One-Sided Violence Against Civilians in War:
Some Alternative Specifications

This is an appendix for Kristine Eck & Lisa Hultman, 2007. “One-Sided Violence
Against Civilians in War. Insights from New Fatality Data”, Journal of Peace
Research 44 (2): 233-246.

In this appendix, we present several alternative specifications of the models in Table
IV in the article. The first table includes all the logit models predicting the incidenceof one-sided violence in armed conflict, 1989-2004; all other tables present thenegative binomial regression models of the magnitude of one-sided violence for thesame period. All models are first included in their original form to facilitatecomparison. The following specifications are made:•Different cut-off points are used for the dummy variables for autocracy anddemocracy. Autocracy2 is coded as –10 to –6 on the Polity scale, andDemocracy2 is coded as 6 to 10. While the cut-off points used in the article
follow the coding of Harff (2003), with which we make the comparison, thesecut-off points are instead in line with Hegre et al (2001).

•The polity scale from –10 to 10, and in some models its squared form, areused instead of the dummies to detect linearity or curvlinearity.

•The natural log of trade (which is the annual trade as a percentage of GDP) isused.

•For the count models, Rwanda 1994 is included (which is an outlier that wasexcluded in all the models in the article).

1

Table 1. Models 1 and 2:
Logit of incidence of one-sided violence, all actors

Previous war

1a (original)
0.144(0.262)1b0.156(0.261)

Civil war
Autocracy-0.255(0.253)

Autocracy2

2a (original)

2b0.787***(0.185)-0.24(0.308)0.813***(0.180)-0.596(0.365)

Democracy-0.642**(0.287)0.251(0.328)

Democracy2
Trade

0.143
(0.265)-0.002(0.004)

Ln(Trade)-0.049(0.191)GovernmentOne-sided
violencet-1
Constant
Pseudo R2N

2.034***(0.207)-1.835***(0.367)0.15601073

2.065***(0.207)-1.769**(0.848)0.16041073-0.421(0.269)1.937***(0.207)-2.783***(0.358)0.17081256-0.425(0.270)1.965***(0.212)-2.759***(0.292)0.17671256Standard errors adjusted for clustering on country. Estimations performed using Stata 8.0. * p < .1; ** p < .05; ***p < .01 (two-tailed tests).

Comments to Table 1
This table contains the two logit models using alternative specifications for autocracy,
democracy and trade. The only change in results is that autocracy with the alternative
cut-off point has a significant negative effect on the incidence of one-sided violencein model 2b.

2

Table 2. Model 3:
Negative binomial regression of number killed in one-sided violence, all actors

Previous warAutocracy

3a (original)
0.314(0.361)0.433(0.332)

Autocracy2
Trade

LnalphaAlphaN

3c (with Rwanda 1994)
1.868***(0.707)2.516***(0.859)-0.060(0.450)-0.006(0.004)

Ln(Trade)One-sided
violencet-1
Constant

3b0.244(0.393)0.009***(0.002)2.887***
(0.4)
3.082
(0.169)21.792(3.682)991

0.019(0.019)-0.069(0.429)0.009***(0.002)3.110*(1.743)3.089(0.167)21.946(3.660)991

0.009(0.006)0.706(1.058)3.323(0.187)27.734(5.186)992

Standard errors adjusted for clustering on country. Estimations performed using Stata 8.0. * p < .1; ** p < .05; ***p < .01 (two-tailed tests).

Comments on Table 2
Model 3b presents model 3 with alternative specifications of autocracy and trade,which does not change the results substantially (autocracy2 has a negative signinstead of a positive, but the standard error is still large). In model 3c, which includes
Rwanda 1994, the results are altered to a large extent. Previous war now has a strong
positive effect, while previous one-sided violence does not. Moreover, autocracy now
also has a positive significant effect. This not only illustrates how influential theobservation of Rwanda 1994 is, but it also further highlights the difference between
genocide and one-sided violence: when we include the only clear incident of genocide
during the observed period, two of the three factors identified by Harff have strong
effects.

3

Table 3. Model 4:
Negative binomial regression of number killed in one-sided violence, all actors
4a (original)4b4c4d, (incl.
Rwanda 1994)
Civil war
1.008***
1.029***
1.039***
0.490(0.342)(0.388)(0.357)(0.522)
Autocracy
0.888**
1.851***(0.369)(0.546)
Autocracy2-0.134(0.531)
Democracy
0.722**
1.244**(0.349)(0.533)
Democracy2-0.119(0.347)
Polity0.0006(0.032)
Polity squared-0.002(0.006)
Government
0.021
0.038
0.011
2.850***(0.341)(0.346)(0.339)(0.965)One-sided
0.01***
0.009***
0.009***
0.013**
violencet-1(0.002)(0.002)(0.002)(0.005)Constant
0.939*
1.720***
1.722
0.890
(0.548)(0.620)(0.598)(0.923)
Lnalpha
3.177
3.185
3.185
3.407
(0.163)(0.162)(0.162)(0.170)Alpha
23.96624.17024.17130.189(3.897)(3.915)(3.918)(5.120)
N
1159
1159
1159
1160

4e, (incl.
Rwanda 1994)
0.305(0.400)-0.187*(0.100)0.026**(0.013)
1.883**(0.882)0.012***(0.004)
1.984***(0.715)3.400(0.173)29.965(5.171)
1160

Standard errors adjusted for clustering on country. Estimations performed using Stata 8.0. * p < .1; ** p < .05; ***p < .01 (two-tailed tests).

