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. 2026 Oct 7;21(10):e0359944. doi: 10.1371/journal.pone.0359944

Combining stated and revealed preferences to define smallholder cattle breeding objectives in northwest Ethiopia: Evidence for breeding program design

Abiy Shenkut Abebe 1,*, Belete Yazie 1, Melaku Menale 1
Editor: Julio Cesar de Souza2
PMCID: PMC13645039  PMID: 42842560

Abstract

Identifying high-priority traits is essential for designing effective breeding programs in smallholder systems. This study employed both stated and revealed preference methods to identify priority traits for cattle breeding objectives among smallholders in northwest Ethiopia. Stated preferences were assessed using a discrete choice experiment (DCE), while revealed preferences were examined through a hedonic pricing approach. The two datasets were analyzed separately and their results compared to provide complementary insights. Data were collected between January and April 2024: 384 farmers participated in the choice survey across three districts (Farta = 91, Simada = 133, and Lay Gayint = 160), and 200 cattle transactions were recorded in three marketplaces—Debre Tabor, Simada, and Nefas Mewucha. Choice data were analyzed with a mixed logit model, and market data with a log-linear ordinary least squares regression. Results showed both convergence and divergence in trait preferences between methods. Farmers’ strong preference for large body size in the DCE (p < 0.001) aligned with the significant positive effects of body condition and live body weight on market price (p < 0.001). However, traits not visually observable at sale—such as milk yield, docility, disease tolerance, libido, calving interval, and calf vigor—were highly valued in stated preferences but not captured in market prices due to observability constraints and information asymmetry. Conversely, the hedonic model revealed market structure effects not captured by the DCE, including higher prices paid by traders and premiums for slaughter animals. These findings demonstrate that employing both methods provides a more comprehensive evidence base for defining breeding objectives—capturing both invisible livelihood-critical traits valued by farmers and market dynamics that shape real-world prices. The identified priority traits provide a foundation for subsequent research to estimate genetic parameters and economic weights to design a breeding program.

Introduction

Cattle are the primary livestock species in Ethiopia, supporting the livelihoods of millions of smallholder farmers. They provide essential draft power for rural communities and are valued for their meat, milk, organic fertilizer, and cash income [1–3]. With an estimated 70.9 million head, Ethiopia has the largest cattle population in Africa and ranks fifth worldwide [4]. Indigenous breeds constitute 97.4% of the national herd, while crossbreds and exotic breeds account for the remainder. Although the cattle population has grown significantly over the past decade [4], the productivity of indigenous cattle remains low. Given that livestock—particularly cattle—are major contributors to agricultural greenhouse gas emissions, maintaining fewer but more productive animals is critical for supporting smallholder livelihoods, fostering national economic growth, and mitigating climate change.

To enhance productivity, crossbreeding with exotic breeds such as Holstein Friesian and Jersey has been practiced for decades [5,6]. Yet, despite these efforts, performance remains limited. For instance, during a typical seven-month lactation period, cows produce an average of only 1.5 liters of milk per day [7]. Consequently, annual per capita milk consumption in Ethiopia is about 19 liters—far lower than in neighboring Uganda (50 liters) and Kenya (90 liters) [8], and well below the World Health Organization’s recommended intake of 200 liters per year. In addition to low milk yield, indigenous cattle face reproductive challenges, including extended days open, late age at first calving, long calving intervals, and short lactation lengths [7,9].

Despite these constraints, Ethiopian indigenous cattle exhibit considerable within-breed genetic diversity [10,11], highlighting strong potential for genetic improvement through selective breeding. They are also well adapted to the low-input production systems typical of northwest Ethiopia [12]. However, systematic selective breeding programs that leverage this adaptive potential and genetic diversity are virtually absent, particularly in the northwest. A critical step in designing such programs is defining the breeding objective—identifying the specific traits to be improved through selection [13,14]. Yet, up-to-date information on smallholder breeding objectives for indigenous cattle in northwest Ethiopia is lacking. Moreover, given Ethiopia’s diverse agro-ecologies, community groups, and livestock production systems, smallholders’ preferences for cattle traits are likely to vary across contexts.

At the smallholder level, participatory methods such as discrete choice experiments (DCEs) and hedonic pricing have increasingly been used to identify livestock trait preferences in Ethiopia [12,15,16] and elsewhere [17,18]. A DCE is a stated preference method in which individuals reveal preferences through hypothetical choice sets, while hedonic pricing is a revealed preference method that infers preferences from actual market transactions.

Both approaches have strengths and limitations [19,20]. DCEs are prone to hypothetical bias, arising from inconsistencies between stated and actual behavior, whereas hedonic pricing often suffers from endogeneity bias due to omitted variables and limited purchasing choices. Importantly, the limitations of one method are not necessarily constraints for the other. This complementarity suggests that combining both methods can harness their respective strengths while mitigating weaknesses. Accordingly, the present study employed both DCE and hedonic pricing to define smallholder cattle breeding objectives in northwest Ethiopia. The findings aim to inform the design of a conservation-based breeding program for indigenous cattle.

Materials and methods

Ethics approval statement

This study was reviewed and approved by the Ethical Review Committee of Debre Tabor University (reference number: Ref: DTU/CAES/RCC/08/115/24). The study did not involve any experimental or clinical trial on live animals. The survey and data handling followed the required ethical guidelines and were carried out from January 5 to April 30/2024. Participants were first informed about the purpose of the study, after which informed consent was obtained from all participants prior to the interview. Participation was entirely voluntary, and all participants were 18 years of age or older. No sensitive information (health status, religious beliefs, political views, or illegal behavior) was collected, and all data were anonymized. Morphometric data (heart girth and body length) were collected non-invasively from 200 traded cattle using a flexible measuring tape in an open market, ensuring animal welfare and causing no stress.

Description of the study areas

This study was conducted in the Farta, Simada, and Lay Gayint districts of the South Gondar Zone, located in northwest Ethiopia. These districts were selected because they host relatively large cattle populations compared to other districts in the zone and represent the natural habitat of the Simada cattle breed. The study aimed to investigate smallholders’ trait preferences to generate inputs for designing a conservation-based genetic improvement program for this breed.

Agricultural practices in the study districts are characterized by mixed crop–livestock farming systems, with cattle serving as the principal source of draft power for cropland preparation [12]. Agro-ecologically, Farta and Lay Gayint are predominantly highland areas, while Simada is mainly mid-altitude. According to the Central Statistical Agency of Ethiopia (CSA) [21], the South Gondar Zone has approximately 1.9 million cattle, with the three study districts collectively accounting for about one-third of this population. Climatic data—including average daily minimum and maximum temperatures and annual rainfall—for the South Gondar Zone and the individual study districts are summarized in Table 1.

Table 1. Climate variables in the study areas.

Climate variables# South Gondar zone Study districts

Sources
Farta Simada Lay Gayint
Average annual rainfall (mm) 1307 1552 1144 1132 [22]
Mean annual minimum temperature (°C) 13.76 11.7 14 10.1

[23–25]
Mean annual maximum temperature (°C) 25.1 24 25 21.6

#Rainfall data from 2020/01/01 to 2025/01/01 were taken from CHIRPS-daily, while temperature data from 2010/05/01 to 2016/05/01 were generated from CHIRTS-daily.

Study approach

This study employed both DCE and hedonic pricing methods to examine smallholder preferences for indigenous cattle traits. The target population for both methods was smallholder farmers in the selected districts. Choice data for the DCE were collected through a cross-sectional survey administered to randomly selected farmers, while transaction data for the hedonic pricing method were obtained by observing cattle sales in the major markets of the study districts. Although both methods focused on the same target population, the specific respondents and data sources differed. Consequently, the datasets were analyzed separately and independently rather than merged, and their results were subsequently compared and integrated to provide complementary insights. This study therefore represents a comparative and complementary integration of evidence, not a statistical integration of the two datasets.

Experimental design and data collection

Stated preference data

A key step in designing a DCE is the identification of relevant attributes and their levels [12,26]. For this study, appropriate cattle attributes were identified through a combination of methods, including Participatory Rural Appraisal (PRA) and consultations with researchers and livestock experts. In each study district, PRA was conducted in the form of focus group discussions with key informants and livestock experts. The key informants were experienced farmers with in-depth knowledge of the socio-economic and cultural values of indigenous cattle, identified with the assistance of district livestock experts.

During the discussions, various cattle attributes were listed and prioritized using a pairwise ranking method. The six highest-ranking attributes for bulls and the six for cows were selected for the choice design. In addition, market price was included as a seventh attribute for both bulls and cows, given its importance in determining farmers’ marginal willingness to pay (MWTP) for genetic improvements in other traits. The list of attributes, along with their levels and descriptions, is presented in Table 2.

Table 2. Bull and cow attributes with their descriptions and effect coded levels.
Attributes Attribute descriptions Levels with effect-coded
Body size Physical appearances including the height and body length of a bull or a cow Large = 1

Small = −1
Draft power strength$ Bull’s endurance for plowing cropland per day Strong = 1, if able to plow for 8 hrs.

Weak = −1, if plow for 4 hrs., or less
Disease resistance The frequency of visiting a veterinary clinic per year due to illness of a bull or a cow Tolerant = 1, if never gets illness

Susceptible = −1, if gets ill at least once per year
Temperament Behavioral reactions of a bull or a cow observed during handling Aggressive = 1

Docile = −1
Color$ The type of coat color predominantly observed on the body of a bull or a cow Plain = 1

Mixed = −1


Libido$
A bull's willingness and eagerness to attempt mounting and successfully service a cow in heat Active  = 1

In-active = −1


Milk yield#


Milk yield of a cow per day in liter&

High = 1, if daily milk yield is greater than 5 litters

Low = −1, if daily milk yield is less than 2 litters
Calf vigor# Strength of newborn calf to quickly stand and suckle enough colostrum to achieve the protection of passive immunity Strong  = 1, if sit up within 15 minute after birth and stand and suckle enough colostrum within four hours without assistance

Weak = − 1, if it requires human assistance
Calving interval# The time between two successive calving in the same cow. Short = 1, if the interval is one year

Long = −1, if the interval is greater than one year
Purchasing price* Purchasing price of a four-year-old mature bull 50, 000 ETB

40,000 ETB

30,000 ETB
Purchasing price of a four-year-old mature cow in Ethiopian Birr (ETB) 40, 000 ETB

30,000 ETB

20,000 ETB

$ Bull attributes only, #cow attributes only and unmarked attributes appeared in both bull and cow choice sets

*Between January and April 2024, the average exchange rate was ~ 56.35 ETB per 1 USD.

& Milk yield thresholds based on Haile et al. [5] for crossbreds (>5 L/day) and Mekuriaw & Harris-Coble [7] for indigenous cattle (<2 L/day).

