1. Akbar, A., Rumallang, A., Rahmawati, C., & Rusman, M. A. A. 2024. Efficiency analysis of tomato farming (Solanum lycopersicum L.) in the highlands using a frontier stochastic analysis: evidence from Gowa, Indonesia. Rev. Colomb. Cienc. Hortic, 18(3).
2. Akinbola, A. E., Olubunmi-Ajayi, T. S., Ijigbade, J. O., & Akinrotimi, A. F. 2023. Market concentration and efficiency’s determinants of tomato production in Oyo State, Nigeria. Int. J. Appl. Res. Soc. Sci., 6(7): 1333-1345.
3. Alizadeh, P., Mohammadi, H., Shahnoushi, N., Saghaian, S., & Pooya, A. 2019. Evaluating cost structure and economies of scale of beef cattle fattening farms in Mashhad city. J. Agr. Sci. Tech., 21(Suppl.):1753-1766.
4. Anang, B. T., Backman, S., & Rezitis, A. 2016. Does farm size matter? Investigating scale efficiency of peasant rice farmers in northern Ghana. Econ. Bull., 36(4): 2275-2290.
5. Ashrit, R. R. 2022. Exploring the relationship between farm size and productivity: evidence from Indian farms. J. Trop. Agric., 60(2).
6. Ayen, K., Kidane, T., & Wubet, A. 2025. Technical and cost efficiency analysis of irrigated onion production insight from smallholders irrigated onion farmers in north East Amhara National Regional State, Ethiopia. Front. sustain. food syst, 8, 1495820.
7. Bai, X., Salim, R., & Bloch, H. 2019. Environmental efficiency of apple production in China: A translog stochastic frontier analysis. ARER, 48(2): 199-220.
8. Begum, R., Sharmin, S., Mitra, S., Akhi, K., Deb, L., Kamruzzaman, M., & Khan, M. A. 2023. Production risk and technical inefficiency of bean (Phaseolus vulgaris) cultivation in Bangladesh: do socio-economic factors matter?. Soc. Sci. Humanit. Open., 7(1): 100417.
9. Bendjouad, M. 2023. Estimating the agricultural production function in the State of Mila in the period of (1990-2020). Financ. Bus. Econ. Rev., 7(3): 107-119.
10. Chand, S., & Kishore, P. 2021. Whether Source of Irrigation Make Difference in Technical Efficiency of Wheat Growers in Canal Command Areas? A Stochastic Frontier Approach. Indian Journal of Agricultural Economics, 76(1), 159-172.
11. Cheruiyot, J. K., & Sang, N. 2020. Influence of scale of operation and farmers’ risk aversion on sugarcane productivity in Nandi County, Kenya. Asian J. Agric. Ext. Econ. Sociol., 38(3): 14-26.
12. Dalenius, T., & Hodges Jr, J. L. 1959. Minimum variance stratification. J. Am. Stat. Assoc., 54(285): 88-101.
13. Debebe, S., Haji, J., Goshu, D., & Edriss, A. K. 2015. Technical, allocative, and economic efficiency among smallholder maize farmers in Southwestern Ethiopia: Parametric approach. J. Dev. Agric. Econ, 7(8): 282-291.
14. Eder, A. 2025. The Effect of Land Fragmentation on Risk and Technical Efficiency of Austrian Crop Farms. Journal of Agricultural Economics
15. FAOSTAT, F. 2020. Food and agriculture organization of the United Nations (FAO).
16. Farajzadeh, Z., Ghorbanian, E., & Tarazkar, M. H. 2024. Sectoral impacts of climate change in Iran: A dynamic analysis with emphasis on agriculture. Sustainable Production and Consumption, 49, 571-588.
