Agricultural transition and the adoption of primitive technology.
Ang, James B.
TABLE A1
Definition of Variables and Data Sources
Variable Description Source
Technology The average adoption Comin et al. (2010)
adoption levels of technology
in 1000 BC, 1 AD,
and 1500 AD. It
covers the following
sectors:
agriculture,
transportation,
communications,
industry, and
military.
Years since The number of years Putterman (2006)
agricultural elapsed, in 2000 AD,
transition since the transition
to agriculture was
estimated to occur
(in thousand years)
Neolithic This measure Diamond (1997),
distance to the captures the Diamond and Bellwood
regional center geographic distance (2003), Bellwood
between a country (2005), and author's
and its nearest own calculation
Neolithic center in
the same
agricultural spread
zone. The Neolithic
points of origins
are chosen based on
the estimated
archaeological sites
for the centers of
origin of
agriculture reported
in Diamond (1997),
Diamond and Bellwood
(2003) and Bellwood
(2005). Geographical
distance is
calculated using the
"Haversine formula,
which calculates the
shortest distance
between two points
on the surface of a
sphere based on
their longitudes and
latitudes. See
Section II.C for
details.
Biogeographic The first principal Hibbs and Olsson
endowments component of the (2004); Olsson and
standardized numbers Hibbs (2005)
of domesticable wild
plants and animals
Climate Climate Hibbs and Olsson
classification of 1 (2004); Olsson and
-4 based on the Hibbs (2005)
Koppen's approach. A
higher value
indicates more
favorable climate
conditions for
agriculture.
Axis The east-west Hibbs and Olsson
orientation of the (2004); Olsson and
axis, calculated as Hibbs (2005) and
the longitudinal author's own
distance between the estimation using the
furthest eastern and horizontal width and
western points in vertical length data
each continent from http://www.
divided by worldatlas.com/
latitudinal
distance. Unlike
Hibbs and Olsson
(2004) and Olsson
and Hibbs (2005) who
use the axis values
of the nearest
continents for some
island countries, we
directly measure the
axes for these
countries.
Landmass size Size of landmass to Olsson and Hibbs
which a country (2005)
belongs (in millions
of square
kilometers)
Latitude Absolute value of CIA World Fact Book
the latitude of each
country
Landlocked A dummy variable CIA World Fact Book
that equals 1 if a
country is fully
enclosed by land and
0 otherwise
Island A dummy variable CIA World Fact Book
that equals 1 if a
country is an island
and 0 otherwise
Terrain An index that Nunn and Puga (2012)
ruggedness quantifies
small-scale terrain
irregularities in
each country
State An index of state Putterman (2012)
antiquity history covering the
period from 1 AD to
1500 AD, scaled to
take values between
0 and 1. The data
set was originally
introduced by
Bockstette et al.
(2002), but the
current paper uses
its latest version,
v3.1.
Genetic The degree of Spolaore and
distance to genealogical Wacziarg (2009)
the technology similarities or
frontier historical
relatedness for the
population of a
particular country
relative to that of
the technological
frontier up to 1500
AD, that is, Italy.
Data on population
are matched to
countries based on
their ethnic
composition as of
1500 AD.
Population The population McEvedy and Jones
density divided by land area (1978) and World
Bank (2012)
CIA, Centra] Intelligence Agency.
TABLE A2
Estimated Archaeological Sites of the Centers of
Agricultural Origin for Each Region and the Modern-Day
Countries with Significant Territory within the Sites
Region/Country Neolithic Center Present-Day
(Date of Farming Country
Spread)
North America Central Mexico Mexico
(5000-4000 BP)
South America Northern South Colombia, Ecuador,
America (5000-4000 Peru and Panama
BP)
Sub-Saharan West Africa, the Cote D'Ivoire,
Africa Sahel, and Ethiopian Ethiopia and Ghana
highland (5000-4000
BP)
Middle East and Fertile Crescent Iraq, Syria and
North Africa (11000 BP) Turkey
South Asia Fertile Crescent Iraq, Syria and
(11000 BP) Turkey
Europe and Central Fertile Crescent Iraq, Syria and
Asia (11000 BP) Turkey
East Asia Yangzi and Yellow China
River Basins (9000
BP)
Oceania (excluding Yangzi and Yellow China
PNG) River Basins (9000
BP)
Papua New Guinea New Guinea Highlands Papua New Guinea
(PNG) (9000-6000 BP)
Notes: The Neolithic sites and the years during which
farming was spread are taken from the estimates of Diamond
(1997), Diamond and Bellwood (2003), and Bellwood (2005).