Employing a full factorial design consisting of six attributes at two levels and one attribute at three levels (26 X 31) yielded 192 possible choice profiles. However, presenting all combinations was impractical for smallholder respondents. Therefore, a fractional factorial design was used to reduce the number of alternatives. Sixteen choice alternatives, categorized into four blocks, were generated using JMP statistical discovery software [27]. The design achieved a D-efficiency score of 98.85, indicating high efficiency in estimating the effects of the study variables. To avoid forced choices, an opt-out option was included in each block. Thus, each block contained five alternatives for both bulls and cows, with respondents required to make a single choice decision per block.

Pictures were used to illustrate attribute levels for both bulls and cows. A sample choice card for a bull is presented in Fig 1. The choice survey was conducted between January and April 2024 by trained enumerators under close supervision of researchers. A total of 384 smallholder farmers randomly selected from the three districts (Farta = 91, Simada = 133, Lay Gayint = 160) participated. Farmers were first briefed on the study objectives and given sufficient time to understand the hypothetical choice alternatives. Choice cards from block one were introduced first, with participants proceeding sequentially through the remaining three blocks after selecting the most preferred alternative in each preceding task. Although an opt-out option was available, none of the participants selected it, suggesting that the presented alternatives were plausible and realistic.

Fig 1. A sample choice card for a bull, presented to respondents.

Fig 1

The zero selection rate for the opt-out alternative, while uncommon in consumer-market choice experiments, is both behaviorally rational and methodologically documented within smallholder farming systems. For instance, Abebe et al. [12] reported an opt-out frequency below 0.5% for sheep traits, while Kassie et al. [28] observed a 1.4% opt-out rate for indigenous cow traits in Ethiopia. Because the explicit goal of the choice task was to define the breeding objective, the opt-out alternative was framed to farmers as: “no genetic improvement or trait modification is needed for your herd relative to the presented options.” Given the subsistence constraints of the crop-livestock production system, selecting the status quo was viewed as unviable by the respondents, illustrating how local context dictates choice behavior. Consequently, due to this complete lack of statistical variation, the opt-out alternative was excluded from the final econometric estimation matrix to ensure model convergence.

Revealed preference data

Cattle transaction data were collected between January and April 2024 from three major marketplaces—Debre Tabor, Simada, and Nefas Mewucha—which represent the Farta, Simada, and Lay Gayint districts, respectively. In Ethiopia, the absence of a standardized livestock marketing system means that prices are determined through mutual agreement between sellers and buyers. Under such conditions, transaction prices are expected to be influenced by multiple factors.

To identify cattle price determinants, data were collected on buyers’ characteristics, purchasing purpose, and several observable cattle attributes, including sale price (see Table 3). These data were recorded only after the seller and buyer had reached full agreement, without their prior knowledge of the data collection, to avoid influencing negotiations. During data collection, cattle age was determined using dentition, and only animals with at least one pair of well-developed permanent incisors were included. In total, market data for 200 cattle transactions were collected. Of these, 56 transactions were observed in the Simada market, 69 in Debre Tabor, and 75 in Nefas Mewucha. The market transaction dataset includes 10 categorical and one continuous variables, with 11 predictors in total. According to Harrell [29], the ratio of sample size (m) to number of predictors (p) should satisfy p < m/10 (liberal), p < m/15 (good average), or p < m/20 (conservative). With m = 200 and p = 11, our study satisfies both the liberal rule (11 < 20) and the good average rule (11 < 13.33), implying the sample size was reasonably adequate to estimate the effects of 11 predictors without introducing overfitting. Achieving a higher sample size is often difficult in field-based livestock market studies, especially in the study area where standardized livestock marketing is absent.

Table 3. Revealed preference variables description with mean and standard deviations.

Variable Variable description Mean Std. dev.
Price Price per head of marketed cattle (ETB) 38127.20 11140.90
Market place Live animal marketplace (Debre Tabor = base category)
 Nefas Mewucha 1 if Nefas Mewucha, 0 otherwise 0.38 0.49
 Simada 1 if Simada, 0 otherwise 0.28 0.45
Education Buyer education (elementary school = base category)
 Read and write 1 if the buyer can read & write, 0 otherwise 0.50 0.50
 Illiterate 1 if illiterate, 0 otherwise 0.21 0.40
Buyer type Buyer type (farmer = base category)
 Trader 1 if buyer type is trader, 0 otherwise 0.45 0.50
Purpose of buying Purpose of buying cattle (ploughing = base category
 Breeding 1 if the purpose is for breeding, 0 otherwise 0.15 0.35
 Resell 1 if the purpose is for resell, 0 otherwise 0.30 0.46
 Slaughter 1 if the purpose is for slaughter, 0 otherwise 0.31 0.46
Horn status Horn status of the cattle (polled = base category)
 Horned 1 if a cattle is horned, 0 otherwise 0.87 0.34
Sex of the cattle Sex of marketed cattle (female = base category)
 Male 1 if the sex of the cattle is male, 0 otherwise 0.79 0.41
Breed of cattle Cattle breed (crossbred  = base category)
 Local 1 if local breed, 0 otherwise 0.77 0.43
Age of cattle* The dentition of marketed cattle (3PPI = base category)
 1PPI 1 if a marketed cattle has 1PPI, 0 otherwise 0.17 0.38
 2PPI 1 if a marketed cattle has 2PPI, 0 otherwise 0.30 0.46
 Full mouth 1 if a marketed cattle has 4PPI, 0 otherwise 0.19 0.39
Coat color Cattle coat color (mixed = base category)
 Brown 1 if the coat color is brown, 0 otherwise 0.23 0.42
 Black 1 if the coat color is black, 0 otherwise 0.43 0.50
Body condition# Body condition of cattle (moderate = base category)
 Good 1 if body condition is good, 0 otherwise 0.33 0.47
Live body weight$ Predicted live body weight in kg 308.03 95.80

*PPI – pair of permanent incisors, where 1PPI ~ 2 years-old, 2PPI ~ 3 years-old, 3PPI ~ 4 years-old and full mouth representing cattle with over 5 years of age).

# Body condition was scored as moderate if ribs are slightly visible with some fat under the skin, while it was considered as good if ribs and pin bones are not visible unless touched with pressure.

$ Live body weight (BW) was predicted using Schaeffer's formula:BW (kg)=(BL*HG2300)*0.4536, where BL is body length of the animal measured from point of shoulder to pin bone in inches and HG is the chest girth of the animal in inches.

Statistical modeling

Stated preference.

Choice data were analyzed using a mixed logit model implemented in the STATA software package [30]. The model is grounded in random utility theory, which posits that an individual’s choices can be modeled as a function of the attributes that define the available options [31]. According to this theory, selecting one option over others indicates that the chosen option provides higher utility [32]. In this study, smallholders are assumed to maximize their utility by selecting their most preferred alternatives for breeding bulls and cows.

The mixed logit model accounts for correlations among choices by incorporating random parameters [26]. A key advantage of this model is that it does not require the Independence of Irrelevant Alternatives (IIA) assumption, which is a limitation of the standard multinomial logit model. In the mixed logit framework, the utility (Uij) for smallholder i deriving from alternative j can be expressed by the following equation:

Uij= βiXij + γwij+ ϵij

Where βi are the random coefficients that vary over individuals, and Xij is a vector of alternative-specific variables, γ are fixed coefficients on wij, a vector of alternative-specific variables, and ϵij is a random error term that follows the Gumbel distribution.

The probability of choosing alternative j for respondent i is the standard logistic probability integrated over a density of random parameters,f(β|θ). Stated more explicitly, the choice probabilities of mixed logit model take the following form:

Pij= ∫Pij(βi)f(β)dβ

Where

Pij (βi)= eβiXij + γwij∑j=15eβiXij + γwij

The integral ∫…dβ indicates that the standard logistic probabilities are averaged over all possible values of β, weighted by the density of each β

Given that price was included as an attribute in the DCE, it was possible to compute MWTP for each characteristic. The MWTP estimates the amount smallholders are willing to pay for a one-unit improvement in a specific attribute of a bull or cow. The MWTP was calculated using the following formula:

MWTP= −1 X ( Coefficient of the attributeCoefficient of price)

To identify the key driver of smallholder preferences, we calculated the relative importance of the attributes from the MWTP. The relative importance for a specific attribute k was calculated as follows:

Relative importancek=(MWTPk∑MWTP for all attributes)*100

The MWTP is suitable for calculating relative importance because it converts utility coefficients into a common monetary scale, allowing direct comparison across attributes with different units. This approach was applied consistently to both the bull and cow models, ensuring that relative importance values are directly comparable.

Revealed preference

The relationship between observed cattle prices and various influencing factors was analyzed using a hedonic pricing model. This model is based on the premise that the price of a heterogeneous good, such as livestock, is a function of the utility derived from its intrinsic attributes and relevant external factors [33]. In the present study, the hedonic regression provides estimates of the implicit prices (marginal values) for each variable included in the model. The analysis employed the following log-linear functional form of the hedonic price function:

ln(Pricei)=β0+ β1(BodyWeighti)+∑k=2KβkDik+εi

Where ln(Pricei) is the natural logarithm of the observed price for cattle transaction i, β0 is the constant term, β1 is the coefficient for the continuous variable live body weight, βk are the coefficients to be estimated for the k – 1dummy (Dik), and Dik represents a set of categorical dummy variables presented in Table 3. For each categorical variable with m level, m−1 dummies are included in the model to avoid perfect multicollinearity. εi is the idiosyncratic error term, assumed to be independently and identically distributed.

Homoscedasticity of the error variance is a key assumption for the Ordinary Least Squares (OLS) regression used in the hedonic model. To test this, a Breusch-Pagan-Godfrey test was conducted. The results F(20, 179)=0.84, p=0.667 indicate that the null hypothesis of homoscedasticity cannot be rejected, confirming that the log-linear functional form of the model is appropriate and that heteroscedasticity is not a concern. Furthermore, the variance inflation factor (VIF) was examined to assess multicollinearity. The VIF values ranged from 1.3 to 3.1, with a mean of 1.8, attesting the absence of severe multicollinearity among the independent variables. Finally, a Ramsey Regression Equation Specification Error Test (RESET) was performed to check for potential model misspecification due to omitted variables. The results F(1, 178)=2.76, p=0.0.096  demonstrate that the effect of omitted variables is not statistically significant, supporting the adequacy of the specified model.

Results

Stated preferences for bull attributes

The marginal utility coefficients for bull attributes, estimated using the mixed logit model, are presented in Table 4. Body size and temperament were specified with random parameters, while all other attributes were modeled as fixed. This specification was guided by their contribution to overall model fit [34]. Attributes that contributed most to overall model fit—based on Log Likelihood changes—were specified as random parameters, while others were modeled as fixed. All evaluated bull attributes had a statistically significant influence on smallholder farmers’ preferences, though the magnitude of their part-worth utilities varied considerably.

Table 4. Mixed logit choice model estimates for breeding bull attributes.