Comment to Table 3
As model 4b reveals, the effect of autocracy and democracy are both sensitive to thecut-off point; these are no longer significant. In 4c polity and polity squared are usedinstead, but these are not statistically significant either. Hence, the U-shaped effectfound in the original model is not strictly curvilinear. When including Rwanda 1994,
democracy and autocracy are both positive and significant, as in the original model.
However, civil war has lost its significant effect, and instead the government dummy
is positive and strongly significant. Rwanda 1994 is coded as a minor armed conflict,which explains why civil war no longer has any effect – Rwanda is simply a strongly
influential case in this model. While there is no significant difference between
governments and rebels in the original model, governments are significantly more
violent when including the single case of the Rwandan genocide. Also noteworthy isthat when using the polity variables with Rwanda 1994 included, as in model 4e,
polity has a negative and polity squared a positive effect, both statistically significant.
Hence, when including Rwanda the U-shaped correlation appears again.
4Table 4. Model 5:
Negative binomial regression of number killed in one-sided violence, governments only
5a (original)
5b5c
5d (incl.
5e (incl.
Rwanda 1994) Rwanda 1994)
Civil war
0.680
0.574
0.681
-1.088-0.528(0.464)(0.495)(0.468)(0.708)(0.673)
Autocracy
1.171*
4.319***(0.631)(1.467)
Autocracy2
0.674(0.624)
Democracy-0.0520.256(0.73)(0.534)
Democracy2-0.890(0.651)
Polity-0.085**-0.421***(0.043)(0.098)
Polity squared-0.0070.026**(0.008)(0.012)One-sided
0.008***
0.007**
0.007**
0.012
0.007
violencet-1(0.003)(0.003)(0.003)(0.018)(0.006)
Constant
1.425
2.333***
2.399***
3.558**
4.466***(0.897)(0.864)(0.881)(1.375)(1.230)
Lnalpha
3.595
3.599
3.597
3.882
3.838
(0.202)(0.199)(0.202)(0.212)(0.209)Alpha36.41136.54536.50448.54346.426(7.352)(7.279)(7.367)(10.307)(9.691)
426
426
426
427
427
N
Standard errors adjusted for clustering on country. Estimations performed using Stata 8.0. * p < .1; ** p < .05; ***p < .01 (two-tailed tests).

Comment to Table 4
Again, the effect of autocracy is proven to be sensitive to the alternative cut-off point,since it no longer has a significant effect in model 5b. However, when using the polity
scale, as in model 5c, polity has a negative and significant effect, implying that moredemocratic governments are less violent. When adding the observation of Rwanda
1994 to the original model, which is shown in model 5d, the only substantial change
is that the lagged dependent variable no longer has a significant effect. Model 5ereports the effect of polity and polity squared with Rwanda 1994 included. The mostinteresting change, compared to model 5c, is that polity squared has a positive andsignificant effect. Hence, when including Rwanda the U-shape appears again, as inmodel 4e in Table 3.

5Table 5. Model 6:
Negative binomial regression of number killed in one-sided violence, rebel groups only
6a (original)
6b6c
Civil war
1.086**
1.006**
1.005**(0.442)(0.437)(0.421)
Autocracy
0.747(0.584)
Autocracy2-0.691(0.589)
Democracy
0.966*(0.558)
Democracy2
0.089(0.388)
Polity0.043(0.040)
Polity squared-0.004(0.007)
One-sided
0.010***
0.010***
0.010***
violencet-1(0.002)(0.002)(0.002)
Constant
0.792
1.773**
1.753**(0.838)(0.688)(0.677)
Lnalpha
2.950
2.948
2.954
(0.204)(0.205)(0.205)Alpha
19.10619.07319.189(3.906)(3.905)(3.936)
733
733
733
N
Standard errors adjusted for clustering on country. Estimations performed using Stata 8.0. * p < .1; ** p < .05; ***p < .01 (two-tailed tests).

Comment to Table 5
The positive effect of democracy depends entirely on the cut-off point used. Whenusing 6 on the polity scale for democracy, as in model 6b, the effect is no longer
significant. The polity scale does not have a significant effect either, as model 6cshows. Our article and these alternative specifications indicate that democracy might
be an important factor when accounting for one-sided violence by non-state actors,
but that it is not a simple correlation. What the actual effect of democracy on onesided violence by rebel groups looks like requires more theorizing and further
empirical evaluations.

6