3.1. Bearing Area

The equations for bearing area follow Tozer and Marsh’s (Reference Tozer and Marsh2018) model with the addition of separating the industry into organic and conventional. The total bearing area $(A_t^d)$ is the sum of the areas with trees that have reached full maturity ( $$j{j_\tau }$$ ) up to age J when trees are removed:

(1) $$A_t^d = \mathop \sum \limits_{j = {j_\tau }}^J A_t^{j,d}\;\;,\;\quad d = \left\{ {o,c} \right\}$$

where d=o represents organic and c represents conventional production methods, and $A_t^{j,d} = A_{t - 1}^{j - 1,d} - RM_t^{j,d} + A_{t - 1}^{{j_\tau } - 1,d}$ . $A_{t - 1}^{j - 1,d}$ is the previous year’s bearing area. $RM_t^{j,d}$ is the area of trees removed in the current year. The final term, $A_{t - 1}^{{j_\tau } - 1,d}$ , represents the area planted $\tau $ years ago that reaches productive age in $t$ .

The change in total bearing area $\left( {\Delta A_t^d} \right)$ is defined by,

(2)) $$\Delta A_t^d = A_{t - 1}^{{j_\tau } - 1,d} - \mathop \sum \limits_{j = {j_\tau }}^J RM_t^{j,d}$$

An alternative form, shown in (3), employs the difference between new plantings that reaches productive age in t ( $NP_{t - {j_\tau }}^d$ ) and total removals.

(3) $$\Delta A_t^d = NP_{t - {j_\tau }}^d - \mathop \sum \limits_{j = {j_\tau }}^J RM_t^{j,d}.$$

Change in bearing area of organic and conventional apples is used for estimation because data on absolute levels are unavailable.

3.2. Apple Production and Farm-level Supply

As with the model of Tozer and Marsh (Reference Tozer and Marsh2018), the total production $(TP_t^d)$ of apples in each year is given by,

(4) $$TP_t^d = TA_t^d*AY_{t - 1}^d*\left( {1 + {g^d}} \right),\;\;d = \left\{ {o,c} \right\}$$

where $AY_{t - 1}^d$ is the yield per acre in the previous year, and ${g^d}$ is the annual yield growth rate for each apple product. It is assumed that the yield per acre will grow over time because of the replacement of old low-density plantings by new high-density orchard systems, increasing the yield per acre. ^{Footnote 2} To our knowledge, there are no reliable data on the share of low- and high-density orchards. Therefore, the annual growth rate of yield per acre is considered appropriate for estimating the dynamics of apple production decisions.

In this model, farm-level supply ( $FD_t^d$ ) for fresh apples is given by,

(5) $$FD_t^d = {f_d}*TP_t^d$$

where ${f_d}$ is the proportion of production destined to the fresh market, which is assumed to be 0.86 for organic and 0.69 for conventional production. This is based on USDA data from 2011 to 2016 (USDA-NASS 2011–2016).

Finally, the total supply of apples in the U.S. is given by,

(6) $$TSA_t^d = FS_t^d + FM_t^d,{\rm{\;}}$$

where $FM_t^d = s_t^{IM,d}\left( {p_t^{W,d} - c_t^d} \right)$ is the quantity of imported apples, $s_t^{IM}$ is the imported apple function of prices and costs, $p_t^{W,d}$ is the domestic price at the wholesale level, and $c_t^d$ is the trade costs. The quantity of imported apples is assumed to be determined at the wholesale level.

3.3. Apple Demand at the Retail Level

Individual demand for apples is based on the own prices of organic and conventional production, prices of substitutes (e.g., organic prices for conventional apples), and household income. The demand function is therefore:

(7) $$q_t^d = f_t^d\left( {p_t^{R,o},p_t^{R,c},{I_t}} \right),{\rm{\;\;d}} = \left\{ {{\rm{o}},{\rm{c}}} \right\}\;,$$

where $p_t^{R,o}$ and $p_t^{R,c}$ are the retail prices of organic fresh apple and conventional fresh apple, respectively, and ${I_t}$ is the income.