Attributes Coefficient Std. error p-values MWTP* RI (%)#
Fixed parameters
1. Intercept base alternative
2. Intercept −0.696 0.496 0.161 – –
3. Intercept 0.038 0.354 0.914 – –
4. Intercept −0.318 0.377 0.399 – –
Draft power strength (strong) 0.350 0.033 0.000 9,346.9 13.0
Disease resistance (tolerant) 0.418 0.068 0.000 11,175.0 15.6
Body coat color (plain) 0.377 0.057 0.000 10,068.8 14.0
Libido (active) 0.269 0.101 0.008 7,185.8 10.0
Purchasing price −0.000037 0.000011 0.000 – –
Random parameters
Body size (large) 0.655 0.062 0.000 17,520.8 24.4
Temperament (docile) 0.613 0.144 0.000 16,384.1 22.9
Standard deviation of random parameters
Body size (large) 0.001 0.272 – – –
Temperament (docile) 0.010 0.358 – – –
Log likelihood −1483.87 – – – –
Number of observations 1536 – – – –
Total – – – – 100.0

*MWTP – Marginal willingness to pay in Ethiopian Birr (ETB)

#RI – Relative importance in percent

A large body size emerged as the most preferred bull attribute, with a part-worth utility of 0.655. Holding all other attributes constant, smallholders showed a significantly higher preference for large-sized bulls compared to small-sized ones (p < 0.001). Temperament was the second most preferred attribute, with docile bulls favored over aggressive ones (p < 0.001). Economically, body size and temperament were the strongest drivers of preference, together accounting for approximately 47.3% of the total decision-making weight, with individual relative importance scores of 24.4% and 22.9%, respectively. The MWTP estimates further highlight the economic value of these traits. Smallholders were willing to pay an additional 17,520.8 ETB for a large body size and 16,384.1 ETB for a docile temperament relative to their baseline levels. The relatively small standard deviations for these random parameters indicate minimal preference heterogeneity among respondents, suggesting broad consensus on the importance of these attributes.

Disease resistance also significantly influenced smallholders’ preferences, with bulls perceived as “never getting ill” being the most favored (p < 0.001). Coat color was another important trait: bulls with plain coats were strongly preferred over those with mixed colors (p < 0.001). Given the critical role of cattle in agricultural production, smallholders expressed a significantly higher preference for bulls with strong draft power endurance compared to those with weaker strength (p < 0.001). The relative contributions of disease tolerance, plain coat color, and strong draft power to overall utility were similar, with relative importance scores ranging from 13% to 15.6%. Their corresponding MWTP estimates were also comparable, underscoring the economic value farmers attach to these traits.

Active libido was also identified as a desirable attribute, but its relative importance and MWTP were lower compared to other traits, indicating that smallholders placed less emphasis on libido in their breeding decisions. As expected, farmers consistently favored the best set of attributes at the lowest possible price. This preference was confirmed by the significant negative coefficient for the price attribute (p < 0.001), highlighting the sensitivity of smallholders to cost considerations in their choice decisions.

Stated preferences for cow attributes

The choice preference results for cow attributes, analyzed using a mixed logit model, are presented in Table 5. Milk yield and calf vigor were specified with random parameters, while the remaining attributes were modeled as fixed. The results indicate that both random and fixed parameters significantly influenced smallholders’ preferences for cow attributes.

Table 5. Mixed logit choice model estimates for breeding cow attributes.

Attributes Coefficient Std. error p-value MWTP* RI (%) #
Fixed parameters
1. Intercept base alternative
2. Intercept 0.311 0.282 0.270 – –
3. Intercept 0.340 0.249 0.171 – –
4. Intercept 0.075 0.275 0.785 – –
Body size (large) 0.464 0.061 0.000 6,186.5 19.8
Calving Interval (short) 0.179 0.072 0.013 2,382.7 7.6
Disease resistance (tolerant) 0.222 0.066 0.001 2,967.9 9.5
Temperament (docile) 0.344 0.077 0.000 4,587.9 14.6
Purchasing price −0.000075 0.000006 0.000 – –
Random parameters
Milk yield (high) 0.800 0.071 0.000 10,652.7 34.0
Calf vigor (strong) 0.340 0.058 0.000 4,540.5 14.5
Standard deviation of random parameters
Milk yield (high) 0.001 0.531 – – –
Calf vigor (good) 0.033 0.547 – – –
Log likelihood −1518.392 – – – –
number of observations 1536 – – – –
Total – – – – 100.0

*MWTP – Marginal willingness to pay in Ethiopian Birr (ETB)

#RPU – Relative importance in percent

The study revealed that milk yield was the most important attribute influencing choice decisions for breeding cows (p < 0.001). This is reflected in its comparatively high relative importance score and the magnitude of its marginal utility. The marginal utility (0.800) for high milk yield was the largest among all attributes included in the model. Furthermore, the MWTP for milk yield was approximately 10,652.7 ETB, demonstrating smallholders’ strong economic valuation of this trait. The small standard deviation estimate (0.001) suggests very low preference heterogeneity for milk yield.

Large body size was the second most preferred cow attribute, with a marginal utility of 0.464. Its relative importance in choice decisions was about 19.8%, while the MWTP for this trait was approximately 6,186.5 ETB. Consistent with the preference observed for bulls, smallholders showed a significantly higher preference for large-sized cows compared to small-sized ones (p < 0.001).

Behavioral characteristics also played a significant role, with docile cows strongly preferred over aggressive ones (p < 0.001). Similarly, calf strength immediately after birth was prioritized, with strong calf vigor favored over weak vigor (p < 0.001). The estimated MWTP and relative importance for calf vigor and temperament were comparable. The standard deviation for calf vigor was about 0.033, indicating negligible preference heterogeneity for this attribute.

A cow's ability to remain healthy when exposed to disease-causing agents also significantly influenced smallholders’ preferences. Overall, cows that were tolerant to disease were preferred over susceptible ones (p < 0.001). Smallholders also showed a significantly higher preference for cows with a short calving interval than for those requiring a longer period between successive births (p < 0.05). However, the relative importance and MWTP for a short calving interval and disease tolerance were lower than anticipated. As expected, the marginal utility of the cow’s purchase price was negative, confirming that smallholders favored desirable attributes at lower prices.

Odds rations for bull and cow attribute levels

To facilitate interpretation, odds ratios for attribute levels were calculated as the exponentiated coefficients (exp(β)) from the mixed logit model (Table 6). For bulls, the odds ratio of 1.93 indicates that, holding all other attributes constant, the odds of choosing a bull with a large body size were 93% higher than for a small-sized bull. Similarly, the odds of selecting a bull with a docile temperament were 1.85 times higher than for one with an aggressive temperament. For disease tolerance, the odds were 1.56 times higher compared to disease susceptibility.

Table 6. Odds ratio with 95% confidence interval for bull and cow attribute preferences.

Attributes and levels Odds ratio (95% confidence intervals)*
Bull Cow
Body size (Large vs Small) 1.93(1.71, 2.17) 1.59 (1.41, 1.79)
Temperament (Docile vs Aggressive) 1.85(1.39, 2.45) 1.41(1.21, 1.64)
Draft power strength (Strong vs Weak) 1.42 (1.33, 1.51) –
Disease resistance (tolerant vs Susceptible) 1.52(1.33, 1.74 1.25 (1.10, 1.42)
Coat color (Plain vs Mixed) 1.46(1.30, 1.63) –
Libido (Active vs Weak) 1.31(1.07, 1.59)
Milk yield (high vs Low) – 2.22 (1.93, 2.56)
Calving interval (Short vs Long) – 1.20 (1.04, 1.38)
Calf vigor (Strong vs Weak) – 1.41(1.25, 1.58)
Price (High vs Low) 0.96(0.94, 0.98) 0.93 (0.92, 0.94)

*Estimates in the parenthesis are lower and upper confidence intervals of odds ratios

For cows, the odds ratio of 2.22 implies that smallholders were more than twice as likely to choose a cow with high milk yield over one with low yield, assuming all other attributes were equal. This underscores the substantial preference for high-yielding cows. In addition, smallholders had 59% higher odds of selecting cows with a large body size compared to a small size (odds ratio = 1.59).

For both bulls and cows, the odds of selection decreased as price increased. The odds ratios for the high price level were 0.96 for bulls and 0.93 for cows, corresponding to a 4% and 7% reduction in the odds of selection, respectively. These results confirm that while farmers strongly value desirable traits, they remain highly sensitive to purchase price.

Revealed preferences

The average cattle price during the study period was approximately 38,127 ETB, with a predicted mean live body weight of about 308 ± 95.8 kg (Table 3). Results from the hedonic OLS regression analysis of market transaction data are presented in Table 7. With an adjusted R-squared of 0.92, the model indicates that the included variables collectively explain a high proportion of cattle price variation in the study areas. No statistically significant differences in cattle prices were observed among the three marketplaces (p > 0.05). Similarly, buyers’ educational level had no significant impact on price. In contrast, buyer type was a significant determinant: traders paid a premium approximately 3.7% higher than farmer buyers (p < 0.01). Purchasing purpose also influenced price, with cattle bought for slaughter commanding a premium of about 3.6% compared to those purchased for draft power (p < 0.05).

Table 7. Estimates of the hedonic OLS regression model.

Price determinants* Coefficient Std. error p-values
Constant 9.779 0.043 0.000
Market places (Debre Tabor)
 Nefas Mewucha −0.005 0.015 0.758
 Simada 0.004 0.017 0.827
Buyer education level (Elementary school)
 Read and write 0.000 0.018 0.996
 Illiterate 0.009 0.014 0.547
Buyer type (Farmer)
 Trader 0.037 0.014 0.010
Purpose of buying (Plowing)
 Breeding −0.020 0.023 0.367
 Resell −0.002 0.018 0.891
 Slaughter 0.036 0.017 0.042
Horn status (Polled)
 Horned 0.016 0.019 0.400
Sex of the cattle (Female)
 Male 0.053 0.020 0.008
Breed of cattle (Crossbreds)
 Local −0.030 0.018 0.104
Age of cattle (3PPI)
 1PPI −0.084 0.022 0.000
 2PPI −0.025 0.016 0.115
 Full mouth −0.037 0.018 0.039
Coat color (Mixed)
 Brown −0.002 0.017 0.907
 Black 0.015 0.014 0.287
Body condition (Moderate)
 Good 0.113 0.018 0.000
Live body weight 0.002 0.000 0.000
R-squared 0.93, Adjusted R-squared = 0.92, F-statistics = 131.2, p-value = 0.000

* Variables within the parentheses are the base category

Among the various biological characteristics investigated, sex, age, body condition, and live body weight were the main sources of cattle price variation in the study areas (Table 7). In contrast, breed type, horn status (presence/absence), and coat color did not have a significant influence on price (p > 0.05).

Regarding the effect of sex, male cattle were significantly more expensive than females, with a price premium of approximately 5.1% (p < 0.01). Age was estimated based on dental eruption patterns. It was observed that animals in the younger age category (1PPI) and those older than five years (full mouth) were marketed at lower prices compared to those in the 3PPI category (p < 0.05). In other words, age and price exhibited a non-linear relationship: price increased up to a certain age but declined as animals became older. There was no significant price difference between animals in the 2PPI and 3PPI age categories (p > 0.05).

