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The effective temperature, one of the most fundamental atmospheric parametersof a star, can be estimated using various methods, and here we focus on themethod using line-depth ratios (LDRs). This method combines low- andhigh-excitation lines and makes use of relations between LDRs of these linepairs and the effective temperature. It has an advantage, for example, of beingminimally affected by interstellar reddening, which changes stellar colours. Wereport 81 relations between LDRs and the effective temperature established withhigh-resolution, $\lambda /\Delta \lambda \sim 28,000$, spectra of nine G- toM-type giants in Y and J bands. Our analysis gives the first comprehensive setof LDR relations for this wavelength range. The combination of all theserelations can be used to determine the effective temperatures of stars thathave 3700<Teff<5400K and -0.5<[Fe/H]<+0.3dex to the precision of $\pm $10K inthe best cases.

Method to Estimate the Effective Temperatures of Late-Type Giants using Line-Depth Ratios in the Wavelength Range 0.97-1.32$\mu $m