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Undocumented migration in response to climate change

                                      the date of the first  move enabled us to construct an event-history file, indicating  the
                                      household  migration status for each observational  year during the study period of
                                      1986–1999. This period was chosen as a time of relatively stable migration policies fol-
                                      lowing the  enactment of the Immigration Reform and Control Act (IRCA) in 1986
                                      (LoBreglio, 2004) and because Mexico experienced conditions of increased temperature
                                      and drought during the 1990s (Stahle, Cook and Villanueva Diaz et al., 2009) that resem-
                                      ble conditions  expected  under  climate  change  (Collins, Knutti,  Arblaster  et al.,  2013;
                                      Wehner, Easterling, Lawrimore et al., 2011). A reduction in the weather stations available
                                      through GHCN after 1999 prevented the construction of the  climate  measures for later
                                      years.

                                      2.2 Outcome Variable
                                      In the cultural context of Mexico, migration needs to be considered as a household-level
                                      strategy (Cohen, 2004). A household sends a migrant to an international destination as a
                                      self-insurance  mechanism  against local  market failure, expecting  the  migrant to  remit
                                      money to support the household in Mexico (Massey, Arango, Hugo et al., 1993; Taylor,
                                      1999). We therefore focused on the household as the unit of analysis, in line with prior
                                      work  (de Janvry, Sadoulet, Davis  et al., 1997; Hunter, Murray  and Riosmena, 2013;
                                      Kanaiaupuni, 2000).  We constructed an event history file (risk set) in which house-
                                      hold-years are assigned a value of 0 when the household was at risk for international mi-
                                      gration but no move occurred, a value of 1 if an undocumented international move oc-
                                      curred, or a value of 2 if a documented international move occurred. Households were at
                                      risk of migration if they did not send a member to the U.S. before 1986. Households were
                                      included in the data set for the years after 1986 as long as the household heads were at
                                      least 15 years of age, and after the date of their first union formation (household heads can
                                      get divorced, widowed, and remarry in later years). These criteria ensured that households
                                      were truly formed during the  years when they  were exposed to the risk of migration.
                                      Households were removed from the data set following the year of the first move, when the
                                      household head turns 65, when the household is censored at the survey year, or at the end
                                      of the study period in 1999. Households may move in and out of the study community and
                                      are only exposed to the risk of migration if at least one core household member (head or
                                      spouse) was present during a given year.
                                        Although  other pathways  are possible  (Burke, Miguel, Satyanath  et al., 2009;  Naw-
                                      rotzki, Diaconu and Pittman, 2009), we assumed  that climatic effects lead  to  migration
                                      through negative impacts on the agricultural sector (Mueller, Gray and Kosec, 2014). Ru-
                                      ral households in Mexico heavily depend on agricultural production for income and sus-
                                      tenance  (Conde,  Ferrer  and  Orozco,  2006;  Wiggins,  Keilbach,  Preibisch  et al.,  2002;
                                      Winters, Davis and Corral, 2002). As such, we focus our analysis on 68 municipalities that
                                      contain rural MMP communities (population < 10,000) dispersed across the country. Fig-
                                      ure 1 illustrated the location of the rural municipalities as well as the 214 weather stations
                                      from which daily temperature and precipitation data were available.

                                      2.3 Primary Predictors
                                      Previous research has shown that temperature and precipitation above and below certain
                                      thresholds have the strongest impact on agricultural production (Lobell, Hammer, McLean
                                      et al., 2013; Schlenker and Roberts, 2009). As such, we employed two climate change in-
                                      dices that reflect percentile-based threshold effects, namely the warm spell duration index
                                      (WSDI) and precipitation during extremely wet days (R99PTOT). The warm spell dura-
                                      tion index was computed as the annual count of days when at least six consecutive days of

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