The present-day countries are chosen by the author.
TABLE 1
Descriptive Statistics
Variable Observed Mean SD
Technology adoption in 1000 82 0.43 0.29
BC (index)
Technology adoption in 1 AD 101 0.72 0.29
(index)
Technology adoption in 1500 89 0.48 0.32
AD (index)
Years of agricultural 103 4.42 2.33
transition (1,000 years)
Distance to the Neolithic 103 21.21 16.58
point of origin (100 km)
Biogeography (standardized 103 0.04 1.01
values)
Climate classification 103 2.60 1.05
Axis (ratio) 103 1.55 0.68
Landmass size (millions of 103 30.08 14.21
square)
Absolute latitude 103 0.29 0.19
Landlocked (dummy) 103 0.23 0.42
Island (dummy) 103 0.08 0.27
Terrain ruggedness (index) 103 1.24 1.10
Variable Minimum Maximum
Technology adoption in 1000 0.00 1.00
BC (index)
Technology adoption in 1 AD 0.00 1.00
(index)
Technology adoption in 1500 0.00 1.00
AD (index)
Years of agricultural 0.40 10.50
transition (1,000 years)
Distance to the Neolithic 0.00 111.77
point of origin (100 km)
Biogeography (standardized -0.95 1.48
values)
Climate classification 1.00 4.00
Axis (ratio) 0.50 3.00
Landmass size (millions of 0.00 44.61
square)
Absolute latitude 0.01 0.71
Landlocked (dummy) 0.00 1.00
Island (dummy) 0.00 1.00
Terrain ruggedness (index) 0.02 6.20
Notes: Refer to the text or Table A1 in the Appendix
for descriptions of all variables.
TABLE 2
Ordinary Least Squares Estimates
1000 BC 1 AD
Dep. Var. =
Tech. adop. (la) (lb) (2a) (2b)
Yrs since 0.102 *** 0.096 *** 0.045 *** 0.047 ***
agr. tran. (0.015) (0.021) (0.008) (0.011)
[beta] [74.6] [69.8] [36.1] [38.3]
coefficients
[%]
Climate -0.007 -0.006
(0.049) (0.029)
Axis 0.033 -0.010
(0.060) (0.028)
Landmass size -0.000 -0.001
(0.002) (0.001)
Latitude 0.101 0.127
(0.197) (0.160)
Landlocked -0.090 -0.009
(0.064) (0.053)
Island -0.180 -0.039
(0.162) (0.060)
Terrain 0.003 0.005
ruggedness (0.022) (0.017)
[R.sup.2] 0.572 0.594 0.698 0.703
Observations 82 82 101 101
Region dummies Yes Yes Yes Yes
1500 AD
Dep. Var. =
Tech. adop. (3a) (3b)
Yrs since 0.043 *** 0.035 ***
agr. tran. (0.014) (0.013)
[beta] [28.4] [23.6]
coefficients
[%]
Climate 0.055 **
(0.026)
Axis -0.002
(0.037)
Landmass size -0.001
(0.001)
Latitude 0.075
(0.121)
Landlocked 0.013
(0.040)
Island -0.005
(0.048)
Terrain -0.017
ruggedness (0.016)
[R.sup.2] 0.832 0.862
Observations 89 89
Region dummies Yes Yes
Notes: The dependent variable is the levels of technology
adoption in 1000 BC, 1 AD, or 1500 AD. Figures in the
parentheses are robust standard errors. The region dummies
are Africa, Eurasia, Oceania, North America and South
America. An intercept is included in the regressions but is
not reported to conserve space.
***, **, and * denote significance at the 1%, 5%, and 10%
levels, respectively.