The present study revealed that cattle body condition is a crucial price determinant in the local market. The market price for cattle in good body condition was about 11.3% higher than for those in moderate body condition. This result implies that buyers place heavy reliance on the body condition status of an animal when making purchase decisions. Live body weight also significantly influenced price. Holding all other factors constant, the price increased by approximately 0.2% for every additional kilogram of live weight (Table 7). Fig 2 also demonstrates that live body weight and the logarithm of price have a strong linear relationship, with heavier animals commanding a higher premium.

Fig 2. Relationship between live body weight and the natural logarithm of price.

Fig 2

Discussion

Harnessing indigenous cattle genetic resources as a pathway to improve the livelihoods of smallholders in developing countries, such as Ethiopia, largely depends on efforts to enhance their overall productivity [2,35]. As an initial step toward designing a conservation-based breeding program, this study investigated smallholders’ preferences for cattle traits and assessed the internal and external factors influencing cattle prices in northwest Ethiopia. The results of the choice modeling revealed that multiple attributes significantly influenced smallholders’ preferences for indigenous cattle. The hedonic regression analysis also identified that both cattle biological characteristics and external market factors, such as buyer type and purchase purpose, were significant determinants of price variation in the local market.

Synthesis of stated and revealed preferences for trait prioritization

This study integrated DCE and hedonic pricing approaches to identify valuable cattle traits from both producer preference and market perspectives. The DCE revealed that large body size was the first and second most preferred trait for bulls and cows, respectively. This strong preference for body size was strongly corroborated by the hedonic pricing analysis, in which superior body condition and greater live body weight exerted a significant positive influence on cattle market prices. This convergence between stated and revealed preferences validates smallholders’ trait prioritization and provides robust evidence for including body size as a primary breeding objective. Scarpa et al. [36], employing a similar mixed-methods approach with indigenous cattle in Kenya, found that larger body size significantly influenced both choice preference and market price. Similarly, Woldu et al. [16] reported convergence between DCE and hedonic model results with respect to body size in Ethiopian indigenous goats. These consistent findings across species and geographic contexts suggest that body size is a robustly valued trait in smallholder livestock systems.

Milk yield was the most preferred cow trait identified in the DCE. However, unlike body condition and live body weight—which are visually apparent at the market—milk yield is not directly observable at the point of transaction and as a result, could not be incorporated into the hedonic pricing model. This absence reflects a measurement limitation rather than a lack of market valuation. The high MWTP for milk in the DCE indicates that farmers value this trait strongly, but it cannot be priced through observable characteristics at the point of sale. This finding underscores the value of stated preference methods in capturing traits that are important to farmers but cannot be measured through market transactions. Therefore, while market data validates the economic importance of body size, the DCE results emphasize that breeding objectives must also prioritize milk production to align with smallholders’ livelihood strategies. The consistent emphasis on body size and milk yield aligns with previous reports indicating that indigenous cattle are crucial sources of food (milk and meat) and cash income at the smallholder level [2,3,37].

Apart from milk yield, traits such as docile temperament, disease tolerance, strong draft power, active libido, strong calf vigor, and short calving interval are not directly observable at the point of sale and were therefore not captured in the hedonic model. Their absence from the hedonic model does not imply that they are undervalued by the market; rather, it reflects the inherent difficulty of pricing such traits through observable transaction characteristics. In contrast, the hedonic model revealed market structure effects invisible to the DCE—for example, that traders pay higher prices and that slaughter animals command a premium. These divergences suggest that breeding for higher-value slaughter markets could increase profits but may conflict with smallholders’ draft power needs.

Beyond observability constraints, the absence of record-based livestock transactions in Ethiopia contributes to significant information asymmetries in the market, particularly regarding reproductive and adaptive performance. Without formal records or transaction histories, buyers cannot verify an animal's health status, reproductive history, or productivity potential at the point of sale. This information asymmetry—not a lack of buyer interest—explains why traits such as disease resistance, reproductive efficiency, and temperament are not reflected in market prices. Taken together, these findings clearly highlight the value of integrating stated and revealed preference methods to identify robust breeding objective traits.

Notwithstanding the merits of combining both strategies, certain methodological warrant attention. First, while the DCE and hedonic pricing analyses targeted the same population of smallholder cattle keepers in northwest Ethiopia, the actual samples differed in composition and context: the DCE was administered to randomly selected farmers in their villages, whereas the hedonic model relied on transaction data collected at livestock markets. Consequently, the market sample included traders and other buyers —such as farmers acting as buyers or consumers—who were not fully represented in the village-based DCE sample. This difference may partly explain some of the observed divergence between the two preference measures. As such, future research should consider integrated sampling designs—collecting stated preferences from farmers and subsequently tracking their actual market transactions—to minimize such divergence. Second, body live was estimated using Schaeffer's formula—a widely used method in field-based livestock studies [38–40]. Despite its popularity, this approach may introduce measurement error and lead to attenuation bias [41]. Our estimate of the price premium is therefore likely conservative, though the coefficient remains highly significant (p < 0.001).

Implications for designing a conservation-based breeding program

The convergence and divergence between stated and revealed preferences observed in this study provide a robust empirical foundation for defining breeding objectives that balance smallholder priorities with market realities. The strong alignment between farmers’ preferences for large-framed cattle and market premiums for superior body condition and live body weight suggests that growth rate and mature size should be primary breeding objectives. Genetic improvement of these traits would simultaneously satisfy breeder preferences and enhance market value, thereby creating a stronger economic incentive for sustainable resource conservation and utilization.

However, the high stated preference for milk yield—despite its invisibility in local market transactions—highlights the need for breeding objectives that extend beyond what prices alone reveal. Milk production is vital to smallholders’ household consumption, nutrition, and daily income generation [42,43], yet it cannot be captured in market prices because it is not directly observable at the point of animal sale. Thus, adopting a dual-purpose breeding objective that incorporates both body size and milk yield is vital for a conservation-based breeding program within smallholder systems. In addition, breeding objectives should weigh these traits based on their relative contributions to smallholder livelihoods, rather than solely on their market premiums.

Furthermore, the finding that buyer type and purchase purpose significantly influence prices suggests that market segmentation offers opportunities for niche breeding strategies. For instance, cattle destined for slaughter commanded higher prices, indicating that selecting for traits valued in the beef market—such as conformation and finish—could target this premium segment. However, such an approach must account for the continued need for draft power and milk production within smallholder systems. Beyond the traits discussed above, the DCE revealed that smallholders value several other invisible traits—including docile temperament, disease tolerance, strong draft power, active libido, strong calf vigor, and a short calving interval—which are not captured in market prices due to observability constraints at the point of sale.. While incorporating all of these into a breeding objective may be challenging, breeding programs should, at a minimum, avoid selecting against them. Care must be taken to monitor potential genetic correlations between visible and invisible traits to prevent unintended declines in these livelihood-critical attributes.

The relatively small standard deviations indicate broad consensus among farmers on the importance of body size, temperament, and milk yield. While the standard deviation for calf vigor was somewhat larger, it remains modest. These findings suggest that a single breeding objective emphasizing these traits would serve the majority of smallholder farmers. This is particularly important in the context of smallholder breeding programs, where collective action and a large breeding population are required, making individualized breeding objectives impractical.

Conclusion

Integrating stated and revealed preference approaches has enabled the identification of priority traits that can inform breeding objective definition by reconciling farmers’ preferences with market incentives. The observed convergence suggests that body size should be considered a primary candidate breeding objective, while divergence on milk yield and other non-observable traits (e.g., docile temperament, disease tolerance, libido, calving interval, and calf vigor) reveals that these traits are not captured in market prices due to observability constraints and information asymmetry. Combining both methods is therefore valuable—hedonic models alone miss invisible traits, while DCE alone misses real market structures such as price premiums for traders and slaughter animals. These findings provide empirical inputs for breeding objective definition and suggest that breeding programs consider multi-trait objectives that balance market competitiveness with household livelihood needs, incorporating both visible and invisible traits. Developing a formal selection index for these traits will require additional steps—namely, estimating genetic parameters and economic weights—which represent important directions for future research. This integrated approach can help ensure that conservation-based breeding programs enhance, rather than compromise, the full range of smallholder livelihood strategies.

Supporting information

S1 File. Choice preference raw data.

It is an Excel file (XLSX) containing raw data for bull and cow choice preference analysis.

(XLSX)

pone.0359944.s001.xlsx (510.2KB, xlsx)
S2 File. Revealed preference raw data.

It is an Excel file (XLSX) containing raw market data for hedonic pricing analysis.

(XLSX)

pone.0359944.s002.xlsx (113KB, xlsx)

Acknowledgments

The authors gratefully acknowledge all respondents who participated in this study.

Data Availability

All data supporting the findings are included in the paper and the supporting information.

Funding Statement

The author(s) received no specific funding for this work.

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Decision Letter 0

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Reviewer #1: Please find below the primary evaluation, constructive, and simple feedback for the manuscript referenced (PONE-D-26-27814), entitled 'Integrating Expressed and Inferred Preferences for Setting Livestock Breeding Goals among Smallholder Farmers in Northwest Ethiopia: Guidelines for Designing Breeding Programs'. The comments provided below address the most significant methodological and interpretative issues essential for enhancing the rigor of the manuscript:

1) Measurement Error & Potential Attenuation Bias

The Problem: Body weight was not measured using actual scales at the market; instead, it was estimated using Schaeffer’s formula based on heart girth and body length measurements taken with a tape. Introducing an estimated variable as a continuous regressor in an Ordinary Least Squares (OLS) model introduces measurement error. This typically causes attenuation bias (biasing the coefficient toward zero), which may explain the very small coefficient observed for body weight.

Proposed solution & correction: The authors must explicitly acknowledge this methodological limitation in the discussion section. They should also perform a sensitivity analysis or discuss how this measurement error might have deflated the perceived economic weight of the animal's size in the hedonic model.

2) Confounding Effect Due to Sample Incompatibility

The Problem: The manuscript attempts to directly compare "stated preferences" (DCE) with "revealed preferences" (Hedonic Pricing). However, the two samples represent completely different populations. The DCE was conducted exclusively with smallholder farmers in their villages, while the market transactions included traders, butchers, and urban consumers alongside farmers. Comparing these two datasets introduces a confounding factor: the difference in preferences might not be due to "market opacity" as the authors claim, but simply due to the differing economic objectives of the buyers (e.g., traders looking for immediate resale value vs. farmers looking for long-term breeding traits).

The Solution: The authors need to stratify or filter the market dataset, if possible, to isolate transactions made by farmers buying for breeding purposes. If the data does not allow for this distinction, this major population mismatch must be thoroughly discussed as a primary caveat that limits the direct comparability of the two models.