17. Ghasemi, E., Dashti, G., & Ghahramanzadeh, M. 2025. Investigating the factors affecting technical and energy efficiency of onion production in the Tabriz Plain: Application and comparison of physical production and energy-equivalent functions. Agricultural Economics and Development, 32(4), 269–291. https://doi.org/10.30490/aead.2025.365607.1595. (in persian)
18. Hardiyanti, S. P., Ekowati, T., & Roessali, W. 2022. Technical efficiency and economic analysis of usage production factors of potato farming in Ngablak Sub-District, Magelang Regency. Agrisocionomics: Jurnal Sosial Ekonomi Pertanian, 6(2): 269-278.
19. Hassan Shahi, M. 2019. Measuring the impact of intense spring rainfall on the technical efficiency of tomato production in Arsanjan. J. Agric. Econ. Dev., 33(2): 109-124. (in Persian)
20. Ifegwu, K. U., & Ajetomobi, J. O. 2018. Application of stochastic frontier production function to separate the effect of random variation in output from inefficiency in the agricultural production of African countries. SJBEM, 6(9): 32-40.
21. Ji, I., Vitale, J. D., Vitale, P. P., & Adam, B. D. 2023. Technical efficiency of US western great plains wheat farms using stochastic frontier analysis. J. Appl. Econ., 26(1): 2178798.
22. Kalli, R., Jena, P. R., Timilsina, R. R., & Sonobe, T. 2024. Effect of irrigation on farm efficiency in tribal villages of Eastern India. Agricultural Water Management, 291, 108647.
23. Kazmi Shabanzadeh Aflaki, H., Javan Bakht, O., & Alfi, K. 2025. Simultaneous assessment of technical efficiency and production risk of rice fields. Journal of Agricultural Economics and Development, 39(2), 180-165. doi: 10.22067/jead.2025.91636.1327.
24. Kenari, R. E., Borazjani, M. A., Kaikha, A. A., Ziaei, S., & Salarpour, M. 2020. Determination of technical efficiency and optimum size of rice farms in Mazandaran province (case study: Fereydunkenar county). Int. J. Agric. Manag. Dev., 10(3): 257-265.
25. Kerorsa, G. M. 2025. Determinants of technical efficiency among smallholder maize producing farmers in Guto Gidda district, Oromia, Ethiopia. Discov. glob. soc, 3(1): 1-24.
26. Kumar, K. K., & Moharaj, P. 2023. Farm size and productivity relationship among the farming communities in India. Outlook Agric., 52(2): 212-227.
27. KUSZ, D., & KUSZ, B. 2024. FARM SIZE AND TECHNICAL EFFICIENCY OF THE AGRICULTURAL SECTOR IN THE EUROPEAN UNION (EU-27). Scientific Papers Series Management, Economic Engineering in Agriculture & Rural Development, 24(2).
28. Lestari, E. P., Prajanti, S. D. W., Adzim, F., Mubarok, F., & Hakim, A. R. 2024. Assessing production and marketing efficiency of organic horticultural commodities: A stochastic frontier analysis. Economies, 12(4), 90.
29. Liu, J., Zhang, C., Hu, R., Zhu, X., & Cai, J. 2019. Aging of agricultural labor force and technical efficiency in tea production: Evidence from Meitan County, China. Sustainability, 11(22), 6246.
30. Lu, H., Xie, H., He, Y., Wu, Z., & Zhang, X. 2018. Assessing the impacts of land fragmentation and plot size on yields and costs: A translog production model and cost function approach. Agric. Syst, 161, 81-88.
31. Mohamed, B.M., & Bakr, Y.T. 2025. Technical efficiency in wheat cultivation: an analytical study of the transcendental production function and performance variations between fixed and pivot irrigation systems. Int. J. Environ. Sci. 11(7): 613-624.
32. Morais, G. A. S., Silva, F. F., Freitas, C. O. D., & Braga, M. J. 2021. Irrigation, technical efficiency, and farm size: the case of Brazil. Sustainability, 13(3), 1132
33. Mwangi, T. M., Ndirangu, S. N., & Isaboke, H. N. 2020. Technical efficiency in tomato production among smallholder farmers In Kirinyaga County, Kenya. Afr. J. Agric. Res., 16(5):667-677.