TABLE 3
Instrumental Variable Regressions (Baseline Results)
1000 BC 1 AD
Dep. Var. =
Tech. adop. (la) (lb) (2a) (2b)
Panel A: Second-stage regressions
Yrs since 0.142 *** 0.150 *** 0.071 *** 0.089 ***
agr. tran. (0.024) (0.035) (0.014) (0.022)
[beta] [103.6] [109.3] [57.5] [71.7]
coefficients
[%]
Climate -0.040 -0.037
(0.045) (0.032)
Axis 0.070 -0.008
(0.089) (0.027)
Landmass size -0.002 -0.002 *
(0.004) (0.001)
Latitude 0.268 0.269
(0.242) (0.181)
Landlocked -0.076 0.003
(0.063) (0.054)
Island -0.063 0.016
(0.216) (0.063)
Terrain -0.001 0.004
ruggedness (0.022) (0.017)
[R.sup.2] 0.538 0.546 0.680 0.671
Panel B: First-stage regressions
DTNO -0.049 *** -0.040 *** -0.051 *** -0.043 ***
(0.008) (0.012) (0.009) (0.010)
BIOGEO 0.827 *** 0.906 * 0.897 *** 0.818**
(0.297) (0.462) (0.222) (0.367)
[R.sup.2] 0.757 0.786 0.770 0.803
Partial 0.397 0.311 0.426 0.314
[R.sup.2]
F-test for 24.936 13.181 25.025 17.949
excluding
instruments
Robust score 4.714** 4.678 ** 4.750 ** 4.969 **
test for [p = .029] [p = .031] [p = .029] [p = .026]
endogeneity
Observations 82 82 101 101
Region dummies Yes Yes Yes Yes
1500 AD
Dep. Var. =
Tech. adop. (3a) (3b)
Panel A: Second-stage regressions
Yrs since 0.080 *** 0.076 ***
agr. tran. (0.020) (0.022)
[beta] [53.0] [50.7]
coefficients
[%]
Climate 0.027
(0.029)
Axis 0.005
(0.047)
Landmass size -0.002
(0.001)
Latitude 0.188
(0.156)
Landlocked 0.020
(0.040)
Island 0.043
(0.064)
Terrain -0.018
ruggedness (0.017)
[R.sup.2] 0.808 0.839
Panel B: First-stage regressions
DTNO -0.047 *** -0.043 ***
(0.008) (0.011)
BIOGEO 0.881 *** 0.788 **
(0.219) (0.365)
[R.sup.2] 0.776 0.799
Partial 0.450 0.366
[R.sup.2]
F-test for 23.835 18.536
excluding
instruments
Robust score 8.516 *** 9.475 ***
test for [p = .003] [p = .002]
endogeneity
Observations 89 89
Region dummies Yes Yes
Notes: The dependent variable is the levels of technology
adoption in 1000 BC, 1 AD, or 1500 AD. The timing of
agricultural transition is instrumented by distance to the
Neolithic center (DTNO) and an index of biogeographic
endowments (BIOGEO). The region dummies are Africa, Eurasia,
Oceania, North America, and South America. An intercept is
included in the regressions but is not reported to conserve
space. In the full specifications (all columns (b)), all
control variables and region dummies are also included in
the first-stage regressions. The F-test for excluded
instruments tests the null hypothesis that the coefficients
on the instruments equal zero in the first stage of the
regressions. An F-statistic <10 indicates that the
instruments are weak. The null for the robust score tests is
that the timing of agricultural transition is exogenous. The
results show Chi-square statistics and p values (in square
brackets). Figures in the round parentheses are robust
standard errors.
***, **, and * denote significance at the 1%, 5%,
and 10% levels, respectively.
