
Figure 1.
Evolution of university campuses in Peru and Metropolitan Lima 2015–2022
Metropolitan Lima encompasses the province of Lima within the department of Lima and the entire department of the Constitutional Province of Callao, while the remaining provinces in the department of Lima are referred to as Regional Lima.
Source: SUNEDU (2022); authors' elaboration
Table 1.
Description of variables and descriptive statistics
| Variable | Description | Sample Mean | Sample Std Dev | Estimated Mean | Estimated Std Error |
|---|---|---|---|---|---|
| Dependent variable | |||||
| migrant | Dichotomous variable that takes the value of 1 if the household has migrated to a different department, and 0 if it is not a migrant household | 0.024 | 0.152 | 0.023 | 0.001 |
| Main explanatory variables (Xji from the model shown previously) | |||||
| ccdd_univ_pm | Number of university campuses per million inhabitants in the department where the household is located | 16.076 | 8.037 | 14.159 | 0.075 |
| ccdd_hquniv_pm | Number of high-quality university campuses per million inhabitants in the department where the household is located | 3.454 | 4.934 | 4.328 | 0.055 |
| Household characteristics (c1 from the model shown previously) | |||||
| head_age | Age of the head of the household | 49.463 | 13.679 | 49.894 | 0.148 |
| head_educ | Years of education of the head of the household | 8.858 | 4.835 | 9.089 | 0.050 |
| head_employment | Dichotomous variable that takes the value of 1 if the head of the household is employed, and 0 otherwise | 0.868 | 0.338 | 0.849 | 0.004 |
| dep_ratio | Dependence ratio between the number of unemployed and employed household members | 0.356 | 0.233 | 0.345 | 0.002 |
| ln_income | Yearly log-income (PEN) | 10.351 | 0.788 | 10.452 | 0.008 |
| ln_rent_exp | Yearly rent log-expenditure (PEN). For households that do not pay rent or own their homes, we impute the estimated income that would be earned if the house were rented out | 7.684 | 1.155 | 7.908 | 0.0127 |
| Department characteristics (c2 from the model shown previously) | |||||
| ccdd_rural | Percentage of people residing in rural areas in the destination department | 0.257 | 0.192 | 0.198 | 0.003 |
| ccdd_water | Percentage of people with access to public network water supply in the destination department | 0.848 | 0.105 | 0.869 | 0.001 |
| ccdd_employment | Employment rate of the destination department | 0.947 | 0.027 | 0.936 | 0.000 |
| ccdd_crime | Percentage of population older than 14 that have been the victim of a crime in the destination department | 0.234 | 0.076 | 0.252 | 0.001 |
Table 2.
Model estimation results with the number of universities per million inhabitants, including Lima
| With Lima | ||||||||
|---|---|---|---|---|---|---|---|---|
| All households | Households comprising members with higher education | |||||||
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) |
| Odds Ratios – variables of interest | ||||||||
| ccdd_univ_pm | 1.021*** (0.003) | 1.018*** (.003) | 1.126 (.155) | 1.017*** (.007) | 1.017*** (.007) | .737 (.285) | ||
| ccdd_employment | 6049.902*** (7929.715) | 2766.937*** (3603.884) | 10918.55 ***(28106.05) | 4.343 (15.010) | 1.943 (6.710) | .028 (.193) | ||
| ccdd_univ_pm ## ccdd_employment | .899 (.130) | 1.401 (.568) | ||||||
| Average Marginal Effects | ||||||||
| ccdd_univ_pm | .00036*** (.00005) | .00031*** (.00005) | .00035* (.00015) | .00034* (.00015) | ||||
| ccdd_employment | .15353*** (.02278) | .13967*** (.02270) | .03037 (.07113) | .01373 (.07124) | ||||
| head_age | −.00119*** (.00005) | −.00120*** (.00005) | −.00119*** (.00000) | −.00202*** (.00016) | −.00202*** (.00016) | −.00202*** (.00016) | ||
| head_educ | .00079*** (.00012) | .00080*** (.00012) | .00078*** (.00012) | −.00029 (.00042) | −.00027 (.00042) | −.00029 (.00042) | ||
| head_employment | −.00917*** (.00122) | −.00952*** (.00122) | −.00942*** (.00122) | −.00122 (.00447) | −.00135 (.00448) | −.00123 (.00448) | ||
| dep_ratio | −.01184*** (.00165) | −.01191*** (.00165) | −.01195*** (.00165) | −.01725** (.00552) | −.01713** (.00552) | −.01726** (.00555) | ||