3) Misinterpretation of Log-Linear Regression Coefficients

The Problem: In the Hedonic Pricing model (T. 7), the coefficient for body weight is reported as 0.002. In the text, the authors interpret this as a 0.02% increase in market price per additional kilogram of body weight. This is a mathematical error. In a log-linear model (\(\ln(Y) = \beta_0 + \beta_1 X\)), the percentage change in Y for a unit change in X is calculated as \((e^{\beta_1} - 1) \times 100\), which for small coefficients is approximately β₁ × 100. Therefore, a coefficient of 0.002 corresponds to a 0.2% increase, not 0.02%.

Proposed solution & correction: The authors must correct this mathematical interpretation throughout the manuscript and re-align their discussion to reflect the actual magnitude of the effect.

4) Methodological Implausibility of Zero Opt-out Choices

The Problem: The authors state that out of the 384 farmers surveyed, none chose the "Opt-out" (status quo / none of the choices) option across all choice sets. In Discrete Choice Experiments (DCE), a zero frequency for the opt-out alternative is highly unusual and statistically improbable. This raises concerns about potential enumerator bias (e.g., field interviewers rushing respondents or discouraging them from choosing the opt-out) or a fundamental misunderstanding of the baseline option by the respondents.

Request for Clarification: The authors must provide a rigorous methodological justification for this outcome. They need to explain how the choice tasks were explained to the smallholders, how interviewers were trained to handle the opt-out option, and discuss whether this lack of variation forces any bias into the Mixed Logit model estimates.

Reviewer #2: Major Comments

Clarification of the relationship between stated and revealed preferences.

The two approaches are presented as a 'combined' methodology, but the samples and data sources used in the two analyses were different, and the analyses were performed separately. The authors must explain that the study is a comparative and complementary integration of the evidence, but not a statistical integration of the two sets of evidence. Standard terms should be used in the manuscript throughout.

Interpretation of non-observable traits in the hedonic model

Where traits like milk yield, disease resistance, temperament, libido, and reproductive traits are missing from the hedonic model, the manuscript uses that as grounds to conclude that these traits are “undervalued by the market.” The above interpretation may be extreme inasmuch as those traits were not directly observed or reliably documented at the point of sale. The authors need to distinguish between lack of market valuation and the inability to describe the trait through transaction prices that are observed.

The hedonic analysis sample size and model complexity.

The hedonic model includes a relatively large number of levels of categorical variables and explanatory variables but is based on just 200 transactions. The authors should present a more compelling argument regarding the appropriateness of the sample size in the context of the number of parameters estimated and the stability and generalizability of the estimates.

The use of forecasted as opposed to measured body weight.

Heart girth and body length were used to estimate body weight by applying Schaeffer's formula. The authors should explain why it is appropriate to use predicted body weight instead of direct weighing and should explain the possible measurement error that may arise from the prediction equation and the influence it may have on the hedonic price estimates.

Very high explanatory power of the hedonic model

The adjusted R² value reported is very high for a cross sectional livestock market model. This is not necessarily a sign of a problem, but the authors should discuss this further, discuss possible overfitting, and indicate whether other model specifications gave similar results.

Specification of random parameters of the mixed logit models

The bull size and temperament were defined as random parameters, as well as the cow's milk yield and calf vigor. A more detailed explanation of the rationale for the selection of these particular attributes should be provided. Furthermore, the authors should provide some discussion about the meaning and significance of the estimated standard deviations of the random parameters given the very small estimates reported.

Calculation and interpretation of relative importance

There is a need to provide a more detailed description of the method of determining relative importance from MWTP estimates. The authors should explain why MWTP values are suitable to calculate the relative importance of the various attributes and make sure the interpretation of the values is the same in the bull and cow model.

Justification of attribute levels used in the DCE

Strong empirical support may be needed for some of the attributed levels, especially milk production (>5 L/day vs. <2 L/day) and the resistance to disease (animals that “never get ill”). The authors should describe the selection of these thresholds and the extent to which they cover reasonable thresholds of variation under the production conditions used in the study area.

There are no options for opting out.

In all choice tasks, none of the 384 respondents chose the opt-out option. This is a significant discovery which warrants further discussion. The authors must take into account the credibility of the alternatives, how the opt-out alternative was presented, or the understanding the respondents may have of the choice experiment.

For breeding objective development implications will be discussed.

The manuscript suggests body size, milk yield and other characteristics as requirements for breeding objectives. The study doesn't, however, attempt to calculate genetic parameters, genetic correlations, or economic weights needed to develop a formal selection index. The authors should therefore temper some of the recommendations and provide some clarity that the results indicate priority traits and farmer/market preferences but are not an exhaustive economically optimized selection index.

Overall Recommendation

The manuscript is of scientific interest and may provide benefit in designing conservation-based cattle breeding programs. The above problems are mostly related to problems of clarity, interpretation and strengthening of methodological justification and do not reflect fundamental flaws in the study design. Readdressing these points would significantly enhance the rigor and clarity of the manuscript.

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Reviewer #1: Yes:  Faisal A. Alshamiry

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PLoS One. 2026 Oct 7;21(10):e0359944. doi: 10.1371/journal.pone.0359944.r002

Author response to Decision Letter 1


15 Sep 2026

Response to Reviewers

Manuscript ID: PONE-D-26-27814

Manuscript title: Combining stated and revealed preferences to define smallholder cattle breeding objectives in northwest Ethiopia: Evidence for breeding program design

Dear Editor and Reviewers,

We greatly appreciate your comments and suggestions on our manuscript. We have carefully addressed your valuable insights in our revisions and hope they now meet your expectations. Below, we provide detailed responses to each point.

Comments from the Editor

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Authors’ Response:

We thank the Editor for reminding us of this important issue. The authors have carefully prepared the manuscript in strict accordance with PLOS ONE's guidelines and have made every effort to ensure full compliance with the journal's style requirements.

2. If the reviewer comments include a recommendation to cite specific previously published works, please review and evaluate these publications to determine whether they are relevant and should be cited. There is no requirement to cite these works unless the editor has indicated otherwise.

Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript. If you need to cite a retracted article, indicate the article’s retracted status in the References list and also include a citation and full reference for the retraction notice.

Authors’ Response:

We thank the Editor for this important reminder. The reviewers did not recommend citing any specific previously published works. However, we have added several references while addressing the reviewers' comments and questions. The full reference list has been reviewed for completeness and correctness, and all references are included at the end of the manuscript. We confirm that no retracted articles have been cited in our manuscript. All changes to the reference list are reflected in the revised manuscript.

Additional Editor Comments:

In light of the reviews received, I kindly ask the authors to incorporate the suggestions made by the reviewers. To facilitate the re-evaluation process, please ensure that all changes and adjustments made to the manuscript are clearly highlighted in a different color. Once the revised version is submitted, we will proceed with the editorial process for the publication of the work.

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Authors’ response:

We thank the Editor for this clarification. As required, all changes and adjustments made to the manuscript have been clearly highlighted in a different color using the track changes function in Microsoft Word. In accordance with the journal's requirement, we submitted two files:

Manuscript with track changes – showing all modifications in a different font color (red/blue) for easy identification.

Clean revised manuscript – without track changes, representing the final version for publication.

Comments and questions from Reviewer #1

Reviewer #1: Please find below the primary evaluation, constructive, and simple feedback for the manuscript referenced (PONE-D-26-27814), entitled 'Integrating Expressed and Inferred Preferences for Setting Livestock Breeding Goals among Smallholder Farmers in Northwest Ethiopia: Guidelines for Designing Breeding Programs'. The comments provided below address the most significant methodological and interpretative issues essential for enhancing the rigor of the manuscript:

Authors’ Response:

We thank the reviewer for their careful reading of our manuscript. We note that the reviewer refers to our manuscript as "Integrating Expressed and Inferred Preferences for Setting Livestock Breeding Goals among Smallholder Farmers in Northwest Ethiopia: Guidelines for Designing Breeding Programs."

We would respectfully clarify that our original submitted title is:

"Combining stated and revealed preferences to define smallholder cattle breeding objectives in northwest Ethiopia: Evidence for breeding program design"

We believe this title more accurately reflects the scope and contribution of our study for the following reasons:

"Guidelines" implies prescriptive protocols, whereas our study provides empirical evidence and inputs to inform breeding program design. We have therefore retained "Evidence for breeding program design."

"Livestock" is too general, as our study specifically focuses on cattle.

"Stated preference" and "revealed preference" are the established terms in the DCE and hedonic pricing literature, respectively, and precisely describe our methodological approach.

We hope this clarifies our title and appreciate the reviewer's engagement with our work.

Measurement Error & Potential Attenuation Bias (Reviewer #1)

The Problem: Body weight was not measured using actual scales at the market; instead, it was estimated using Schaeffer’s formula based on heart girth and body length measurements taken with a tape. Introducing an estimated variable as a continuous regressor in an Ordinary Least Squares (OLS) model introduces measurement error. This typically causes attenuation bias (biasing the coefficient toward zero), which may explain the very small coefficient observed for body weight.

Proposed solution & correction: The authors must explicitly acknowledge this methodological limitation in the discussion section. They should also perform a sensitivity analysis or discuss how this measurement error might have deflated the perceived economic weight of the animal's size in the hedonic model.

Authors’ Response:

We thank the reviewer for this important methodological observation. We have acknowledged this limitation in the Discussion section. However, we would also like to demonstrate that the economic significance of live body weight remains meaningful despite potential attenuation bias. Our hedonic model yielded a coefficient of 0.002 (p < 0.001) for live body weight, corresponding to a 0.2% price increase per additional kilogram. With a mean cattle price of 38,127.2 ETB (Table 3), this equates to approximately 76 ETB per kg. For example, a 50 kg increase in live body weight—well within the observed range—corresponds to nearly 3,800 ETB, or a 10% price premium. In the context of smallholder livelihoods in rural Ethiopia, this represents a substantial economic return.

Therefore, while we acknowledge that measurement error may introduce some attenuation bias, the economic significance of live body weight remains clearly evident even under a conservative estimate. We have added a concise limitation paragraph to describe this limitation in the discussion (page24, lines 461 – 465)

Confounding Effect Due to Sample Incompatibility (Reviewer #1)

The Problem: The manuscript attempts to directly compare "stated preferences" (DCE) with "revealed preferences" (Hedonic Pricing). However, the two samples represent completely different populations. The DCE was conducted exclusively with smallholder farmers in their villages, while the market transactions included traders, butchers, and urban consumers alongside farmers. Comparing these two datasets introduces a confounding factor: the difference in preferences might not be due to "market opacity" as the authors claim, but simply due to the differing economic objectives of the buyers (e.g., traders looking for immediate resale value vs. farmers looking for long-term breeding traits).

The Solution: The authors need to stratify or filter the market dataset, if possible, to isolate transactions made by farmers buying for breeding purposes. If the data does not allow for this distinction, this major population mismatch must be thoroughly discussed as a primary caveat that limits the direct comparability of the two models.

Authors’ Response:

We thank the reviewer for this observation. We would like to clarify the methodological rationale underlying our comparative approach and note that this limitation was also already acknowledged in our original manuscript.

