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A simple $\pi \pi$, $\bar{K}K$, and $\rho \rho$($\omega \omega$) fullycoupled channel model is proposed to predict the isoscalar S-wave phase shiftsand inelasticities for $\pi \pi$ scattering in the 1.0 to 2.0 GeV region. TheS-matrix is required to exhibit poles corresponding to the establishedisoscalar J$^{\pi}$ = 0$^+$ resonances f$_0$(975), f$_0$(1400), andf$_0$(1710). A dominant feature of the experimental $\pi \pi$ inelasticity isthe clear opening of the $\bar{K}K$ channel near 1 GeV, and the opening ofanother channel in the 1.4 - 1.5 GeV region. The success of our model inpredicting this observed dramatic energy dependence indicates that the effectof multi-pion channels is adequately described by the $\pi \pi$ coupling to the$\bar{K}K$ channel, the $\rho \rho$(4$\pi$) and $\omega \omega$(6$\pi$)channels.Comment: 11 pages (Revtex 3.0), 4 figs. avail. upon request, RU946

The ?? S-wave in the 1 to 2 GeV region from a ??, $$\bar K$$ K and ??(??) coupled channel model