The utility function for consumers is assumed to be homothetic following Tozer and Marsh (Reference Tozer and Marsh2018), and therefore the aggregate individual demand function is given by:

(8) $$\;QD_t^d = \mathop \sum \limits_{h = 1}^H q_{t,\;h}^d = q_t^d*{H_t}$$

where H is the population, and h represents individual consumers.

Finally, the total demand for apples in the U.S. is represented by,

(9) $$TDA_t^d = QD_t^d + FX_t^d$$

where $FX_t^d = s_t^{EX,d}\left( {p_t^{W,d} + e_t^d} \right)$ is the quantity demanded by the international market, $\;s_t^{EM}$ is the exported apple function of prices and tariff, $p_t^{W,d}$ is the price at the wholesale level, and $t_t^d$ is the tariff, or the tariff equivalent, of trade barriers. The quantities of exported apples are assumed to be determined through wholesale-level prices.

3.4. Intermediaries and Marketing Margins

There are three types of prices: the farmgate price ( $p_t^{F,d}$ ), wholesale-level prices ( $p_t^{W,d}$ ), and retail price ( $p_t^{R,d}$ ). The farm-to-retail marketing margin comprises two components, the farm-to-wholesale margin (MMF) and the wholesale-to-retail margin (MMR). Thus, the wholesale price follows,

(10) $$p_t^{W,} = p_t^{F,d} + MMF_t^d$$

where $MMF_t^d = \gamma _i^{MMF.d}{\rm{*}}p_t^{W,d}$ , and $\gamma _i^{MMF.d}$ is the proportion of wholesale prices that are distributed to farm-to-wholesale margins.

The retail price is

(11) $$p_t^{R,d} = p_t^{W,d} + MMR_t^d$$

where $MMR_t^d = \gamma _i^{MMR,d}{\rm{*}}p_t^{R,d}$ and $\gamma _i^{MMR.d}$ is the proportion of retail prices that are distributed to wholesale-to-retail margins.

3.5. Market-clearing

Import and export decisions are made at the wholesale level, so it is assumed that the apple market clears at the wholesale level. Therefore, the market-clearing condition follows:

(12) $$TDA_t^d = TSA_t^d\;,$$

or

(13) $$QD_t^d + FX_t^d = FS_t^d + FM_t^d$$

3.6. Equilibrium Displacement Model

The farm-level supply for fresh apples is given by $FD_t^d = {f_d}*TP_t^d$ . The total logarithmic differential equation is as follows:

(14) $$EFS_t^d = ETP_t^d$$

where E represents the total logarithmic differential of each equation.

The total demand function for domestically grown apples is given by $\;QD_t^d = q_t^d*{H_t}$ , where $q_t^d = f_t^d\left( {p_t^{R,o},p_t^{R,c},{I_t}} \right)$ . Therefore, logarithmically differentiating demand results in the following expression:

(15) $$EQD_t^d = E{H_t} + {\eta ^{o,d}}*Ep_t^{R,o} + {\eta ^{c,d}}*Ep_t^{R,c} + {\nu ^d}*E{I_t}$$

where and ${\eta ^{c,d}} = {{\partial f_t^d} \over {\partial p_t^{R,c}}}{{p_t^{R,x}} \over {q_t^d}}$ represent the own-price elasticities and the cross-price elasticities, and ${\nu ^d} = {{\partial f_t^d} \over {\partial {I_t}}}{{{I_t}} \over {q_t^d}}$ is the income elasticity.

To depict international trade, we denote the function of imported apples and that of exported apples by $FM_t^d = s_t^{IM,d}\left( {p_t^{W,d} - c_t^d} \right)$ and $FX_t^d = s_t^{EX,d}\left( {p_t^{W,d} + e_t^d} \right)$ , respectively. Taking total logarithmic differentiation gives the following:

(16) $${\rm{E}}FM_t^d = {\mu ^{IM,d}}{\left( {p_t^{W,d} - c_t^d} \right)^{ - 1}}\left( {p_t^{W,d}Ep_t^{W,d} - dc_t^d} \right)$$

and

(17) $${\rm{E}}FX_t^d = {\mu ^{EX,d}}{\left( {p_t^{W,d} + e_t^d} \right)^{ - 1}}\left( {p_t^{W,d}Ep_t^{W,d} + de_t^d} \right)$$

where ${\mu ^{IM,d}} = {{\partial s_t^{IM,d}} \over {\partial \left( {p_t^{W,d} - c_t^d} \right)}}{{p_t^{W,d}} \over {FM_t^d}}$ and ${\mu ^{EX,d}} = {{\partial s_t^{EX,d}} \over {\partial \left( {p_t^{W,d} + e_t^d} \right)}}{{p_t^{W,d}} \over {FX_t^d}}$ are the price elasticities of imported and exported apples, respectively, with respect to wholesale price.

The apple supply from the domestic farm is given by $QS_t^d = FD_t^d + FM_t^d - FX_t^d$ , which is the sum of domestic supply and imported supply minus export demand. The total logarithmic differential equation for domestic supply captures the change in each variable multiplied by the original level of each divided by the total supply as shown in (18). The intuition is that the effect of a given change on the total depends on how big of a share that variable represents.

(18) $${\rm{E}}QS_t^d = {{FS_t^d} \over {QS_t^d}}EFD_t^d + {{FM_t^d} \over {QS_t^d}}EFM_t^d - {{FX_t^d} \over {QS_t^d}}EFX_t^d.$$

The relationship between the farmgate and wholesale price and between the wholesale and retail price is represented by $\left( {1 - {\gamma ^{MMF.d}}} \right)p_t^{W,d} = p_t^{F,d}$ and $\left( {1 - {\gamma ^{MMR,d}}} \right)p_t^{R,d} = p_t^{W,d}$ , respectively. Taking total logarithmic differentiation of price equations gives the following:

(19) $$\left( {1 - {\gamma ^{MMF.d}}} \right)Ep_t^{W,d} = {{p_t^{F,d}} \over {p_t^{W,d}}}Ep_t^{F,d} + {\gamma ^{MMF.d}}*E{\gamma ^{MMF.d}}$$

and

(20) $$\left( {1 - {\gamma ^{MMR,d}}} \right)Ep_t^{R,d} = {{p_t^{W,d}} \over {p_t^{R,d}}}Ep_t^{W,d} + {\gamma ^{MMR,d}}*E{\gamma ^{MMR,d}}.$$

Since we have market-clearing condition as $TDA_t^d = TSA_t^d$ , or $QD_t^d + FX_t^d = FD_t^d + FM_t^d$ , the total logarithmic differentiation equation is then:

(21) \begin{align}E{H_t} &+ {\eta ^{o,d}}*Ep_t^{R,o} + {\eta ^{c,d}}*Ep_t^{R,c} + \nu _i^d*E{I_t} = EFD_{i,t}^d\\ &\quad + {{FM_t^d} \over {QS_t^d}}\left[ {{\mu ^{IM,d}}{{\left( {p_t^{W,d} - c_t^d} \right)}^{ - 1}}\left( {p_t^{W,d}Ep_t^{W,d}c_t^d - dc_t^d} \right)} \right]{\rm{ }}\\ &\quad - {{FX_t^d} \over {QS_t^d}}\left[ {{\mu ^{EX,d}}{{\left( {p_t^{W,d} + e_t^d} \right)}^{ - 1}}\left( {p_t^{W,d}Ep_t^{W,d} + de_t^d} \right)} \right].\end{align}

Using the market-clearing conditions and price relationship equations, we solve market-clearing prices at different levels of markets (farm, wholesale, and retail levels; $p_t^{F,d},\;p_t^{W,d},\;p_t^{R,d}$ ), quantities of supply and demand inside of country ( $FD_t^d,QD_t^d$ ), and quantities of imports and exports ( $FM_t^d$ , $\;FX_t^d$ ).

4.1. Data

A dynamic model of the apple industry is parameterized using data from the U.S. apple industry. The fresh apple industry is separated into two sectors according to the production method: organic and conventional.

