Effect of Actual and Perceived Violence on Internal Migration: Evidence from Mexico’s Drug War

Abstract According to the Organisation for Economic Co-operation and Development (OECD), violence should be considered by examining both actual and perceived crime. However, the studies related to violence and internal migration under the Mexican drug war episode focus only on one aspect of violence (perception or actual), so their conclusions rely mostly on limited evidence. This article complements previous work by examining the effects of both perceived and actual violence on interstate migration through estimation of a gravity model along three 5-year periods spanning from 2000 to 2015. Using the methods of generalized maximum entropy (to account for endogeneity) and the Blinder–Oaxaca decomposition, the results show that actual violence (measured by homicide rates) does affect migration, but perceived violence explains a greater proportion of higher average migration after 2005. Since this proportion increased after 2010 and actual violence, the results suggest that there was some adaptation to the new levels of violence in the period 2010–2015.


Introduction
In 2006, former president Felipe Calderon began the "war against drugs" in Mexico, a starting point for a considerable increase in the levels of violence in the country (Rios Contreras, 2014;Ybañez Zepeda and Alarcon, 2014). The sharp rise in several types of crime, such as homicides, extortion, and kidnapping, during this war provides a valuable opportunity to enrich the understanding about the link between violence and migration, since interest on forced migration at the international level began to rise recently (Fitzgerald, 2015;Engel and Ibañez, 2007).
Previous empirical work on the effects of violence on migration has not been conclusive, but it exposes some important considerations. Various international studies reinforce the argument that violence on certain location promote emigration (Bohra-Mishra and Massey, 2011;Ibañez and Velez, 2005;Engel and Ibañez, 2007;Morrison, 1993;Rios Contreras, 2014).
However, estimation of the effects of violence may be sensible to different ways of controlling endogeneity (Basu and Pearlman, 2017) and other determinants of migration such as social and political conditions (Alvarado and Massey, 2010). Furthermore, sensibility of the effect of violence on migration may depend on the level of violence; for example, Bohra-Mishra and Massey (2011) and Morrison (1993) found that this relationship is not linear, i.e., when violence levels in a society are small their effect on emigration is negative, and the effect becomes positive when violence levels increment beyond a certain point. In their study, Ibañez and Velez (2005) found that in the presence of violence, other migration determinants produce opposite effects.
Violence may affect migration decisions depending on individuals' socioeconomic (Arceo-Gomez, 2012) or psychological (Becker and Rubinstein, 2011) conditions. In this regard, Becker and Rubinstein (2011) argued that fear affects emotions, which in turn affect beliefs and behavior; however, individuals adjust the latter, i.e., individuals may control their emotions, so violence may have a null effect on their behavior. Finally, migration analysis may depend whether movements are interstate or international (Chiquiar and Hanson, 2005), so findings by Bohra-Mishra and Massey (2011) suggested that the effect of violence on both types of migration should be analyzed distinctively.
Studies that examine the effect of violence on migration decisions and flows of Mexican population have taken different approaches to deal with some issues mentioned earlier, also reaching inconsistent conclusions that need further analysis. For instance, Rios Contreras (2014) found that drug-related homicides caused migration, and Arceo-Gomez (2012) found that the drug war increased college-educated migration to the USA. Ybañez Zepeda and Alarcon (2014) mentioned that Mexican drug war increased homicides in the northern states of the country, which had an impact on migration patterns. However, the authors based their conclusion merely on descriptive analysis, so their assertion of causality may be considered unjustifiable. Quintana and Salgado (2016) suggested that Mexican drug war reduced immigration to the northern states but increased it to the south and center states of the country, though they do not provide empirical evidence. Moreover, the authors suggested that the effect of violence on migration could be extracted from the fixed effect of a longitudinal econometric model; however, since this effect is particular to each unit of observation-and may include information of other characteristics of such unit of observation-it is difficult to isolate or generalize the effect of violence on migration from these fixed effects. In addition, Robles et al. (2013) and Quiroz Felix et al. (2015) argued that violence in Mexico has caused forced migration, but they do not provide empirical evidence to support their argument. Nevertheless, these authors showed other negative socioeconomic effects-resumed in increments of crime and a reduced economic activity-caused by Mexican drug war. On the other hand, Alvarado and Massey (2010) found that homicides in Mexico reduced the probability to migrate to the USA, and Basu and Pearlman (2017) found little evidence that Mexican drug war caused interstate migration.
