Based on the previously published research on the nutritional balance of single recipes based on the fragrance index, this paper proposes a simple diet nutrition balance calculation method based on overlap rate. We calculated and compared the combination of any two of the 25 dishes based on the overlap rate method, which is the nutritional balance of the simple package. We also compared the overlap rate based method and the fragrance index based method for 6 simple packages. The results show that the results of the two methods have certain consistency. We also give a formula for calculating the nutritional balance of a simple package consisting of 3 dishes, which can be extended to a package consisting of more dishes.
Reasonable matching of food packages to ensure the balance of nutrients is a problem related to the public.
A Batad, M Bruenin, EH Marchlewicz, M Story, MG Wootan (2012) evaluated the nutritional quality of children’s meals at chain restaurants. The conclusion of this research is that restaurants should support healthier choices for children by reformulating existing menu items and adding new healthier items, posting calories on menus, and setting nutrition standards for marketing to children [
Generating a healthy menu has been a problem not only for the children but for almost everyone. R Suharoschi, EA Pop, M Lazar, CA Semeniuc, AM Rotar… (2011) carried out a study with the aim to detect improper eating habits or nutritional problems of individuals in order to planned (designing) and develop a menu to ensure a balanced and healthy diet. Initially they assessed the volunteers’ health by questionnaire, medical test and anthropometric data. Then with the help of nutritional programs they have developed for each volunteer a planned menu, ensuring the requirements for variety, seasonality and the strength of satiation, including scientific parameters (as GI, and inflammation factor) [
Wenqing Xu (2015) suggested a healthy set menu combination which includes “staple food”, “pickled vegetables”, “meat dishes”, “vegetarian dishes”, “dairy products or vegetable protein products” and “flavor snacks” [
In our previous essay, we have research on nutritious balance of specific examples in Chinese recipes applying diversity indices and cluster analysis. Initially, based on data of the nutritional ingredients of food, such as proteins, fat and vitamins, we categorize 1200 kinds of specific food using cluster analysis; then, according to a recipe given by a local restaurant, we calculate and compare the diversity indices based on the components of 25 single dishes in the recipe and analyze the nutritious balance of each dish [
In this essay, we will focus on a method to calculate the nutritious balance of a simple set menu.
The data source is the same as our first paper [
For detailed methods for calculating the nutritional balance of individual vegetables, please refer to the literature [
F P O R = | A ∩ B | / ( | A | + | B | − | A ∩ B | ) (1)
In the above equation, the numerator indicates the number of sub-items of the same nutrient type of the two dishes A and B, and the denominator indicates the number of sub-items of all the nutrient types of the two dishes A and B minus the number of sub-items of the same nutrient type of the two dishes A and B. Considering the low quality of the ingredients, we only consider the main ingredients here. Using Equation (1), we calculated the nutritional overlap rate between 25 dishes, and
From
Using the method of the literature [
Considering that the difference between the two methods is relatively large, the dimensions of the calculation results are also inconsistent. Here we use linear regression to get the relationship between the two methods, as shown in
In
Dish A | Dish B | Number of overlapping | Number of dish A | Number of dish B | Rate of overlapping |
---|---|---|---|---|---|
Assorted gluten | Celery, yam & fungus | 1 | 5 | 3 | 14% |
Assorted gluten | Mushroom and vegetables | 1 | 5 | 2 | 17% |
Squirrel shaped fish | Assorted gluten | 1 | 1 | 5 | 20% |
Tofu pudding | Assorted gluten | 1 | 1 | 5 | 20% |
Eel with chopped chili | Assorted gluten | 1 | 1 | 5 | 20% |
Mushroom with goose liver | Assorted gluten | 1 | 1 | 5 | 20% |
Two kinds of mushroom with nuts and scallop | Assorted gluten | 1 | 3 | 3 | 20% |
… | … | … | … | … | … |
Fried whitebait with scrambled eggs | Scallop in egg white | 2 | 2 | 2 | 100% |
Fried whitebait with scrambled eggs | Braised eel paste | 2 | 2 | 2 | 100% |
Marinated chicken | Squirrel shaped fish | 1 | 1 | 1 | 100% |
Marinated chicken | Braised turtle | 1 | 1 | 1 | 100% |
Marinated chicken | Fish with pepper | 1 | 1 | 1 | 100% |
Marinated chicken | Frog and shrimp | 1 | 1 | 1 | 100% |
Marinated chicken | Stinking mandarin fish | 1 | 1 | 1 | 100% |
Dish A | Dish B | The overlap rate | The Shannon index |
---|---|---|---|
Assorted gluten | Celery, yam & fungus | 0.857 | 2.673 |
Scallop in egg white | Flavor of the field | 0.750 | 2.023 |
Squirrel shaped fish | Double fresh with pepper | 0.667 | 2.233 |
Tofu pudding | Scallop in egg white | 0.500 | 1.272 |
Double fresh with pepper | Fried whitebait with scrambled eggs | 0.333 | 2.165 |
Marinated chicken | Frog and shrimp | 0.000 | 1.006 |
We can generalize Equation (1) to the overlap rate calculation of three dishes, see Equation (2). The situation of three or more dishes can be analogized.
F P O R = | A ∩ B ∩ C | / ( | A | + | B | + | C | − | A ∩ B | − | A ∩ C | − | B ∩ C | + | A ∩ B ∩ C | ) (2)
The shortcomings of this paper are as follows: first, due to the large amount of calculation, the package only considers the two-two combination, and does not consider three dishes and more. The second point is that the sample size of the recipe is less. The third point, the deficiency of this article is that the food ingredients and recipes in China are analyzed only, but not in other countries.
This paper proposes a method for calculating the nutritional balance of the package based on the overlap rate. Although only a simple combination of two dishes is studied, this method can be extended to a package consisting of three or more dishes, thus having Wide application prospects.
The chef of Wuxi four seasons warm hall restaurant provides us with the detailed data of 25 dishes, including the composition of each dish, the quality of the component, and thank you here.
The authors declare no conflicts of interest regarding the publication of this paper.
Zhuang, J.L. and Gao, J.H. (2018) A New Method for Calculating the Nutrition Balance of the Food Package. Food and Nutrition Sciences, 9, 1029-1033. https://doi.org/10.4236/fns.2018.98075