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UNIVERSITY  OF 

ILLINOIS  LIBRARY 

AT  UR8 ANA-CHAMPAIGN 

AGRICULTURE 


AGRIGIMTIW    mv^, 

DEC  1  1  1989 


These  staff  papers  are  published  at  the  discretion  of  their  authors  who  are 
solely  responsible  for  the  decision  to  publish  as  well  as  for  the  contents. 


UNIVERSITY  OF  IUINOIS 
AGRICULTURE  LIBRARY 


ILLINOIS 

AGRICULTURAL  ECONOMICS 

STAFF  PAPER 


Department  of  Agricultural  Economics 

University  of  Illinois  at  Urbana-Champaign 

305  Mumford  Hall,  Urbana,  IL  61801 


Series  S,  Rural  Sociology 

THE  UTILITY  OF  DISAGGREGATING  THE  MIGRATION  DECISION 

MAKING  PROCESS:  A  SUBSTANTIVE  EXAMPLE 

by 
James  D.  Williams  and  David  Byron  McMillen 
December,  I978  78-S7 


Digitized  by  the  Internet  Archive 

in  2012  with  funding  from 

University  of  Illinois  Urbana-Champaign 


http://archive.org/details/utilityofdisaggrOOwill 


Introduction 

With  the  turnaround  phenomenon  has  come  an  increasing  Interest  in 
traditionally  less  important  and,  particularly,  noneconomic  motivations 
for  migration.   Certainly  there  is  in  nonmetropolitan  America  a  great 
variety  of  stimuli  for  recent  net  inmigration  patterns  which  reflect  both 
economic  and  noneconomic  "pull"  factors.   But,  as  Wilbur  Zelinsky  rather 
eloquently  notes,  "the  economic-sum-metropolitan-sprawl  explanatory  strategy 
collapses  when  we  confront  those  hundreds  of  remote,  thinly  settled,  and 
emphatically  bucolic  counties  for  whose  recent  demographic  resurgence 
there  is  no  halfway  plausible  economic  rationale" (  1977:176). 

The  purpose  of  this  paper  is  to  demonstrate  the  usefulness  of  incor- 
porating recent  developments  in  migration  decision  making  theory  into  the 
design  of  surveys  eliciting,  from  respondents,  the  salient  evaluative 
dimensions  involved  in  the  decision  making  process.   While  our  suggestions 
are  generally  applicable  to  any  survey  including  "reasons  for  moving" 
questions,  we  argue  that  there  is  a  heightened  need  to  improve  upon  the 
standard  "why  did  you  move?"  approach  when  surveying  migrants  who  are 
likely  to  have  moved  for  nontraditional  reasons.   In  particular,  it  is  sug- 
gested that  investigators  operational ize  the  evaluative  dimensions  for 
migration  behavior  in  terms  of  at  least  two  decisions:   (1)  the  decision 
to  leave  a  place  of  origin,  or  outmigrate,  and  (2)  the  choice  of  destina- 
tion, or  basis  for  inmigration. 

While  we  intend  to  demonstrate  the  utility  of  this  approach  with 
particular  reference  to  nonmetropolitan  "amenity  area"  inmigrants,  we  may 
note  that  our  suggestions  could  prove  important  in  the  future  even  for 
surveys  of  all  migrants.   Indeed,  if  future  flows  increasingly  come  to 


„2- 

reflect  rather  nontraditional  evaluative  bases  Ifor  migration  behavior,  tl 
national  random  sample  surveys  would  benefit  from  the  greater  specificity 
which  we  propose  for  operationalizing  migration  motivations. 

Data 

In  the  course  of  demonstrating  the  utility  of  operationally  disaggre- 
gating the  migration  decision  making  process,  we  will  employ  an  analysis 
of  data  from  a  recent  midwestern  study  of  inmigrants  to  rapidly  growing 
nonmetropolitan  counties.   In  the  next  few  paragraphs,  we  describe  relevant 
aspects  of  the  study  design. 

As  of  November,  1975,  there  were  866  nonmetropolitan  counties  in  the 
12  state  North  Central  Region.   On  the  basis  of  estimates  published  yearly 
by  the  Bureau  of  the  Census,  we  identified  and  selected  all  75  nonmetro- 
politan counties  which  had  greater  than  10  percent  (1970  base  population) 
net  migration  between  1970  and  1975.   This  target  group  contained  no  coun- 
ties in  Iowa  or  Kansas,  while  Missouri  and  Michigan  accounted  for  24  and 
21  counties,  respectively.   Forty-eight  of  the  counties  contained  no  urban 
place  in  1970,  and  25  of  the  counties  were  adjacent  to  an  SMSA  in  1975. 

Within  these  high  net  inmigration  counties  a  survey  population  of  316,  • 
households  with  telephones  was  estimated  from  1975  census  estimates  of  hous< 
holds  and  1970  estimates  of  telephone  coverage  for  the  target  counties. 
For  each  county,  all  telephone  exchange  areas  were  identified  and  the  most 
recent  directories  (1976  or  1977)  were  obtained.   From  these  directories 
a  systematic  sample  of  11,329  households  was  drawn  using  a  sampling  inter- 
val of  1/28  excluding,  as  much  as  possible,  double  and  business  listings. 


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The  sources  of  bias  are  those  normally  associated  with  telephone  sur- 
veys:  households  without  telephones  or  with  unlisted  numbers.   The  aver, 
telephone  coverage  of  households  for  the  target  counties  was  82.5  percent 
in  1970.   Only  six  counties,  which  accounted  for  less  than  4  percent  of 
the  survey  population  had  phone  coverage  of  less  than  70  percent.   Estimates 
by  the  Bureau  of  the  Census  indicate  that  national  phone  coverage  has  in- 
creased since  1970  and  thus  the  1970  phone  coverage  data  may  overestimate 
the  potential  for  bias.   Available  data  indicate  that  unlisted  numbers 
are  only  a  problem  in  large  metropolitan  areas  and  thus  present  virtually 
no  source  of  bias  in  this  study.   A  further  potential  source  of  bias  unique 
to  this  study  is  the  tendency  for  recent  inmigrants  to  be  excluded  from 
telephone  listings.   Only  five  inmigrant  households  were  located  which  had 
moved  in  in  1977,  though  the  distribution  of  migrants  by  year  of  inmigration 
is  fairly  regular  for  1970-1976. 

In  order  to  maximize  the  probability  of  obtaining  an  inmigrant  on  any 

es 
given  call,  the  sample  names,  address/,  and  phone  numbers  were  matched  with 

the  appropriate  1970  telephone  directory.   This  matching,  performed  at  the 
Library  of  Congress,  yielded  two  strata:   (1)  expected  resident  (matched) 
households,  and  (2)  expected  inmigrant  (unmatched)  households.   Problems 
arising  with  common  surnames,  intra-county  migrants,  and  redistricting  of 
telephone  exchange  areas  were  handled  by  treating  all  ambiguous  cases  as 
unmatched  and  placing  them  in  the  expected  migrant  stratum. 

Within  the  survey  population  of  households,  three  respondent  types  we 
identified,  and  quotas  established,  for  subsequent  disproportionately  strati- 
fied sampling:   (1)  continuous  residents  of  the  counties  since  April,  1970: 
(2)  inmigrants  since  April  1970  who  had  moved  from  an  SMSA  county;  and 


-4_ 


(3)  inmigrants  since  April  1970  who  had  moved  ftrom  a  non-SMSA  county. 
Resident  status  and  migrant  type  were  determined  from  a  series  of  initial 
screening  questions.   The  various  selection  rules  and  probabilities  of  selec- 
tion yielded  interviews  with  500  metropolitan  migrants  and  208  interviews 
with  nonmetropolitan  migrants.   The  resident  sample  is  not  used  in  this 
analysis. 

Heads  of  households  were  the  primary  respondents,  though  spouses  were 
interviewed  after  several  unsuccessful  attempts  at  contacting  the  head.  We 
are  thus  studying  household  rather  than  individual  migration.   Only  persons 
reporting  the  current  location  as  their  usual  place  of  residence  were  inter- 
viewed and  thus  seasonal  residents  were  excluded.   The  very  few  households 
which  came  through  the  expected  resident  stratum  and  which  turned  out  to  be 
inmigrants  (out  and  back  in  during  the  interval  1970-197  7)  are  excluded 
from  this  analysis. 