This article proceeds from three important features highlighted in the literature which allow a suitable estimation of violence effects on Mexican interstate migration flows. First, the estimation strategy emphasizes the possible differences in the effects of actual and perceived violence on interstate migration. Since violent actions also affect non-victims (Organisation for Economic Co-operation and Development [OECD], 2011), perceived violence effects may add up to the effects that actual violence has on migration decisions. Thus, the present article departs from other approaches that use only homicide data as an indicator of violence (Ramirez de Garay, 2014;Quiroz Felix et al., 2015;Robles et al., 2013;Quintana and Salgado, 2016;Ceron Monroy and Silva Urrutia, 2017;Meseguer et al., 2017;Ybañez Zepeda and Alarcon, 2014;Feldmeyer et al., 2018) or consider actual violence as a proxy of perceived violence (Basu and Pearlman, 2017).
Second, the estimation strategy aims to comprise a comprehensive set of migration determinants. In this regard, recent studies regarding internal migration in Mexico have departed from the traditional neoclassical economic approach that examines rural-urban migration (Todaro, 1980) by considering determinants related to more than one theoretical approach.
Referring to this, Fitzgerald (2015) stated that the theoretical framework regarding economic determinants of migration comprises wage differentials (Bartel, 1979;Harris and Todaro, 1970;Borjas, 1987), diversification strategies of household economic portfolios (Stark and Bloom, 1985;Anam and Chiang, 2007), credit market failures, structural demand of immigrants in modern economies, and liquidity constraints of migration financing. Other group of migration theories take an economic and sociological approach, which include the study of skilled versus unskilled labor migration, localized temporary migration programs (Piore, 1979), and the world systems theory (Bean and Brown, 2015), or a social approach that includes the theory of networks (Bean and Brown, 2015), the role of the State and migration policy (Massey, 2015), and forced migration (primarily refugee policy). Based on these theories, determinants of migration used in recent literature include wage differences (Quintana and Salgado, 2016), gross domestic product (GDP) levels (Soloaga et al., 2010), unemployment rates (Villarreal and Hamilton, 2012), foreign direct investment (FDI) levels (Flores et al., 2013), dummy variables for a common border with the USA (Soloaga et al., 2010;Peeters, 2012), maquiladora employment (Varela Llamas et al., 2017), proportion of previous migrants and distance (Peeters, 2012), education levels (Aguallo-Tellez and Martinez-Navarro, 2013), and population levels (Peeters, 2012;Villarreal and Hamilton, 2012).
Third, Basu and Pearlman (2017) highlighted a potential problem of endogeneity caused by state-characteristic omitted variables that jointly determine migration flows and violence, i.e., there may be factors such as institutions or effectiveness of drug-related organizations that simultaneously determine violence levels and migration flows. To obtain an exogenous variation of the effect of violence, Basu and Pearlman (2017) followed an instrumental variables approach. However, this methodology has two shortcomings: although a valid instrument provides consistent estimates of the effect of regressors on interstate migration flows, it comes with a loss of precision that increases with weaker instruments (Cameron and Trivedi, 2005).
Furthermore, endogeneity may be caused by other spatial-structural factors (Peeters, 2012) that include state-characteristic omitted variables that jointly influence interstate migration and its determinants. Therefore, instead of following the instrumental variables approach, Peeters's (2012) three-way fixed effects method is recommended.
The remainder of this article is organized as follows. Section 2 presents the data, the gravity model, and econometric methods proposed to estimate the effects of perceived and actual violence on interstate migration within Mexico. Section 3 discusses the main results, and Section 4 provides some conclusions.

Estimation strategy
Mexican drug war initiated in the first year of ex-president Felipe Calderon's mandate, i.e.,

2006.
To appropriately capture changes on the violence structure associated with Mexican drug war and its effects on migration, the empirical analysis considers data from 2000 to 2015.
Due to the availability of information on interstate migration in Mexico, the period is divided into three 5-year subperiods that separate the data before and after the beginning of the drug war: the first period covers the years 2000-2005 (before the drug war), the second period covers the years 2005-2010 (beginning of the drug war), and the third period covers the years 2010-2015 (extension and "inertia" of the drug war).
To estimate the influence of violence on internal migration in Mexico, the present study takes the personal security approach referred by the OECD (2011), i.e., the influence of both actual and perceived violence on internal migration. Thus, at first a descriptive and comparative analysis of interstate migration and actual violence-measured by the annual average of state homicide rates-in the three periods examined will be provided. Subsequently, the gravity model expressed in equation (1) will be estimated.
