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Farmer’s decision parameters on diversification and supply
responses to
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Dryland salinity has resulted from clearing of deep-rooted plant species for farming. Farm diversification with trees and perennial pasture species may therefore reverse this problem. However, current opinion is that existing land uses are close to the economic optimum and therefore changes involving perennials may not be viewed by farmers as desirable. Socially there is a trade-off between the opportunity cost of changing existing land use with perennials and current salinity reduction targets. In this context, this paper investigates the economic implications of key decision parameters of farmers on their response to achieve farm diversification involving farming with perennials. This research aims to model diversification and supply responses of, in particular, wheat across the Australian wheat-sheep zone, and between the Southern and Western regions of the GRDC agroecological zones.
Keywords: diversification, supply response, farmer’s decision parameters, wheat, dryland salinity.
Dryland salinity is regarded as the most serious environmental and resource management problem in Australian agriculture in recent decades (Graham et al 2004). It is expected that large-scale preventive impacts on salinity could be achieved by changes to the management of traditional annual crops and pastures. This strategy implies that the large proportion of land in threatened catchments would need to be revegetated with deep-rooted perennial plants such as shrubs, perennial pastures or trees. However, attempts to prevent salinity by revegetation are complicated by the impacts of perennial vegetation on surface water flows and the possibility of negative responses from farmers. This situation creates some difficulties in devising efficient policies to promote prevention of salinisation by revegetation with perennials (Pannell 2001).
It has been assumed that, even if perennials are not directly profitable in terms of their harvested products and farming system benefits, their ability to prevent salinity would make them financially attractive in the long term. But some evidence suggests that the financial benefits to farmers from salinity prevention are unlikely to be high, particularly, with respect to the short-term opportunity cost of traditional (annual) crop or pasture production on the land in question. Even though the agricultural benefits are not deemed to be promising in the short run there are potential non-agricultural benefits (both private and social) associated with reducing saline discharges by revegetation with perennials. Examples of these benefits include carbon sequestration, bio-diversity protection, shade and shelter, weed control, reductions in soil erosion, diversification of farm income, regional development and employment creation (with respect to wood processing industries in rural areas) and aesthetic and amenity values that are related to the preservation of land and water salinisation (Pannell 2001).
Farm diversification, in particular, has benefited in several ways because of the multifunctional aspects of agriculture, such as improving land and water quality and providing environmental amenities. There are ample examples and case studies in the literature on the positive aspects of diversification in agriculture, as well as the resulting supply responses of farmers. For instance, it has been suggested that farm specialisation (or conventional farming systems in agriculture) might not be an environmentally desirable practice due to negative externalities such as soil and water pollution, as has been found for some farming systems in Norwegian agriculture (Culas 2003). Further, any changes leading to farm diversification from farm specialisation also have economic implications for supply responses with respect to relative prices (Vatn 1989). There are also other factors, such as farm size and socioeconomic factors, which influence diversification choices in farming (Pope and Prescott 1980).
Only a few studies have employed econometric models to analyse aspects of farm diversification and/or supply responses of farmers in agriculture with respect to the parameters above. For example, Sanderson et al (1980) cited a few such studies with respect to supply responses of Australian wheat growers. Although results from analyses of those econometric models could give some useful information on how supply responses are influenced by (or related to) key economic decision parameters of farmers, an extended version of such econometric models can further help to project the economic impacts of diversification and supply responses to dryland salinity and the current nature of farming systems. Such an analysis can help farmers to improve decision making under varying agronomic, environmental and technological conditions.
Thus the objective of this paper is to investigate the economic implications of key decision parameters of farmers on diversification and supply responses to dryland salinity. This investigation proposes a model of supply responses of a major annual crop such as wheat for activities involving perennial pasture, mainly wool (or beef-meat) production in the wheat-sheep zone of Australia. This analysis will also compare the regional differences between the Southern and Western regions of the GRDC agroecological zones to differentiate the impact of dryland salinity in wheat production.
The paper is organised as follows. Section 2 discusses a farm management model of diversification. Section 3 details the model specification for supply responses. Section 4 briefs data and methodology. Section 5 concludes with implications and the future direction of this study.
Farming systems are often characterised by positive interactions or complementarities between the enterprises, and that any external costs of devoting a given area to wheat (in terms of negative externalities such as salinity) can be off-set over time by having perennial pastures and trees in the rest of the farmland for sheep (or cattle) production [1]. However, when such an off-set is negative, it has an impact on the expected economic returns from the wheat. This negative impact may reflect through low wheat yield and gross margins, or poor quality of wheat and low prices. Thus diversification in farm activities and the supply responses to area could be explained with these key economic variables.
