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Structural Determinants of Homicide: The Big Three

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Abstract

Building upon and expanding the previous research into structural determinants of homicide, particularly the work of Land, McCall, and Cohen (1990), the current paper introduces a multilevel theoretical framework that outlines the influences of three major structural forces on homicidal violence. The Big Three are poverty/low education, racial composition, and the disruption of family structure. These three factors exert their effects on violence at the following levels: neighborhood/community level, family/social interpersonal level, and individual level. It is shown algebraically how individual-level and aggregate-level effects contribute to the size of regression coefficients in aggregate-level analyses. In the empirical part of the study, the presented theoretical model is tested using county-level data to estimate separate effects of each of the Big Three factors on homicide at two time periods: 1950–1960 and 1995–2005 (chosen to be as far removed from one another as the availability of data allows). All major variables typically used in homicide research are included as statistical controls. The results of analyses show that the effects of the three major structural forces—poverty/low education, race, and divorce rates—on homicide rates in US counties are remarkably strong. Moreover, the effect sizes of each of the Big Three are found to be identical for both time periods despite profound changes in the economic and social situation in the United States over the past half-century. This remarkable stability in the effect sizes implies the stability of homicidal violence in response to certain structural conditions.

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Notes

  1. On the issue of significant differences between races in family situation dynamics, Cavan’s (1959) comparison of white and black institutionalized delinquents provides a good illustration:

    Many boys had lived in several types of families during their lives (e.g., with both parents at one time, with a parent and step-parent at another, with relatives at some other time, and so on). Negro boys had a median of 2.1 different family situations, whites a median of 1.0. Half of the whites but only a fifth of the Negroes had continuously lived in the same family situation; at the other extreme, 17 per cent of the Negro boys but only 5 per cent of the white boys had lived in four or more different types of families. Moreover, almost four times as many Negro boys as white (37 and 10 per cent) had lived at some point with relatives and 18 and 4 per cent respectively had at some time resided in the homes of people to whom they were not related. (Cavan 1959, pp. 235–236).

  2. Pettit and Western (2004) estimated that among black men born between 1965 and 1969, 20% had served time in prison by their early thirties (compared to only 3% of white men). This number—already unbelievably high—further climbs to 30% for black men without college education, and to 60% for high school dropouts among blacks.

  3. The spatial-effects coefficient failed to reach statistical significance under the traditional p < .05 level of significance. The results of analyses are available upon request from the author.

  4. MA and NYC exceptions for the historical dataset: for counties in the state of Massachusetts, homicide counts were available for 6 years out of 11 (1950–1952, 1955, 1959–1960); and for New York City counties (boroughs), separate homicide counts were available for 8 years out of 11 (1950, 1954–1960). No imputation procedures were used. Homicide rates were calculated using the available number of years in the denominator.

  5. To form the index of poverty, the variables for percent of families in poverty and percent “uneducated” were summed up in their original metric (non-standardized). This has been done for several reasons: (1) to preserve the absolute zero of the original scales, (2) to let the original distributions determine which of the two variables contributes more to the index of poverty, depending on the time period; (3) for easier interpretability of results in further analyses (slopes for logged variables in OLS regressions are interpreted as a percent change impact on the dependent variable).

  6. Ideally, “percent children in single-parent families” needs to be included along with the divorce rate to form the index of family structure. However, this measure is available for the 1995–2005 dataset but not for the 1950–1960 dataset. Thus, only divorce rate remained as a measure of family disruption in the model.

  7. “Percent non-white” from 1950 to 1960 census data is the best approximation of “percent black” in the 2000 census data. Unfortunately, the exact same measure—percent black—was not available in the earlier census data but considering that the US had very few residents representing other racial groups than blacks and whites, “percent non-white” can be taken as a valid measure of percent black in 1950 and 1960. In addition, one of the anonymous reviewers suggested restricting analyses to counties with 1,000 or more black residents to test the sensitivity of estimates to the size of black population in the counties. The data were re-analyzed with these restrictions in place (resulting in a loss of slightly over 10% of the sample) and very similar estimates were obtained for all variables of interest.

  8. To accommodate some recent sentiments in research literature that the West is now becoming what the South used to be in terms of the rate of violence (see Parker and Pruitt 2000), and also to measure regional peculiarities in a more comprehensive manner, regions are designated by dummy variables using traditional census divisions: South, West, and Midwest, with Northeast being the reference category.

  9. The percent of families in poverty is calculated using the threshold of family income “less than $2000” in 1950, “less than $3000” in 1959 (for 1960), and “below poverty level in 1999” (for 2000). The official poverty level is determined by the family size and does not vary geographically (though it is regularly updated for inflation).

  10. Low education is measured as the percentage of persons 25 years and older with “less than 5 years of education” for 1950, “less than 4 years of education” for 1960, and “less than high school education” for 2000. These thresholds reflect the availability of data (for the earlier periods of time) as well as changes occurring over time in the importance of education for increasing the prospects of well-being for individuals and families.