Regarding “…the two samples represent completely different populations.” we would respectfully clarify that the two samples are not "completely different populations" but rather substantially overlapping populations drawn from the same study area. Both the DCE and hedonic data were collected from the same three districts in northwest Ethiopia. The DCE sample consisted entirely of smallholder farmers (100%), while the hedonic market sample consisted of 55% farmers and 45% traders. This means that the majority of market transactions involved the same population (farmers) surveyed in the DCE.

Separate analysis eliminates confounding risk: Importantly, the reviewer's concern about confounding effects would be serious had we merged the two datasets and analyzed them together. However, as stated in the "Study approach" subsection, the datasets were analyzed separately and independently:

The DCE was analyzed using a mixed logit model to estimate farmers' stated preferences.

The hedonic model was analyzed using a log linear OLS regression to estimate market-determined trait values.

The results were subsequently compared to identify convergence and divergence.

This approach avoids the methodological pitfalls of merging incompatible datasets. Each model is internally valid, and the comparison is interpretive rather than statistical—thus minimizing confounding risk.

Controls for sample composition: Our hedonic model explicitly controlled for buyer type and purchase purpose (Table 7). Traders paid 3.7% more than farmers (p = 0.010), and animals for slaughter commanded a 3.6% premium over those for ploughing (p = 0.042). Despite these controls, our core findings remained robust.

Complementary, not contradictory, samples: The two samples capture different facets of the same population: The DCE captures stated preferences of farmers in their villages. The hedonic model captures revealed preferences from market transactions, which include farmer-buyers (55%) and traders (45%).

Breeding objectives must address both demand and supply: A breeding program must serve both farmer preferences (what farmers want in their herds) and market demand (what buyers are willing to pay for). Both perspectives are essential for designing a breeding program that is biologically sound and economically viable.

Limitation already acknowledged: We note that this limitation was already acknowledged in the original manuscript's Discussion section as follows:

“Notwithstanding the merits of combining both strategies, certain methodological warrant attention. First, while the DCE and hedonic pricing analyses targeted the same population of smallholder cattle keepers in northwest Ethiopia, the actual samples differed in composition and context: the DCE was administered to randomly selected farmers in their villages, whereas the hedonic model relied on transaction data collected at livestock markets. Consequently, the market sample included traders and other buyers —such as farmers acting as buyers or consumers—who were not fully represented in the village-based DCE sample. This difference may partly explain some of the observed divergence between the two preference measures. As such, future research should consider integrated sampling designs—collecting stated preferences from farmers and subsequently tracking their actual market transactions—to minimize such divergence…”

We have further refined this discussion in the revised manuscript taking into account the previous comments in live body weight estimation.

Misinterpretation of Log-Linear Regression Coefficients (Reviewer #1)

The Problem: In the Hedonic Pricing model (T. 7), the coefficient for body weight is reported as 0.002. In the text, the authors interpret this as a 0.02% increase in market price per additional kilogram of body weight. This is a mathematical error. In a log-linear model (\(\ln(Y) = \beta_0 + \beta_1 X\)), the percentage change in Y for a unit change in X is calculated as \((e^{\beta_1} - 1) \times 100\), which for small coefficients is approximately β₁ × 100. Therefore, a coefficient of 0.002 corresponds to a 0.2% increase, not 0.02%.

Proposed solution & correction: The authors must correct this mathematical interpretation throughout the manuscript and re-align their discussion to reflect the actual magnitude of the effect.

Authors’ Response:

We thank the reviewer for pointing out this error. We noted that while interpreting live body weight coefficient, we mistakenly wrote 0.02% in the text, which should be 0.2%. We made the correction in the text and now the text reads:

“… Holding all other factors constant, the price increased by approximately 0.2% for every additional kilogram of live body weight…”

Methodological Implausibility of Zero Opt-out Choices (Reviewer #1)

The Problem: The authors state that out of the 384 farmers surveyed, none chose the "Opt-out" (status quo / none of the choices) option across all choice sets. In Discrete Choice Experiments (DCE), a zero frequency for the opt-out alternative is highly unusual and statistically improbable. This raises concerns about potential enumerator bias (e.g., field interviewers rushing respondents or discouraging them from choosing the opt-out) or a fundamental misunderstanding of the baseline option by the respondents.

Request for Clarification: The authors must provide a rigorous methodological justification for this outcome. They need to explain how the choice tasks were explained to the smallholders, how interviewers were trained to handle the opt-out option, and discuss whether this lack of variation forces any bias into the Mixed Logit model estimates.

Authors’ response:

We thank the reviewer for this excellent and methodologically rigorous comment. A zero or near-zero selection rate for the opt-out alternative is indeed uncommon in standard consumer-market DCEs. However, in the specific context of defining livestock breeding objectives within smallholder farming systems, this outcome is both behaviorally rational and methodologically documented. For instance, Abebe et al. (2020) reported a frequency of opt-out below 0.5% in a sample of 370 households following a DCE study on sheep, while Kassie et al. (2009) reported a 1.4% opt-out frequency from a sample of 195 for valuing traits of indigenous cows in central Ethiopia. These negligible opt-out choices clearly demonstrate how context dictates choice behavior. We address the reviewer’s specific points as follows:

Methodological & Contextual Justification:

The framing of the opt-out: In our DCE, the opt-out alternative was explicitly framed to farmers as: “No genetic improvement or trait modification is needed for your herd relative to the presented options.” Since the objective of the study was to identify breeding preferences (traits to be genetically improved), framing the opt-out in this manner was highly appropriate.

The reality of smallholder mixed crop-livestock production systems: Cattle are a critical asset for smallholder farmers, serving as a household food supply, income source, and draught power for crop production. Given that indigenous cattle in Ethiopia are the result of natural selection, they are well-adapted to low-input systems, though their average productivity remains generally low. For a smallholder whose livelihood depends heavily on these animals, the premise that "no improvement is needed" is fundamentally counter-intuitive. Because they actively desire and need better-performing animals to secure food and income, choosing the status quo (the opt-out) was viewed as an unrealistic and non-viable strategy.

Minimized complexity in design: As described in the methodology, we used a fractional factorial design blocked into four parts to minimize cognitive demand, keeping in mind the lower literacy levels typical of smallholder communities. The design was limited to seven attributes, with all having two levels except price, which had three. This streamlined setup ensured that respondents did not experience cognitive fatigue or confusion—common drivers of uninformative opt-out choices in complex DCEs.

Field protocol and enumerator training (addressing potential bias)

While it is impossible to eliminate all potential bias in field research, we implemented a rigid quality-control protocol during fieldwork to minimize biases arising from miscommunication:

Enumerator expertise: All enumerators held a BSc degree in Animal Science. They underwent an intensive training program covering respondent interaction, the basics of valuing livestock traits using DCEs, and the attribute levels presented on each choice card. This included mock interviews specifically focused on neutrality. Enumerators were strictly instructed to read all five alternatives—including the opt-out—with equal emphasis and without prompting or rushing the respondent.

Visual support: We utilized tailored visual aids for the majority of the trait levels (see Figure 1 in the manuscript). Before commencing the choice tasks, enumerators briefed the participants on the study's purpose and consistently used these visual cards to clearly explain every alternative.

Strict supervision: Field supervisors conducted random spot-checks during interviews to verify that all alternatives, including the opt-out, were being presented transparently. The zero-frequency trend was uniform across all enumerators, ruling out isolated interviewer bias or systematic rushing.

Econometric implications & potential model bias

Model convergence & mathematical necessity: The reviewer is correct that a complete lack of variation in a choice category prevents standard parameter estimation. Had we included the opt-out alternative with an all-zero outcome vector in the final Mixed Logit specification, the model would fail to converge because the Alternative-Specific Constant (ASC) for the opt-out would approach negative infinity. Mathematically, it must be excluded from the estimation matrix, and we did so.

Preserving the unforced choice nature: Excluding the unselected opt-out from the statistical analysis does not retrospectively transform the experiment into a forced-choice design. The behavioral choices were freely made by the respondents in the field, as the opt-out option was physically present on the choice cards.

Relaxing the IIA assumption via Mixed Logit: A common concern when altering choice sets in a standard Multinomial Logit (MNL) model is the violation of the Independence from Irrelevant Alternatives (IIA) assumption. However, we utilized a Mixed Logit (MXL) model, which natively relaxes the IIA restriction by allowing parameters to vary randomly across individuals.

Captured in the error and heterogeneity terms: Because the MXL model accommodates unobserved taste heterogeneity, any residual behavioral variance or latent effects related to the baseline/opt-out option—which respondents deliberately bypassed—are appropriately absorbed into the model's random parameter distributions and idiosyncratic error terms, rather than biasing the core trait preference estimates.

In addition the above explanation, we included the following text in the revised manuscript (lines 174 to 184) to further clarify the issue:

“The zero selection rate for the opt-out alternative, while uncommon in consumer-market choice experiments, is both behaviorally rational and methodologically documented within smallholder farming systems. For instance, Abebe et al. [12] reported an opt-out frequency below 0.5% for sheep traits, while Kassie et al. [28] observed a 1.4% opt-out rate for indigenous cow traits in Ethiopia. Because the explicit goal of the choice task was to define the breeding objective, the opt-out alternative was framed to farmers as: “no genetic improvement or trait modification is needed for your herd relative to the presented options.” Given the subsistence constraints of the crop-livestock production system, selecting the status quo was viewed as unviable by the respondents, illustrating how local context dictates choice behavior. Consequently, due to this complete lack of statistical variation, the opt-out alternative was excluded from the final econometric estimation matrix to ensure model convergence.”

Comments and questions from Reviewer #2

Reviewer #2: Major Comments

Clarification of the relationship between stated and revealed preferences (Reviewer #2)

The two approaches are presented as a 'combined' methodology, but the samples and data sources used in the two analyses were different, and the analyses were performed separately. The authors must explain that the study is a comparative and complementary integration of the evidence, but not a statistical integration of the two sets of evidence. Standard terms should be used in the manuscript throughout.

Authors’ Response:

We thank the reviewer for this important clarification. We fully agree that the manuscript should clearly state that the two datasets were analyzed separately and not statistically integrated. We would like to note that this was already stated in the manuscript's "Study approach" subsection as:

"… Although both methods focused on the same target population, the specific respondents and data sources differed. Consequently, the datasets were analyzed separately rather than merged, and their results were subsequently compared to provide complementary insights."

However, we acknowledge that this statement could be more explicit. We have therefore revised the "Study approach" subsection of the manuscript to further emphasize this as follows:

“Study approach

This study employed both DCE and hedonic pricing methods to examine smallholder preferences for indigenous cattle traits. The target population for both methods was smallholder farmers in the selected districts. Choice data for the DCE were collected through a cross-sectional survey administered to randomly selected farmers, while transaction data for the hedonic pricing method were obtained by observing cattle sales in the major markets of the study districts. Although both methods focused on the same target population, the specific respondents and data sources differed. Consequently, the datasets were analyzed separately and independently rather than merged, and their results were subsequently compared and integrated to provide complementary insights. This study therefore represents a comparative and complementary integration of evidence, not a statistical integration of the two datasets.”