The  refusal  rate  on  the  screening  section  was  3.7  percent,  and  on  the 
main  interview  it  was  9  percent  for  the  metro  migrants  and  3  percent  for  the 
nonmetro  among  contacted  households.   Interviewing  was  conducted  in  the 
spring  and  early  summer  of  1977.   Interviews  lasted  from  30  to  50  minutes 
and  interviewers  reported  that  respondents  generally  were  very  cooperative. 
Indeed,  the  low  refusal  rate  and  interviewer  perceptions  suggest  considerable 
ease  in  interviewing  in  these  predominantly  rural  areas. 

In  the  subsequent  analysis,  the  two  migrant  substrata  (metropolitan 
and  nonmetropolitan  origin)  have  been  combined.   As  the  numbers  of  completed 
interviews  are  the  result  of  complex  sampling  and  not  simple  random  sampling, 
the  two  migrant  substrata  have  been  weighted  to  reflect  estimated  proportir 


-.5- 

i 
representation  in  the  population.   Weighting  of!  the  two  migrant  groups  has 

been  performed  in  such  a  way  as  to  maintain  the  the  number  of  total  inter- 
views.  The  metro-nonmetio  odds  are  altered  from  the  interviewed  ratio  of 
about  5:2  to  an  estimated  4:3.   This  rather  minor  adjustment  does  not,  in 
our  opinion,  require  extensive  alterations  in  the  formulae  for  significance 
testing  in  the  subsequent  analysis.   Our  statistical  analysis  will  treat 

the  data  as  if  it  were  the  result  of  simple  random  sampling.  Use  of  weighted 

data  causes  slight  discrepancies  in  Table  frequencies. 

Rationale 

In  migration  research,  motivation  has  been  investigated  indirectly 
by  inferring  motives  from  individual  and  household  characteristics  and  from 
contextual  factors,  and  directly  investigated  by  enumerating  evaluative 
dimensions,  or  reasons  given  by  respondents  who  have  migrated.   Both  approach 
es  involve  problems.   Of  particular  concern  to  this  research  we  should  note 
that  stated  reasons  may  involve  rationalization,  or  people  may  respond  in 
socially  acceptable  ways,  not  know  why  they  moved,  or  give  such  vague 
answers  as  to  be  useless  (Lansing  and  Mueller,  1967).   In  spite  of  these 
problems,  though,  Rossi  concluded  that  reason  analysis  is  "particularly 
applicable  for  human  actions  which  involve  a  conscious  choice  among  alter- 
natives ..."  (1955-124). 

Implicit  in  any  reason  analysis  is  the  assumption  that  the  relative 
importance  of  each  of  the  members  of  a  set.  of  reasons  obtained  from  a  sam- 
ple of  respondents  reflects  the  relative  importance  of  that  factor  as  a 
cause  of  migration.   The  classification  of  reasons  into  some  coding  scheme 
represents  the  researcher's  efforts  to  obtain  a  simplified  schema  which 
will  maximize  within-category  homogeneity  and  across-category  heterogeneity. 
In  a  final  tabulation,  one  might  see  "economic"  reasons  contrasted  with 


-6- 

! 

"social"  reasons  and  depending  on  the  proportions  in  each  category,  the 
data  may  be  used  to  suggest  which  set  of  reasons  captures  the  greatest: 
share  of  the  "explanation  of  migration." 

To  date  there  has  been  little  systematic  concern  with  the  wording  of 
questions  designed  to  elicit  the  evaluative  dimensions  for  migration 
decision  making.   However,  it  is  clear  that  some  scholars,  and  geographers 
in  particular,  view  migration  decision  making  as  involving  more  than  one 
decision.   If  more  than  one  decision  is  involved,  then  there  is  more  than 
one  behavior  to  be  explained  and  the  causes  of  each  need  not  be  the  same. 
Thus,  the  reason  structures  obtained  from  a  sample  of  respondents  for 
different  migration-related  decisions  may  themselves  differ,  and  reflect 
the  differing  bases  of  causation  for  the  different  behaviors  involved. 

For  intraurban  mobility  in  particular.  Brown  and  Moore  (1970)  have 
suggested  that  migration  involves,  for  a  significant  number  of  migrants, 
at  least  two"  decisions:  (1)  The  decision  to  leave  an  area  of  origin,  and 
(2)  the  decision  of  where  to  move  (see  also  Roseman,  1977).   The  causal 
bases  of  the~  first  help  explain  outmigration  while  the  causal  bases  of  the 
second  decision  help  explain  immigration  when  evaluated  at  point  of  origin 
and  point  of  destination,  respectively.  ► 

Wolpert  (1965),  in  conceptualizing  migration  decision  making,  implies 
that  these  two  decisions  are  not  necessarily  separate  but  rather  suggests 
that  the  individual  tends  to  simultaneously  evaluate  the  present  residence 
in  the  context  of  alternative  residences.   His  concept  of  place  utility 
encompasses  both  an  evaluation  of  the  current  residence  and  an  evaluation 
of  alternative  residences.   Place  utility  tends  to  be  operationalized  through 
satisfaction  measures.   Similar  approaches  are  evidenced  in  the  work  of  Rossi 


-7- 


(1955)  and  Speare,et  al.  (1974)  as  well  as  Brown  and  Moore  (1970). 

Migration  is  but  one  of  numerous  possible  responses  to  the  disequili- 
brium which  results  from  dissatisfaction  at  a  place  of  residence.  The 
individual  might  alternatively  restructure  the  environment  or  alter  desires 
and  expectations.   The  stresses  which  cause  a  consideration  of  migration 
among  alternative  behaviors,  are,  in  turn,  a  function  of  variables  familiar 
to  migration  researchers,  such  as  changes  associated  with  life  or  career  cycle 
development. 

The  extent  to  which  migration  is  viewed  as  a  viable  option  in  response 
to  stress  is  importantly  related  to  the  individual's  capability  to  evaluate 
alternative  residences,  and  thus  to  the  formation  of  place  utilities.  With- 
out an  alternative  location  as  a  reference  point  of  comparison,  we  may 
surmise  that  the  individual  is  not  likely  to  leave  the  current  location. 
Thus,  the  factors  which  impinge  upon  the  destination  selection  and  evaluation 
process  may  also  affect  the  initial  decision  to  leave  an  area  of  origin. 

Development  of  the  concept  of  place  utility,  however,  has  been  greatest 
with  reference  to  the  process  of  destination  selection.   Wolpert,  assuming 
"intendedly  rational"  behavior  wherein  individuals  engage  in  an  evaluation 
process  which  can  be  flawed,  writes  that  "...the  utility  with  respect  to 
. . .  alternative  sites  consists  largely  of  anticipated  utility  and  optimism 
which  lacks  reinforcement  of  past  rewards.   This  is  precisely  why  the  stream 
of  information  is  so  important  in  long  distance  migration — information  about 
prospects  must  somehow  compensate  for  the  absence  of  personal  experience" 
(1965:162). 


-8- 


The  concept  of  search  space  describes  a  sujbset  of  places  within  an 

i 

awareness  space  (Brown  and  Longbrake,  1970).   Awareness  space  contains 
the  places  about  which  a  potential  migrant  has  some  information,  no  matter 
how  limited.   The  search  space  contains  only  those  seriously  evaluated, 
or  those  for  which  place  utilities  are  formed.   Thus  we  see  that  informa- 
tion sources  may  determine  the  number  of  places  in  the  ultimate  search 
space  by  determining  the  places  in  the  initial  awareness  space. 