A farm management model is considered where a farmer allocates homogenous farmland to two alternative enterprises, A and B (Fraser 1990, cited in Kingwell 2004). It is assumed that A is an activity based on an annual crop such as wheat and B is another activity based on perennial pasture and trees such as wool (or, it could be beef-meat). These enterprises generate returns without interaction and with economies of size absent.
Expected farm returns E(Π) are:
E(Π) = E (θ a + (1- θ) b - g (θ) + f (θ)
where:
a = uncertain net return from wheat
b = certain net return from wool, such that E(a) > b
θ = the proportion of farmland allocated to wheat
g (θ) = the internalised cost of the negative externality from wheat (e.g. salinity)
f (θ) = an incremental net return from complementarities with perennial pastures
The farmer’s objective is to choose the optimal level of θ that maximises expected profit. The first-order condition for the optimal level of θ is:
Max E(Π): a - b + f '(θ) - g '(θ) = 0
where:
f '(θ) < 0, g '(θ) > 0 and a-b = g '(θ) - f '(θ)
From the first-order condition, the optimal level of θ can be expressed as a function of the net return for wheat and for wool:
θ* = f ( a - g '(θ) + f '(θ), b)
For this functional relationship, an optimal (desired) level of land allocated to wheat in time t can be studied as an area response (supply) function as derived in Section 3. Figure 1 illustrates possible farm diversification decisions from joint inclusion of negative externalities and enterprise complementarities for enterprises A and B.

Figure 1:
Representation of impacts on diversification of internalising negative
externalities and enterprise complementarities (source: Kingwell
2004)
where:
A = enterprise based on annual crop (wheat)
B = enterprise based on perennial pastures and trees (wool or beef-meat)
W= optimal with all land allocated to enterprise A
Y = optimal with all land allocated to enterprise B
G = Negative externalities (e.g. salinity)
Y2 = optimal with negative externalities
X = optimal with complementarities
Z = optimal with complementarities and negative externalities
The general model takes the following form:
(1) Yt* = c + dXt + mRt + eZt + vt
where Yt* is the desired wheat area in period t (equivalent to the proportion of land θt* allocated to wheat in the explanation above). Xt is the expected relative value of the net returns from wheat and wool. The other possible explanatory variables for the level of land allocation are Rt and Zt, where Rt is a vector of net returns from other activities and Zt is a set of exogenous shifters. c, d, m and e are parameters, and an error term is defined as vt with the classical properties.
To allow for the possibility of adjustment lags, a Nerlovian partial adjustment model is specified,
(2) Yt - Yt -1 = γ (Yt* - Yt -1), 0≤γ≥1,
where γ is the coefficient of adjustment.
The expected relative value of the net returns Xt is defined in (3) by the parameters following the function θ * = f ( a - g '(θ) + f '(θ), b)
(3) Xt = ( a - g '(θ) + f '(θ)t / bt)
Substituting (1) and (3) into (2), and rearranging gives the model
(4) Yt =cγ + dγ Xt + mγ Rt + eγ Zt + (1-γ )Yt -1 + γ vt,
=β0 + β1 Xt + β2 Rt + β3 Zt + β4 Yt -1 + ut.
Thus, in (4) testing the null hypothesis that β4 = 0, which means γ = 1.0, can be used to assess a significant adjustment lag.
In (4) the expected relative value of the net returns (Xt) can be measured as a ratio of the gross returns for the enterprises wheat (A) and wool (B)
(5) Xt = (PtA*YtA - ∑Øn tA*Cn t - g '(θ) t+ f '(θ) t )/( PtB* YtB - ∑Øn tB*Cn t)
where YtA and YtB are, respectively, production of wheat and wool. PtA and PtB are expected prices of wheat and wool. C is the cost of inputs n in period t, and Øn tA and Øn tB are respectively the coefficients which denote use of the inputs n in period t in the production of wheat and wool.
However, the value of the variables g '(θ) and f '(θ) can not be known in practice, and also it is difficult to measure accurately some of the other parameters involved in estimating Xt.
Studies of models of supply responses suggest employing expected relative prices instead of expected relative net returns (for example, Sadoulet et al 1995; Sanderson et al 1980). In which case the variables Xt and Rt can be employed as expected relative prices.
Although it is difficult to determine the actual impact of g '(θ) and f '(θ) on the net returns of wheat, the model (4) could be analysed across regions of the wheat-sheep zone for comparison. Thus the model estimates across regions along with some qualitative information such as historical perspectives on impact of salinity on agriculture, farming systems development and structural changes in agriculture could shed light on discussing the model estimates for policy options across regions.
