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Estimating Component Values - Dairy Products

 Updated 2015-08-15

 Estimating Component Values for Cow's Milk Products

Like for other foods, there are some clear biologically determined relations between core components in cow's milk. Lipid is one of the core components in the production of dairy products, and most dairy products are characterized by standardization of the content of the lipids. Based on the thorough analytical material produced by the Danish Dairy Research in the beginning of the 1980s and The Danish National Food Agency's Food Monitoring System for Nutrients from 1985 to 2005 of these relations will be decribed in the following.

Danish Dairy Research

The investigation of Laustsen and Jensen (1984) includes analysis (dry matter, fat, and protein) of fresh and cultured liquid milk products produced in Danish dairy plants representing about 90% of the total production of liquid milk products.

The number of samples was quite comprehensive with more than 3500 samples of fresh liquid milk products (n=1099, whole milk, semi skim milk, skim milk, and creams), fresh liquid milk products with admixture (n=184, mostly milk with sugar and cocoa added), cultured market milk products (n= 1205, buttermilk, youghurt naturel, crème fraiche), and cultured market milk products with admixture (n= 1021, yoghurts with fruit). Unfortunately, the single analytical values are no longer available.
The investigation covered sampling all year sampling and included seasonal variations, but for simplicity only the yearly average values have been used in the following calculations.

Protein and total lipids

Statistical analysis of the traditionally standardized fresh (sweet) and cultured milk product values (blue dots) show a linear fit (p<0.0001) between the total lipid content and the protein content,


whereas the two cultured products (ymer/ylette) produced with utrafiltration or draining techniques do not follow the same simple fit due to their higher protein/dry matter content (red dots).

For the sweet and cultured milk products - except the ultrafiltrated/drained products - the linear fit is

protein [g/100 g] = 3.6132 - 0.0402 [g protein/g total lipid] * total lipid [g/100 g]

shown as the straight line in the figure above.

Adjusting the regression model to include the variable dry matter provides a fit that includes the two ultrafiltrated products.
There is a significant influence on the protein value from total lipid (p<0.0001) and dry matter (p<0.0001).
The regression model including dry matter is

protein [g/100 g] = -5.838 + 1.028 [g protein/g dry matter] * dry matter [g/100 g] - 0.9622 [g protein/g total lipid] * total lipid [g/100 g]

which is valid for both the traditionally standardized and ultrafiltrated products in the survey. The resulting calculated protein values according to this model are shown in the figure above (in small circles).

Vitamin A and E and total lipids

In the series of investigations by Danish Dairy Research, Larsen et al (1985) analysed the contents of the fat soluble vitamins, A and E, β-carotene and the content of total lipid.

Both the vitamins in milk show a clear seasonal variation (high values summer/autumn and low values winter/spring). The variations are most visible for the high fat (cream) values.

The following models for the two vitamins are based on the the yearly averages. Only drinking milk (total lipid: 3.5 g/100 g and below) and whipping cream (total lipid: 38 g/100 g) was analysed.


Total vitamin A, retinol and β-carotene content in milk follow the total lipid content with a linear fit. Due to the nature of the data, not other relationship is identifiable. The analysis has shown that the intercept is so close to zero that it is presumed that the vitamin A and E components are only present in the lipid phase of milk.
For the vitamin a components, the following relationships have been identified

Vitamin A, total [RE]  =  9.061 [μg/g total lipid] * total lipid [g/100 g]

Total vitamin A has been calculated on the basis of the retinol and β-carotene values, where the activity of β-carotene is 1/12 of the activity of retinol.

The equations are for the yearly averages of retinol's dependence on total lipid

Retinol [μg/100 g]  =  8.7586 [μg/g total lipid] * total lipid [g/100 g]

and for β-carotene and total lipid

β-carotene [μg/100 g]  =  3.6167 [μg/g total lipid] * total lipid [g/100 g]

Vitamin E (α-tocopherol) shows the same summer/winter variations as vitamin A.


The equations for the yearly average of α-tocopherol's dependence on total lipid is 

α-tocopherol [μg/100 g]  =  26.3 [μg α-tocopherol/g total lipid] * total lipid [g/100 g]

Food Monitoring System for Nutrients - National Food Agency of Denmark

As part of the national food monitoring system, the National Food Agency and its regional laboratories analysed selected milk and milk products sampled in 1985, 1990, 1995 and 2000. A total of 785 samples of milk and milk products (555 samples of liquid milk and butter and 232 samples of brick and mould cheeses).

Depending on the sampling period, the liquid milk and cheeses were analysed for protein, total lipids, fatty acids, dry matter, ash, sodium, potassium, chloride, calcium, magnesium, iron, zinc, selenium, iodine, selenium, vitamin A (retinol), vitamins B1, B2, B6 and folates (only 1995). Butter was analysed for total lipids, fatty acids, dry matter, and vitamin A (retinol), and from 1995 also sodium, potassium and chloride.

The milk products sampled represent the most important liquid milk products in the Danish diet at the time. They cover whole and  semiskim milk (and skim milk in 1985), and the cultured products, ymer and yoghurt naturel, all with a standardized fat content of about 3.5% and below, and whipping cream with a fat content of 38%. From a statistical point of view, it would have been interesting to have had samples of cream in the intermediate level of 10 to 20% fat, but this was not the purpose of the food monitoring.

To be continued.


Swedish Dairy Association

Lindmark Månsson and colleagues have reported a very comprehensive material on the composition of raw milk (tank milk) sampled in 1996, 2001 and 2009.

Calculating components in liquid milk based on the content in raw milk (tank milk)

As mentioned elsewhere, the traditional processes in the dairy industry involve separation of the emulsified lipid phase from the aquous phase with a following standardization to a specific lipid content in the final product. In theory, the components bound to or dissolved in the lipid phase will follow the lipids; similarly, the components in the aqueous phase will follow aqueous phase.

Therefore, simple mass balances can be used to calculate the content of components in the final milk product provided that the distribution of components between the lipid and aqueous phases is known and that variability in their content is fairly stable in the raw milk. This is the case in the data provided by Lindmark Månsson et al from the Swedish Dairy Association and used as such by the National Food Administration in Sweden.

To be continued.


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UK Composition of Foods online

Food Databanks National Capability extended dataset based on PHE’s McCance and Widdowson’s Composition of Foods Integrated Dataset.
Composition of foods integrated dataset (CoFID) 2019

McCance and Widdowson’s 'composition of foods integrated dataset' on the nutrient content of the UK food supply. Available from Public Health England's website.
OCEANIAFOODS - Smarter Data 2019

SMARTER DATA 2019: Food Composition Information in this Digital Age takes place 3 - 4 September 2019 at Rydges Hotel, Auckland, New Zealand.
For more information, see the conference website.
IFDC 2019 in Lisbon 14-18 October 2019

The 13th International Food Data Conference (IFDC 2019) will take place in Lisbon, Portugal, between the 14th and 18th of October 2019. For more information, see the conference website.