DaVanzo  and  Morrison  have  recently  introduced  the  phrase  "location 
specific  capital"  as  a  "generic  term  denoting  any  or  all  of  the  diverse 
factors  that  'tie'  a  person  to  a  particular  place" (1978:8) .   They  find, 
in  their  analysis,  empirical  support  for  the  hypothesis  that  "when  a  per- 
son who  has  migrated  moves  again,  he  or  she  should  favor  some  former 
place  of  residence  as  the  destination  because  the  person  has  location 
specific  capital  there"  (1978:8).   Thus,  location  specific  capital  is 
suggested  to  determine  the  direction  of  migration.   When  viewed  also  as 
a  general  influence  on  the  extensiveness  of  the  awareness  space,  which  in 
turn  affects  the  decision  to  leave,  then  location  specific  capital  may  also 
be  a  determinant  of  the  degree  of  migration. 

In  their  work,  DaVanzo  and  Morrison  were  attempting  to  explain  return 
migration.   Two  other  central  hypotheses  of  their  research  are:   (1)  That 
location  specific  capital  depreciates  over  time,  and;  (2)  that  if  a  person 
miscalculates  net  place  utilities,  moves,  and  finds  the  move  to  be  an  unwise 
investment,  the  migrant  then  has  superior  information  about  the  place  recent- 
ly left  and  will  tend  to  return  rather  quickly.   They  are,  thus,  discussing 
hypotheses  about  factors  which  influence  awareness  and  search  space  as  well 
as  place  utility  formation. 


-9- 


The  last  several  paragraphs  provide  a  brief  and  much  simplified  over- 
view of  concepts  and  approaches  to  be  used  in  subsequent  analysis.   At  this 
point  let  us  turn  to  direct  evidence  suggesting  the  utility  of  enumerating 
the  evaluative  dimensions,  or  reasons  for  both  out-  and  inmigration 
behaviors. 
Demonstration 

In  the  current  study,  respondents  were  asked  questions  designed  to 
elicit  reasons  for  leaving  the  place  of  origin  and  criteria  for  destination 
selection.   For  the  former,  respondents  were  simply  asked  why  they  decided 
to  leave  (origin  city  name  inserted) .   We  elicited  up  to  three  reasons  and 
these  were  recorded  verbatim.   About  26  percent  of  respondents  gave  more 
than  one  reason  and  for  these  a  subsequent  question  asked  which  reason  the 
respondent  felt  was  the  most  important  one.   The  following  data  refer  to 
one  "main"  reason  for  leaving.   Reasons  related  to  destination  selection 
are  based  upon  a  question  asking  the  respondent  why  s/he  picked  "this" 
place  instead  of  some  other.   Again,  we  report  data  for  only  one  cited 
reason. 

The  open-ended  responses  to  the  reason  questions  were  later  coded  into 
an  initial  62  category  scheme  allowing  for  considerable  specificity  of 
responses.   In  order  to  assure  reliable  results,  the  coding  of  all  reasons 
ouesM~«.a  was  performed  independently  three  times.   Where  inter-coder  dis- 
crepancies occurred,  differences  were  arbitrated  and  necessary  changes  made, 

The  most  obvious  approach  to  demonstrating  the  importance  of  each  ques- 
tion is  to  simply  examine  the  marginal  distributions  in  order  to  observe 
differences  in  evaluative  dimensions  reported  by  respondents.   The  distri- 
butions of  responses  to  both  questions  are  presented  in  Table  1. 


-10- 


Optimally,  one  should  apply  exactly  the  sie  classification  scheme 
to  both  sets  of  reasons  in  order  to  make  appropriate  comparisons.   However, 
precisely  because  we  are  dealing  with  different  behaviors,  we  must  note 
that  it  was  not  completely  possible  to  apply  identical  classification 
schemes.   For  about  15  percent  of  the  sample,  retirement  was  given  as 
the  reason  for  leaving  the  place  of  origin.   In  contrast,  retirement  is 
not  an  appropriate  response  to  a  question  asking  why  a  respondent  chose 
the  particular  destination.   In  three  cases,  however,  retirement  was  men- 
tioned as  the  reason  for  choosing  the  destination.   These  cases  have  been 
receded  to  the  "other-other"  response  category  eliminating  retirement  as 
a  possible  basis  for  destination  selection. 

It  is  quite  apparent  from  the  distributions  that  the  evaluative  dimen- 
sions for  the  two  decisions  differ.  In  particular,  we  may  note  that  nearly 
half  (47.6  percent)  of  all  respondents  chose  their  destination  on  the  basis 
of  location  specific  capital  in  a  variety  of  forms  while  only  about  18  per- 
cent decided  to  leave  for  tie-related  reasons.  Clearly  the  causal  bases 
of  in-  and  outraigration  would  appear  to  differ. 

From  a  somewhat  more  formal  perspective,  the  marginals  in  Table  1  ex- 
press the  net  results  of  some  relationship  between  the  evaluative  dimensions 
for  the  two  decisions.   The  greater  the  relationship  between  evaluative 
criteria  for  the  two  decisions,  the  less  is  the  need  for  separate  operatlon- 
al%\P^      1V°  imp°rtantly  Afferent  types  of  migrants  may  result  in  a 
high^relationship  between  reasons  for  leaving  and  for  destination  selection. 
The  first  and  most  obvious  of  these  is  the  migrant  who  reports  very  similar 
bases  for  leaving  and  for  destination  selection.   In  our  categorization 
scheme,  this  would  be,  for  instance,  a  person  who  reports  an  employment-relate 
reason  for  both  behaviors.   In  a  statistical  sense,  we  need  not  have  asked 
both  questions  for  persons  responding  to  both  questions  in  similar  ways. 


-11- 


1 

The  second  source  of  a  relationship  between  criteria  for  the  two 
behaviors  is  attributable  to  the  nature  of  the  migration  decision  making 
process.   For  some  migrants,  the  basis  for  initially  deciding  to  leave  an 
origin  minimizes  the  process  of  search  space  formulation  so  that  no  des- 
tination selection  process  can  be  separated  from  the  decision  to  leave  the 
area  of  origin.   The  prime  example  is  the  person  who  reports  having  left 
in  order  to  move  "back  home."  We  would  expect  (and  find)  that  this  mi- 
grant's basis  for  selecting  a  destination  is  that  the  place  is  "home." 
Thus,  for  some  migrants,  the  response  to  the  question  on  leaving  simul- 
taneously, and  rightfully,  determines  the  response  to  the  question  on 
destination  selection  resulting  in  a  boost  in  the  relationship  between  the 
two  evaluative  dimension  sets  of  responses.   For  these  migrants,  all  impor- 
tant information  related  to  the  entire  decision-making  process  being  inves- 
tigated here  is  contained  in  the  response  to  why  the  person  left  their 
origin  and  we  need  not  have  asked  about  destination  selection. 

We  may  further  illustrate  this  point  by  examining  a  bivariate  table 
relating  gross  categories  of  reason  for  leaving  to  reason  for  picking  the 
destination  as  presented  in  Table  2  (see  Technical  Appendix  for  discussion 
of  significance  testing.)   Results  of  siunificanee  testine  for  this  and 
subsequent  tables  are  summarized  in  Table  4.   For  Table  2f    for  instance,  wo 
fit  a  classic  independence  model  based  on  the  expected  frequencies  general 
using  the  observed  marginals.   This  is  symbolized  as  (1)  (2)  in  Table  4. 
Since  the  chi-square  is  large  and  significant,  we  know  that  there  is  a  strong 
relationship  between  reasons  for  leaving  and  basis  for  selecting  a  destina- 
tion in  Table  2. 


-12- 


Froui  Table  2,  we  may  observe  that  much  of  the  relationship  between  the 
two  sets  of  reasons  derives  from  the  influence  of  the  category  combinations 
of  "employment-employment"  and  "ties-ties.1'   Embedded  in  these  cells,  however, 
are  both  sources  of  relationship  just  Identified.   The  reasons  given  by 
these  respondents  for  leaving  their  origins  provide  a  clue  as  to  whether 
they  appear  in  identical  reason  categories  because  of  identical  evaluative 
dimensions  in  a  two-step  decision-making  process,  or  whether  they  simultan- 
eously chose  a  destination  given  a  certain  reason  for  leaving. 

