Unfortunately, in the case of Tunisia, there are only two SAMs constructed for the International Food Policy Research Institute (IFPRI) published in 2016 and 2020(Thabet (2016), ben Salhine et al. (2020)), the first one focused on agriculture and trade, the second one regionalized and both of them with estimated data. Our SAM is the first one with definitive data.
3.1 Accounts of TUNISIA macro-SAM of 2010
The Macro Matrix constructed for the year 2010 includes ten accounts which are the factors of production capital (K) and labour (L), the account of economic activities (J), the account of products (I), the accounts of institutional agents which are firms (F), households (H), the government (GVT) and the rest of the world (ROW), the investment savings account (INV) and finally the export (X) accounts.
The productive factors account represented by labour and capital, each of which can divided into several sub-accounts depending on the study objectives and data availability. Factors of production receive the income from the sale of their services to production activities in the form of wages and capital rent and then distributed to institutional units in the form of labour and capital income.
The account of institutional units includes the households, firms, the government, and the rest of the world, each of which can break down into several sub-accounts.
The household sub-account receives factor income (L and K), and transfers income from F, GVT, and ROW. It pays taxes and social security contributions, acquires consumer goods and services, transfers to other institutional units, residual income invested/disinvested by the H via the K account.
The firm's sub-account receives a share of the profits generated by productive activities and transfers income from other institutional units. This income is transferred as interest, dividends, rent, tax, and compulsory social security contributions to owners of financial assets, shareholders, and the GVT, the residue of the F sub-account charged to the K account.
The government sub-account retains a share of the income generated by agents and economic transactions as compulsory levies (taxes on income and wealth, taxes on production and products, and taxes on imports and exports) and transfers income from other institutions. GVT account income allocated to purchases of public administration services, transfers, and grants to H, F, and ROW; excess or deficit income transferred to the K account.
The rest of the world sub-account makes payments when Tunisia exports and receives transfers from abroad and as a foreign savings (the current account deficit can be negative).
The productive activities account generates revenue from the sale of products. The expenses of these activities include the purchase of raw materials and intermediate products, the payment of factor rental service (L and K) and the payment of taxes on production net of subsidy.
The product account buys goods and services from local and foreign producers (imports), to sell them to H, GVT, and J, in the form of final consumption, productive inputs and investment.
The investment account combines gross fixed capital formation and inventory changes. It collects savings from resident and non-resident institutional units for investment.
Table 1 presents the structure of the macro-SAM in the form of a matrix, indicating the cells in which the various payments appear.
The choice of the base year is not arbitrary. It was motivated, first of all, by the fact that the year 2010 is considered the last normal year before the revolution and consequently, no random or accidental event was noted during this period, then, this year was stable and exceptional from the point of availability view of data sources.
The data used in the construction process is based on two main publications from the national institute of statistics (NIS): the integrated economic accounts table (IEAT) (2010) and the supply and use table (SUT) (2010). Other important sources of information include the publication of a household survey (2011)[1], the annual report of the central bank 2010 and the "Economic Budget" (2010).
3.2 Balancing the SAM
The construction of SAM requires, as mentioned above, the use of the most recent economic data available in a coherent framework. However, these data generally come from a wide variety of sources (national accounts, surveys, ...). Several balancing techniques are used to balance the SAM (Round 2003; Lemelin 2008). The most commonly used methods are RAS and minimization of the deterministic approach to minimizing cross-entropy as used in the work of Robinson (1991) and Robinson et al. (2001).
The choice of cross-entropy is not arbitrary as well as the choice of the year 2010, this method is today widely used for economists, it has theoretical foundations, notably information theory. This method is flexible because, unlike the RAS[2] method, it can use any available information, on a total of a row or a column or even on a cell of the matrix only. Finally, in a more coherent way, it takes into account simultaneously the whole matrix to modify this matrix and not only a part of it, a simultaneous modification and not a modification in a determined order as in the RAS method.