TABLE 4
Robustness Checks Using Alternative Instruments (IV-2SLS Estimates)
1000 BC 1 AD
Dep. Var. =
Tech. adop. (la) (lb) (2a) (2b)
Panel A: Choosing the agricultural cores by continent
Yrs since 0.155 *** 0.168 *** 0.085 *** 0.109 ***
agr. tran. (0.035) (0.045) (0.017) (0.027)
[R.sup.2] 0.525 0.530 0.663 0.648
Observations 82 82 101 101
Instrument(s) (i) Geographical distance to one of the
countries that first transit to agriculture
in each continent; (ii) biogeography index
(BIOGEO)
Panel B: Using only distance to the Neolithic center as the IV
Yrs since 0.125 *** 0.125 *** 0.052 *** 0.065 ***
agr. tran. (0.028) (0.037) (0.016) (0.022)
[R.sup.2] 0.561 0.580 0.696 0.698
Observations 82 82 101 101
Instrument(s) (i) Distance to the Neolithic point
of origin (DTNO)
Panel C: Using only biogeography as the IV
Years since 0.178 *** 0.199** 0.108 *** 0.150 ***
agricultural (0.071) (0.080) (0.030) (0.049)
transition
[R.sup.2] 0.450 0.417 0.593 0.507
Observations 82 82 101 101
Instrument(s) (i) Biogeography index (BIOGEO)
Panel D: Using the availability of plants and animals as IVs
Yrs since 0.182 ** 0.206 ** 0.107 *** 0.149 ***
agr. tran. (0.076) (0.087) (0.029) (0.051)
[R.sup.2] 0.436 0.394 0.598 0.512
[R.sup.2] 82 82 101 101
Instrument(s) (i) Number of domesticable plants available;
(ii) number of domesticable animals available
Region dummies Yes Yes Yes Yes
Geographic No Yes No Yes
controls
1500 AD
Dep. Var. =
Tech. adop. (3a) (3b)
Panel A: Choosing the agricultural cores by continent
Yrs since 0.083 *** 0.063 ***
agr. tran. (0.019) (0.021)
[R.sup.2] 0.822 0.859
Observations 89 89
Instrument(s) (i) Geographical distance to one of the
countries that first transit to agriculture
in each continent; (ii) biogeography index
(BIOGEO)
Panel B: Using only distance to the Neolithic center as the IV
Yrs since 0.040 ** 0.059 ***
agr. tran. (0.017) (0.021)
[R.sup.2] 0.832 0.855
Observations 89 89
Instrument(s) (i) Distance to the Neolithic point
of origin (DTNO)
Panel C: Using only biogeography as the IV
Years since 0.144 *** 0.122** *
agricultural (0.039) (0.040)
transition
[R.sup.2] 0.645 0.756
Observations 89 89
Instrument(s) (i) Biogeography index (BIOGEO)
Panel D: Using the availability of plants and animals as IVs
Yrs since 0.144** * 0.118 ***
agr. tran. (0.036) (0.041)
[R.sup.2] 0.647 0.766
[R.sup.2] 89 89
Instrument(s) (i) Number of domesticable plants available;
(ii) number of domesticable animals available
Region dummies Yes Yes
Geographic No Yes
controls
Notes: The dependent variable is the levels of technology
adoption in 1000 BC, 1 AD, or 1500 AD. The region dummies
are Africa, Eurasia, Oceania, North America, and South
America. The geographic controls are climate, latitude, axis
(the orientation of continent), size of landmass, landlocked
dummy, island dummy, and terrain ruggedness. An intercept is
included in the regressions but is not reported to conserve
space. Figures in the parentheses are robust standard
errors.
***, **, and * denote significance at the 1%, 5%, and 10%
levels, respectively.
TABLE 5
Other Robustness Checks (IV-2SLS Estimates)
1000 BC 1 AD
Dep. Var. =
Tech. adop. (1a) (1b) (2a) (2b)
Panel A: Considering non-agriculture
technology adoption
Yrs since 0.123 *** 0.136 *** 0.069 *** 0.088 ***
agr. tran. (0.024) (0.032) (0.017) (0.025)
[R.sup.2] 0.557 0.586 0.658 0.672
Observations 82 82 95 95
Panel B: Using conventional continent dummies
Yrs since 0.152 *** 0.162 *** 0.063 *** 0.081 ***
agr. tran. (0.027) (0.034) (0.010) (0.017)
[R.sup.2] 0.488 0.515 0.688 0.697
Observations 82 82 101 101
Panel C: Excluding countries experiencing late
transition (within the last 3,000years)
Years since 0.137 *** 0.138 0.060 0.056
agricultural (0.037) (0.047) (0.019) (0.032)
transition
[R.sup.2] 0.487 0.602 0.627 0.667
Observations 67 67 79 79
Region dummies Yes Yes Yes Yes
Geographic controls No Yes No Yes
1500 AD
Dep. Var. =
Tech. adop. (3a) (3b)
Panel A: Considering non-agriculture
technology adoption
Yrs since 0.081 *** 0.077 ***
agr. tran. (0.023) (0.024)
[R.sup.2] 0.801 0.854
Observations 88 88
Panel B: Using conventional continent dummies
Yrs since 0.064 *** 0.068 ***
agr. tran. (0.020) (0.021)
[R.sup.2] 0.844 0.853
Observations 89 89
Panel C: Excluding countries experiencing late
transition (within the last 3,000years)
Years since 0.088 *** 0.067 *
agricultural (0.031) (0.038)
transition
[R.sup.2] 0.764 0.826
Observations 74 74
Region dummies Yes Yes
Geographic controls No Yes
Notes: The dependent variable is the levels of technology
adoption in 1000 BC, 1 AD, or 1500 AD. The region dummies
are Africa, Eurasia, Oceania, North America, and South
America. The geographic controls are climate, latitude, axis
(the orientation of continent), size of landmass, landlocked
dummy, island dummy, and terrain ruggedness. An intercept is
included in the regressions but is not reported to conserve
space. Figures in the parentheses are robust standard
errors.