| ln_income | −.0014* (0.0001) | −.00156** (.00061) | −.00164** (.00061) | −.00460* (.00196) | −.00458* (.00198) | −.00463* (.00196) | ||
| ln_rent_expenditure | .00156** (.00052) | .00182** (.00052) | .00187*** (.00052) | .07461*** (.01883) | .00746*** (.00182) | .00749*** (.00182) | ||
| ccdd_rural | .00261 (.00236) | −.00949** (.00278) | −.00809** (.00279) | .00034 (.00757) | −.00175 (.00888) | −.00030 (.00895) | ||
| ccdd_water | .00055 (.00399) | .00111 (.00416) | −.00017 (.00385) | .01053 (.01089) | .01227 (.01157) | .01042 (.01078) | ||
| ccdd_crime | −.02467*** (.00631) | −.01074 (.00617) | −.01518* (.00615) | .01689 (.01907) | .02306 (.01934) | .01782 (.01943) | ||
| Time FE | Yes | Yes | Yes | Yes | Yes | Yes | ||
| Sample | 270,381 | 270,381 | 270,381 | 26,285 | 26,285 | 26,285 | ||
| Wald Test – Statistic | 85.84 | 84.50 | 84.34 | 28.59 | 28.35 | 27.14 | ||
| Wald Test – Pvalue | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | ||
| Sensitivity | 0.5619 | 0.5522 | 0.5684 | 0.6981 | 0.6949 | 0.6981 | ||
| Specificity | 0.8184 | 0.8233 | 0.8131 | 0.8402 | 0.8454 | 0.8402 | ||
| Correctly classified | 0.8130 | 0.8177 | 0.8079 | 0.8368 | 0.8418 | 0.8368 | ||
| AUC | 0.6901 | 0.6877 | 0.6907 | 0.7691 | 0.7701 | 0.7691 | ||
Table 3.
Model estimation results with the number of universities per million inhabitants, excluding Lima
| Without Lima | ||||||||
|---|---|---|---|---|---|---|---|---|
| All households | Households comprising members with higher education | |||||||
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) |
| Odds Ratios – variables of interest | ||||||||
| ccdd_univ_pm | 1.019*** (.003) | 1.019*** (.003) | 1.064 (.160) | 1.019*** (.008) | 1.019*** (0.008) | .865 (.354) | ||
| ccdd_employment | 16500.63*** (28099.76) | 12858.91*** (21430.55) | 26545.38*** (87638.4) | 93.032 (372.544) | 61.370 (240.440) | 3.996 (32.337) | ||
| ccdd_univ_pm * ccdd_employment | .956 (.151) | 1.187 (.510) | ||||||
| Average Marginal Effects | ||||||||
| ccdd_univ_pm | .00034*** (.00005) | .00034*** (.00005) | .00038** (.00014) | .00037* (.00014) | ||||
| ccdd_employment | .17368*** (.03066) | .16910*** (.02999) | .08940 (.07838) | .08110 (.07664) | ||||
| head_age | −.00112*** (.00004) | −.00112*** (.00004) | −.00112*** (.00004) | −.00186*** (.00015) | −.00186*** (.00015) | −.00185*** (.00015) | ||
| head_educ | .00104*** (.00011) | .00106*** (.00011) | .00101*** (.00011) | .00007 (.00035) | .00009 (.00035) | .00007 (.00035) | ||
| head_employment | −.00843*** (.00118) | −.00880*** (.00121) | −.00867*** (.00122) | −.00080 (.00420) | −.00102 (.00420) | −.00112 (.00420) | ||
| dep_ratio | −.00815*** (.00154) | −.00826*** (.00154) | −.00830*** (.00154) | −.00245 (.00537) | −.00237 (.00539) | −.00256 (.00537) | ||
| ln_income | −.00077 (.00059) | −.00073 (.00060) | −.00088 (.00060) | −.00060 (.00208) | −.00053 (.00209) | −.00061 (.00207) | ||
| ln_rent_expenditure | .00110* (.00049) | .00118* (.00049) | .00117* (.00048) | .00380* (.00153) | .00388* (.00153) | .00339* (.00154) | ||
| ccdd_rural | .00122 (.00244) | −.00825** (.00273) | −.00593* (.00274) | .00480 (.00758) | −.00154 (.00814) | .00119 (.00815) | ||
| ccdd_water | −.00006 (.00390) | −.00067 (.00420) | −.00276 (.00384) | .00983 (.01030) | .01143 (.01121) | .00873 (.01021) | ||
| ccdd_crime | −.02105** (.00680) | −.01276 (.00658) | −.01931** (.00667) | .00470 (.01981) | .01374 (.01941) | .00591 (.01978) | ||
| Time FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Sample | 239,639 | 239,639 | 239,639 | 239,639 | 22,699 | 22,699 | 22,699 | 22,699 |
| Wald Test – Statistic | 111.04 | 107.64 | 107.20 | 23.50 | 23.35 | 22.40 | ||
| Wald Test – Pvalue | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | ||
| Sensitivity | 0.6981 | 0.5687 | 0.5870 | 0.7106 | 0.7050 | 0.7124 | ||
| Specificity | 0.8402 | 0.8163 | 0.8045 | 0.8326 | 0.8384 | 0.8323 | ||
| Correctly classified | 0.8368 | 0.8110 | 0.7999 | 0.8297 | 0.8352 | 0.8295 | ||
| AUC | 0.6939 | 0.6925 | 0.6958 | 0.7716 | 0.7717 | 0.7724 | ||
Table 4.