Consider,  first,  those  who  report  employment-related  reasons  as  both 
the  basis  for  leaving  and  choosing  a  destination.   These  migrants  are  moving 
for  relatively  traditional  reasons.   Based  upon  a  reason  for  moving  ques- 
tion, transfers  and  searches  for  new  or  better  employment  accounted  for 
nearly  half  of  all  interstate  moves  among  respondents  in  the  U.S.  Annual 
Housing  Surveys,  1974-1976  (Long  and  Hansen,  1978).   Within  the  employment- 
employment  cell,  however,  are  both  sources  of  the  equivalence  of  responses. 
The  person  who  is  transferred,  for  instance,  is  quite  different  in  terms 
of  decision-making  process  than  the  person  who  reports  leaving  to  look 
for  better  employment.   Specifically,  the  transferee,  and  for  that  matter 
the  person  who  left  because  of  finding  a  new  or  better  job,  has  not  engaged 
in  any  destination  selection  process  separable  from  the  decision  to  leave 
as  operational ized  here.   Regardless  of  what  process  of  search  space  formu- 
lation may  precede  temporally  the  decision  to  leave,  for  our  purposes  we 
would  expect  a  tendency  for  equivalence  in  responses  among  transferees  and 
those  who  left  because  they  found  another  job.   In  contrast,  the  person 
who  left  in  order  toJLiniLa  better  job  engages  in  a  conceptually,  given  our 


- 1  3- 


classification  scheme*  distinct  process  of  destination  selection. 

Those  migrants  suggesting  that  they  Initially  decider!  to  leave  their. 
origins  because  of  location  specific  capital  at  an  already  chosen  destina- 
tion are  conceptually  airailar  Co  transferees  and  those  who  report,  having 
found  a  better  job  as  the  reason  for  leaving,   I'frK  destination  choice  is 
inseparable  linked  to  the  reason  for  leaving  and  it  makes  Little  sense  to 
a.sk  separately  about  destination  selection,   /is  a:  result,  we  find  about  IH 
percent  of  those  leaving  for  tie  reasons  also  choosing  their  destination 
for  tie  reasons,  as  seen  in  Table  2. 

For  the  rest  of  this  paper  we  will  want  to  focus  on  the  process  of 
destination  selection,  and  so  should  re.str.ixt  our  analysis  to  only   chose 
for  whom  a  separation  of  the  decisions  to  leave  and  choose  a  destination 
seems  reasonable.   For  convenience..,  we  mist.  Ignore,  some  variability  and 
specify  ideal  types.   We  have  deleted  from  furthest'  analysis  all  persons 
who  reported  reasons  for  leaving  for  which  destination  selection  has  no 
separate  meaning.   The  categories  involved  are  indicated  by  asterisks  in. 
Table  1  and  include  persons  leaving  because  of  a  transfer,  or  because  new 
employment  was  located »  or  because  of  a  desire  to  maximlsse  some  farm  of: 
location  specific  capital.   In.  ail,  we  have  deleted  247  households  or  about 
35  percent  of  the  sample,   For  these  people  especially  there  is  no  empirical 
reason,  to  ask  a  separate  question  eliciting  the  evaluative  basis  for  des- 
tine t  i  o  n  s  e  1  e  c  t  i  o  n .. 

The  removal  of  these  "simultaneous"  decision-makers  reduces  appreciably 
the  level  of  the  relationship  between  reasons  for  the.  two  behaviors,  though 
the  disjunctures  in  categorizations  tend  to  make  statistical  interpretation 
problematic.  The  data  are  presented  in  Table  3  and  the  relationship  regains 
significant  as  shown  in  Table  4.  We  now  have,  left  in  the  table  tvo  types  of 


i& 


migrants  of  further   relevance  .to  this  paper;  we  have   those  who  have   the 

sane  bases  for  both  decisions  said  w»a  have   those  with  different  bases.. 

For   143  cases  in  table  3,   or  about  32  percent   of   these  norj.sij»ulta£a.eou"S 

decision  makers  we  technically  need  not   have  asked  both  questions   (ceils 

arid   othe  r-ot.h«  r ) .. 
eraployraent~esn^ioyment  and  environment  "-e.ttV<lro.iiment/       Fox   the  rest,    Che 

evaluative  dimensions,    our  key  to  causal    liases  of   the  two  behaviors,    are 

different  with  respect  to  out-arid  ixuaigratio-ia.     Thus,,   for   about  45  percent 

of   all  interviewed  migrants,   there   is   clear   empirical  justification   for 

asking  both  questions. 

Substantively.,    the  patterns  in  Table  3  are   quite  reveal  log.      Those 
initially  motivated   to  leave  for   lob  reasons   tend   to  choose  a  destination  on 
the  basis  of   job- related   criteria    (57   percent)..      Thus.,    there   lis   a   tendency 
for  more  traditionally  motivated  Kd.giran.ts  to  make  both  decisions  osa   the 
basis   of   similar   evaluative   criteria  and  thus  less  statistical  need  for 
enumerating  the   reasons  for  both  behaviors.      But,    there  remains,   among   those 
whose   leaving  was  employment  motivated,    an  additional  43  percent   who  selected 
their  destination  on   the  basis  of  a  different  criterion,   especially   ties 
or  location  specific   capital    (32  percent).      From  date;   not  displayed,,  we  find 
that    their    ties   are  generally   in   the  fern:  of   a  job  or  business   ia   the  area. 

In  contrast   to  employment  motivated  migrants*   retirees,    especially 
important  to  recent  patterns  ol   nonmetropolitan  faJcLgration.,   tend    to  have 
selected  their  destinations  on   the  basis   of   location   specific   capital   in 
a  variety  of  forms,   including  family  and  friends  and  prior   residence  as  well 
as  property  and  vaction  experience.      Those  motivated  to  leave  because  of 
environmental  reasons  most  often   suggest  destination  selection  on  the  basis 
of   environmental   reasons   (4. 3  percent)    but  also  draw  heavily  upon   location 


- 1  rv 


specific  capital   (41  percent)  . 

If   i«  quite  clear   i. hat.  Kith   the  possible  exception  ot"   those  k&o  left 
for  job  related  reasons,    destination   selection  is   import antly   a  function  o:l 
location  specific   capital,   awoag  migrants  by  wkoffi  we  can  reasonably   suggest 
at  least   two  decisions  were  joade*     Ettrcheruio-fre  for  the   two  suoal   important 
types  of  iumigraatB  in  terms  of  reasons   for  Leaving*   those  who  responded  with 
environmental  reasons  ox  who  cited  Eetirtaneatjwe  would  hav/e  underestimated 
the  role   of   location  specific,  capital   in   the   decision  staking,  process  had  \:c 
not  also  asked   the  basis   for  destination  select: ion. 

As  demonstrated   In  the  detailed  categorization  scheme  of  ^Cahle  1» 
location  specific   capital  has  ht;en  utilized  by  these  vaigras.ts  in  a  variety 
of  forms.      Soashe.  have  chosen   their  destination   in  order  to  be  closer  to   family 
or  friends,,    others   ytnply  stated   that    they  h«d    experience  with  the  area  thro^g'i 
previous  residence,    and  many  seem  fcu  have  had  ox   received  property   in  the 
area.      As   suggested  by   these   reepom.es  5    s  migrant  need  wot  'he we.   ever  n?ig r-n ted 
before.,    or  lived  in   the  t:rea  tefore,    in.  order   to  have  acquired  location 
specific  capital   in    the  destination  area.     For   instance,    friends  or  fassiiy  \?,&y 
have  migrated   to   the  ares  at    sox&e  earlier   tisae  and  served   a*   the  lio.k  to  a 
potential  migrant,      vacation  contact   also  need  not  entail   prior  ssigraot 
status  or  prior   long-term  residence,     The  importance  oi  vacation  contact, 
especially  among  re  tiroes,    in  shaping  the  process  of  search  ©pace  fotiBfitian 
has  been  documented  by  Sly   C.197'.)    in  a   study   of   Florida  iauRigraa.ts.     He 
found   that  nearly   three-anar ters  of    the  respondents  had  visited  Florida  prior 
to  Moving  there,    and  wast  vt   the  visits  were  in  the  fori*  of  vacations. 