We employ the “utilized fresh apple production” from the Noncitrus Fruits and Nuts (USDA-NASS 2016) and Organic Survey (USDA-NASS 2016) as the farm-level supply of apples. Imports and exports of apples are obtained from the USDA-ERS (2016). For the farm-level prices of apples, this study uses the value of sales per pound from the USDA Noncitrus Fruits and Nuts (USDA-NASS 2016) and the Organic Survey (USDA-NASS 2016). Retail prices of apples are obtained from the USDA-AMS (2016). The wholesale prices are calculated using the information in Tozer and Marsh (Reference Tozer and Marsh2018). They estimated that the average wholesale-to-retail margin of the retail price is about six times the farm-to-wholesale margins of the retail price.

Because data to forecast the bearing acres of organic apples in the U.S. are limited, we employ Washington State organic apple cultivated area in acres. We also use the free on board price in $/40-lb box data by nine apple varieties from various Washington State University Tree Fruit Research and Extension reports considering 2004–2018 (Granatstein and Kirby, Reference Granatstein and Kirby2019). Since Washington State produced about 97% of the fresh organic produce in the country in 2019, according to USDA-NASS (2019), it would be most appropriate to estimate organic bearing acres given the data available. Due to data limitations, we also use the data on the entire apple industry (including both organic and conventional sectors) as a proxy for conventional production. The bearing acres of conventional apples accounted for 95% of total apple acres in 2015 (USDA-NASS 2015). We use the bearing acres and grower price data from 1980 to 2015 from the USDA Noncitrus Fruits and Nuts annual reports to estimate the function of conventional bearing acres.Footnote ³

Then, the model is calibrated as an EDM using the parameters in Table 1. We utilize published elasticities of demand. Few studies have estimated demand elasticities for organic and conventional apples separately. We used the estimates of Lin et al. (Reference Lin, Yen, Huang and Smith2009) as the retail price elasticities of fresh apples in the demand model.Footnote ⁴ Income elasticities for fresh apples are also from the estimates of expenditure elasticities in Lin et al. (Reference Lin, Yen, Huang and Smith2009).

Table 1. Parameter values used in the simulation

Sources:

^a Lin et al. (Reference Lin, Yen, Huang and Smith2009);

^b Tozer and Marsh (Reference Tozer and Marsh2018);

^c Authors assumed these values.

Import and export elasticities are also needed to complete the model. Roosen (Reference Roosen1999) reported import elasticities for fresh apples as −0.609. Seale, Sparks, and Buxton (Reference Seale, Sparks and Buxton1992) estimated demand elasticities for U.S. apples between −0.90 and −1.62 in Canada, the U.K., Singapore, and Hong Kong. Richards, Van Ispelen, and Kagan (Reference Richards, Van Ispelen and Kagan1997) estimated elasticities for fresh apples at −1. Given the range of the calculated results, Tozer and Marsh (Reference Tozer and Marsh2018) assumed the import and export elasticities as −1 for U.S. fresh apples. Previous studies estimated that the elasticities of organic apples are larger than those of conventional apples (Lin et al., Reference Lin, Yen, Huang and Smith2009). Following these studies, we set the export (import) elasticities at −1.3 (1.3) for organic and −1 (1) for conventional apples.

4.2. Scenarios

We examine a limited number of scenarios that offer a reasonable representation of pest or disease outbreaks that are a balance of being similar to scale to historical examples and also relevant to future shocks under climate change for the U.S. apple industry. The baseline scenario represents the economic outcomes resulting from a situation in which the apple consumer population increases annually by 0.9%, and the annual apple yield growth rate is 1% due to farms’ strategies of planting and removal.Footnote ⁵ The future climate-induced exogenous shocks are applied to this baseline scenario.