Regarding clarification on "combining" vs. "comparing" in the title: We respectfully retain the term "combining" rather than "comparing" for the following reasons:

Purpose of the study: Our goal was not to test which method performs better, but to integrate insights from both methods to define a balanced breeding objective that reflects both farmer preferences (DCE) and market demand (hedonic pricing).

Complementary strengths: As described in the Introduction, each method has distinct strengths and weaknesses. Combining them allows us to capitalize on their respective strengths and mitigate their individual weaknesses.

Reader expectations: If we used "comparing" in the title, readers would expect a verdict on which method is superior. Instead, our conclusion is that employing both methods together provides a more complete basis for defining breeding objectives.

We have also audited the manuscript to ensure consistent use of terminology. We are grateful to the reviewer for prompting this clarification, which has improved the precision of our manuscript.

Interpretation of non-observable traits in the hedonic model (Reviewer #2)

Where traits like milk yield, disease resistance, temperament, libido, and reproductive traits are missing from the hedonic model, the manuscript uses that as grounds to conclude that these traits are “undervalued by the market.” The above interpretation may be extreme inasmuch as those traits were not directly observed or reliably documented at the point of sale. The authors need to distinguish between lack of market valuation and the inability to describe the trait through transaction prices that are observed.

Authors’ Response:

We thank the reviewer for this extremely important and insightful observation. We fully agree that our original interpretation conflated two distinct concepts: (1) lack of market valuation and (2) the inability to measure a trait through observed transaction prices. We have revised the Discussion section accordingly.

Specific revisions made:

Replaced "the meat-focused market undervalues" with: "This absence reflects a measurement limitation rather than a lack of market valuation."

Replaced "invisible to the market" with: "not directly observable at the point of sale" and added: "Their absence from the hedonic model does not imply that they are undervalued by the market; rather, it reflects the inherent difficulty of pricing such traits through observable transaction characteristics."

Added explicit statement: "This information asymmetry—not a lack of buyer interest—explains why traits such as disease resistance, reproductive efficiency, and temperament are not reflected in market prices."

Strengthened the role of DCE: "This finding underscores the value of stated preference methods in capturing traits that are important to farmers but cannot be measured through market transactions."

We are grateful to the reviewer for prompting this important clarification, which has significantly improved the accuracy and nuance of our interpretation.

The hedonic analysis sample size and model complexity (Reviewer #2)

The hedonic model includes a relatively large number of levels of categorical variables and explanatory variables but is based on just 200 transactions. The authors should present a more compelling argument regarding the appropriateness of the sample size in the context of the number of parameters estimated and the stability and generalizability of the estimates.

Authors’ Response:

We thank the reviewer for this important observation. We would like to clarify that the appropriateness of our sample size and the stability of our model have been addressed in the manuscript.

Sample size justification (revised methods section): There is no single dedicated formula for calculating sample size specifically for hedonic pricing models. Instead, researchers rely on standard multivariable OLS regression guidelines. Harrell (2015), in his authoritative book on regression modeling strategies, discussed a nuanced set of rules of thumb regarding the relationship between sample size (m) and the number of predictors (p):

Liberal rule: p < m/10, 200/10 =20

Good average rule: p < m/15 = 200/15 =13.33

Conservative rule: p < m/20 = 200/20 =10

With m = 200 and p = 11 predictors, our sample size of 200 satisfies both the liberal and "good average" rules of thumb, while it falls slightly short of the conservative criterion. This implies that our sample size was reasonably adequate to estimate the effect of 11 predictors without overfitting the model. Achieving a higher sample size is often difficult in field-based livestock market studies, especially in the study area where standardized livestock marketing is absent.

We have included the following explanation in the revised Methods section (lines 198 to 205):

"The market transaction dataset includes 10 categorical and one continuous variables, with 11 predictors in total. According to Harrell [28], the ratio of sample size (m) to number of predictors (p) should satisfy p < m/10 (liberal), p < m/15 (good average), or p < m/20 (conservative). With m = 200 and p = 11, our study satisfies both the liberal rule (11 < 20) and the good average rule (11 < 13.33), implying the sample size was reasonably adequate to estimate the effects of 11 predictors without introducing overfitting. Achieving a higher sample size is often difficult in field-based livestock market studies, especially in the study area where standardized livestock marketing is absent.”

Model stability and diagnostics (existing Methods section): The manuscript also reports comprehensive diagnostic tests confirming model stability:

Multicollinearity was assessed using VIF (range 1.3–3.1; mean 1.8). The Breusch-Pagan-Godfrey test confirmed homoscedasticity (p = 0.667), and the Ramsey RESET test indicated no significant misspecification (p = 0.096). Adjusted R² = 0.92 and F-statistic = 131.2 (p < 0.001) indicate excellent model fit.

The use of forecasted as opposed to measured body weight (Reviewer #2)

Heart girth and body length were used to estimate body weight by applying Schaeffer's formula. The authors should explain why it is appropriate to use predicted body weight instead of direct weighing and should explain the possible measurement error that may arise from the prediction equation and the influence it may have on the hedonic price estimates.

Authors’ Response:

We thank the reviewer for this important observation. We acknowledge that body weight was estimated using Schaeffer's formula rather than measured directly with scales, and we appreciate the opportunity to explain why this approach was necessary and how it may affect our estimates.

Why Schaeffer's formula was used: We used Schaeffer's formula because direct weighing of cattle at livestock markets in rural Ethiopia presents significant practical challenges due to the absence of weighing scales. Livestock markets in the study area are not equipped with cattle weighing scales. This is consistent with the broader context of livestock marketing in Ethiopia, where standardized marketing infrastructure is largely absent. Schaeffer's formula is a widely recognized and validated method in livestock research where direct weighing is not feasible (e.g., Wangchuk et al., 2017; Los et al., 2022; Ganapathi et al., 2025).

Measurement error and attenuation bias: We acknowledge that using predicted body weight introduces measurement error. In an Ordinary Least Squares (OLS) framework, classical measurement error in a continuous regressor typically leads to attenuation bias, where the estimated coefficient is biased toward zero (Wooldridge, 2010). Under this assumption, our estimate of the price premium for body weight (0.002, or 0.2% per kg) is likely conservative. While the direction of bias depends on the nature of the measurement error, the coefficient for body weight remains highly significant (p < 0.001), reinforcing the importance of body size as a market-valued trait. We have clearly described this limitation in the Discussion section (lines 461 to 465 of the revised manuscript).

Influence on hedonic price estimates: Under the classical measurement error assumption, the direction of bias is toward zero, which means our findings on body weight represent a lower bound of its true economic value. Other coefficients in the model are less likely to be affected, as they are based on directly observed categorical variables. The overall model fit (adjusted R² = 0.92) and diagnostic test results suggest that the model remains robust despite this limitation.

We are grateful to the reviewer for prompting this clarification.

Very high explanatory power of the hedonic model (Reviewer #2)

The adjusted R² value reported is very high for a cross sectional livestock market model. This is not necessarily a sign of a problem, but the authors should discuss this further, discuss possible overfitting, and indicate whether other model specifications gave similar results.

Authors’ Response:

We thank the reviewer for this thoughtful observation. We appreciate the opportunity to clarify the high explanatory power of our hedonic model.

Why high explanatory power is plausible in this context: Cattle are relatively homogeneous assets traded based on observable characteristics—body condition, live weight, sex, age, breed, and coat color. In rural Ethiopian livestock markets, where formal grading and performance records are absent, negotiations are based on these directly observable traits. Our model captures these variables comprehensively, explaining the high adjusted R².

Overfitting concerns: The diagnostic tests relevant to overfitting are already reported in the Methods and Results sections:

Minimal difference between R2 and adjusted R²: The R² is 0.93 and the adjusted R² is 0.92, a difference of only 0.01. Since adjusted R² penalizes for the number of predictors, this minimal drop suggests no severe overfitting.

Reasonably adequate sample size relative to predictors: 200 observations / 11 predictors = 18:1 ratio, exceeding established thresholds (Harrell, 2015).

Low multicollinearity: VIF values range from 1.3 to 3.1 (mean 1.8), well below the threshold of 5.

No significant misspecification: The Ramsey RESET test (p = 0.096) indicates no significant omitted variable bias.

Alternative model specifications: To assess robustness, we estimated the model using an alternative functional form (linear-linear specification). The results were as follows:

Model Specification R² Adjusted R² Breusch-Pagan-Godfrey (p-value) Verdict

Log-linear (primary model) 0.93 0.92 0.667 Homoscedasticity confirmed

Linear-linear (alternative) 0.90 0.89 0.060 (F-test);

0.008 (Scaled SS) Evidence of heteroscedasticity

The linear-linear specification yielded a similarly high adjusted R² (0.89), confirming the robustness of the model's explanatory power. However, this functional form exhibited evidence of heteroscedasticity (Breusch-Pagan-Godfrey p = 0.060). The log-linear specification satisfied the homoscedasticity assumption (p = 0.667), confirming that it is the appropriate functional form for our data and also provided a slight improvement in adjusted R² (0.92 vs. 0.89). Importantly, the coefficients for key variables (particularly body weight and body condition) remained significant and consistent in sign across both specifications.

In summary, the high adjusted R² reflects the nature of cattle as relatively homogeneous assets whose prices are determined by observable characteristics. The diagnostic results already reported in the Methods section, along with consistency across functional forms, suggest that overfitting is not a concern.

Specification of random parameters of the mixed logit models (Reviewer #2)

The bull size and temperament were defined as random parameters, as well as the cow's milk yield and calf vigor. A more detailed explanation of the rationale for the selection of these particular attributes should be provided. Furthermore, the authors should provide some discussion about the meaning and significance of the estimated standard deviations of the random parameters given the very small estimates reported.

Authors’ Response:

We thank the reviewer for this important methodological observation. We appreciate the opportunity to explain our specification of random parameters and to discuss the interpretation of the estimated standard deviations.

The standard Multinomial Logit (MNL) model requires the Independence of Irrelevant Alternatives (IIA) assumption, which our data could not satisfy. To relax the IIA assumption and account for heterogeneity, we employed a mixed logit model with correlated random parameters. This model requires specifying random and fixed parameters. Following Hensher and Greene (2003), “attributes that contributed most to overall model fit—based on Log Likelihood changes—were specified as random parameters, while others were modeled as fixed.” For bulls, body size and temperament were specified as random; for cows, milk yield and calf vigor were specified as random.

The standard deviation of a random parameter indicates the spread of individual preferences around the mean coefficient. The standard deviations for body size (0.001), temperament (0.010), and milk yield (0.001) are very small, indicating broad consensus among farmers. For calf vigor, however, the standard deviation is somewhat larger (0.033) but remains modest.

