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Adoption of conservation tillage in Australian cropping regions: an application of duration analysisFrancis H. D’Emden1, Rick S. Llewellyn2 and Michael P. Burton2
1: Cooperative
Research Centre for Australian Weed Management |
Most agricultural adoption studies to date do not account for time-varying factors that may influence individuals’ adoption decisions, and concentrate on the probability of adoption at a point in time. Incorporating subjective perceptions relating to an innovation’s value is one way to recognise the dynamic learning process that underpins adoption (Lindner 1987), however, time-varying variables that may help to explain whether and when an individual decides to adopt cannot be included in the typical cross-sectional studies. Treating the process of diffusion and individual adoption decisions as separate entities ignores the fact that the diffusion curve basically represents the growth in adoption over time.
Duration Analysis (DA) is a statistical method that builds on dichotomous
choice methods in which individual adoption decisions are modelled using
cross-section data, and measurements of aggregate diffusion. Duration
Analysis adds a dynamic element to the analysis by combining both individual
adoption decisions and the cumulative aspect of innovation diffusion (Burton
et al. 2003).
This study uses DA to analyse data on the time to adoption of no-till
technology by growers in Australia’s southern grain growing region. The
relative importance of a number of personal, locational and economic
variables on the likelihood of no-till adoption over a 20 year period is
determined. Time-varying variables such as herbicide prices and awareness of
local no-till use are included, together with a number of cross sectional
variables including perceptions relating to no-till value.
The next section briefly reviews conservation tillage and related adoption literature. This is followed by an overview of the conceptual framework for no-till adoption used in this study. A description of the study area and the variables is followed by an explanation of the DA method and the regression analyses. Implications for no-till and weed management research, development and extension are discussed. The paper concludes by discussing some of the benefits and potential areas of future development for using the DA method in studying the adoption of agricultural innovations.
No-till is an important development in cropping technology as soil surface
exposure through full tillage leads to greater soil moisture evaporation and
is considered to be a major cause of the decline in soil structure (Chan and
Pratley 1998). The benefits of no-till relative to full tillage include:
• improved sowing timeliness
• reduced fuel costs
• improved long- term productivity and water quality
• reduced soil erosion, and
• greater soil moisture retention and water infiltration
(ISTRO, 1997)
No-till sowing systems have been associated with increased cropping intensity and the reduced risk of soil degradation (see McTainsh et al. 2001). However, the removal of tillage as a pressure on weed populations results in a system highly reliant on herbicides. As tillage is reduced, the dependence on chemical weed control tends to increase (Allmaras et al. 1998; Radcliffe 2002; Hooper et al. 2003). In Australia, herbicide resistant weed populations are prevalent in many major grain growing regions (e.g. Llewellyn and Powles 2001), with costlier forms of multiple resistance and glyphosate resistance becoming more common (Powles et al. 1998; Llewellyn et al. 2002; Walsh et al. 2004).
The use of pre-emergent selective herbicides (e.g. trifluralin) are an
important component of integrated weed management in no-till systems when
combined with a reduction in the use of high resistance risk, post-emergent
selective herbicides. It is estimated that the use of pre-emergent selective
herbicides in Australian winter broadacre crops has grown from less than 1
million ha in 1990 to nearly 7 million ha in 2003, and that this coincides
with the growth in area of Annual ryegrass with resistance to post-emergent
selective herbicides (O’Connell, 2004).
There is a wealth of agricultural adoption literature involving conservation
tillage, though few studies have addressed no-till adoption in Australia.
Most of the existing studies use probit and logit models that rely on
cross-sectional data to determine the significance of factors influencing
growers’ adoption decisions as measured at a point in time.
It has been commonly observed in conservation tillage adoption studies that larger farms tend to invest more heavily in conservation cropping techniques that involve expensive machinery investments (Rahm and Huffman 1984; Norris and Batie 1987; Gould et al. 1989; Featherstone and Goodwin 1993; Westra and Olson 1997; Wang et al. 2000; Caswell et al. 2001). Explanations for this include the greater capacity for larger farms to make the up-front “lumpy” machinery investment and the greater land area on which to benefit. However, the relationship between changes in farm size over time and adoption of conservation tillage machinery and practices does not appear to have been thoroughly addressed in the past. This may be due to the difficulties in addressing causality, e.g. recognising the possibility that investing in modern reduced tillage technology promotes farm expansion. The DA framework allows for research into the influence of time-varying data on the time to adoption. Changes in farm area were used as a variable in the present study.