In this model, the natural logarithm of migrant individuals going from state j (origin state) to state i (destination state) in period t (lm ijt ) is a function of lthomave t , a vector of variables referring to the annual average homicide rates (in logarithms) of destination and origin states, and c t , a vector of control variables-determinants alluded by the theories mentioned in Section 1 of the present article. Specifically, this vector includes logs of origin's and destination's real GDPs, unemployment rates, education levels (years of schooling), FDI, and populations (15 years and older); also the vector includes the log of the distance between origin and destination (main cities), the difference between destination's and origin's birthrates, the difference between destination's and origin's average daily wages, the log of the proportion of the population from origin living in destination at the beginning of period t (previous immigrant proportion), and a dummy equal to 1 if destination shares a border with the USA. β and γ are parameter vectors to be estimated, c is a constant parameter, and u ijt is the idiosyncratic error.
To deal with endogeneity in model (1), estimation of β and γ entails controlling the individual characteristics of each state for each migration situation-whether it is origin or destination-in addition to each migration path relation (Peeters, 2012). In other words, estimation requires to control for fixed effects in three directions: origin state, destination state, and origin-destination path. 1 Therefore, following the suggestion of Peeters (2012), the gravity model is estimated using the method of generalized maximum entropy (GME) with three-way fixed effects (3FE). To compare the results with previous work, two-way fixed effects (2FE) estimations by GME-as well as traditional ordinary least squares (OLS) and Poisson pseudo maximum likelihood (PPML)-are also presented.
Subsequently, the effect of violence perception on interstate migration will be estimated by applying the Blinder-Oaxaca decomposition to the GME outcome. By means of this decomposition, equation (1) is divided into equation (2), the predicted migration in the period before the beginning of the drug war (2000)(2001)(2002)(2003)(2004)(2005)-the reference category for comparison-and equation (3), the predicted migration in period 2 (beginning of the drug war) or period 3 (continuation of the war and the levels of violence), to decompose the difference through equation (4).
Although the subscripts shown in equations (2) and (4) denote only for period 2, comparisons are also made between periods 1 and 3.

lm X
In equations (2) and (3), lm 1 and lm 2 represent migration mean predictions in periods 1 and 2, respectively, and X 1 and X 2 are vectors of migration determinants in periods 1 and 2, respectively. Equation (4) shows that the difference between migration mean predictions in periods 1 and 2-lm 2 -lm 1 -can be attributed (decomposed) into differences in migrationdeterminants conditions (also known as endowments) between periods 2 and 1-  α α ′ ( -X ) 1 2 2and differences aside from migration determinant conditions, i.e., unexplained factors related to those determinants-(   α α ′ -X ( ) 1 2 1 . From equations (1) and (4), it is clear that this unexplained component provides information regarding changes in elasticities-expected migration to migration determinants-from period 1 to period 2. Therefore, if a determinant's coefficients difference is not zero, it means that holding constant the level (condition) of that determinant from period 1 to period 2, expected migration changes nonetheless because of a greater elasticity on that determinant.
An important concern in estimating violence perception effects on migration is that interpretation of the unexplained component may include more than changes in perceptions (Barrera-Osorio et al., 2011). Thus, the perception interpretation of the unexplained component relies on two main assumptions: the model includes sufficient determinants that explain internal migration from a theoretical-empirical base, and Becker and Rubinstein (2011) hypothesized that individuals adjust their behavior when they cope with fear holds. The first assumption considers that the Blinder-Oaxaca unexplained component subsumes the effects of group differences in unobserved predictors (Jann, 2008), so its interpretation depends on the 1 The inclusion of the fixed effects presents an econometric problem since the resulting parameters to be estimated surpass the number of observations. For instance, for 32 states, the inclusion of origin-destination path-fixed effects requires the estimation of 992 dummies. According to Corral and Terbish (2015), GME allows the consistent estimation of this model. Besides, Corral and Terbish (2015) mentioned other advantages of GME regarding efficiency.
assumption that there are no relevant unobserved predictors (Jann, 2008)-i.e., an omittedvariables condition (Stanley and Jarrell, 1998)-and the set of observable regressors is sufficiently rich, theoretically derived (Neumark, 1988) to remove all migration differences between the groups, so that any unexplained differences represent ability-type effects (Elder et al., 2009), such as discrimination, favoritism, or perception.