These   cOKimeii-ts   simply  reinforce   oar   contention   that   'Dav'anxo      and 
Morrison's  concept  of   location  specific   capital    is  relevant    la   the  decision 


-16- 


making  process  of  a  great  variety  of  types  of  migrants  J  those  moving  for  r 
the  first  time,  those  who  have  moved  before  and  do  not  return  to  a  prior 
residence  in  a  subsequent  move,  as  well  as  return  migrants. 

Tie-related  responses  to  the  reason  questions  suggest  that  the  respondent 
has  drawn  upon  some  form  of  location  specific  capital  in  the  migration  decision 
making  process.   While  we  are  concentrating  upon  destination  selection,  we 
may  note  that  those  who  gave  tie  responses  as  their  reason  for  leaving,  have, 
in  a  sense,  "cashed  in"  on  location  specific  capital  closer  to  the  presumed 
outset  of  the  decision  making  process.  The  126  households  suggesting  ties 
as  a  reason  for  leaving  (Table  1)  plus  the  213  households  suggesting  ties  only 
as  the  basis  for  destination  selection  (Table  3)  account  for  about  48  percent 
of  all  inmigrant  households.   Though  the  subsequent  analysis  could  be  performed 
with  respect  to  reasons  for  leaving,  let  us  concentrate  on  the  role  of  location 
specific  capital  in  the  process  of  destination  selection. 

Let  us  first  define  the  utilization  of  location  specific  capital  as  the 
proportion  suggesting  ties  as  the  basis  for  destination  selection.  We  would 
anticipate  that  the  utilization  of  location  specific  capital  presumes  the 
existence  of  location  specific  capital  in  some  form.   But,  location  specific 
capital  need  not  be  cashed  in  in  the  sense  of  being  the  reason  for  selecting 
the  destination  area.   There  may  be  numerous  migrants  with  friends  and  relatives 
in  the  area,  or  with  prior  residence,  who  selected  their  destination  on  the 
basis  of  employment  or  other  non- tie- re la ted  reasons.   If  we  can  objectively 
measure  the  existence  of  location  specific  capital,  then  we  can  investigate 
the  relationship  between  having  and  drawing  upon  location  specific  capital. 

In  line  with  DaVanzo.  and  Morrison's  work,  we  have  chosen  to  investigate 


-17- 


only  one  form  of  location  specific  capital  -  prior  residence.   Among  several 
questionnaire  items  related  to  contacts  prior  to  moving,  respondents  were 
asked  if  they  had  ever  lived  in  "this"  area  prior  to  inmigrating.  We  may 
thus  form  a  "dummy"  variable  where  those  who  are  return  migrating  are  defined 
to  have  one  unit  of  location  specific  capital  in  the  form  of  prior  residence. 
They  account  for  about  30  percent  of  nonsimultaneous  decision  households.   We 
may  now  investigate  the  relationship  between  two  "dummy"  variables,  having 
location  specific  capital  in  the  form  of  prior  residence,  and  using  it  by 
responding  a  tie  related  reason  for  choosing  the  destination. 

The  relationship  is  best  defined  by  a  slope  li»e,  which  in  this  special 
case  is  simply  the  difference  in  the  percentages  reporting  tie  reasons 
between  those  with  and  without  prior  residential  experience  in  the  area.  This 
relationship  is  graphed  in  Figure  1.   The  significance  test  as  summarized  in 
Table  4  shows  that  there  is  a  significant  relationship  between  the  two  variabl* 

The  slope  of  the  line  in  Figure  1  may  be  interpreted  in  a  variety  of 
meaningful  ways.   Among  other  interpretations,  it  is  a  rate  of  return  on  one 
unit  of  location  specific  in  the  form  of  prior  residence  and  where  returns 
involve  any  type  of  tie-related  reason  for  picking  the  destination.  We  could 
also  think  of  it  as  a  "cash- in"  rate  for  prior  residence,  or,  alternatively, 
as  the  salience  of  prior  residence  to  destination  selection  on  the  basis  of 
location  specific  capital. 

We  may  note  from  Figure  1,  that  the  rate  of  return  is  positive  and 
substantial  as  expected.   We  may  further  note  that  even  among  those  without 
prior  residence,  the  level  of  utilization  of  location  specific  capital  is 
substantial  (about  40  percent). 


-18- 


Since  we  are  focusing  on  destination  selection,  we  are  currently  using 
only  one  of  the  two  reason  questions.   Figure  1  requires  only  a  question  about 
why  the  respondent  chose  the  destination,  and  a  question  asking  about  prior 
residence.   Technically,  we  have  yet  to  demonstrate  the  utility  of  both 
reason  questions  for  this  particular  substantive  problem  of  returns  to 
location  specific  capital.   Statistically,  we  need  to  demonstrate  an  interaction 
effect  between  reason  for  leaving,  choosing  a  destination  on  the  basis  of  ties, 
and  the  existence  of  location  specific  capital  in  the  form  of  prior  residence. 

Substantively,  the  interaction  effect  provides  knowledge  about  differing 

r 

rates  of  return  to  prior  residence  capital  for  migrants  initially  motivated  to 
leave  their  origins  for  different  reasons.   For  instance,  we  may  determine 
whether  prior  residence  is  more  salient  for  those  who  are  retiring,  or  for 
those  who  left  because  of  employment  reasons.  The  person  motivated  to  leave 
for  job  related  reasons,  however,  we  have  suggested  tends  to  chose  a  destinatior 
on  the  basis  of  job  related  criteria.   This  seems  reasonable.   The  job  related 
outmigrant  then  should  tend  to  cash  in  on  location  specific  capital  in  destina- 
tion areas  to  a  lesser  degree.   The  various  slope  lines  are  presented  in  Figure 

We  may  note,  first,  that  the  line  for  those  who  left  for  employment  reason: 
is  the  lowest  suggesting  that  overall,  they  tend  the  least  to  select  destina- 
tions on  the  basis  of  location  specific  capital.   This  simply  restates  the 
findings  in  Table  3.  However,  it  would  appear  that  the  highest  rates  of 
return  on  location  specific  capital  in  the  form  of  prior  residence  are  among 
retirees  and  those  initially  motivated  to  leave  because  of  environmental  reasom 
Those  leaving  for  employment  and  other  reasons  have  very  low  rates  of  cashing 
in  on  prior  residence. 

The  significane  test  presented  in  Table  4,  however,  is  a  bit  problematic. 


-19- 


Th  e  expected  frequencies  to  be  tested  against  observed  frequencies  have 

been  generated  on  the  basis  of  all  possible  bivariate  relationships  in 

this  model 
the  cross-classification  and/is  symbolized  by  (12)  (13)  (23).   The  proba- 
bility level  of  .069  suggests  that  we  can,  though  only  barely,  fit  the 
observed  frequencies  without  taking  into  account  the  interaction  of  all  three 
variables.  That  is,  the  expected  frequencies  on  the  basis  of  all  two-way 
relationships  are  not  different  from  the  three-way  observed  frequencies  at 
the  five-percent  level,  but  are  different  at  the  10  percent  level.  The  slopes 
in  Figure  2  then,  are  not  significantly  different  from  each  other  at  the  lower 
probability  level,  but  are  at  the  10  percent  level. 

In  part,  the  lack  of  differences  between  the  rates  of  return  may  be  a 
function  of  imprecision  in  our  linking  all  tie  reasons  for  picking  the 
destination  to  only  one  form  of  location  specific  capital  -  prior  residence. 
Prior  residence  almost  certainly  entails  the  acquisition  of  location  specific 
capital  in  diverse  forms.   The  return  migrant  may  respond  to  family  or  friends 
left  behind  in  an  earlier  move,  may  have  housing  to  return  to,  a  business  left 
behind,  or  simply  want  to  "go  back  home."  As  a  first  step  in  furthering  our 
understanding  of  the  role  of  location  specific  capital  in  the  migration  behavior 
of  these  migrants,  let  us  investigate  the  nature  of  some  of  these  diverse  forms 
of  location  specific  capital  reasons  for  picking  the  desination. 