Awareness of a soil erosion problem has been found to be a predictor for the adoption of soil conservation measures (e.g. Sinden and King, 1990; Anim, 1999). Wind erosion is a major risk in many of Australia’s southern grain growing regions, particularly in those areas with low (i.e. < 500mm/yr) average annual rainfall (McTainsh et al. 2001). Some of the major benefits of no-till include the reduced risk of soil erosion (Baker et al. 1996) and the favourable influence on seeding timeliness, allowing earlier sowing and crop establishment (i.e. with less opening-season rainfall).
Education and training have also been commonly observed as influential factors in the adoption of conservation tillage practices (Rahm & Huffman 1984; Westra and Olson 1997; Wang et al. 2000; Caswell et al. 2001; Cary et al. 2001). This is typical of a complex innovation that requires system change with relatively high learning demands.
In this study it is assumed that growers’ perceptions, along with other
cross-sectional and time-dependant farm, farmer and economic characteristics
contribute to each individual grower’s subjective utility of no-till as time
progresses. The importance of learning, information acquisition and farmer
perceptions of innovation specific characteristics in determining adoption
has been emphasised in other models (e.g. Lindner et al. 1979; Adesina and
Zinnah 1993; Fischer et al. 1996). The study presented here is based on the
paradigm that growers hold particular perceptions regarding the effects of
no-till, and that these subjective assessments can be important factors in
their adoption decision (see Wossink et al. 1997). However, these subjective
assessments are under constant review, so the question of adoption
probability becomes a question of time to adoption. Conceptually, when the
subjective utility of adoption (UNT) increases relative to conventional
tillage (UCT), adoption becomes more likely, with adoption occurring at the
point in time when UNT> UCT. So, for an individual grower:
TNT = f(l,lt,g,gt,et)
Where:
TNT = the probability of no-till adoption at time t
l = a vector of cross sectional variables describing the farm
characteristics
lt = a vector of time-dependent variables describing the change in farm
characteristics
g = a vector of cross sectional variables describing the grower’s personal
characteristics
gt = a vector of time-dependent variables describing the change in grower’s
personal characteristics
et = a vector of time-dependent variables describing the change in exogenous
economic conditions.
A dichotomous logistic (logit) regression model using maximum-likelihood procedures was initially used to estimate the probability of no-till adoption as at 2003 (see D’Emden et al. 2005), some of the results of which (not shown here) are used as a comparison to the duration model.
This study is based on data from a survey of 384 farmers across southern Australia, comprising 240 no-till adopters and 144 non-adopters. The date of adoption is defined as the first year in which the farmer used no-till for any proportion of their sowing operation.
A phone survey was conducted between March and October 2003 involving growers across a variety of agro-ecological regions within the winter rainfall (400-500mm/yr) dominated grain growing regions of South Australia (SA), Western Australia (WA), western Victoria (Vic) and southern New South Wales (NSW). Phone numbers were randomly selected from publicly available farmer directories. The overall response rate was 51%. See Table 1 for regional sample sizes.
Table 1: Number of responses, district councils and localities comprising survey sample regions
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|
Sample Region |
Number of responses |
|
|
South Australia |
North West Eyre Peninsula |
40 |
|
|
Lower/Eastern Eyre Peninsula |
40 |
||
|
Upper North |
20 |
||
|
Yorke Peninsula/ Mid North |
40 |
||
|
Southern Mallee |
41 |
||
|
Northwest Mallee |
41 |
||
|
Western Australia |
Northern Wheatbelt |
41 |
|
|
Central/Eastern Wheatbelt |
40 |
||
|
Victoria |
Southern Wimmera |
41 |
|
|
New South Wales |
Upper Murrumbidgee |
40 |
The survey questions were designed to elicit information regarding growers’ tillage practices, along with locational and personal characteristics. Endogenous time-dependent variables were also generated from the survey data (Table 2). Additional exogenous time-dependent covariates are also described in Table 2.
No-till has
been defined as one pass seeding with narrow/knife points with less than
full cut-out (less than 30% soil disturbance) and zero-till as one pass
sowing system using discs for minimal soil disturbance (WANTFA, 2004; VNTFA,
2004). In this study, zero-till was assumed to be a subset of no-till, which
was defined as using seeding equipment on which only knifepoints or disc
openers were used for
soil opening, in one pass with no prior cultivation. The dependent variable
used in this model was the time between when the respondent started making
management decisions on their farm, to the year in which no-till was first
used.
