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We investigate the radial velocity variation of GJ 581 based on measurementsfrom the HARPS and Keck HIRES spectrographs. A Fourier pre-whitening procedureis able to extract four planetary signals in the HARPS data and two from theKeck data. Combining both data sets increases the significance of the fourplanet signals found by HARPS. This indicates that the Keck data also supportsthe presence of four planets. A periodogram analysis of the residual radialvelocity measurements after removal of the four planetary signals shows severalperiodic signals that are significant when assessing the false alarmprobability via a bootstrap. However, it is demonstrated that these are not dueto planetary companions. This analysis is able to confirm the presence of fourplanets around GJ 581, but not the presence of GJ 581g.

An investigation into the radial velocity variability of GJ 581 - On the significance of GJ 581g