We  have  broken  down  the  gross  category  of  tie  reasons  for  destination 
selection  into  four  subcomponent  sets  of  responses.  We  have,  from  Table  1, 
combined  those  responding  a  desire  to  be  closer  to  a  business  or  job  and  those 
suggesting  property  ties  into  a  category  we  now  call  "economic  ties."  We 
have  also  combined  vacation  contact  responses  with  other  ties  into  a  category, 


-20- 


"vacation  and  other"  ties.   Those  expressing  a  desire  to  be  closer  to  family 
or  friends,  and  those  wanting  to  "go  back  home"  are  maintained  as  separate 
response  categories.  We  may  now  analyze  the  salience  of  prior  residence  to 
destination  selection  by  examining  the  different  rates  of  return  for  the  four 
types  of  tie  responses.   Figure  3  presents  these  results. 

Only  two  bases  for  destination  selection  reveal  positive  rates  of  return 
to  location  specific  capital  in  the  form  of  prior  residence:  a  desire  to  go 
back  home,  and  the  family  and  friends  factor.   As  would  be  expected,  returns 
to  prior  residence  are  most  manifest  in  the  form  of  responses  suggesting  a 
desire  to  return  home.   It  would  appear  that  among  these  migrants,  the  more 
global  expression  of  wanting  to  go  back  home  is  more  closely  linked  to  return 
migration  than  is  the  desire  to  be  with  family  and  friends  left  behind  in  a 
prior  move.   Of  course,  part  of  the  desire  to  return  home  may  be  a  function  of 
family  and  friends  left  behind  and  so  we  probably  are  not  investigating  mutually 
exclusive  factors.   Results  of  significance  testing  (table  4)  confirm  the 
significance  of  differences  in  the  slope  lines. 

It  is  clear  from  these  data  that  we  should  pursue  the  linkage  between 
having  lived  in  the  area  before,  and  choosing  that  area  because  of  a  desire 
to  return  to  a  former  residence.   Once  again  we  shall  ask,  in  this  purifeid 
specification,  if  those  initially  motivated  to  leave  their  origins  for 
different  reasons  cash  in  on  prior  residence  at  differing  rates.   Relevant 
slope  lines  are  presented  in  Figure  4. 

It  should  be  noted  first  that  some  migrants  without  prior  residence,  but 
who  suggest  a  desire  to  return  home  continue  to  exist  as  evidenced  by  the  non- 
zero left  intercepts  for  all  lines.   The   explanation  for  this  may  lie  in 


-21- 


differential  subjective  perceptions  and  evaluations  on  what  constitutes  the 
respondent's  relevant  geographic  referrent  area.   It  would  appear  that  some 
have  responded  that  they  have  not  lived  in  "this"  area  before  for  purposes 
of  answering  that  question,  but  do  see  themselves  as  moving  "back  home". 
Unless  these  responses  are  random  error,  which  they  could  be  given  the  small 
number  of  cases  involved,  we  might  infer  that  the  territorial  scope  of  "back 
home"  is  larger  than  the  scope  of  area  included  in  a  respondents  view  of  a 
current  residential  environment. 

In  any  event,  the  results  in  terms  of  differential  slopes  are  quite 
revealing.   As  evidenced  in  Table  4,  we  do  need  the  interaction  effects  in 
order  to  reproduce  the  three-way  table  underlying  Figure  4.   That  is,  the 
interaction  effect  is  significant  at  the  .025  level.   It  is  retirees  who  have 
tended  most  to  cash  in  on  prior  residence  in  selecting  their  destinations.  To 
a  lesser  extent,  though,  the  other  types  of  outmigrants  have  also  impor- 
tantly drawn  upon  prior  residential  experience.   Even  those  initially  motivated 
as  a  function  of  employment  factors  have  drawn  upon  location  specific  capital 
in  the  form  of  prior  residence. 

Since  the  interaction  term  is  significant  and  the  slopes  are  different, 
we  conclude  that  knowing  the  reason  for  leaving  (in  conjunction  with  the 
basis  for  immigration  and  the  prior  residence  variable)  provides  truly 
additional  information  about  the  relationship  between  having,  and  using 
at  least  one  form  of  location  specific  capital.  Thus,  asking  respondents 
about  their  reasons  for  leaving  and  basis  for  selecting  a  destination  is 
fully  justified  in  the  context  of  the  substantive  example  presented  here. 


22 
Summary  and  Discussion 

Since  location  specific  capital  is  a  generic  term,  the  previous 
analysis  could  readily  be  expanded  to  incorporate  other  forms  of  ties 
which  respondents  may  or  may  not  suggest  as  important  to  destination 
selection.  For  instance,  one  could  generate  rates  of  return  for  family, 
friends,  prior  vacation  experience,  or  property  ownership  given  a 
questionnaire  including  items  asking  about  the  existence  of  such  contacts 
prior  to  inmigration.  Rates  of  return  on  each  of  these  forms  of  location 
specific  capital  could  be  compared  and  interpreted  as  to  the  relative 
salience  of  each  in  destination  selection.  We  have  also  ignored  an 
analysis  of  rates  of  return  on  location  specific  capital  in  the  decision 
to  leave.  Our  findings,  however,  clearly  suggest  that  had  we  asked  only 
the  respondent's  reason  for  leaving  the  place  of  origin,  we  would  have 
seriously  underestimated  the  importance  of  location  specific  capital  in 
the  total  migration  decision  making  process. 

The  suggestion  that  survey  researchers  include  two  operationalizations 
of  evaluative  criteria,  or  reasons,  is  a  conservative  approach  since  it 
implies  a  discrete,  two-stage  decision  making  process.   For  some  migrants, 
however,  we  might  find  a  much  more  continuous  decision  making  process 
involving  a  narrowing  down  of  the  awareness  space  into  a  viable  search 
space  and  ultimately  to  a  single  destination.   Survey  researchers,  of  course, 
must  make  operationalizations  on  the  basis  of  a  discrete  process  but  still 
we  might  benefit  greatly  from  more  than  two  questions.   For  instance,  we 
have  no  idea  how  our  sample  members  would  have  responded  to  a  question 
designed  to  elicit  reasons  for  moving  to  a  nonmetropolitan  area,  in  general. 
To  ask  this  question  presumes  that  a  decision  point  was  encountered  at 
which  a  respondent  chose  to  eliminate  all  metropolitan  places  from  the 
awareness  space. 


23 

The  importance  of  disaggregating  the  migration  decision  making 
process  into  more  than  a  simple  move  or  not  framework  implies  that  the 
migrant  has  been  able  to  make  choices  affecting  his  or  her  behavior. 
That  is,  separate  operationalizations  are  particularly  applicable  to  the 
voluntary,  relatively  unconstrained  migrant.   This  point  has  important 
implications. 

On  the  basis  of  the  reasons  given  for  leaving  their  origins,  we 
must  suspect  that  many  of  these  inmigrants  to  nonmetropolitan  high  growth 
areas  of  the  Midwest  are  voluntary  migrants,  and  perhaps  relatively 
unconstrained.   The  modal  response  category  was  an  environmental  reason 
for  leaving  the  origin.   Further  analysis,  however,  demonstrated  that  those 
who  left  for  environmental  reasons,  as  well  as  because  of  retirement, 
drew  heavily  upon  location  specific  capital  in  the  form  of  prior  resi- 
dence when  selecting  their  particular  destinations.   If  those  leaving 
their  origins  for  environmental  reasons,  or  retirement  reasons  are  a  major 
factor  in  nonmetropolitan  growth  nationally,  then  clearly  it  is  important 
to  ask  these  migrants  about  destination  selection  criteria.   In  contrast, 
we  demonstrated  that  the  employment-related  motivated  outmigrant  tends 
similarly  to  choose  a  destination  on  the  basis  of  employment  criteria  and 
so,  perhaps  it  is  less  important  to  ask  such  migrants  about  destination 
selection.   We  conclude  that  current  nonmetropolitan  growth,  especially, 
is  importantly  a  function  of  migrants  for  whom  we  gain  much  Insight  if  we 
disaggregate  our  operationalization  of  the  migration  decision  making  criteria. 
This  probably  reflects  the  voluntary  and  relatively  unconstrained  nature 
of  their  behavior. 