***, **, and * denote significance at the 1%, 5%, and 10%
levels, respectively.
TABLE 6
Analyzing the Persistent Effects of Technology Adoption
X = 1500 AD X = 1500 AD
Dep. Var. =
Tech. adop. in X (1a) (1b) (2a) (2b)
Yrs since 0.049 ** 0.048 ** 0.098 *** 0.099 **
agr. tran. (0.021) (0.024) (0.034) (0.041)
P coefficients [%] [32.7] [32.0] [62.0] [62.4]
Tech. adop. 0.337 *** 0.316 ***
in 1 AD (0.090) (0.086)
P coefficients [%] [31.0] [29.0]
Tech. adop. in -0.081 -0.048
1000 BC (0.136) (0.138)
p coefficients [%] [-7.1] [-4.2]
[R.sup.2] 0.862 0.886 0.817 0.843
Observations 87 87 77 77
Region dummies Yes Yes Yes Yes
Geographic controls No Yes No Yes
X = 1 AD
Dep. Var. =
Tech. adop. in X (3a) (3b)
Yrs since 0.054 0.060
agr. tran. (0.034) (0.044)
P coefficients [%] [39.7] [43.7]
Tech. adop.
in 1 AD
P coefficients [%]
Tech. adop. in 0.231 * 0.237 *
1000 BC (0.123) (0.133)
p coefficients [%] [23.3] [23.9]
[R.sup.2] 0.727 0.727
Observations 81 81
Region dummies Yes Yes
Geographic controls No Yes
Notes: The dependent variables are the levels of technology
adoption in 1500 AD (columns (1) and (2)) and 1 AD (column
(3)). The timing of agricultural transition is instrumented
by distance to the Neolithic center and biogeography. The
region dummies are Africa, Eurasia, Oceania, North America,
and South America. The geographic controls are climate,
latitude, axis (the orientation of continent), size of
landmass, landlocked dummy, island dummy, and terrain
ruggedness. An intercept is included in the regressions but
is not reported to conserve space. Figures in the
parentheses are robust standard errors.
***, **, and * denote significance at the 1%, 5%, and 10%
levels, respectively.
TABLE 7
Analysis of the Mediation Tests
(1) (2) (3)
X = 1500 AD X = 1500 AD X = 1 AD (the
(the Mediation (the Mediation Mediation
Dep. Var. = Effect of Effect of Tech. Effect of Tech.
Tech. adop. Tech. adop. adop. in 1000 adop. in 1000
in X in 1 AD) BC) BC)
Direct effect 0.018 * 0.027 * 0.007
[p = .087] [p = .052] [p = .663]
Indirect effect 0.018 ** 0.015 * 0.037 ***
(Sobel test) [p = .010] [p = .059] [p = .001]
Total effect 0.036 *** 0.042 *** 0.044 ***
[p = .002] [p = .001] [p = .006]
Total effect
mediated (%) 49.1 35.6 83.2
Observations 87 77 81
Region dummies Yes Yes Yes
Geographic
controls Yes Yes Yes
Notes: The Sobel test statistics are calculated using the
approach described in MacKinnon (2008). This method tests
the null hypothesis that there is no indirect effect from
the timing of agricultural transition (years since
agricultural transition) via the channels considered
(technology adoption in 1 AD for column (1) and technology
adoption in 1000 BC for columns (2) and (3)). The approach
involves estimating two regression equations. Take column
(1) as an example, first we estimate the parameter ([[beta].sub.1])
describing the effect of years since agricultural transition
on the mediator (technology adoption in 1 AD) (Model 1).