In the revised manuscript, we have added the following text in the Discussion section (lines 494 to 499) for further clarification:

"The relatively small standard deviations indicate broad consensus among farmers on the importance of body size, temperament, and milk yield. While the standard deviation for calf vigor was somewhat larger, it remains modest. These findings suggest that a single breeding objective emphasizing these traits would serve the majority of smallholder farmers. This is particularly important in the context of smallholder breeding programs, where collective action and a large breeding population are required, making individualized breeding objectives impractical."

Calculation and interpretation of relative importance (Reviewer #2)

There is a need to provide a more detailed description of the method of determining relative importance from MWTP estimates. The authors should explain why MWTP values are suitable to calculate the relative importance of the various attributes and make sure the interpretation of the values is the same in the bull and cow model.

Authors’ Response:

We thank the reviewer for this important methodological observation. We appreciate the opportunity to clarify our calculation of relative importance from MWTP estimates.

Method for Calculating MWTP and Relative Importance:

As stated in the Methods section (lines 239 to 245), MWTP was calculated for each attribute using the following formula:

MWTP= -1 X (( Coefficient of the attribute)/(Coefficient of price))

The MWTP estimates the amount smallholders are willing to pay for a one-unit improvement in a specific attribute of a bull or cow.

Relative importance was then calculated from MWTP as follows:

〖Relative importance〗_k=(〖MWTP〗_k/(∑▒〖MWTP for all attributes〗))*100

This provides the percentage contribution of each attribute to overall preference.

Why MWTP is suitable for calculating relative importance: MWTP is suitable for calculating relative importance for the following reasons:

Common monetary scale: MWTP converts utility coefficients into a common monetary metric, allowing direct comparison across attributes with different units (e.g., body size vs. temperament vs. milk yield).

Direct interpretation: MWTP reflects the actual trade-off farmers are willing to make between trait improvements and price—making relative importance estimates directly interpretable in economic terms. For example, as reported in the Results section (lines 296 to 297), “smallholders were willing to pay an additional 17,520.8 ETB for a large body size and 16,384.1 ETB for a docile temperament relative to their baseline levels.”

We have included the following text in the Methods section of the revised manuscript (lines 248 to 251) for further clarification:

“The MWTP is suitable for calculating relative importance because it converts utility coefficients into a common monetary scale, allowing direct comparison across attributes with different units. This approach was applied consistently to both the bull and cow models, ensuring that relative importance values are directly comparable.”

In summary, MWTP was calculated using the standard formula, and relative importance was derived as the percentage contribution of each attribute's MWTP to the total. This method is suitable because MWTP provides a common monetary scale for comparison, and the same method was applied consistently to both bull and cow models. We are grateful to the reviewer for prompting this clarification.

Justification of attribute levels used in the DCE (Reviewer #2)

Strong empirical support may be needed for some of the attributed levels, especially milk production (>5 L/day vs. <2 L/day) and the resistance to disease (animals that “never get ill”). The authors should describe the selection of these thresholds and the extent to which they cover reasonable thresholds of variation under the production conditions used in the study area.

Authors’ Response:

We thank the reviewer for this important observation. We appreciate the opportunity to explain how attribute levels were determined and to justify the specific thresholds used.

General approach to attribute level selection: As stated in the Methods section of (lines 134 to 145), attribute levels were determined through Participatory Rural Appraisal (PRA), pairwise ranking with key informants, and consultations with researchers and livestock experts.

Justification for milk production thresholds (>5 L/day vs. <2 L/day):The milk production thresholds were selected based on empirical data from Ethiopia:

Upper level (>5 L/day): Based on daily milk yield of crossbred cows (50–87.5% exotic blood level), reported at 5.7–6.9 L/day (Haile et al., 2008).

Lower level (<2 L/day): Based on average daily milk yield of unimproved indigenous cows, reported at approximately 1.5 L/day (Mekuriaw & Harris-Coble, 2021).

Together, these thresholds capture the plausible range of variation from unimproved indigenous cattle to improved crossbred cattle under smallholder conditions. We have added a footnote below Table 2 providing this empirical justification (lines 150 to 151).

Justification for disease resistance definition: Disease resistance is already defined in operational and measurable terms in Table 2: The measurement is based on the frequency of visiting a veterinary clinic per year due to illness of a bull or cow. This provides a measurable and realistic range of variation under smallholder conditions.

In summary, attribute levels were selected through a rigorous process. Milk production thresholds are empirically grounded in Ethiopian production data, and disease resistance is defined operationally in Table 2. We are grateful to the reviewer for prompting this clarification.

There are no options for opting out (Reviewer #2)

In all choice tasks, none of the 384 respondents chose the opt-out option. This is a significant discovery which warrants further discussion. The authors must take into account the credibility of the alternatives, how the opt-out alternative was presented, or the understanding the respondents may have of the choice experiment.

Authors’ response:

We thank the reviewer for this important observation. This issue was also raised by Reviewer #1 (Comment #3), and we have provided a comprehensive response there. To avoid redundancy, we summarize the key points below.

Contextual Justification:

A zero or near-zero opt-out rate is uncommon in consumer-market DCEs, but it is behaviorally rational in the context of smallholder livestock breeding objectives. Previous studies in Ethiopia have reported similarly low opt-out rates: Abebe et al. (2020) reported <0.5% for sheep traits, and Kassie et al. (2009) reported 1.4% for indigenous cow traits. In our study, the opt-out was framed as "No genetic improvement or trait modification is needed for your herd relative to the presented options." Given the subsistence constraints of smallholder crop-livestock systems—where cattle are critical for food, income, and draft power—choosing the status quo was viewed as unrealistic and non-viable.

Credibility of alternatives:

The traits included were identified through Participatory Rural Appraisal (PRA) and expert consultation. Levels were set based on empirical data from Ethiopia (e.g., milk yield thresholds: Haile et al., 2009; Mekuriaw & Harris-Coble, 2021). The alternatives presented realistic and meaningful improvements over the status quo.

Presentation of opt-out and respondent understanding:

The opt-out alternative was explicitly framed to farmers as: “No genetic improvement or trait modification is needed for your herd relative to the presented options.” Since the objective of the study was to identify breeding preferences (traits to be genetically improved), framing the opt-out in this manner was highly appropriate.

Visual aids: Pictures and icons represented traits and levels; the opt-out was clearly labeled at the bottom of each choice card.

Enumerator training: All enumerators held a BSc in Animal Science and were trained to present all options fairly and transparently, without prompting or rushing.

Supervision: Field supervisors conducted random spot-checks to ensure all alternatives were presented transparently. The zero-frequency trend was uniform across all enumerators, ruling out isolated interviewer bias.

We have added a concise paragraph to the revised manuscript (lines 174 to 184) acknowledging the zero opt-out rate, explaining its behavioral rationality in the smallholder context, and noting that the opt-out was excluded from the final estimation matrix to ensure model convergence.

For the full detailed response and the exact manuscript text, please refer to our reply to Reviewer #1, Comment #4. We are grateful to the reviewer for prompting this clarification.

For breeding objective development implications will be discussed (Reviewer #2)

The manuscript suggests body size, milk yield and other characteristics as requirements for breeding objectives. The study doesn't, however, attempt to calculate genetic parameters, genetic correlations, or economic weights needed to develop a formal selection index. The authors should therefore temper some of the recommendations and provide some clarity that the results indicate priority traits and farmer/market preferences but are not an exhaustive economically optimized selection index.

Authors’ Response:

We thank the reviewer for this important observation. We agree that our study identifies priority traits and farmer/market preferences but does not calculate genetic parameters, genetic correlations, or economic weights needed to develop a formal selection index. We have tempered our recommendations and clarified the scope of our findings.

Clarification of Scope and Logical Relationship:

We would like to respectfully clarify the distinction between defining breeding objectives and developing a selection index:

Defining breeding objectives involves identifying the traits to be improved based on farmer preferences and market demand. This is a standalone, essential step in breeding program design. This is what we did.

Estimating genetic parameters and economic values must be done for specific traits—those identified through breeding objective definition. This is not part of our study.

Developing a selection index (or breeding scheme) requires identifying breeding objective traits, estimating genetic and phenotypic parameters, and deriving economic values if more than one trait is considered. This is beyond the scope of our study.

Therefore, defining breeding objectives is logically prior to—and essential for—genetic parameter estimation and economic weight derivation. Our study provides the essential foundation: priority traits and farmer/market preferences that determine which traits should be evaluated in subsequent genetic and economic analyses.

We have revised words related to selection index and genetic correlations in the Discussion and Conclusion sections to make clear that our study identifies priority traits.

Overall Recommendation (Reviewer #2)

The manuscript is of scientific interest and may provide benefit in designing conservation-based cattle breeding programs. The above problems are mostly related to problems of clarity, interpretation and strengthening of methodological justification and do not reflect fundamental flaws in the study design. Readdressing these points would significantly enhance the rigor and clarity of the manuscript.

Authors’ response:

We sincerely thank the reviewer for this encouraging assessment and for the constructive comments provided throughout the review. We are grateful that the reviewer considers the manuscript to be of scientific interest and of potential benefit for designing conservation-based cattle breeding programs. Point-by-point responses have been made to address each of the reviewer's comments. We believe these revisions have enhanced the rigor, clarity, and transparency of the manuscript, and we are grateful to the reviewer for the thoughtful engagement that made these improvements possible.

We have addressed each of the reviewer's comments in the point-by-point responses above. Key revisions include:

##########################################################################

Once again, we thank the Editor and the reviewers for their thoughtful and constructive feedback. Their comments have been invaluable in strengthening our manuscript, and we truly appreciate the time and expertise they devoted to this review process.

Abiy Shenkut Abebe

Corresponding author

Attachment

Submitted filename: Response to Reviewers.pdf

pone.0359944.s003.pdf (659KB, pdf)

Decision Letter 1

Julio Cesar de Souza

22 Sep 2026

Combining stated and revealed preferences to define smallholder cattle breeding objectives in northwest Ethiopia: Evidence for breeding program design

PONE-D-26-27814R1

Dear Dr. Abebe,

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Additional Editor Comments (optional):

Considering that the reviewers did not respond to the second round and that the adjustments were minor and were accepted by the authors, I am in favor of publishing the paper.

Regards

Reviewers' comments:

Acceptance letter

Julio Cesar de Souza

PONE-D-26-27814R1

PLOS One

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 File. Choice preference raw data.

    It is an Excel file (XLSX) containing raw data for bull and cow choice preference analysis.

    (XLSX)

    pone.0359944.s001.xlsx (510.2KB, xlsx)
    S2 File. Revealed preference raw data.

    It is an Excel file (XLSX) containing raw market data for hedonic pricing analysis.

    (XLSX)

    pone.0359944.s002.xlsx (113KB, xlsx)
    Attachment

    Submitted filename: Response to Reviewers.pdf

    pone.0359944.s003.pdf (659KB, pdf)

    Data Availability Statement

    All data supporting the findings are included in the paper and the supporting information.


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