24 

If  indeed  voluntary  migrants  in  the  future  increasingly  come  to 
suggest  nonemployment  bases  for .migration  decision  making,  then  we  should 
also  expect  to  need  disaggregated  operationalizations  in  the  future. 
As  yet,  we  simply  don't  know  the  nature  of  this  possible  trend.  Long  and 
Hansen  (1978)  have  attempted  a  time  series  investigation  of  reasons  for 
migrating,  but  conclude  that  it  is  simply  not  possible  to  investigate  the 
matter  fruitfully  given  available  data. 

In  summary,  we  feel  that  it  is  essential  that  future  surveys  of 
migrants,  especially  those  which  are  certain  to  focus  on  nonmetropolitan 
"amenity"  growth  areas,  include  separate  reason  questions  for  in  and  out- 
migration  decisions.   This  is  a  minimum,  for  an  accurate  understanding  of 
the  total  decision  making  process.   To  other  researchers,  we  submit  that 
the  prudent  approach  for  any  survey  of  migrants  attempting  to  elicit 
"reasons  for  moving"  is  to  ask  criteria  for  both  leaving  and  choosing  a 
destination. 

Technical  Appendix 

The  methodology  used  in  this  paper  is  log-linear  analysis  of  cross- 
classified  data.   Drawing  on  the  works  of  Goodman  (1978)  and  his  computer 
program  ECTA,  we  present  likelihood  ratio  chi-squares  as  tests  of  signi- 
ficance.  The  advantage  of  this  methodology  is  that  it  allows  us  to  test 
for  interaction  effects  in  three-way  contingency  tables. 

The  logic  of  log-linear  analysis  is  similar  to  traditional  chi-square 
tests.   We  begin  with  a  table  of  observed  cell  frequencies  and  from  the 
marginals  of  that  table  we  calculate  expected  cell  frequencies.  We  then 
test  the  departure  of  the  expected  frequencies  from  the  observed  frequencies. 
In  the  traditional  x2  analysis,  this  would  be  a  test  for  statistical 


25 

2 
independence  between  two  variables.   The  larger  the  value  of  the  x,  ,  the 

more  readily  we  can  reject  the  null  hypothesis  of  statistical  independence 

which  is  to  say  that  the  expected  cell  frequencies  generated  on  the  basis 

of  the  marginals  do  not  fit  the  observed  frequencies. 

Similarly,  log-linear  analysis  generates  expected  cell  frequencies 

under  a  variety  of  assumptions,  and  provides  a  test  for  the  fit  between 

2 
expected  and  observed  cell  frequencies.   A  small  value  of  the  X  indicates 

a  fairly  good  fit  (subject  to  degrees  of  freedom  of  course)  while  a  large 

2 
X  indicates  a  poor  fit  under  the  assumptions  of  the  model  tested. 

The  basic  model  for  log-linear  analysis  of  a  two  variable  cross- 
classification  is  given  by  the  identity 

1  2  12 
fij  =  ™l   Tj  Tij  <« 

where  f..  refers  to  the  observed  frequencies  of  variables  1  and  2;  n.  is 

the  geometric  mean  of  f  . ;  and  the  x  parameters  are  the  probabilities 

that  an  observation  appears  in  the  subscripted  cell  of  the  superscripted 

univariate  or  joint  distribution.  The  model  for  testing  statistical 

independence  in  the  bivariate  case  is  given  by  the  formula 

F..  =  n  T1  T2  ,  where  T12  =  1.  (2) 

ij      i  j  '        ij 

In  this  equation  F   is  the  expected  frequency  in  the  ij   cell;  n  and  the 

x  parameters  are  as  defined  above.  The  formula  for  the  likelihood  ratio 

chi-square  is 

X2  =  2E  f±j  In  (f^/F^)  (3) 

where  f..  is  the  observed  frequency  in  the  ij   cell  and  F. ,  is  the 

xj  ^  ij 

expected  frequency  in  the  ij   cell.   This  Is  equivalent  to  the  G 
statistic  reported  by  Cohen  (1975). 


26 

Extending  this  analysis  to  three  variables,   we  have  the  identity 

f  „     1  J.  J$     12     13     23     123  ns 

fijk  =  T1Ti  fj   TkTij   TikTjkTi3k-  (4) 

And,  we  might  postulate  the  following  model 

v  n     12  3  12  13  23   .     123   ..      ,-* 

Fijk  =  n  Ti  Tj  Tk  Tij  Tik  Tjk'  Where  Tijk  =  X-     (5) 

This  model  hypothesizes  that  there  is  independence  between  two  variables 
across  the  third,  or  that  there  is  no  three-way  interaction  between  the 

variables,  or  that  the  relationship  between  two  variables  is  constant 

2 
across  the  levels  of  the  third.  A  large  and  significant  value  of  x 

would  lead  us  to  reject  this  hypothesis  and  conclude  that  we  cannot  fit 

the  observed  cell  frequencies  with  a  model  devoid  of  the  three-way 

2 
interaction  effect.  A  small,  insignificant  x  would  suggest  no  interaction 

in  that  we  would  have  fit  the  table  of  observed  frequencies  rather  well. 

Remember,  the  statistical  test  is  of  how  well  the  expected  frequencies 

based  upon  some  assumption (s)  fit  the  observed  frequencies. 

Using  ECTA  we  obtain  maximum  likelihood  estimates  of  the  cell 
frequencies  and  a  likelihood  ratio  chi-square  test  of  the  departure  of 
the  expected  cell  frequencies  from  the  observed  cell  frequencies.  Table 
4  summarizes  the  results  for  relevant  tables  and  figures.  Though  not 
presented,  it  will  be  remembered  that  a  cross-classification  underlies  the 
figures  and  provides  the  cell  frequencies  for  the  log-linear  analysis. 

For  the  bivariate  case,  we  have  tested  for  statistical  independence 
between  two  variables.  This  test  is  symbolized  as  (1)  (2)  in  Table  4 
and  corresponds  to  equation  2  above.  The  low  significance  levels  in  the 
results  for  Tables  2  and  3  and  Figures  1  and  3  suggest  that  the  expected 
frequencies  on  the  basis  of  an  assumption  of  independence  do  not  fit  the 
observed  frequencies  and  so  the  relationships  are  significant. 


27 
The  three-variable  tests  correspond  to  equation  5  above  and  are 
symbolized  in  Table  4  as  (12)  (13)  (23).   The  three-way  interaction  terra 
is  all  that  is  left  out  and  so  we  are  attempting  to  fit  observed 
frequencies  on  the  basis  of  expected  frequencies  generated  without 
allowing  for  the  three-way  interaction.  The  significance  levels  for 
Figures  2  and  4  simultaneously  suggest  how  well  we  fit  the  table  and  the 
significance  of  the  interaction  term.  A  significant  interaction  suggests 
that  the  slope  lines  for  any  two  variables  differ  across  levels  of  a 
third  variable.   In  Figure  2,  the  interaction  term  is  significant  at  the 
.069  level  while  in  Figure  4  it  is  significant  at  the  .025  level  and  so 
we  may  have  greater  confidence  in  the  existence  of  differing  slopes  in 
Figure  4. 


28 


References 

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1970     Migration  Flows  in  Intraurban  Space:  Place  Utility  Considera- 
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_J and  Eric  G.  Moore 

1970     The  Intra-urban  Migration  Process:  A  Perspective.  General 
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Cohen,  Joel  E 

1975     Childhood  Mortality,  Family  Size,  and  Birth  Order  in  Pre- 
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DaVanzo,  Julie  and  Peter  A.  Morrison 

1978     Dynamics  of  Return  Migration:  Descriptive  Findings  From  a 
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Goodman,  Leo 

1978     Analyzing  Qualitative/Categorical  Data:  Log-Linear  Models 
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Lansing,  John  B  and  Eva  Mueller 

1967     The  Geographic  Mobility  of  Labor.  Ann  Arbor:  University 

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Center. 

