如何以最經濟的方式攝取營養素：以蔬菜、水果為例

What Is the Most Economical Way for the Nutrients of Fruit and Vegetable Intake?

10.6181/agec.2014.53.03

林億明(Yih-Ming Lin)；孔維新(Wei-Hsing Kong)；吳苡嘉(Yi-Jia Wu)

效能 ； 資料包絡法 ； 支出 ； 礦物質 ； 維生素 ； Effectiveness ； DEA ； Expenditure ； Minerals ； Vitamins

農業與經濟

53期（2014 / 12 / 01）

93 - 126

繁體中文

本文的目的是以蔬菜、水果為例，利用資料包絡法找出如何以最經濟的方式攝取營養素。本文蒐集農委會農糧署之台灣「農產品交易行情網站」擷取2011年9月至2012年8月蔬菜、水果之批發月平均價，另由衛福部食藥署所建立之台灣地區食品營養資料庫中105種蔬菜、117種水果之14種營養素以及每日營養素建議量，運用資料包絡分析法（DEA）探討如何以最少的支出自蔬菜、水果中獲得足夠之維生素與礦物質。實證結果顯示，蔬菜以胡蘿蔔、蕎頭、黑甜仔菜、花豆、花生等最有效能，菌菇類比較無效能；水果有效能大部分集中於漿果類，仁果類最無效能，另外，實證結果也顯示本地生產之水果比進口者經濟實惠；蔬菜四季之結果差異不大，但北中南分區差異較大；水果四季因其季節性，結果差異較大。另外結果發現以最經濟的方式攝取足夠營養素，蔬菜花費平均每日為24.95元，水果為75.04元。

The intension of this paper is to propose an approach to access the economical way for the nutrients intake using DEA. We demonstrate our approach using fruits and vegetables data. In this study, the 14 nutrients data of 117 fruits and 105 vegetables are collected. The monthly price data of fruits and vegetables is also collected from September 2011 to August 2012. The empirical results show that carrots, chinese bulbous onion, Solanum nigrum L, white dutch runner bean and peanuts are the most effective in vegetables. Among the fruits, the berries are the most effective. The results also show that the local fruits more effective than imported fruits. Furthermore, the results of vegetables do not have large difference in different seasons or different regions. Since the fruits have seasonality, the empirical results of fruits are much different in different seasons or different regions. Finally, the results show that if we would like to take 14 nutrients of minerals and vitamins enough, it costs at least NT$24.95 by vegetables and NT$75.04 by fruits, respectively.