Table 2 outlines the explanatory variables used in the model. Education, measured by the presence of a tertiary trained (i.e. completed a degree or diploma) contributor to management decisions in the farming business; membership of a local farming group (not including no-till farming groups due to autocorrelation) and extension event attendance, all contributors to accelerated learning, were hypothesised to reduce the time to no-till adoption.
A scale response question format was used to elicit growers’ perceptions of the long-term effects of using a no-till system with stubble retention (NT) relative to a ‘conventional’ system with full tillage and stubble removal (FC). Respondents were given the aforementioned descriptions of the NT and FC systems, and then asked whether they thought long-term use of NT would lead to much lower, slightly lower, the same, slightly higher or much higher levels of 3 different variables (rain needed to allow reliable seeding (RARS), herbicide resistance risk (HR) and effectiveness of pre-emergent herbicides (EPEH)) in comparison to the FC system. These perceived effects of no-till were considered to be potentially important in a grower’s subjective assessment of the relative utility of no-till.
Growers were also asked to state their perceived cost of changing to no-till seeding equipment. It was expected that those growers who thought the costs of changing to no-till seeding equipment to be relatively higher (per unit width) have a longer time to adoption.
Table 2: Definitions of independent variables
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Cross-sectional farm variables Definition |
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|
WestERN Australia |
Central and Northern Wheatbelt regions (Western Australia) |
||
|
Victoria |
Southern Wimmera region (Victoria) |
||
|
South Australia |
South Australia |
||
|
New South Wales |
Upper Murrumbidgee region (New South Wales) |
||
|
Rainfall |
Average annual rainfall (mm) |
||
|
Time-dependent farm variables |
|||
|
areat |
Farm area (ha) at time t |
||
|
crop%t |
Proportion (%) of farm sown to crop at time t |
||
|
Cross-sectional personal variables |
|||
|
Education |
Active management decision maker with tertiary qualification |
||
|
Erosion |
Proportion of farm’s soil types perceived to be prone to erosion |
||
|
Consultant |
Respondent directly pays a consultant for advice regarding cropping |
||
|
Extension |
Average days/year attending cropping extension events |
||
|
ChangeCOST |
Perceived cost of changing to no-till seeding equipment ($‘000/m bar width) |
||
|
resistance |
Herbicide resistance risk |
Perceived long-term influence of no-till with stubble retention (NT) cf. full-tillage with stubble removal (FC). Responses scaled from 1 to 5: 1= lot lower, 5 = lot higher, 3 = the same level in NT cf. FC |
|
|
Pre-emergent |
Effectiveness of pre-emergent herbicides |
||
|
timeliness |
Amount of rain needed to allow reliable sowing |
||
|
Time-dependent personal variables |
|||
|
farmgrouptA |
Year in which grower first became a member of a farmer group with a cropping focus |
||
|
landcaret |
Year in which grower first became a member of a Landcare group |
||
|
NTawaret |
Year in which grower first became aware of no-till being used in immediate district |
||
|
Exogenous time-dependent economic variables |
|||
|
glyphosatet |
Relative price of glyphosate active ingredient to diesel at time tB |
||
|
trifluralint |
Relative price of trifluralin active ingredient to diesel at time tB |
||
|
diclofopt |
Relative price of diclofop active ingredient to diesel at time tB |
||
A: Does not
include no-till farmers associations
B: Average net diesel price paid by Australian farmers, including farm rebates
and subsidies.
These included variables describing location and average annual rainfall. The state/region dummy variables are relative to Western Australia (WA) as the regions sampled in WA had the highest observed levels of adoption. Time-dependent farm-specific variables included farm size and proportion of farm planted to crop from the time respondents first started making management decisions to the time they adopted no-till, or in the case of non-adoption, 2003. The change in cropping proportion was included in an attempt to capture the change in relative profitability of cropping and livestock enterprises over the study period. It was hypothesised that those with increasingly intensive cropping programs would be more likely to benefit from the no-till cropping technology, and thus have a higher probability of adoption. It is also expected that those whose farm size has been increasing would tend to invest more in conservation cropping techniques involving expensive up-front machinery investments.