Model estimation results with high-quality universities per million inhabitants
| With Lima | Without Lima | |||||||
|---|---|---|---|---|---|---|---|---|
| All households | Households comprising members with higher education | All households | Households comprising members with higher education | |||||
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) |
| Odds Ratios – variables of interest | ||||||||
| ccdd_hquniv_pm | 1.00883 (.00551) | 1.76362* (.42924) | 1.02472 (.01415) | 3.15456 (1.93880) | 1.00679 (.00560) | 1.51493 (.39645) | 1.02565 (0.01474) | 2.17189 (1.39837) |
| ccdd_employment | 8489.087*** (11343.70000) | 334249.50*** (661539.80) | 10.67778 (37.84495) | 30282.80* (155374.50}) | 21476.780*** (36577.700) | 153989.80*** (320713.90) | 276.35070 (1097.77899) | 13048.570 (66789.360) |
| ccdd_hquniv_pm ## ccdd_employment | .55533* (.14235) | .30605 (.19799) | .65026 (.17918) | 0.45388 (0.30737) | ||||
| Average Marginal Effects | ||||||||
| ccdd_hquniv_pm | .00016 (.00010) | .00050 (.00029) | 0.00012 (0.00010) | 0.00045 (0.00028) | ||||
| ccdd_employment | .15950*** (.02325) | .04895 (.07272) | 0.17839*** (0.02999) | 0.11080 (0.07751) | ||||
| head_age | −.00119*** (.00049) | −.00202*** (.00016) | −0.00112*** (0.00004) | −0.00186*** (0.00015) | ||||
| head_educ | .00080*** (.00012) | −.00026 (.00040) | 0.00106*** (0.00011) | 0.00090 (0.00035) | ||||
| head_employment | −.00951*** (.00122) | −.00129 (.00448) | −0.00879*** (0.00122) | −0.00113 (0.00420) | ||||
| dep_ratio | −.01195*** (.00165) | −.01719** (.00552) | −0.00381*** (0.00154) | −0.00260 (0.00539) | ||||
| ln_income | −.00159** (.00061) | −.00466* (.00198) | −0.00075 (0.00060) | −0.00060 (0.00208) | ||||
| ln_rent_expenditure | .00178** (.00052) | .00731*** (.00184) | 0.00119* (0.00048) | 0.00371* (0.00155) | ||||
| ccdd_rural | −.00876** (.00273) | .00125 (.00877) | −0.00795** (0.00274) | 0.00087 (0.00815) | ||||
| ccdd_water | .00394 (.00457) | .02112 (.01335) | 0.00172 (0.00384) | 0.02108 (0.01346) | ||||
| ccdd_crime | −.01342* (.00652) | .01529 (.02077) | −0.01462** (0.00667) | 0.00612 (0.02069) | ||||
| Time FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Sample | 270.381 | 270.381 | 26.285 | 26.285 | 239.639 | 239.639 | 22.699 | 22.699 |
| Wald Test – Statistic | 79.98 | 27.00 | 101.92 | 22.15 | ||||
| Wald Test – Pvalue | 0.00 | 0.00 | 0.00 | 0.00 | ||||
| Sensitivity | 0.5506 | 0.6949 | 0.5656 | 0.7069 | ||||
| Specificity | 0.8239 | 0.8449 | 0.8161 | 0.8387 | ||||
| Correctly classified | 0.8182 | 0.8414 | 0.8108 | 0.8356 | ||||
| AUC | 0.6872 | 0.7699 | 0.6908 | 0.7728 | ||||
Table A.