1. 林啟淵、張呈徽、李仁耀(2012)。台灣重要蔬菜價格傳遞之研究。農業與經濟，49，1-36。
   連結：
2. 林啟淵、張呈徽、李仁耀(2012)。台灣重要蔬菜價格傳遞之研究。農業與經濟，49，1-36。
   連結：
3. 傅祖壇、林億明(2014)。健康風險認知、減重需求與其願付價值。經濟研究，50(1)，69-99。
   連結：
4. 黃台心、陳盈秀、陳佩欣(2007)。臺灣地區本國銀行業長期效率的動態分析。經濟論文，35，83-114。
   連結：
5. 行政院衛生署（2010），《2005-2008 國民營養健康狀況變遷調查》。http://nahsit.nhri.org.tw/。
6. Aigner, D.,Lovell, C. A. K.,Schmidt, P.(1977).Formulation and Estimation of Stochastic Frontier Production Models.Journal of Econometrics,6,21-37.
7. Banker, R. D.,Charnes, A.,Cooper, W. W.(1984).Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis.Management Science,30,1078-1092.
8. Berger, A. N.,Hancock, D.,Humphrey, D. B.(1993).Bank Efficiency Derived from the Profit Function.Journal of Banking and Finance,17,317-347.
9. Berger, A. N.,Humphrey, D. B.(1991).The Dominance of Inefficiencies over Scale and Product Mix in Banking.Journal of Monetary Economics,28,117-139.
10. Cassady, D.,Jetter, K. M.,Culp, J.(2007).Is Price a Barrier to Eating More Fruits and Vegetables for Low-Income Families?.Journal of the American Dietetic Association,107(11),1909-1915.
11. Charnes, A.,Cooper, W. W.,Rhodes, E.(1978).Measuring the Efficiency of Decision Making Units.European Journal of Operation Research,2,429-444.
12. Dibsdall, L. A.,Lambert, N.,Bobbin, R. F.,Frewer, L. J.(2003).Low-Income Consumers' Attitudes and Behaviour towards Access, Availability and Motivation to Eat Fruit and Vegetables.Public Health Nutrition,6(2),159-168.
13. Doyle, J. R.,Green, R. H.(1991).Comparing Products Using Data Envelopment Analysis.OMEGA,19,631-638.
14. Fu, T. T.,Lin, Y. M.,Huang, C. L.(2011).Willingness to Pay for Obesity Prevention.Economics and Human Biology,9,316-324.
15. Glanz, K.,Yaroch, A.(2004).Strategies for Increasing Fruit and Vegetable Intake in Grocery Stores and Communities: Policy, Pricing, and Environmental Change.Preventive Medicine,39,S75-S80.
16. Guenther, P. M.,Dodd, K. W.,Reedy, J.,Krebs-Smith, S. M.(2006).Most Americans Eat Much Less Than Recommended Amounts of Fruits and Vegetables.Journal of the American Dietetic Association,106,1371-1379.
17. Hung, H. C.,Joshipura, K. J.,Jiang, R.,Hu, F. B.,Hunter, D.,Smith-Warner, S. A.,Colditz, G. A.,Rosner, B.,Spiegelman, D.,Willett, W. C.(2004).Fruit and Vegetable Intake and Risk of Major Chronic Disease.Journal of the National Cancer Institute,96,1577-1584.
18. Jetter, K. M.,Cassady, D.(2006).The Availability and Cost of Healthier Food Alternatives.American Journal of Preventive Medicine,30(1),38-44.
19. Joshipura, K. J.,Ascherio, A.,Manson, J. E.,Stampfer, M. J.,Rimm, E. B.,Speizer, F. E.,Hennekens, C. H.,Spiegelman, D.,Willett, W. C.(1999).Fruit and Vegetable Intake in Relation to Risk of Ischemic Stroke.Journal of the American Medical Association,282,1233-1239.
20. Kim, C.,Lee, Y.,Kim, B. H.,Lee, H. S.,Jang, Y. A.(2009).Development of Supplemental Nutrition Care Program for Women, Infants and Children in Korea: NutriPlus.Nutrition Research and Practice,3(3),171-179.
21. Kimmons, L.,Gillespie, C.,Seymour, J.,Serdula, M.,Blanck, H. M.(2009).Fruit and Vegetable Intake among Adolescents and Adults in the United States: Percentage Meeting Individualized Recommendations.The Medscape Journal of Medicine,11(1),26.
22. Meeusen, W.,van Den Broeck, J.(1977).Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error.International Economic Review,18,435-444.
23. Nelson, M.,Dick, K.,Holmes, B.(2002).Food Budget Standards and Dietary Adequacy in Low-Income Families.Proceedings of the Nutrition Society,61(4),569-577.
24. Seiford, L. M.,Zhu, J.(2003).Context-Dependent Data Envelopment Analysis: Measuring Attractiveness and Progress.OMEGA,31(5),397-408.
25. Stewart, H.,Hyman, J.,Frazão, E.,Buzby, J. C.,Carlson, A.(2011).Can Low-Income Americans Afford to Satisfy My Pyramid Fruit and Vegetable Guidelines?.Journal of Nutrition Education and Behavior,43(3),173-179.
26. Zhang, S. M.,Hunter, D. J.,Rosner, B. A.,Giovannucci, E. L.,Colditz, G. A.,Speizer, F. E.,Willett, W. C.(2000).Intakes of Fruits, Vegetables, and Related Nutrients and the Risk of Non-Hodgkin's Lymphoma among Women.Cancer Epidemiology, Biomarkers & Prevention,9,477-485.
27. 高強、黃旭男、末吉俊之(2003)。管理績效評估－資料包絡分析法。台北:華泰書局。
28. 許文富(2004)。農產運銷學。台北:正中書局。
29. 黃鏡如、傅祖壇、黃美瑛(2008)。績效評估－效率與生產力之理論與應用。台北:新陸書局。