Long,  Larry  H.  and  Kristen  A.  Hansen 

1978     Reasons  for  Interstate  Migration:  Jobs,  Retirement,  Climate 
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Texas,  October. 

Roseman,  Curtis  C. 

1977     Changing  Migration  Patterns  Within  the  United  States.  Resource 

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Rossi,  Peter  H. 

1955     Why  Families  Move:  A  Study  in  the  social  Psychology  of  Urban 
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29 

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175-178. 


TABLE 


DETAILED  MOTIVATIONS 


Reason  for  Leaving 


Destination  Selection 
Criteria 


All  Reasons 

1.  Employment:  job  change;  reassignment  182 
Transfer 

Look  for  new  or  better  job 
Found  new  or  better  job 
Unemployment 
Other  (incl.  military) 

2.  Ties:  location  specific  capital 
Moved  closer  to  business  or  job 
Owned  or  received  property 
Moved  closer  to  family  or  friends 
Moved  back  home;  Lived  in  area  before  23* 
Vacationed  in  or  visited  area  before 
Other  ties 

3.  Environmental 
General  anti-urban  or  pro-rural 
Congestion;  Wanted  a  smaller  town 
Polution;  Environment 
Climate 
Crime 
Schools 

Recreational  opportunities 
Cost  of  living;  Taxes 
Liked  or  disliked  area  in  general 
Other  environmental  factors 


%  of 

%  of 

%  of 

%  of 

N 

Total 
100.0 

Catg. 

N 

Total 
100.0 

Catg. 

710 

710 



it  182 

25.6 

100.0 

148 

20.8 

100.0 

58* 

8.2 

31.9 

42 

5.9 

28.4 

22 

3.1 

12.1 

14 

2.0 

9.5 

63* 

8.9 

34.6 

64 

9.0 

43.2 

12 

1.7 

6.6 

0 





27 

3.7 

14.8 

28 

338 

9.9 
47.6 

18.9 

126 

17.7 

100.0 

100.0 

33* 

4.6 

26.1 

40 

5.6 

11.8 

28* 

3.9 

22.2 

70 

9.9 

20.7 

31* 

4.4 

24.6 

97 

13.7 

28.7 

ire  23* 

3.2 

18.3 

81 

11.4 

24.0 

■e    1* 

0.1 

0.8 

43 

6.1 

12.7 

10* 

1.4 

8.0 

7 

1.0 

2.1 

216 

30.4 

100.0 

176 

24.8 

100.0 

93 

13.1 

43.1 

45 

6.3 

25.7 

31 

4.4 

14.4 

6 

0.8 

3.4 

4 

0.6 

1.9 

12 

1.7 

6.8 

6 

0.8 

2.7 

6 

0.8 

3.4 

13 

1.8 

6.0 

6 

0.8 

3.4 

16 

2.3 

7.4 

12 

1.7 

6.8 

5 

0.7 

2.2 

24 

3.4 

13.6 

12 

1.7 

5.6 

15 

2.1 

8.5 

22 

3.1 

10.2 

19 

2.7 

10.8 

14 

2.0 

6.5 

31 

4.4 

17.6 

4.  Retirement 

5.  Other 

Family;  Life  cycle 

Housing 

Health 

Other 


99 


13.9   100.0 


83 

11.7 

100.0 

47 

6.6 

100.0 

32 

4.5 

33.6 

11 

1.5 

23.4 

10 

1.4 

12.0 

19 

2.7 

40.5 

20 

2.8 

24.1 

5 

0.7 

10.6 

21 

3.0 

25.3 

12 

1.7 

25.5 

*  see  text  for  explanation 


Table  2.   Relationship  between  Criteria  for  Destination  Selection  anc 
Reason  for  Leaving  Origin  (all  households) 


Destination 

Reason 

for 

'  leaving 

selection 
criteria 

Employ- 
ment 

Ties  (location 
specific  capita 

1) 

Environ- 
ment 

Retire 

Other 

Employment 

125 
(68%) 

3 
(2%) 

17 
(8%) 

1 
(1%) 

3 

(4%) 

Ties  (location 
specific  capita 

.1) 

36 
(20%) 

107 
(84%) 

87 
(40%) 

62 
(62) 

44 
(54) 

Environment 

18 
(10%) 

16 
(13%) 

93 
(43%) 

30 
(30%) 

19 
(23%) 

Other 

4 
(2%) 

1 
(1%) 

19 
(9%) 

7 
(7%) 

15 
(19%) 

Table  3.  Relationship  between  Criteria  for  Destination  Selection  and 
Reason  for  Leaving  Origin  (Households  in  which  decisions  we 
not  simultaneous) 


Destination 


Reason  for  leaving 


selection 

Employment 

criteria 

Employment 

35 
(57%) 

Ties  (location 

specific  capita 

Ll) 

20 
(32%) 

Environment 

7 
(11%) 

Environment 


Retire 


Other 


Other 


0 


(0) 


14 
(7%) 


87 
(41%) 

93 
(43%) 

19 
(  9%) 


1 
(1%) 


62 
(62%) 

30 
(30%) 

7 
(  7%) 


2 
(3%) 

44 
(55%) 

19 
(23%) 

15 
(19%) 

2 

Table  4.   Likelihood  Ratio  x  Values  for  Relevant  Tables  and  Figures 


Table  2 
Table  3 
Figure  1 
Figure  2 
Figure  3 


Figure  4 


Model  Fit 

y2 

df 

Sig. 

(1)  (2) 

385.49 

12 

.000 

(1)  (2) 

129.48 

9 

.000 

(1)  (2) 

26.24 

1 

.000 

(12)  (13)  (2 

:3) 

7.07 

3 

.069 

(1)  (2) 

125.44 

4 

.000 

(12) (13)  (2 

13) 

9.32 

3 

.025 

FIGURE  1 

RETURNS  TO  LOCATION  SPECIFIC  CAPITAL  (PRIOR  RESIDENCE) 
FOR  NON-SIMULTANEOUS  DECISION  MAKERS 


100 


90 


80 


70 


{•cent  who 
Iked 

ictination 
ii  basis   of 
.c:ation 
■jcific 
:<>ital 


10 


100 


90 


80 


70 


60 


50 


•     40 


30 


20 


10 


NO  PRIOR 
RESIDENCE 


PRIOR 
RESIDENCE 


i   are  2.   Returns  to  Location  Specific  Capital  by  Reason  for  Leaving 
Origin  (non-simultaneous  decision  makers) 


100 


rcent  who 
aked  des- 
laation  on 
isis  of  lo- 
:tion  spe- 
:fic  capital 


20 


10 


0 


7  100 


90 


Retire 


80 


70 


60 


50 


40 


30 


20 


10 


0 


Environmental  factors 
Other 


Employment 


NO  PRIOR 
RESIDENCE 


PRIOR 

RESIDENCE 


Figure  3.   Salience  of  Prior  Residence  to  Utilization  of  Location  S 
Capital  in  Various  Forms  (Non-simultaneous  decision  make. 


'rcent  who 
jzked  des- 
:aation  on 
jsis  of 
secific 
Erms  of 
Lcation 
secific 
:pital 


100 


90 


80 


70 


60 


50 


100 


90 


80 


70 


60 


50 


40  Return 


30 


20 


Family  and  friends 


10 

Economic  ties 

Vacations  and  other 
0 


NO  PRIOR 
RESIDENCE 


PRIOR 
RESIDENCE 


re  4 


Salience  of  "Return"  as  a  Form  of  Location  Specific  Capil 
in  Relation  to  Prior  Residence  bv  Reason  for  Leaving 
(Non- simultaneous  decision  makers). 


100f 


TlOO 


krcent  who 
]Lcked  des- 
•Lnation  on 
lisis  of   a 
i^sire   to 
iturn   to 
:ior  area 
if  residence 


Environmental    factors 


30   Employment 
Other 


NO   PRIOR 
RESIDENCE 


PRIOR 

RESIDENCE 


'2-89