Variance Inflation Factor
| Variable | (1) VIF (all population) | (2) VIF (filtered & no Lima) | (3) VIF (all population) | (4) VIF (filtered & no Lima) |
|---|---|---|---|---|
| ccdd_univ_pm | 1.20 | 1.22 | ||
| ccdd_hquniv_pm | 1.48 | 1.44 | ||
| head_age | 1.64 | 1.32 | 1.64 | 1.31 |
| head_educ | 1.76 | 1.46 | 1.76 | 1.46 |
| head_employment | 1.23 | 1.10 | 1.23 | 1.10 |
| dep_ratio | 1.25 | 1.07 | 1.26 | 1.07 |
| ln_income | 2.01 | 1.75 | 2.01 | 1.75 |
| ln_rent_exp | 2.46 | 1.93 | 2.48 | 1.94 |
| ccdd_rural | 2.53 | 1.94 | 2.44 | 1.90 |
| ccdd_water | 1.78 | 1.81 | 2.32 | 2.36 |
| ccdd_employment | 2.48 | 2.00 | 2.48 | 2.00 |
| ccdd_crime | 1.47 | 1.38 | 1.51 | 1.38 |
| year: 2016 | 1.86 | 1.81 | 1.87 | 1.81 |
| year: 2017 | 1.87 | 1.79 | 1.87 | 1.80 |
| year: 2018 | 1.96 | 1.86 | 1.98 | 1.88 |
| year: 2019 | 1.94 | 1.83 | 1.93 | 1.82 |
| year: 2020 | 2.89 | 2.54 | 2.88 | 2.51 |
| year: 2021 | 2.47 | 1.90 | 2.47 | 2.10 |
| year: 2022 | 2.07 | 1.86 | 2.03 | 1.84 |
| Mean VIF | 2.00 | 1.74 | 2.05 | 1.78 |
Table B.1
Odds-ratio results for models with universities per million inhabitants
| With Lima | Without Lima | |||||||
|---|---|---|---|---|---|---|---|---|
| All households | Households comprising members with higher education | All households | Households comprising members with higher education | |||||
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) |
| ccdd_univ_pm | 1.01759*** (0.00279) | 1.12569 (0.15495) | 1.01653** (0.00736) | 0.73716 (0.28488) | 1.01899*** (0.00289) | 1.06403 (0.16012) | 1.01886** (0.00759) | 0.86478 (0.35445) |
| ccdd_employment | 2766.937*** (3603.88400) | 10918.55*** (28106.05) | 1.94268 (6.70959) | 0.02760 (0.19322) | 12858.91*** (21430.55) | 26545.38*** (87638.40) | 61.36969 (240.43990) | 3.99559 (32.33698) |
| ccdd_univ_pm ## ccdd_employment | 0.89949 (0.13001) | 1.40072 (0.56800) | 0.95566 (0.15068) | 1.18749 (0.51037) | ||||
| head_age | 0.93459*** (0.00215) | 0.93458*** (0.00214) | 0.90706*** (0.00507) | 0.90713*** (0.00505) | 0.93932*** (0.00199) | 0.93932*** (0.00192) | 0.91039*** (0.00554) | 0.91048*** (0.00554) |
| head_educ | 1.04553*** (0.00736) | 1.04545*** (0.00736) | 0.98623 (0.02015) | 0.98650 (0.02016) | 1.06049*** (0.00653) | 1.06046*** (0.00653) | 1.00333 (0.01801) | 1.00355 (0.01804) |
| head_employment | 0.58603*** (0.03943) | 0.58600*** (0.03943) | 0.94201 (0.20368) | 0.94114 (0.20351) | 0.61578*** (0.04103) | 0.61580*** (0.04106) | 0.94458 (0.20147) | 0.94394 (0.20139) |
| dep_ratio | 0.50759*** (0.04655) | 0.50789*** (0.04659) | 0.43396*** (0.11279) | 0.43090*** (0.11240) | 0.62843*** (0.05365) | 0.62851*** (0.05366) | 0.87831 (0.23941) | 0.87559 (0.23955) |
| ln_income | 0.91117*** (0.03145) | 0.91097*** (0.03144) | 0.79935** (0.07627) | 0.79948** (0.07632) | 0.95237 (0.03128) | 0.95247 (0.03173) | 0.96708 (0.10191) | 0.96579 (0.10155) |
| ln_rent_expenditure | 1.11169*** (0.03265) | 1.11234*** (0.03277) | 1.43688*** (0.12525) | 1.43359*** (0.12262) | 1.06782** (0.02916) | 1.06800** (0.02916) | 1.21519** (0.09287) | 1.21408** (0.09312) |
| ccdd_rural | 0.63201*** (0.09926) | 0.64357*** (0.10060) | 0.98557 (0.42627) | 0.92070 (0.39555) | 0.71750** (0.11007) | 0.72039** (0.11095) | 1.06213 (0.43885) | 1.04383 (0.43583) |