The second assumption considers that, after detailed Blinder-Oaxaca decomposition, the homicide-related components show differences in migration flows in two periods due to different homicide levels (

Data
Following previous work (Basu and Pearlman, 2017;Peeters, 2012;Chiquiar and Hanson, 2005), March 2010. A concern using this data is that census information does not provide the timing of migration, so it does not capture information on short-run migration, 2 i.e., individuals who moved more than once within a 5-year period, or close to the beginning or end of each period.
Nevertheless, Table 1 shows that this long-run migration data capture the particular characteristic of migration flow increments after the drug war. For instance, net migration flows increased by 15% from period 1 to period 2 and remained high in period 3.  USA (Sinaloa, Durango and Zacatecas). Thus, it is evident that before the drug war net migration was primarily related to socioeconomic conditions. State-level homicide rates data 4 in each period were calculated as the ratio of average annual homicides per 1,000 people (15 years or older) 5 from INEGI's state-mortality statistics. Table 2 shows significant differences in average state homicide rates (and standard deviation) across the three periods analyzed, which indicate the overall violence increments after the beginning of the drug war. Figure 2 shows that homicide rates in Mexico exhibited spatial (across states) and temporary (across time) disparities along the three periods examined. For instance, there was a clear longitudinal inequality in homicide rates distribution: some states (e.g., Chihuahua) surpassed 0.5 homicides per 1,000 people, while others (e.g., Yucatan) did not exceed the 0.1 rate in any period. Even within the same region there are differences, such as in the case of Chiapas (less than a 0.15 rate in the three periods) and Guerrero (increased from a 0.34 rate in period 1 to more than 1.0 in period 3). In the beginning of drug war, most of the substantial increases (as much as 700%) in homicide rates occurred in northern states, where generally homicide rates were 4 A concern is that state-level drug-related violence may be too vague since this type of violence may occur in defined municipalities within a state. However, Figure 1 given by Basu and Pearlman (2017) shows that homicide increment variation within states occurred mostly in more than one municipality. 5 To test if results are sensible to this specification of the homicide variable, since crime and migration may commove and differ across groups, homicide rates were also defined for males (15 years or older) and young males (15-39 years old). However, the results did not vary significantly, so discussion was mainly referred to the original specification. Blinder-Oaxaca decompositions for males and young male homicide rates are shown in Appendices E and F, respectively.   3

Results and discussion
The geographic location of states that experienced the largest increases in homicide rates    Figure 5. However, the figure suggests a slight inverse relationship for the following periods, similarly to what was observed with net migration. Therefore, besides insinuating that actual violence may influence interstate migration, temporal changes suggest that there may be a threshold after which migration overreacts to high levels of actual violence (Bohra-Mishra and Massey, 2011;Morrison, 1993), which could be related to perceived violence since overreaction implies changes in the migration-violence elasticity.
To support a causal relationship between internal migration and actual violencemeasured by homicide rates-it is appropriate to realize the formal analysis via econometric Figure 4 Net migration (in thousands) and homicide rates in Mexican states by period.
Note: C stands for slope coefficient and S.E. for standard error of fitting curve.

Figure 5
Immigration and homicide rates (per 1,000 people) in Mexican states, by period.
Note: C stands for slope coefficient and S.E. for standard error of fitting curve.
modeling and estimation explained in Section 2.1. Table 3 shows estimation of equation (1) considering all periods by the methods explained in Section 2.1: OLS and PPML controlling by fixed effects in two directions (OLS 2FE and PPML 2FE columns, respectively), and GME controlling by fixed effects in two and three directions (GME 2FE and GME 3FE columns, respectively). Since there are structural changes across periods, temporal dummies are included for the periods 2005-2010 and 2010-2015 (periods 2 and 3 dummies, respectively). The results in Table 3 present another advantage of GME 3FE estimates besides controlling endogeneity: most of the OLS and PPML coefficients are not significant at a 95% level despite there is no high multicollinearity among regressors (the correlation matrix is shown in Appendix D).