Next, the direct effect is estimated by regressing
technology adoption in 1500 AD on years since agricultural
transition while controlling for the mediator (Model 2). The
coefficient of years since agricultural transition provides
the magnitude of this effect ([[beta].sub.2]). The indirect
effect is given by the product of [[beta].sub.1] and
[[beta].sub.3] where [[beta].sub.3] measures the strength of
the correlation between technology adoption in 1500 AD and
technology adoption in 1 AD in Model 2. This term also
reflects the size of the mediation, which essentially
depends upon the extent to which years since agricultural
transition influences the mediator (Pj) and the extent to
which the mediator affects technology adoption in 1500 AD
([[beta].sub.3]).
***, **, and * indicate significance at the 1%, 5%, and 10%
levels, respectively.
TABLE 8
Controlling for the Effects of Other Early
Development (IV-2SLS Estimates)
(la) (lb) (2a)
Dep. Var. = Tech. adop.
in 1500 AD
Panel A: 1500 AD estimates
Yrs since agr. tran. 0.061 ** 0.063 ** 0.083 ***
(0.024) (0.027) (0.021)
[beta] coefficients [%] [40.2] [41.7] [54.8]
State history up 0.156 0.164 *
to 1500 AD (0.095) (0.083)
[beta] coefficients [%] [15.6] [8.3]
Genetic distance -0.090 **
in 1500 AD (0.038)
[beta] coefficients [%] [-14.7]
Population density
in 1500 AD
[beta] coefficients [%]
[R.sup.2] 0.832 0.859 0.806
Observations 84 84 84
Dep. Var. = Tech. adop.
in 1 AD
Panel B: 1 AD estimates
Yrs since agr. tran. 0.052 ** 0.054 * 0.063 ***
(0.023) (0.032) (0.016)
[beta] coefficients [%] [43.3] [44.3] [52.1]
State history in 1 -50 AD 0.067 0.099
(0.093) (0.106)
[beta] coefficients [%] [7.7] [11.5]
Genetic distance in 1 AD -0.071
(0.045)
[beta] coefficients [%] [-13.7]
Population density in 1 AD
[beta] coefficients [%]
[R.sup.2] 0.706 0.727 0.703
Observations 84 84 84
Dep. Var. = Tech. adop.
in 1000 BC
Panel C: WOO BC estimates
Yrs since agr. tran. 0.128 *** 0.128 ** 0.134 ***
(0.034) (0.049) (0.027)
[beta] coefficients [%] [95.7] [95.7] [100.2]
State history 0.020 0.029
in 1-50 AD (0.122) (0.139)
[beta] coefficients [%] [2.4] [3.5]
Genetic distance 0.052
in 1 AD (0.080)
[beta] coefficients [%] [10.2]
Population density
in 1 AD
[beta] coefficients [%]
[R.sup.2] 0.528 0.557 0.526
Observations 71 71 71
Region dummies Yes Yes Yes
Geographic controls No Yes No
(2b) (3a) (3b)
Dep. Var. = Tech. adop.
in 1500 AD
Panel A: 1500 AD estimates
Yrs since agr. tran. 0.088 *** 0.075 *** 0.081 ***
(0.027) (0.022) (0.027)
[beta] coefficients [%] [58.2] [49.4] [53.5]
State history up
to 1500 AD
[beta] coefficients [%]
Genetic distance -0.080 *
in 1500 AD (0.043)
[beta] coefficients [%] [-13.0]
Population density 0.002 -0.001
in 1500 AD (0.002) (0.002)
[beta] coefficients [%] [5.3] [0.4]
[R.sup.2] 0.826 0.806 0.826
Observations 84 84 84
Dep. Var. = Tech. adop.
in 1 AD
Panel B: 1 AD estimates
Yrs since agr. tran. 0.075 *** 0.057 ** 0.070 **
(0.024) (0.022) (0.029)
[beta] coefficients [%] [61.9] [47.1] [57.6]
State history in 1 -50 AD
[beta] coefficients [%]
Genetic distance in 1 AD -0.086 *
(0.050)
[beta] coefficients [%] [-16.6]
Population density in 1 AD 0.000 0.001
(0.007) (0.009)
[beta] coefficients [%] [0.6] [1.9]
[R.sup.2] 0.717 0.698 0.709
Observations 84 84 84
Dep. Var. = Tech. adop.