| ccdd_water | 0.99950 (0.21648) | 1.00484 (0.22203) | 1.65523 (0.85832) | 1.57893 (0.82309) | 0.85703 (0.18483) | 0.86149 (0.18704) | 1.55745 (0.80951) | 1.52543 (0.79660) |
| ccdd_crime | 0.42264** (0.14889) | 0.43665** (0.15623) | 2.36848 (2.20126) | 2.16734 (2.06353) | 0.33938*** (0.12756) | 0.34267*** (0.12972) | 1.34993 (1.35003) | 1.30759 (1.33685) |
| Time FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Sample | 270,381 | 270,381 | 26,285 | 26,285 | 239,639 | 239,639 | 22,699 | 22,699 |
Table B.2
Odds ratio results for models with high quality universities per million inhabitants
| With Lima | Without Lima | |||||||
|---|---|---|---|---|---|---|---|---|
| All households | Households comprising members with higher education | All households | Households comprising members with higher education | |||||
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) |
| ccdd_hquniv_pm | 1.00883 (.00551) | 1.76362* (.42924) | 1.02472 (0.0141494) | 3.15456* (1.93880) | 1.00679 (0.00560) | 1.51493 (0.39645) | 1.02565* (0.01474) | 2.17189 (1.39837) |
| ccdd_employment | 8489.087*** (11343.700) | 334249.5*** (661539.8) | 10.67778 (37.84495) | 30282.8** (155374.5) | 21476.78*** (36577.7) | 153989.8*** (320713.9) | 276.35070 (1097.77900) | 13048.57* (66789.4) |
| ccdd_hquniv_pm ## ccdd_employment | .55533* (.14235) | 0.30605* (0.19799) | 0.65026 (0.17918) | 0.45381 (0.30737) | ||||
| head_age | .93448*** (.00214) | .93447*** (.00214) | 0.90709*** (0.00507) | 0.90693*** (0.00508) | 0.93909*** (0.00192) | 0.93906*** (0.00192) | 0.91011*** (0.00555) | 0.91001*** (0.00556) |
| head_educ | 1.04662*** (.00737) | 1.04634*** (.00737) | 0.98757 (0.02021) | 0.98673 (0.02247) | 1.06130*** (0.00553) | 1.06100*** (0.00553) | 1.00502 (0.01804) | 1.00430 (0.01806) |
| head_employment | .58301*** (.03915) | .58398*** (.03924) | 0.93960 (0.20311) | 0.94607 (0.20493) | 0.61184*** (0.04066) | 0.61273*** (0.04073) | 0.94451 (0.20131) | 0.94982 (0.20163) |
| dep_ratio | .50763*** (.04656) | .50728*** (.04652) | 0.43532*** (0.11345) | 0.43428*** (0.11303) | 0.62848*** (0.05364) | 0.62849*** (0.05361) | 0.87647 (0.23997) | 0.87721 (0.23988) |
| ln_income | .91382** (.03161) | .91359 (.03160) | 0.79810** (0.07630) | 0.79699** (0.07602) | 0.95879 (0.03198) | 0.95835 (0.03196) | 0.96982 (0.10266) | 0.96767 (0.10273) |
| ln_rent_expenditure | 1.10481** (.03243) | 1.06715* (.02955) | 1.42479*** (0.12209) | 1.43050*** (0.12171) | 1.06519** (0.02927) | 1.06722** (0.02955) | 1.20685** (0.09287) | 1.21224** (0.09307) |
| ccdd_rural | .60845** (.09474) | .59282** (.09174) | 1.06231 (0.45069) | 0.98286 (0.46769) | 0.64118*** (0.09856) | 0.64196*** (0.09818) | 1.00441 (0.41512) | 1.00690 (0.41240) |
| ccdd_water | 1.25070 (.32367) | 1.20696 (.31357) | 2.77830* (1.77982) | 2.66212* (1.70838) | 1.10064 (0.28926) | 1.07988 (0.28417) | 2.91389 (1.98477) | 2.82990 (1.92127) |
| ccdd_crime | .46701* (.17386) | .50528 (.18790) | 2.09499 (2.08826) | 2.56419 (2.56214) | 0.44147** (0.17005) | 0.46980* (0.18132) | 1.36419 (1.42652) | 1.56543 (1.65093) |
| Time FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Sample | 270,381 | 270,381 | 26,285 | 26,285 | 239,639 | 239,639 | 22,699 | 22,699 |