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In this paper, we consider the time averaged distribution of discrete timequantum walks on the glued trees. In order to analyse the walks on the gluedtrees, we consider a reduction to the walks on path graphs. Using a spectralanalysis of the Jacobi matrices defined by the corresponding random walks onthe path graphs, we have spectral decomposition of the time evolution operatorof the quantum walks. We find significant contributions of the eigenvalues $\pm1$ of the Jacobi matrices to the time averaged limit distribution of thequantum walks. As a consequence we obtain lower bounds of the time averageddistribution.

Localization of discrete time quantum walks on the glued trees