in 1000 BC
Panel C: WOO BC estimates
Yrs since agr. tran. 0.149 *** 0.130 ** 0.140 ***
(0.038) (0.032) (0.042)
[beta] coefficients [%] [111.6] [96.8] [104.4]
State history
in 1-50 AD
[beta] coefficients [%]
Genetic distance 0.049
in 1 AD (0.073)
[beta] coefficients [%] [9.6]
Population density -0.003 -0.003
in 1 AD (0.010) (0.012)
[beta] coefficients [%] [-4.0] [-4.0]
[R.sup.2] 0.530 0.527 0.542
Observations 71 71 71
Region dummies Yes Yes Yes
Geographic controls Yes No Yes
(4a) (4b)
Dep. Var. = Tech. adop.
in 1500 AD
Panel A: 1500 AD estimates
Yrs since agr. tran. 0.069 ** 0.074 **
(0.027) (0.031)
[beta] coefficients [%] [45.6] [49.0]
State history up 0.116 0.147
to 1500 AD (0.096) (0.089)
[beta] coefficients [%] [11.7] [14.8]
Genetic distance -0.079 * -0.068
in 1500 AD (0.040) (0.044)
[beta] coefficients [%] [-12.9] [-11.1]
Population density 0.001 -0.001
in 1500 AD (0.002) (0.002)
[beta] coefficients [%] [1.9] [3.3]
[R.sup.2] 0.832 0.852
Observations 84 84
Dep. Var. = Tech. adop.
in 1 AD
Panel B: 1 AD estimates
Yrs since agr. tran. 0.056 ** 0.060 *
(0.028) (0.036)
[beta] coefficients [%] [46.3] [49.5]
State history in 1 -50 AD 0.056 0.072
(0.090) (0.103)
[beta] coefficients [%] [6.5] [8.4]
Genetic distance in 1 AD -0.068 -0.080
(0.048) (0.051)
[beta] coefficients [%] [-13.2] [-15.5]
Population density in 1 AD -0.003 0.001
(0.007) (0.008)
[beta] coefficients [%] [-4.4] [0.3]
[R.sup.2] 0.712 0.733
Observations 84 84
Dep. Var. = Tech. adop.
in 1000 BC
Panel C: WOO BC estimates
Yrs since agr. tran. 0.120 *** 0.133 **
(0.038) (0.052)
[beta] coefficients [%] [89.7] [99.4]
State history 0.058 0.031
in 1-50 AD (0.114) (0.131)
[beta] coefficients [%] [7.0] [3.8]
Genetic distance 0.055 0.053
in 1 AD (0.081) (0.072)
[beta] coefficients [%] [10.9] [10.5]
Population density -0.002 -0.002
in 1 AD (0.010) (0.012)
[beta] coefficients [%] [-2.9] [-3.5]
[R.sup.2] 0.545 0.556
Observations 71 71
Region dummies Yes Yes
Geographic controls No Yes
Notes: The dependent variables are the levels of technology
adoption in 1500 AD (panel A), 1 AD (panel B), and 1000 BC
(panel C). The timing of agricultural transition is
instrumented by distance to the Neolithic center and
biogeography. The region dummies are Africa, Eurasia,
Oceania, North America, and South America. The geographic
controls are climate, latitude, axis (the orientation of
continent), size of landmass, landlocked dummy, island
dummy, and terrain ruggedness. An intercept is included in
the regressions but is not reported to conserve space.
Figures in the parentheses are robust standard errors.
***, **, and * denote significance at the 1%, 5%, and 10%
levels, respectively.