  11. In fact, one of the anonymous reviewers suggested using “less than 8 years of schooling” as a measure of low education for year 2000. So, this measure was obtained from the 2000 Census data (“percentage of people 25 and older with educational attainment of less than 9th grade” since “less than 8th grade” is not available). After the new measure of low education was incorporated into the poverty index and the models re-estimated, very similar results were obtained. Moreover, the regression coefficient for the poverty index was 0.41, which is even closer to the regression coefficient of 0.43 obtained for the 1950–1960 dataset.

  12. All variables had one added to all their values before the log transformation was applied (to eliminate zero or near-zero values since logarithm of zero does not exist). As a result of the log transformation, frequency distributions for logged variables were much closer to the shape of the normal distribution compared to the original variables and their relationships with the dependent variable straightened out as well. The only variable whose frequency distribution was not significantly improved by the logarithmic transformation was the dependent variable—homicide rate. Because of the heavy clustering of values around zero, there is no readily available way to transform this variable to bring it closer to the shape of the normal distribution. However, log transformation still seems beneficial in this case because it draws the long right tale of the original homicide rate distribution closer to the more frequent values and thus, gets rid of potential outliers.

  13. As an additional check, the residuals in all OLS regression analyses were examined for possible heteroscedasticity that may have resulted from excess zeros in the dependent variable. Upon examination, the presence of heteroscedasticity was ruled out.

  14. In addition, all regression analyses were re-estimated to test the robustness of the results against possible effects of the partialling fallacy as some control variables (for example, unemployment) were more highly correlated with some of the main predictors than with the outcome variable. The exclusion of such control variables from the model did not change the pattern of results and thus confirmed the stability of estimates under various conditions and specifications of the model. As noted by anonymous reviewers, the changing effects of unemployment on homicide rates, as well as the shifts in regional patterns of homicide, are worth exploring further but this topic is important enough to become a subject of a separate study. Thus it is not discussed in this paper to avoid diverting the narrative from the main subject.

  15. If all control variables are removed from the model, with only the Big Three determinants left in, the model still explains about 65% of variance in the dependent variable for the 1950–1960 dataset, and about 55% for the 1995–2005 dataset. The inclusion of any other single control variable into the equation does not improve the explanatory power of the model by much more than about 2%. If all of the control variables are included, in addition to the Big Three, they together contribute only an extra 2–4% towards the variance explained.

  16. Though with so few observations within each cluster (in this case, each cluster is comprised of two counties, or the same county measured twice 45 years apart) and a huge number of clusters (3,044), the robust standard errors would not be very different from the ones produced by usual OLS estimation.

  17. Another good reason for mean-centering is that it removes the collinearity between the original independent variables and the dummy variable for the period. If there was a big change in the means of some variables from one time period to the other, then even in their logged form these variables would be highly correlated with the dummy variable for the period unless they are centered around the period mean. For example, the divorce rate has almost quadrupled since 1960—from 3 to 11% of adult population (compare Tables 7, 10 in Appendices A and B, respectively). Either in its original form or in its log-transformed metric, the divorce rate variable has a correlation of more than 0.90 with the period dummy variable, so including the period dummy and the logged divorce rate (non-centered) into the same equation would lead to hugely inflated statistics of collinearity (VIF over 10 for the divorce variable). On the other hand, if the logged divorce rate is centered around the period mean, this solves the problem.

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Acknowledgments

This paper would not have been possible without wise and generous advice from Colin Loftin, Alan Lizotte, and David McDowall. My heartfelt thanks also go to the anonymous reviewers and editors of the Journal whose criminological expertise and meticulous attention to detail helped improve the paper tremendously through several rounds of reviews and revisions.

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Correspondence to Maria Tcherni.

Appendices

Appendix A: Detailed Information on Variables Included into Initial Analyses: Historical Dataset (1950–1960)

See Tables (6, 7, 8).

Table 6 Descriptions and data sources for variables in their original form: 1950–1960 dataset (N = 3,044)
Table 7 Descriptive statistics for variables in their original form: 1950–1960 dataset (N = 3,044)
Table 8 Bivariate correlations among the variables in their original form: 1950–1960 dataset (N = 3,044)

Appendix B: Detailed Information on Variables Included into Initial Analyses: Contemporary Dataset (1995–2005)

See Tables (9, 10, 11).

Table 9 Descriptions and data sources for variables in their original form: 1995–2005 dataset (N = 3,044)
Table 10 Descriptive statistics for variables in their original form: 1995–2005 dataset (N = 3,044)
Table 11 Bivariate correlations among the variables in their original form: 1995–2005 dataset (N = 3,044)

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Tcherni, M. Structural Determinants of Homicide: The Big Three. J Quant Criminol 27, 475–496 (2011). https://doi.org/10.1007/s10940-011-9134-x

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