## 4 Conclusions  
In recent decades, there has been an increasing effort in the direction of such research, of which the results can contribute to the development of circular food systems. This also \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Time (Month)**} & \multirow{2}{*}{**Treatment**} & \multicolumn{5}{c}{**Package Type**} \\ \cline{3-6}  & & **PE** & **PLA** & **MPP** & **PP** \\ \hline
0 & A–E- & 0.74 \(\pm\) 0.09 a,A,\(\alpha\) & 0.92 \(\pm\) 0.03 a,B,\(\alpha\) & 3.46 \(\pm\) 0.03 c,C,\(\beta\) & 1.07 \(\pm\) 0.10 a,D,\(\alpha\) \\
4 & A–E- & 1.05 \(\pm\) 0.04 b,B,\(\alpha\)\(\beta\) & 0.99 \(\pm\) 0.01 a,B,\(\alpha\) & 0.79 \(\pm\) 0.16 a,A,\(\alpha\) & 2.74 \(\pm\) 0.12 c,C,\(\beta\) \\
8 & A–E- & 1.22 \(\pm\) 0.49 \(\beta\) & 1.05 \(\pm\) 0.16 \(\alpha\) & 1.13 \(\pm\) 0.37 \(\alpha\) & 1.04 \(\pm\) 0.17 \(\alpha\) \\ \hline
0 & A–E+ & 3.61 \(\pm\) 0.27 b,C,\(\gamma\) & 1.50 \(\pm\) 0.17 b,A,\(\beta\) & 2.08 \(\pm\) 0.20 b,B,\(\gamma\) & 1.93 \(\pm\) 0.16 b,B,\(\alpha\) \\
4 & A–E+ & 0.99 \(\pm\) 0.16 b,A,\(\alpha\) & 4.99 \(\pm\) 0.11 b,D,\(\gamma\) & 1.54 \(\pm\) 0.28 b,B,\(\beta\) & 2.29 \(\pm\) 0.05 b,C,\(\beta\) \\
8 & A–E+ & 1.80 \(\pm\) 0.25 b,B & 0.89 \(\pm\) 0.10 a,A,\(\alpha\) & 1.00 \(\pm\) 0.11 a,A,\(\alpha\) & 1.90 \(\pm\) 0.23 b,B,\(\alpha\) \\ \hline
0 & N–E- & 3.49 \(\pm\) 0.52 b,B,\(\beta\) & ** & 0.96 \(\pm\) 0.12 a,A & 1.06 \(\pm\) 0.10 a,A,\(\beta\) \\
4 & N–E- & 0.79 \(\pm\) 0.03 \(\alpha\) & ** & 0.69 \(\pm\) 0.15 & 0.91 \(\pm\) 0.02 \(\alpha\) \\
8 & N–E- & 0.85 \(\pm\) 0.02 \(\alpha\) & ** & 0.95 \(\pm\) 0.10 & 0.79 \(\pm\) 0.05 \(\alpha\) \\ \hline \hline \end{tabular}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Time (Month)**} & \multirow{2}{*}{**Treatment**} & \multirow{2}{*}{**PE**} & \multirow{2}{*}{**PLA**} & \multirow{2}{*}{**MPP**} & \multirow{2}{*}{**PP**} \\ \cline{3-6}  & & & & & \\ \hline
0 & A–E- & 0.74 \(\pm\) 0.09 a,A,\(\alpha\) & 0.92 \(\pm\) 0.03 a,B,\(\alpha\) & 3.46 \(\pm\) 0.03 c,C,\(\beta\) & 1.07 \(\pm\) 0.10 a,D,\(\alpha\) \\
4 & A–E- & 1.05 \(\pm\) 0.04 b,B,\(\alpha\)\(\beta\) & 0.99 \(\pm\) 0.01 a,B,\(\alpha\) & 0.79 \(\pm\) 0.16 a,A,\(\alpha\) & 2.74 \(\pm\) 0.12 c,C,\(\beta\) \\
8 & A–E- & 1.22 \(\pm\) 0.49 \(\beta\) & 1.05 \(\pm\) 0.16 \(\alpha\) & 1.13 \(\pm\) 0.37 \(\alpha\) & 1.04 \(\pm\) 0.17 \(\alpha\) \\ \hline
0 & A–E+ & 3.61 \(\pm\) 0.27 b,C,\(\gamma\) & 1.50 \(\pm\) 0.17 b,A,\(\beta\) & 2.08 \(\pm\) 0.20 b,B,\(\gamma\) & 1.93 \(\pm\) 0.16 b,B,\(\alpha\) \\
4 & A–E+ & 0.99 \(\pm\) 0.16 b,A,\(\alpha\) & 4.99 \(\pm\) 0.11 b,D,\(\gamma\) & 1.54 \(\pm\) 0.28 b,B,\(\beta\) & 2.29 \(\pm\) 0.05 b,C,\(\beta\) \\
8 & A–E+ & 1.80 \(\pm\) 0.25 b,B & 0.89 \(\pm\) 0.10 a,A,\(\alpha\) & 1.00 \(\pm\) 0.11 a,A,\(\alpha\) & 1.90 \(\pm\) 0.23 b,B,\(\alpha\) \\ \hline
0 & N–E- & 3.49 \(\pm\) 0.52 b,B,\(\beta\) & ** & 0.96 \(\pm\) 0.12 a,A & 1.06 \(\pm\) 0.10 a,A,\(\beta\) \\
4 & N–E- & 0.79 \(\pm\) 0.03 \(\alpha\) & ** & 0.69 \(\pm\) 0.15 & 0.91 \(\pm\) 0.02 \(\alpha\) \\
8 & N–E- & 0.85 \(\pm\) 0.02 \(\alpha\) & ** & 0.95 \(\pm\) 0.10 & 0.79 \(\pm\) 0.05 \(\alpha\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Peroxide value of the samples during storage (meqO\({}_{2}\)/kg). appears in the legislation and legislative strategies, thus supporting industry participants to use processing that is more beneficial for the environment [62]. In this research, we examined one of the possible uses of walnut pellets (rich in phenolic compounds), a byproduct of walnut oil production. Across all analyses--total polyphenol content,tocopherol levels, fatty acid composition, color parameters, and peroxide values--nitrogen treatment combined with metallized polypropylene (MPP-N) consistently outperformed other packaging types and treatments in preserving walnut quality over time. PE also demonstrated favorable results under nitrogen treatment, particularly in the early months, but showed more degradation by the end of the study. We can conclude that for the longer storage period of walnuts (min.