TABLE 9
Mediation Analyses for the Effect of Other Early Development
(2)
(1) The Mediation
The Mediation Effect of
Effect Cultural
of State Diffusion
History Barriers
Panel A:
1500AD estimates
Indirect effect 0.019 *** -0.002
(Sobel test) (p = .008] [p = .366]
Total effect mediated (%) 54.3 7.2
Observations 84 84
Panel B:
1 AD estimates
Indirect effect 0.020 ** -0.001
(Sobel test) [p = .040] [p = .986]
Total effect mediated (%) 41.5 0.1
Observations 84 84
Panel C:
1000 BC estimates
Indirect effect 0.021 0.001
(Sobel test) [p = .148] [p = .641]
Total effect mediated (%) 21.8 1.4
Observations 71 71
Region dummies Yes Yes
Geographic controls Yes Yes
(3)
The Mediation
Effect of
Population
Density
Panel A:
1500AD estimates
Indirect effect 0.001
(Sobel test) [p = .570]
Total effect mediated (%) 3.9
Observations 84
Panel B:
1 AD estimates
Indirect effect 0.007
(Sobel test) [p = .347]
Total effect mediated (%) 13.9
Observations 84
Panel C:
1000 BC estimates
Indirect effect 0.007
(Sobel test) [p = .495]
Total effect mediated (%) 7.6
Observations 71
Region dummies Yes
Geographic controls Yes
Notes: The Sobel test statistics are calculated using the
approach described in MacKinnon (2008). This method tests
the null hypothesis that there is no indirect effect from
the timing of agricultural transition via the channels
considered (state history, cultural diffusion barriers, or
population density). The approach involves estimating two
regression equations. Take column (1) as an example, first
we estimate the parameter ([[beta].sub.1]) describing the
effect of years since agricultural transition on the
mediator (state history) (Model 1). Next, the direct effect
is estimated by regressing technology adoption on years
since agricultural transition while controlling for the
mediator (Model 2). The coefficient of years since
agricultural transition provides the magnitude of this
effect ([[beta].sub.2]). The indirect effect is given by the
product of p, and p3 where p3 measures the strength of the
correlation between technology adoption and state history in
Model 2. This term also reflects the size of the mediation,
which essentially depends upon the extent to which years
since agricultural transition influences the mediator (p3)
and the extent to which the mediator affects technology
adoption in 1500 AD (P3).
*** and ** indicate significance at the 1% and 5% levels,
respectively.
TABLE 10
Effects of Agricultural Transition on Adoption
in Each Sector (IV-2SLS Estimates)
Dep. Var. = (1) Y = (2) Y =
Tech. adop. Agriculture Communication
in Sector Y
Panel A: Technology adoption in 1000 BC
Yrs since agr. tran. 0.205 (0.074) 0.139 *** (0.042)
[R.sup.2] 0.208 0.379
Observations 82 82
Panel B: Technology adoption in 1 AD
Yrs since agr. tran. 0.093 (0.036) 0.171 *** (0.058)
[R.sup.2] 0.287 0.325
Observations 95 95
Panel C: Technology adoption in 1500 AD
Yrs since agr. tran. 0.081 (0.032) 0.115 *** (0.038)
[R.sup.2] 0.593 0.671
Observations 88 88
Region dummies Yes Yes
Geographic controls Yes Yes
Dep. Var. = (3) Y = (4) Y =
Tech. adop. Transport Industry
in Sector Y
Panel A: Technology adoption in 1000 BC
Yrs since agr. tran. 0.193 *** (0.041) 0.113 ** (0.046)
[R.sup.2] 0.582 0.643
Observations 82 82
Panel B: Technology adoption in 1 AD
Yrs since agr. tran. 0.137 *** (0.039) 0.045 ** (0.021)
[R.sup.2] 0.530 0.578
Observations 95 95
Panel C: Technology adoption in 1500 AD
Yrs since agr. tran. 0.053 *** (0.019) 0.045 * (0.025)
[R.sup.2] 0.795 0.916
Observations 88 88
Region dummies Yes Yes
Geographic controls Yes Yes
Dep. Var. = (5) Y =
Tech. adop. Military
in Sector Y
Panel A: Technology adoption in 1000 BC
Yrs since agr. tran. 0.099 *** (0.034)
[R.sup.2] 0.625
Observations 82
Panel B: Technology adoption in 1 AD
Yrs since agr. tran. 0.045 ** (0.021)
[R.sup.2] 0.578
Observations 95
Panel C: Technology adoption in 1500 AD
Yrs since agr. tran. 0.094 ** (0.040)
[R.sup.2] 0.702
Observations 88
Region dummies Yes
Geographic controls Yes
Notes: The dependent variable is the adoption levels of
technology in sector Y for 1000 BC, 1 AD, or 1500 AD, where
Y = agriculture, communication, transport, industry or
military. The timing of agricultural transition is
instrumented by distance to the Neolithic center and
biogeography. The region dummies are Africa, Eurasia,
Oceania, North America, and South America. The geographic
controls are climate, latitude, axis (the orientation of
continent), size of landmass, landlocked dummy, island
dummy, and terrain ruggedness. An intercept is included in
the regressions but is not reported to conserve space.
Figures in the parentheses are robust standard errors.
***, **, and * denote significance at the 1%, 5%,
and 10% levels, respectively.