Nevertheless, Peeters (2012) explained that OLS and PPML (even GME 2FE) coefficients are not reliable since path-specific fixed effects are omitted, so GME 3FE results should be considered for interpretation. GME 3FE estimates in Table 3 show that on average migration increases ( The results in Table 3 support that homicide rates do have an impact on migration-on average, homicide rates in destination deter migration while homicide rates in origin increase it. Moreover, they show that on average homicide rates in destination have a slightly greater effect on migration. However, the results in Table 4 show that the effect of violence presents slight differences whether homicides occur in origin or destination, or a different period, after controlling for other covariates. For instance, the negative effect of homicide rates in destination on migration holds only for periods 1 and 2, but in period 3 the effect changed direction, i.e., in the period 2010-2015 an increase in homicide rates-whether in origin or destinationreduced migration. Since the estimation in Table 4 controls all covariates specified in equation (1) except structural changes captured by dummy estimation of period 3 given in Table 3  Morrison, 1993) 6 or different sociopolitical conditions (Alvarado and Massey, 2010). In this regard, Mexico suffered considerable political changes brought by the regime transition since 2010 and the modified strategy on the drug war when former president Enrique Pena Nieto took mandate in 2012. Despite the federal government reduced the intensity of the war against drug cartels and established structural reforms in important areas such as education, energy, labor, and economics, homicide levels increased.
In addition, the negative effect of origin's homicide rates on emigration in period 3 could be associated with changes in migration trends or costs. For instance, the period 2010-2015 exhibited the greatest homicide rates, but it had similar migration flows than the period 6 These authors found that violence affects migration differently at different levels of intensity, so a nonlinear relationship may be more appropriate to estimate. Unfortunately, quadratic terms for homicide variables could not be included in regressions explained in Table 4 because GME estimation encountered perfect collinearity in the linear terms. Notes: **p < 0.01, *p < 0.05. Standard errors in parenthesis. Total sample (2000)(2001)(2002)(2003)(2004)(2005)(2006)(2007)(2008)(2009)(2010)(2011)(2012)(2013)(2014)(2015). OLS, ordinary least squares; PPML, Poisson pseudo maximum likelihood; GME, generalized maximum entropy; 2FE, two-way fixed effects; 3FE, three-way fixed effects. 2005-2010. Therefore, the negative relationship may indicate people who emigrated in period 2, despite of the higher levels of crime returned to their origin states in period 3 (temporary migrants), or may be reflecting new barriers to emigration in states with high homicide rates.

OLS 2FE PPML 2FE GME 2FE GME 3FE
Another reason is that the beliefs and behavior of individuals regarding crime were adjusted (Becker and Rubinstein, 2011) by period 3, i.e., individuals did not migrate as much because they controlled their emotions and adjusted their beliefs (perceptions) of safety despite higher homicide levels in period 3. Under adaptation theory and evolutionary psychology (see, e.g., Buss, 2012;Chapman et al., 2010), it can be argued that after a phase of high levels in actual violence people may get familiarized (adaptive fear), so they stop reacting (emigrating) to high levels of violence as they did before, i.e., emigration to homicide-rate-at-origin elasticity became less elastic. Duntley (2015) implied that people may expose themselves to risk and danger-related experiences as an evolutionary mechanism of defense. Becker and Rubinstein (2011) found evidence from Israel that supports this hypothesis of behavior adaptation toward crime. More insight regarding this possible explanation is discussed from a detailed decomposition of estimates in Table 4.
Decomposition of the difference between periods 1 and 2 migration mean predictions is displayed in detail (columns under "Decomposition P1-P2" in Table 5) to examine the individual contribution-explained and unexplained-of each migration determinant to the difference. As described in Section 2.1, explained-decomposed coefficients indicate how condition differences in regressors between periods 1 and 2 contribute to the overall difference in migration mean predictions; also, unexplained-decomposed coefficients indicate the contribution to the difference due to factors related to each regressor but distinct from its condition, so this unexplained component is assumed to be mostly related to regressor-related perceptions in each period. Explicitly, the explained-decomposed coefficient (-0.265) indicates that compared with period 1, average migration in period 2 was smaller due to changes in migration determinant conditions. For instance, immigrant proportion average-a significant determinant of migration-was more than 30% smaller in period 2 than in period 1, and some potential migrant receptor states (such as border states) suffered changes (such as increments in homicide rates) in period 2 that deterred migration according to theory. Still, the unexplained component presented a sufficiently large effect (0.661) to turn the overall outcome into a positive difference, i.e., a greater average migration in period 2.
The first detailed decomposition (column "Explained of Decomposition P1-P2" in Table 5) shows that the regressors whose (changed) conditions explain a greater average migration in period 2 compared with period 1 include origin's homicide rate (0.033) and unemployment (0.029), and destination's real GDP (0.017) and population (0.052). On the other hand, immigrant proportion and destination's homicide rate explain a smaller average migration difference. As expected, coefficients of constant determinants (distance and the border dummy) do not contribute to differences in average migration between both periods. Again, this evidence supports the argument that increments of crime levels after the beginning of the drug war increased interstate migration flows in period 2.