A statistical model could thus be defined as follows:
(6) Yit = βi + β1 Xit + β2 Rit + β3 Zit + β4 Yi t -1 + β5T + uit for i = 1,….,N.
where T is a time-trend as a proxy for technological development over the period.
Following the model (6), the estimated coefficients β1, β2, β3, β4, and β5 can be interpreted both statistically and economically as the respective farmers’ decision parameters for diversification and supply responses.
Panel data of a quantitative and qualitative nature from various sources are being sought to populate the model. Production, land area and financial data are available from ABARE on an average farm basis for various regions over the period 1990 - 2004. For validation purposes it would be useful to test the model parameters with individual farm-level data focusing on a particular area in a region.
Econometric estimation with fixed-effects and random-effects formulation could further help to evaluate the impact of variables (g '(θ) + f '(θ)) in the model because of the location and time-related effects that can be fixed (separated).
The proportion of farm area allocated to cropping relative to livestock, in particular wool production, has increased by the mixed crop-livestock producers in the Australia’s wheat-sheep zone. Although prevailing economic conditions, which favoured wheat for more than a decade, influenced this trend, farmers have rarely switched completely out of livestock production in the regions. Historically the enterprise diversity within the wheat-sheep zone has been for farmers growing a variety of crop species while reducing their sheep flocks or boosting their cattle numbers.
Recent economic conditions driven by the demand for meat and rising costs of cropping have shifted to favour livestock production rather than cropping. Factors such as salinity, water scarcity and weed and pest control could further influence the shift. A shift in a farm’s enterprise mix ultimately depend on the differences in profit due to the adjustment costs and the investment decisions related to farm infrastructure (Ewing et al 2004).
The farming systems in the wheat-sheep zone also depend on various climatic, biological, economic and social influences, most of which will be taken into consideration in this study for comparison across the zone and between the regions for policy analysis. Future research from this study will be directed towards econometric models of Australian broadacre agriculture, with a focus on interactions between the wheat, beef-meat, sheep-meat, wool and grains industries and applications to the analysis of agricultural policies.
Culas, R. J (2003): “Farm
Diversification and Environmental Management: Panel Data Evidence from
Norwegian Agriculture”, Proceedings of the Econometric Society of
Australasia Meeting (ESAM 2003), University of New South Wales, Sydney, 9
-11 July 2003, p. 34.
Ewing, M. A., Flugge, F. and Kingwell, R (2004): “The Benefits and
Challenges of Crop-Livestock Integration in Australian Agriculture”, Paper
presented at the Fourth International Crop Science Congress, Brisbane,
Queensland, 26th September - 1st October 2004.
Graham, T. W., Pannell, D.J. and White, B. (eds) (2004): “Dryland Salinity:
Economic Issues at Farm, Catchment and Policy Levels”, Cooperative Research
Centre for Plant-Based Management of Dryland Salinity, University of Western
Australia, Perth.
Kingwell, R (2004): “Internalizing Agriculture’s External Costs: Farm
Diversification Issues”, 48th Annual Conference of the Australian
Agricultural and Resource Economics Society, 11th - 13th February 2004,
Melbourne.
http://www.aares.info/
Pannell, D (2001). “Dryland Salinity: Inevitable, Inequitable, Intractable?
Presidential Address”, 45th Annual Conference of the Australian Agricultural
and Resource Economics Society, 23-25 January 2001, Adelaide. p. 17.
Pope, R. D and Prescott, R (1980): “Diversification in Relation to Farm Size
and Other Socioeconomic Characteristics”, American Journal of Agricultural
Economics, Vol. 62, Number 3, August 1980.
Sadoulet, E and de Janvry, A (1995): “Quantitative Development Policy
Analysis”, John Hopkins University Press.
Sanderson, B. A., Quilkey, J. J. and Freebairn, J. W (1980): “Supply
Response of Australian Wheat Growers”, The Australian Journal of
Agricultural Economics, Vol. 24, No. 2. August 1980.
Vatn, A (1989): “Agricultural Policy and Regional Specialisation, The
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[1] Other examples include nitrogen supplied by leguminous pastures to following grain crops or windbreak benefits of agro-forestry or disease and pest cycle breaks bestowed by rotation phases.
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Citation: Culas, R.J. (2006) Farmer’s decision parameters on diversification and supply responses to dryland salinity - modelling across the Australian wheat-sheep zone, Contributed paper presented at the 50th Annual Conference of the Australian Agricultural and Resource Economics Society, Manly Pacific Sydney, NSW, 8–10 February 2006. http://www.crcsalinity.com.au/newsletter/sea/articles/SEA_2103.html
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