2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106211This paper is an adaptation of a method used in \cite{K} to the model of random quadrangulations. We prove local weak convergence of uniform measures on quadrangulations and show that the local growth of quadrangulation is governed by certain critical time-reversed branching process and the rescaled profile converges to the reversed continuous-state branching process. As an intermediate result we derieve a biparametric generating function for certain class of quadrangulations with boundary.23 pages, 10 figuresProbability60C05, 60J80text