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We present a procedure for the characterization of packaged Er-Yb-codoped phosphate glass waveguides. The procedure is based on precise measurements of the output optical powers when the waveguide is diode-laser pumped at 980 nm. The dependence of these optical powers on the input pump power is then fitted to the results from a numerical model that describes in detail the propagation of the optical powers inside the waveguide. The best fit is obtained for the following parameters: the signal wavelength scattering losses are α(1534)=8.3×10-2 dB/cm, the Yb3+ absorption and emission cross sections (≈980 nm) are 5.4×10-25 m2 and 7.0×10-25 m2, the Er3+ absorption and emission cross sections (≈980 nm) are 1.6×10-25 m2 and 1.2×10-25 m2, the Yb3+--Er3+ energy-transfer coefficient is 1.8×10-23 m3/s and the cooperative-upconversion coefficient is 8×10-25 m3/s. An approximate method is introduced that allows the determination of the absorption and emission cross section distributions for the erbium 4I132/⇔4I152/ transition from the amplified spontaneous emission power spectrum.