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local employment growth in the coastal area of tunisia - Economic ...

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F<br />

Such that d = m<strong>in</strong> z ( X )<br />

and<br />

Where<br />

opt<br />

d<br />

I<br />

n<br />

Wi is E[ Gi<br />

( d)]<br />

and Wi<br />

= ∑ ( n −1)<br />

j=<br />

1<br />

ij<br />

x<br />

F<br />

i<br />

⎡ Wi<br />

⎤<br />

⎢<br />

( n 1)<br />

⎥<br />

x<br />

⎣ −<br />

=<br />

⎦<br />

i<br />

G ( d)<br />

F<br />

w ( d)<br />

. x is <strong>the</strong> spatially filtered variable.<br />

Distance d opt is selected such that it m<strong>in</strong>imizes <strong>the</strong> z-score value, z I , <strong>of</strong> Moran’s I for<br />

(see Getis (1995) for more details).<br />

This approach detects <strong>the</strong> range <strong>of</strong> spillovers for each sector ( d opt ), and does not require any<br />

specific assumptions on <strong>the</strong> model (such as <strong>the</strong> assumption <strong>of</strong> normal distributed error terms)<br />

(Griffith, 2002, 2003; Elhorst, 2005; Griffith & Ha<strong>in</strong><strong>in</strong>g, 2006). After filter<strong>in</strong>g <strong>the</strong> spatial<br />

effect, equation (6) becomes:<br />

m<br />

m<br />

lempf s,<br />

d , t = α + ∑ βllempfs,<br />

d , t −l<br />

+ ∑δ<br />

l X s,<br />

d , t −l<br />

+ fs,<br />

d + ηt<br />

+ ε s,<br />

d , t<br />

l = 1<br />

l = 0<br />

where lempf is <strong>the</strong> filtered <strong>employment</strong> variable.<br />

3.3.2 GMM Estimation<br />

As <strong>the</strong> dependant variable lempf s,<br />

d , t <strong>in</strong> equation (9) is a function <strong>of</strong> <strong>the</strong> fixed time specific<br />

effect f s,<br />

d , lempf s,<br />

d , t −1<br />

will be also a function <strong>of</strong> f s,<br />

d . Then <strong>the</strong> lagged dependant variables<br />

lempf s,<br />

d , t−l<br />

may be correlated with f s,<br />

d . Hence, ord<strong>in</strong>ary least squares estimators (OLS) and<br />

generalized least squares estimators (GLS), i.e. fixed effects or random effects estimators, are<br />

biased and <strong>in</strong>consistent (Baltagi, 2005). To avoid <strong>the</strong> endogeneity bias, we will estimate our<br />

model (equation 11) by <strong>the</strong> generalised method <strong>of</strong> moment (GMM) proposed and developed<br />

by: Arellano & Bover, 1995 and Blundell & Bond, 1998. However for a better choice <strong>of</strong> <strong>the</strong><br />

<strong>in</strong>struments our estimation are done us<strong>in</strong>g <strong>the</strong> system GMM (GMM-SYS) <strong>of</strong> Blundell &<br />

Bond (1998).<br />

Blundell & Bond (1998) show that <strong>the</strong> <strong>in</strong>struments <strong>of</strong> <strong>the</strong> GMM-DIF (first-differenced GMM<br />

estimator <strong>of</strong> Arellano & Bond, 1991) are poor, and show also that it may be improved by<br />

us<strong>in</strong>g lagged differences as <strong>in</strong>struments for equations <strong>in</strong> levels 5 . Their estimator is called<br />

system GMM (GMM-SYS).<br />

4. Statistical and econometric results<br />

4.1 Data<br />

We consider Tunisia’s <strong>coastal</strong> <strong>area</strong>, which <strong>in</strong>cludes eleven governorates (Bizerte, Tunis,<br />

Ariana, Ben Arous, Manouba, Zaghouan, Nabeul, Sousse, Monastir, Mahdia and Sfax)<br />

among twenty-four (see Figure 5). The <strong>coastal</strong> region covers 15% <strong>of</strong> <strong>the</strong> total <strong>area</strong> <strong>of</strong> <strong>the</strong><br />

country but it <strong>in</strong>cludes more than 60% <strong>of</strong> <strong>the</strong> global population and 64% <strong>of</strong> total <strong>employment</strong>.<br />

The eleven governorates are organized adm<strong>in</strong>istratively <strong>in</strong> 138 delegations correspond<strong>in</strong>g to<br />

<strong>the</strong> spatial scale reta<strong>in</strong>ed <strong>in</strong> this study. 6<br />

We use Commissariat Général au Développement Régional database. We have a panel <strong>of</strong><br />

138 delegations observed from 2002 to 2007. For each delegation we have <strong>in</strong>formation on<br />

5 The first-differenced GMM estimator has been found to have poor f<strong>in</strong>ite sample properties, <strong>in</strong> terms <strong>of</strong> bias<br />

and imprecision, if <strong>the</strong> lagged levels are only weakly correlated with subsequent first-differences. Thus, <strong>the</strong><br />

<strong>in</strong>struments used <strong>in</strong> <strong>the</strong> first-differenced equations are weak (Blundell & Bond, 1998).<br />

6 Delegation is <strong>the</strong> smallest adm<strong>in</strong>istrative <strong>area</strong> <strong>in</strong> Tunisia for which data is available.<br />

i<br />

i<br />

F<br />

xi<br />

(9)<br />

9

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