Table 1
Basic macro-SAM structure for Tunisia 2010
|
L
|
K
|
H
|
F
|
GVT
|
ROW
|
J
|
I
|
INV
|
TOTAL
|
L
|
|
|
|
|
|
|
added value of labor
|
|
|
labor income
|
K
|
|
|
|
|
|
|
added value of capital
|
|
|
capital income
|
H
|
labor income
|
household capital income
|
|
Firms transfers to household
|
Government transfers to household
|
Rest of the world transfers to household
|
|
|
|
household income
|
F
|
|
business capital income
|
Household transfers to firms
|
|
Government transfers to firms
|
Rest of the world transfers to firms
|
|
|
|
firms income
|
GVT
|
|
|
Household transfers to government
|
Firms transfers to government
|
|
Rest of the world transfers to government
|
|
Taxes on products
|
|
government income
|
ROW
|
|
|
Household transfers to rest of the world
|
Firms transfers to rest of the world
|
Government transfers to rest of the world
|
|
|
import
|
|
rest of the world income
|
J
|
|
|
|
|
|
|
|
production
|
|
production
|
I
|
|
|
household consumption
|
|
government consumption
|
|
intermediate inputs
|
|
investment
|
product demand
|
X
|
|
|
|
|
|
Export
|
|
|
|
Export
|
INV
|
|
|
Household savings
|
Firms savings
|
Government savings
|
Rest of the world savings
|
|
|
|
saving
|
TOTAL
|
distribution of labor income
|
capital income distribution
|
household spending
|
Business spending
|
government spending
|
exchange earnings
|
Production cost
|
Product offer
|
investment
|
|
Source: Pyatt and Round (1985) and author’s modifications
The cross entropy-method
We constructed a matrix using the SUT, IEAT, national accounts, state budgets and balance of payments. This SAM was then balanced using cross-entropy. As part of our work, we used a method inspired by the work developed by Robinson et al. (2001) and, Lemelin et al. (2013). Our matrix is the solution to the following problem using GAMS[3]:
Table 2 present constructed matrix at the aggregated level, we proceed to the disaggregation of the different accounts of the matrix. Generally, the detail of the accounts of the matrix depends on the objective of the study and the specifications of the model as for the institutional detail, activities, products, taxes, and factors of production.
Table 2
Macro SAM for Tunisia 2010 (in millions of Tunisian dinars)
|
L
|
K
|
H
|
F
|
GVT
|
ROW
|
J
|
I
|
X
|
INV
|
TOT
|
L
|
|
|
|
|
|
|
25400,33
|
|
|
|
25400,33
|
K
|
|
|
|
|
|
|
32972,41
|
|
|
|
32972,41
|
H
|
25400,33
|
19976,05
|
|
3904,59
|
4356,94
|
5239,19
|
|
|
|
|
58877,12
|
F
|
|
11377,70
|
1138,52
|
|
1101,88
|
284,02
|
|
|
|
|
13902,13
|
GVT
|
|
1618,65
|
8832,81
|
1951.84
|
|
466,54
|
4304 ,21
|
6483,48
|
|
|
23657.53
|
ROW
|
|
|
92,04
|
3135,13
|
827,27
|
|
|
32693,01
|
|
|
36747,45
|
J
|
|
|
|
|
|
|
|
98333,40
|
27444,73
|
|
125778,13
|
I
|
|
|
44148,19
|
|
12852,68
|
|
63101,18
|
|
|
17407, 83
|
137509,89
|
X
|
|
|
|
|
|
27444,73
|
|
|
|
|
27444,73
|
INV
|
|
|
4665,55
|
4910,56
|
4518,76
|
3312,94
|
|
|
|
|
17407, 83
|
TOT
|
25400,33
|
32972,41
|
58877,12
|
13902,13
|
23657,53
|
36747,45
|
125778,13
|
137509,89
|
27444,73
|
17407, 83
|
|
Source: Author’s own calculations based on collected data.
[1] Made by the International Office work and Centre for Research and Social Studies
[2] RAS is a classic procedure for adjusting a contingency table to fixed margins
[3] The General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical optimization. GAMS is designed for modeling and solving linear, nonlinear, and mixed-integer optimization problems.