Feed formulation and feed
formulae
The primary objective of feed formulation is to provide the species
under culture with an acceptable diet that meets its nutritional requirements
at different stages of its life, so as to yield optimum production at minimum
cost. As has already been pointed out, our present knowledge of the nutritional
needs of aquatic animals is restricted to only a few species, and feed
formulation for other species has to be approximated on this basis. Although it
is most likely that all aquaculture species can be weaned to consume processed
compound feeds, there is still a lot to be learnt about the physical and
chemical properties of diets preferred by several species. Flavour, colour,
odour, texture and water stability are important characteristics related
to acceptance and consumption. Better knowledge of preferences and feeding
behaviour would greatly improve the choice of appropriate ingredients and feed
preparation processes, as well as the methods of feed dispensing.
For formulating the basic composition of a feed, the main information
needed are the levels of crude protein, energy, specific amino acids, crude
fibre and ash required. The energy level may be in terms of metabolizable
energy
(ME) or digestible energy (DE). Most complete practical diets have to be
supplemented with a vitamin premix, at levels in excess of the dietary
requirement. All levels, with the exception of energy, are determined on the
basis of chemical tests on samples of a feedstuff. Even though they correlate
well with biological methods of feed evaluation, such as growth studies, tissue
levels, etc., they are subject to errors due to variability in composition. For
example, the proximate composition of fish meal made from spawning fish is
different from that made from immature fish. Usually, the lipid levels increase
before spawning and decrease afterwards, changing the percentage compositions
of protein, ash and carbohydrates. Many plant feedstuffs also show
compositional variations according to season, locality and environment.
However, formulations have often to be based on average values.
Another problem to be considered is seasonality in the availability of
ingredients. It may not always be possible to store large quantities of
ingredients, and so it becomes necessary to vary ingredient composition
according to availability. In many developing countries where feedstuffs are
scarce, one cannot expect sufficient priority to be given to their use in
aquaculture. Even when a particular feedstuff is available for purchase,
increased prices may make it necessary to use substitutes in order to obtain a
least-cost ration. It therefore follows that there are no fixed formulae for
feeds and that they have to vary according to availability of ingredients,
composition and costs. Least-cost feeds have to be formulated, but in doing so
careful consideration has to be given to the quality of the nutrient content in
substitute ingredients. Changes of ingredients or their proportions may also
affect the physical characteristics and palatability of the diets. So feed
costs should be estimated not on the basis of the price of ingredients alone,
but also on the proportion of feed costs in the overall production cost per
unit weight of fish.
The type of feed required and the methods of processing will influence
formulation. Extruded or floating-type feeds must contain an appreciable
quantity of starch for satisfactory gelatinization and expansion. Most such
feeds contain 20–25 per cent cereal grain such as corn, wheat or sorghum.
Again, depending on the storage conditions and duration of storage, a certain
amount of loss of vitamins has to be expected. In order to cover such loss, it
will be necessary to add higher levels of vitamins than are nutritionally
required.
The type of culture system also has a determining role in feed
formulation. For example, if the feed is for use in semi-intensive pond
culture, certain vitamin and mineral supplements can be omitted from the
formula, as these nutrients are likely to be available to the animal from the
natural food organisms growing in the ponds. On the other hand, in intensive
culture in cages, raceways and tanks, where natural foods are limited, the diet
should contain all the required nutrients in adequate quantities and
proportions. Similarly, when the feed is meant to be used as supplementary
feed, to augment the major nutritional elements provided by natural food, the
formulations will have to be based on the quantitative assessment of additional
requirements of these elements. The problems of formulating supplementary feeds
were mentioned.
Since protein is the most expensive portion of an animal diet, it is
usually computed first in diet formulation. The first step consists of
balancing the crude protein and energy levels. Then the levels of indispensable
amino acids should be assessed to ensure that the animal’s dietary levels in
this respect are met. Except in the case of unconventional protein supplements,
if the feedstuff has the required dietary levels of arginine, lysine,
methionine and tryptophan it is most likely that the other six indispensable
amino acids are above required levels (Hardy, 1980). In cases where the
formulation is low in amino acids, necessary alterations have to be made by the
addition of ingredients with
high levels of the required amino acids. After this is done, a final
check will be necessary to ensure that the balance of protein and energy levels
is not altered.
The most commonly used methods for balancing crude protein levels are
the square method and algebraic equations. For example, to balance a
supplementary feed to contain 25 per cent protein, using only two ingredients –
fish meal (50 per cent protein) and rice bran (8 per cent protein) – a square
is constructed as shown above. The desired protein level of the feed (25 per
cent) is inserted in its centre. The two feedstuffs, along with their protein
content, are placed on each corner at the left-hand side of the square and the
levels of protein of each feedstuff are subtracted from the desired protein
level of the feed. The differences are placed on the corners of the square
diagonally opposite the feedstuff, ignoring plus or minus signs (see diagram).