Table 3: Descriptive statistics of cross sectional variables by adopter (n = 218) and non-adopter (n = 166) groups.
|
Variables and units |
Adopter sample |
Non-adopter sample |
||||
|
Mean |
SD |
Mean |
SD |
|||
|
Western Australia (WA) (%)A |
85 |
- |
15 |
- |
||
|
Victoria (%)A |
88 |
- |
12 |
- |
||
|
South Australia (%)A |
49 |
- |
51 |
- |
||
|
New South Wales (NSW) (%)A |
68 |
- |
32 |
- |
||
|
Rainfall (mm/yr) |
379.76 |
75.45 |
354.91 |
72.52 |
||
|
Education (%)A |
0.24 |
0.43 |
0.14 |
0.34 |
||
|
EROSION (% of soil types) |
0.44 |
0.36 |
0.40 |
0.33 |
||
|
consultant (%)A |
0.42 |
0.49 |
0.16 |
0.37 |
||
|
Extension (days/yr) |
6.41 |
4.63 |
4.58 |
3.55 |
||
|
changecost ($’000/m bar width) |
6.83 |
5.15 |
7.16 |
7.51 |
||
|
resistanceB |
3.85 |
0.92 |
3.97 |
0.96 |
||
|
timeliness B |
2.15 |
0.97 |
2.64 |
0.99 |
||
|
Pre-emergentB |
2.88 |
1.23 |
2.14 |
1.02 |
||
A - % of growers
B - 1= a lot lower; 2= slightly lower; 3= same; 4= slightly higher; 5= a lot
higher
Gray et al. (1996) found that the declining price of glyphosate since its release from patent has been a significant determinant in the increasing profitability of no-till adoption in Canada’s Central Saskatchewan. Given that herbicides and diesel for tillage are substitutable inputs for weed control, the changes in price of three herbicides (glyphosate, a broad-spectrum knockdown herbicide; trifluralin, a selective pre-emergent herbicide; and diclofop, a selective post-emergent herbicide) relative to the change in price of diesel were included as exogenous time-dependent variables. The time paths of these variables are shown in Figure 1. The diesel price data was sourced from ABARE (2003) and represents the subsidised price due to the farm diesel rebate scheme. The herbicide price data was sourced from annual editions of Western Australia’s Department of Agriculture Farm Budget and was assumed be a representative price for all regions in the sample. It was expected that there would be a time-lag between price changes and growers’ operational reactions, so a three-year moving average is used to represent the annual price ratio of each herbicide to diesel.
Figure 1: Three-year moving average prices of glyphosate (GLY_DIES), trifluralin (TRF_DIES) and diclofop (FOP_DIES) relative to the price of diesel over two decades.

Duration Analysis has an extensive history of use in biometrics for analysing epidemiological problems and in engineering for failure testing of components, thus the use of terms such as ‘hazard rate’ and ‘survival time’. Lancaster’s (1972) study of the factors influencing spells of unemployment is thought to be the first use of DA in the social sciences. More recently, DA has been used in agricultural adoption studies (see Carletto et al. 1999; De Souza Filho et al. 1999; Fuglie and Kascak 2001 and Burton et al. 2003).
Duration Analysis relates to the investigation of time (T) to the occurrence of an event, which in this case is the adoption of no-till. Even though the earliest stated time of adoption of no-till in our sample was in 1964, very few growers (< 2%) had adopted prior to 1983. The availability of herbicide data was also restricted beyond 1980, so 1983 was used as the beginning of the time period for this study. Duration time, for the purpose of this study, was the period from when an individual grower started making management decisions on their farm, through to the time they adopted no-till, or in the case of non-adoption, through to end of the study period (i.e. 2003). To allow for the inclusion of exogenous time-dependent variables, 1983 was used as the entry date for growers making management decisions prior to 1983.
Assume that F(t)
denotes a function describing, as in Figure 2, the cumulative distribution
of adoption events (i.e. F(t) = Pr(T
£ t)), then the survival function S(t)
is the reverse of the cumulative distribution function of T:
S(t) = 1 – F(t)
(1)
which defines the probability of surviving (i.e. not adopting) beyond time t.
The hazard function (h(t)) specifies rate at which adoption occurs through time:

(2)
The hazard function (h(t)) is sometimes also referred to as the baseline hazard, as it specifies the hazard which is independent of individual characteristics. The baseline hazard can be semiparametric, as in the Cox proportional hazards model (see Cox, 1972), where covariates shift the baseline hazard function; or parametric, wherein a functional form defines the baseline hazard for all individuals over the whole period. The benefit of a semiparametric model is that no (potentially incorrect) assumptions need to be made about the shape of the hazard function. However, parametric models are more efficient in their use of information provided by the data because, unlike semiparametric methods, they do not ignore what happens to covariates in time periods where no failures (adoptions) occur. Functional forms that have been used for parametric duration models include the logistic, Weibull, exponential, lognormal, log logistic and Gompertz probability distributions (see Kiefer, 1988; Cleves et al., 2002).
