The study was conducted in the South East, Nigeria in 2019. The region had a significant concentration of poultry (World Bank, 2017). A multistage sampling technique was used to select 225 poultry farmers for the study. The sampling frame was made available from the Poultry Association of Nigeria (PAN). However, after data cleaning due to protest response, failure to complete the questionnaire, among others, a total of 190 questionnaire from farmers were used for the data analysis. Data for the study were collected from primary sources using a set of questionnaire, focus group discussions and interview schedules. Data were analyzed with descriptive statistics, conditional logit models and a choice experiment model. The study adopted
Dan, Guzhen, Ning and Zhang (2016) choice experiment model and theory.
Description of variables
The choice experiment attributes, description, levels were coded and presented in Table 1.
Choice task design
The choice experiment (CE) was designed with the assumption that the observable utility function would follow a strictly additive form. The model was specified so that the probability of choosing a particular livestock pollution control policy was a function of the attributes and the alternative specific constant (ASC). Based on the attribute and level settings, 864 which is 3×4×2×4×3×3 virtual policy profiles was constructed from the levels of the different attributes of different levels of poultry control policies (Table 1). The virtual profile represented the full factorial experiment. However, it was unrealistic for farmers to compare and select from 745,632 (864×863) tasks. Respondents will generally be fatigued after comparing more than 15-20 profiles
(Wu et al., 2014). Experimental design methods and R software version 3.6.0 were used to structure the presentation of the levels of the six attributes in the choice sets (
Louviere, Hensher and Swait, 2000). An orthogonalization procedure was employed, which recovered only the main effects and gave 24 pair-wise combinations. Therefore, each randomly selected farmer was presented with six choice cards. Farmers were required to indicate their most preferred choice n on each card, which contained options A, B and C (baseline) options (Table 2). Options A and B represented the expected situation with different livestock pollution control policies that will increase the manure handling rate; the baseline option represented the baseline alternative situation. The baseline option was included in the choice sets in order to obtain welfare measures that are consistent with demand theory (
Bennett and Blamey, 2001). Farmers were required to indicate their most preferred choice on each card, which contained options A, B and C (baseline) options. The alternative specific Constants (ASC) equaled 1 when neither option A or B was chosen and 0 when respondents chose C. The effects of socio-economic variables on choice were captured by the interaction of socio-economic variables with the ASC variable.
Conditional logit model (CLM)
Suppose that farmer ‘i’ chooses policy profile ‘m’ among the ‘n’ subset in task C. We can define an underlying latent variable U*
im which denotes the value function associated with farmer i choosing option m. Under a fixed budget constraint, farmer ‘i’ will choose alternative ‘m’ so long as U*
im > U*
in, for any n‘“m. The researcher does not directly observe U*
im, but instead directly observes U
im, where:
Uim = 1 if U*im = max (U*i1; U*i2;….;U*in)
0 otherwise
According to the random utility theory, the utility associated with a choice is comprised of a deterministic component V
im, which comprises of factors observable by the researcher and an error component e
im, which is independent of the deterministic part and follows a predetermined distribution. This error component implies that predictions cannot be made with certainty. Thus, the utility U*
im associated with farmer ‘i’ whose choice is alternative ‘m’ is given by:
U*im = V*im + εim
The choice of livestock pollution control policy profile m by farmer i is made based on U*im >U*in, for any n¹m. Thus, the probability for farmer i in choosing livestock pollution control policy Profile m can be expressed as:
Pim = Prob (Vim + εim >Vin + εin; n ∈ C, m ¹n) = Prob (Vin + εim > Vim - Vin; n ∈ C, m ¹n)
According to Maddala (1986), if random component of utility ε
im is assumed following a Gumbel (extreme value type I) distribution with cumulative distribution function,
F(εim) = exp[-exp(-εim)]
then, under the assumption that e
i1,e
i2, ...,e
im are identically and independently distributed and follow the Gumbel distribution with scale parameter, the probability of any particular poultry pollution control policy profile m being chosen can be expressed in terms of a logistic distribution. The equation can be estimated with a Conditional Logit Model (CLM) (
Greene, 2011;
Mcfadden, 1974), which takes the general form:
The conditional indirect utility function generally estimated is:
X
mk = Technical support; Pollution fee; Technical standard; Biogas subsidy; Manure market.
S
ih = Gender; Age; Education; Environmental condition assessment; Household size.
Where
ASC = An alternative specific constant, which captures the effects on utility of any attributes not included in choice specific poultry pollution control policy attributes.
β
mhr = The co-efficient of outcome variable MHRim (Manure handling rate).
X
Mk = The kth characteristic value of the choice m.
β
k = The parameter allied to the kth characteristic.
S
ih = Socio-economic characteristics vector of poultry farmer i and ah is the vector of the coefficients related to the poultry farmer socio-economic characteristics.