The difference between the percentages of protein in the rice bran and the
protein required in the feed under formulation show the proportion of fish meal
needed. The difference between the protein percentage of fish meal and of the
feed being formulated show the proportion of rice bran required. These
proportions can be expressed on a percentage basis, as 40.48 per cent fish meal
and 59.52 per cent rice bran, or as a ratio of 17 parts: 25 parts.
Algebraic equations can be used to arrive at the same percentages as
follows:
assume
x =fish meal in kg per 100 kg feed
y =rice
bran in kg per 100 kg feed
In actual practice, more than two ingredients are generally used in feed
formulations. The use of both the square method and algebraic equations is
illustrated in the following example to balance a diet containing 30 per cent
protein using fish meal (60 per cent protein), soybean mean (51 per cent
protein), rice bran (8 per cent protein) and corn meal (10 per cent protein) in
the proportions 2 parts soybean meal: 1 part fish meal and 1 part rice bran to
1 part corn meal.
Using the square method as in the above example, the desired protein
level (30 per cent) is placed in the middle of the square. The ingre-dients are
separated into two groups and the protein level of each group calculated
according to the proportion specified:
protein source: fish meal = 1 x 60 = 60%
soybean meal = 2 x 51 = 102%
average = 162/3 = 54%
energy source: rice bran = 1 x 8 = 8% corn meal = 1 x 10 = 10%
average = 18/2 = 9%
The protein and energy sources, along with their calculated protein
contents are placed on each corner at the left-hand side of the square. After
diagonal subtraction, the calculation proceeds as shown below. The final figure
for the protein source is divided into 2/3 soybean meal and 1/3 fish meal:
protein source = 46.67 per cent
If the algebraic equation method is used, the ingredients are separated
into two groups and the protein level of each group calculated according to the
proportion required:
Very often, more complicated formulations than the ones described above
will become necessary. For example, the diet may have to be for-mulated to
contain specified amounts of certain feedstuffs and concentrations of various
nutrients, as in the following example (Lim, 1982).
An allplant diet has to be made using soybean meal and peanut meal in
the ratio 1 : 1 as protein source, with the following nutrient specifications:
The composition of the available ingredients is listed in Table 7.24.
The formulation proceeds as follows. A work sheet (as shown in the example) is
made up and the required feed ingredients and amounts filled in first.The
nutrients that will be furnished by these ingredients are calculated as a
percentage (or kg per 100kg feed) according to available data on their nutrient
composition. By adding up the items, the total amounts of each nutrient
supplied by the feedstuffs are obtained. By subtracting these amounts from the
level of nutrients required in the formulated feed, the additional amounts of
nutrients needed and the quantities of other ingredients to provide those
nutrients are deter-mined.As soybean meal and peanut meal do not contain any
available phosphorus, dicalcium phosphate should be added. As dicalcium
phosphate contains 18 per cent available phosphorus, the required
quantity per 100 kg is 0.45/ 0.18 = 2.5 kg. This leaves 100 - 39.5 = 60.5 kg
per 100 kg (or per cent) of other ingredients. If this is to be supplied by
soybean meal and peanut meal in equal proportions, the nutrients will be
provided by 2.44 kg protein, 1.51 kg fat and 0.77 kg sulphur-containing amino
acids per 100 kg.Since these do not meet the full requirements for fat and
sulphur-containing amino acids, animal fat and methionine have to be added. The
same results can be obtained by using algebraic equations.
Linear programming in feed formulation is a mathematical procedure to
obtain the optimum solution to specified objectives. It is of special
importance in least-cost ration formulation, as there are many ingredients that
can provide the necessary protein levels in a ration and there may be a need to
change ingredients according to availability, price and quality. While there
may be several possible solutions to achieving a given set of specifications,
there will be one formulation that costs the least. This elaborate calculation
involes the simultaneous solution of a number of linear equations and can best
be
done with a computer. It is widely practised in livestock and poultry
feed manufacture and has been used in the manufacture of fish feeds.
For formulation of least-cost rations, the computer should have the
ration specifications together with the nutrient requirements of the animal.
The critical nutrients such as methion-ine and lysine are specified as minimum,
range, ration or exact amounts. Nutrients, such as trace elements and vitamins,
which are supplied at constant levels need not be indicated. Relevant
specifications of the feedstuffs to be used should be put in, along with the
composition and price of various available feedstuffs to be included in the
formula. Since the accuracy of the formula will depend on the exact nutrient
composition of the feedstuffs to be used, the values should be as accurate as
possible. Prices used should be those at the time and point where the feed is
made, in order to obtain a realistic and effective least-cost ration. By
expressing these various data inputs as constraints or restrictions, a series
of linear equations are formed. Successful solution of the various simultaneous
linear equations leads to an optimal solution. When erroneous ingredient data
are used or when unreasonable restrictions are placed on nutrient requirements
or ingredient usage, the computer may report that a solution is not feasible.
This normally happens only when there are errors in data input. It is therefore
essential to check the information thoroughly and input only precise data.
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