The exponential model assumes
h0(t) = exp(β) (3)
where the baseline hazard (β) is the only ancillary parameter to be estimated and assumed to be constant over time. The Weibull model estimates two ancillary parameters, β and p, and assumes the form
h0(t) = ptp-1exp(β) (4)
which decomposes to the exponential model when p = 1. The Weibull model is suitable for modelling adoption where the hazard is duration dependent.
A proportional hazards model with a constant baseline hazard was specified in this study, with the relationship between the hazard rate h(t) and explanatory variables Xt defined as
h(t) = h0 exp(β’Xt) (5)
where h0 is the baseline hazard. The explanatory variables are both cross-sectional and time-dependent. Two reasons for using this specification are that 1) changes in the values of the exogenous time-dependent variables are the same for all farms, thus imparting a component of duration dependence on all individual adoption probabilities, and 2) the time of no-till awareness variable is likely to capture most of the underlying time-dependent process of innovation diffusion.
The Stata (version 8) statistical package was used to carry out the estimations (see StataCorp, 2003).
The cumulative proportion of growers adopting no-till between 1964 and 2003, based on stated time of first adoption is shown in Figure 2.
Figure 2. Cumulative distribution of no-till adoption

The results from two alternative specifications of Equation (5) are shown in Table 4. The difference between the log-likelihood values for Weibull and exponential specifications (0.81) of Model 1, being below the critical chi-squared value of 3.84, was not significant. This indicates that adding a time-varying component to the baseline hazard by using a Weibull specification would not add any extra explanatory power to the model. The VICTORIA dummy variable was retained in the reduced model to complement the other region-specifying variables. The fully specified model lost 5% of the observations due to missing values for some of the variables (predominantly CHANGECOST). Many respondents, having not considered adopting no-till, had insufficient knowledge to provide an expected cost of changing over their seeding machinery to a no-till configuration.
Table 4. Estimates of full and restricted specifications for exponential duration models of no-till adoption
|
|
Model 1 |
|
Model 2a |
|
Model 2b |
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|
|
Hazard Ratio |
P>|z| |
|
Hazard Ratio |
P>|z| |
|
Hazard Ratio |
P>|z| |
|
|
SOUTH AUSTRALIA |
0.391 |
0.000 |
|
0.432 |
0.000 |
|
0.398 |
0.000 |
|
|
NEW SOUTH WALES |
0.421 |
0.012 |
|
0.449 |
0.015 |
|
0.406 |
0.004 |
|
|
VICTORIA |
0.904 |
0.709 |
|
1.049 |
0.842 |
|
1.057 |
0.811 |
|
|
RAINFALL |
1.003 |
0.006 |
|
1.003 |
0.008 |
|
1.004 |
0.001 |
|
|
CONSULTANT |
1.329 |
0.086 |
|
1.348 |
0.062 |
|
1.304 |
0.085 |
|
|
EXTENSION |
1.045 |
0.004 |
|
1.053 |
0.000 |
|
1.053 |
0.000 |
|
|
TIMELINESS |
0.814 |
0.010 |
|
0.802 |
0.005 |
|
0.834 |
0.015 |
|
|
PRE-EMERGENT |
1.139 |
0.038 |
|
1.148 |
0.024 |
|
1.159 |
0.012 |
|
|
GLYPHOSATEt |
0.246 |
0.040 |
|
0.252 |
0.021 |
|
0.187 |
0.004 |
|
|
NTAWAREt |
7.695 |
0.000 |
|
8.095 |
0.000 |
|
7.002 |
0.000 |
|
|
TRIFLURALINt |
1.555 |
0.586 |
|
- |
- |
|
- |
- |
|
|
DICLOFOPt |
0.661 |
0.895 |
|
- |
- |
|
- |
- |
|
|
CROP%t |
1.378 |
0.381 |
|
- |
- |
|
- |
- |
|
|
AREAt |
1.000 |
0.527 |
|
- |
- |
|
- |
- |
|
|
FARMGROUPt |
1.276 |
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