34. Ngango, J., & Hong, S. 2022. Assessing production efficiency by farm size in Rwanda: A zero-inefficiency stochastic frontier approach. Scientific African, 16, e01143.
35. Olarinre, A. A., & Omonona, B. T. 2018. Effect of land fragmentation on the productivity of rice farmers in Osun state, Nigeria. Appl. Trop. Agric., 23(1): 105-111.
36. Oladele, O., Maharazu, I., Alabı, O. O., & Aluwong, J. 2024. Estimating Farm Level Financing Gap and Allocative Efficiency Among Tomato Producers in North West, Nigeria. SDÜ vizyoner dergisi, 15(44), 1216-1228.
37. Oyebanjo, O. 2023. Effect of land fragmentation and socioeconomic factors on food crop productivity in Ogun state, Nigeria. EuroEconomica, 42(1): 152-163.
38. Sadozai, K. N., Ali, A., Kazmi, M. R., Ahmad, R., & Younas, H. 2025. Measurement of allocative efficiency in tomato production and its determinants: evidence from district Bajaur-Khyber Pakhtunkhwa, Pakistan. Sarhad J. Agric., 41(1): 349-359.
39. Seok, J. H., Moon, H., Kim, G., & Reed, M. R. 2018. Is aging the important factor for sustainable agricultural development in Korea? Evidence from the relationship between aging and farm technical efficiency. Sustainability, 10(7), 2137.
40. Shafiwu, A. B., Donkoh, S. A., & Abdul-Malik, A. 2022. Assessing the Technical Efficiency of Improved Tomato Production in Ghana: Two-Step Metastochastic Frontier Approach. RAAE, 25(2).
41. Statistical Yearbook of the Agricultural Jihad Organization, 2022. (in Persian)
42. Statistical Yearbook of the Agricultural Jihad Organization of Kurdistan Province, 2022. (in Persian)
43. Tanursaz, A., Bakhshudeh, M., & Azram, H. 2021. The effects of conservation tillage on the technical efficiency of wheat farmers in Dezful city. Agricultural Knowledge and Sustainable Production, 31(1), 331-348. doi: 10.22034/saps.2021.12819. (in Persian)
44. Tsaiyu, C. 2025. Impact of land fragmentation and fragmentation of property rights on the profit efficiency of rice cultivation and multiple farming in Taiwan. Applied Economics, 57(36), 5460-5473.
45. Wang, S., Li, D., Li, T., & Liu, C. 2021. Land use transitions and farm performance in China: A perspective of land fragmentation. Land., 10(8): 792.
47. Workneh, W. M., & Kumar, R. 2023. The technical efficiency of large-scale agricultural investment in Northwest Ethiopia: A stochastic frontier approach. Heliyon., 9(9).
48. Younas, H., Sadozai, K. N., Ali, A., & Ahmad, R. 2024. Technical efficiency and economic analysis of tomato production in Khyber Pakhtunkhwa: A stochastic frontier approach. Sarhad J. Agric, 40(3), 928-942.
49. Zhou, C., Zhao, Y., Long, M., & Li, X. 2024. How does land fragmentation affect agricultural technical efficiency? Based on mediation effects analysis. Land., 13(3), 284.
50. Zimmer, S., Kim, J. K., & Nusser, S. 2013. Automatic stratification for an agricultural area frame using remote sensing data. In Proceedings of the 59th ISI World Statistics Congress (pp. 25-30).
51. Zoghipour, M. H., Gholizadeh, H., & Rafiee, H. 2023. Investigating the Factors Affecting the Value Added of Iran's Agricultural Sector. Iranian Journal of Agricultural Economics and Development Research, 54(4), 833-850. (in Persian).