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We present a tentative constraint on cosmological parameters $\Omega_m$ and$\sigma_8$ from a joint analysis of galaxy clustering and galaxy-galaxy lensingfrom DESI Legacy Imaging Surveys Data Release 9 (DR9), covering approximately10000 square degrees and spanning the redshift range of 0.1 to 0.9. To studythe dependence of cosmological parameters on lens redshift, we divide lensgalaxies into seven approximately volume-limited samples, each with an equalwidth in photometric redshift. To retrieve the intrinsic projected correlationfunction $w_{\rm p}(r_{\rm p})$ from the lens samples, we employ a novel methodto account for redshift uncertainties. Additionally, we measured thegalaxy-galaxy lensing signal $\Delta\Sigma(r_{\rm p})$ for each lens sample,using source galaxies selected from the shear catalog by applying our\texttt{Fourier\_Quad} pipeline to DR9 images. We model these observableswithin the flat $\Lambda$CDM framework, employing the minimal bias model. Toensure the reliability of the minimal bias model, we apply conservative scalecuts: $r_{\rm p} > 8$ and $12 ~h^{-1}{\rm Mpc}$, for $w_{\rm p}(r_{\rm p})$ and$\Delta\Sigma(r_{\rm p})$, respectively. Our findings suggest a mild tendencythat $S_8 \equiv \sigma_8 \sqrt{\Omega_m/0.3} $ increases with lens redshift,although this trend is only marginally significant. When we combine lowredshift samples, the value of $S_8$ is determined to be $0.84 \pm 0.02$,consistent with the Planck results but significantly higher than the 3$\times$2pt analysis by 2-5$\sigma$. Despite the fact that further refinements inmeasurements and modeling could improve the accuracy of our results, theconsistency with standard values demonstrates the potential of our method formore precise and accurate cosmology in the future.

DESI Legacy Imaging Surveys Data Release 9: Cosmological Constraints from Galaxy Clustering and Weak Lensing using the Minimal Bias Model