certain orientation only depends on the angle α between the tape normal and the c -axis of the grains. The corresponding distribution function is a II. THE MODEL 3