The second detailed decomposition (column "Unexplained of Decomposition P1-P2" in Table 5) shows that the unexplained reasons (mostly related to perception changes) that increased the average migration difference between periods 2 and 1 were related to distance, origin's GDP, origin's FDI, and destination's population. On the other hand, unexplained  reasons related to destination's GDP and unemployment, origin's population, and immigrant proportion reduced the average migration difference between these periods. In this case, destination's homicide rate unexplained coefficient was not significant, but origin's homicide rate was at a 95% level indicating that the unexplained feature of this regressor increased the average migration difference. As argued on Section 2.1, since drug-related homicides increased considerably in period 2, homicide unexplained coefficients may imply migration due to changes in homicides composition rather than violence perception. However, since destination's homicide rate unexplained coefficient was not statistically significant, this argument does not hold.
Therefore, the origin's homicide unexplained coefficient may reflect changes mostly in violence perception. 7 An important aspect to note is that most unexplained coefficients present greater magnitudes than explained coefficients, so migration in period 2 changed primarily due to perceptions rather than factual conditions of migration determinants. This is in accordance with the argument that migration decisions imply rather significant uncertainty and incomplete information regarding their true costs and benefits and may explain why some studies have found little evidence of the migration response to violence (e.g., Basu and Pearlman, 2017). Since homicide rates unexplained coefficients are greater than explained coefficients, and despite the significant increases in violence in period 2 the average migration difference between periods 1 and 2 could be attributed primarily to violence perception rather than actual violence.
In addition, Table 5 displays a greater migration mean in period 3 than in period 1, 8 though smaller than in period 2. In contrast with the decomposition of the difference between periods 1 and 2 migration mean predictions, the decomposition between periods 1 and 3 shows that average migration was higher in period 3 due to both explained and unexplained factors.
Still, the unexplained part accounts for a greater (approximately 67%) portion of the difference, and only five regressors present a significant explained contribution, i.e., destination's GDP, population, and homicide rate, and origin's unemployment and homicide rate. The explained decomposition shows similar results, regarding the sign of coefficients, to those found between periods 1 and 2 explained decomposition. For instance, condition changes of population in destination, homicide rate in origin, and unemployment in origin (coefficients of 0.126, 0.073, and 0.066, respectively) increased the average migration difference between periods 3 and 1.
Again, the homicide rate in destination presents a negative sign, so homicide conditions in destination explained a smaller expected migration in period 3 compared with period 1. Also, constant regressors (distance and the border dummy) do not contribute to differences between migration predictions of periods 1 and 3 as expected.
However, compared with the unexplained decomposition between periods 1 and 2, the unexplained coefficients of periods 1 and 3 decomposition shows some changes regarding the sign and significance for some regressors. For instance, distance has a negative contribution on the average migration difference, perhaps due to the perception that a larger distance was related to greater risk, and homicide rate in destination and immigrant proportion have a positive contribution on the average migration difference. Also coefficients of destination's population, origin's FDI, and origin's GDP have a greater contribution (14.79, 6.98, and 6.36, respectively), but destination's GDP and origin's population have a negative contribution on the average migration difference (coefficients of -20.7 and -10.76, respectively).
Finally, both homicide rates unexplained coefficients are positive and significant, suggesting that violence perception influenced a greater average migration in period 3 compared with period 1. Despite periods 2 and 3 presented a similar homicide-type composition, the proportion of the homicide rates unexplained coefficients with respect to explained is greater than the difference in decomposition between periods 1 and 2. For instance, Table 5 shows that, in the decomposition between periods 1 and 2 the unexplained coefficient of origin's homicide rate (0.56) is nearly 17 times the explained coefficient (0.033), but in the decomposition between periods 1 and 3 it is more than 50 times greater (4.28-0.073). Again, these results reinforce the argument that certain adaptation to high levels of violence was present in period 3, since interstate migration reacted relatively more to perceived violence than to an increased actual violence.

Conclusions
This   Variables are log of distance (ldist), log of real GDP (lgdp), log of unemployment rate (lunem), log of education (leduc), log of FDI (lfdi), log of homicide rate average (lthomav), birthrate difference between origin and destination (difbth), log of population (lpop), wage difference between origin and destination (difw), and log of immigrant proportion (lpormig).