The second scenario contemplates a situation where the organic and conventional apple-bearing areas are reduced by 5% and 2% due to pest and disease outbreaks. The justification for this scenario relies on the evidence from Michigan. In 2000, fire blight caused the removal of about 400,000 apple trees covering approximately 2,000 acres, which was 4% of the apple-bearing area in Michigan (Longstroth, Reference Longstroth2001). Over the years, after the fire blight spread, it has been scarce in northern Michigan due to the cooler weather, which has helped keep the bacteria. However, warmer, wetter temperatures of late spring and early summer 2019 have caused fire blight to become more prevalent in the region. As the climate crisis is expected to bring longer, warmer, and rainier springs, fire blight that spreads quickly during the blooming season is more likely to increase the risk of infecting trees (Vansickle, Reference Vansickle2019). We assume that the damage to the organic apple area is more prominent than the conventional apple area, considering the number of limitations in treating diseases for organic apples. For example, the antibiotics to control fire blight have been removed from the list of allowed materials by the National Organic Standards Board in the U.S. As a result, these antibiotics have been prohibited for organic orchards since October 2014 (Granatstein, Reference Granatstein2019).

The third scenario represents a situation in which the organic apple yield is reduced by 10%, and the conventional apple yield is reduced by 2%. The recurrence of the pest codling moth in U.S. apple orchards justifies this scenario. The codling moth is distributed worldwide; the number of codling moth generations depends mainly on the length of the season (when exactly the apples are to be harvested) and the climate conditions of the production environment (Stoeckli et al., Reference Stoeckli, Hirschi, Spirig, Calanca, Rotach and Samietz2012). Stoeckli et al. (Reference Stoeckli, Hirschi, Spirig, Calanca, Rotach and Samietz2012) showed that under future conditions with increased temperatures, the present risk of below 20% for a pronounced second generation would increase to 70–100%, and the risk of an additional third generation will increase from presently 0–2% to 100%. Projected warming patterns will result in forced applications of additional spray to control for second and third generations. Consumers are increasingly demanding fresh fruits with a reduced number of chemical applications. Therefore, only limited options would be available for growers to manage pests and diseases (Jones et al., Reference Jones, Steffan, Hull, Brunner and Biddinger2010; Simon et al., Reference Simon, Brun, Guinaudeau and Sauphanor2011), which could reduce apple yields. Under this scenario, a decline in yields of organic apples is more prominent than those of conventional apples. Previous research suggests that fruit damage from pests and diseases is more severe in organic (between 0.1% and 23.7%) compared to conventional (between 0% and 2.1%) production methods (Simon et al., Reference Simon, Brun, Guinaudeau and Sauphanor2011).Footnote ⁶

The fourth scenario presents a situation where organic apple growers face a pest or disease outbreak and decide to increase the number of chemical applications or use synthetic chemicals not approved for organic production. The bacteria (E. amylovora) causing fire blight in apple and pear trees is difficult to control without antibiotics. With new regulations in the U.S. preventing antibiotic use in organic orchards after 2014, however, organic farmers face a difficult choice—spray their apple plants with antibiotics and lose their organic certification or risk the disaster of a fire blight outbreak. Moreover, since the current production system for apples and pears was built on the high yields that were only possible with this practical tool against fire blight, even small outbreaks of fire blight can cause significant yield losses. For example, a 10% fire blight infection that has spread to the roots of a 4-year-old apple orchard can result in losses of around $12,000–15,000 per acre (Johnson, Reference Johnson2021). Therefore, in some pest outbreaks, organic farmers use antibiotics to control the devastating disease, deterring compliance with organic standards. Under this fourth scenario, organic apple production would decrease by 5%, increasing conventional and declining organic production.

The fifth scenario investigates the response of apple-importing countries to pest or disease outbreaks. The spread of pests and diseases results in increased concerns from apple-importing countries to introducing and distributing new pests and diseases in their countries. For example, China, British Columbia, and Canada require all apples shipped from the U.S. to be certified as apple maggot-free. Washington State has implemented a quarantine program ^{Footnote 7} to prevent apple maggot dissemination (Hong et al., Reference Hong, Gallardo, Fan, Atallah and Gómez2019). Following Hong et al. (Reference Hong, Gallardo, Fan, Atallah and Gómez2019), apples from quarantine areas must be stored at 1°C for 40 days, with the cost burden from cold treatment at $11 per 40 lb box. Under the fifth scenario, all producers must implement cold treatment to export fresh products and face the cost ($0.275 per pound) as a trade barrier.

The exogenous shocks to the system occurred in 2016 under scenarios 2–5, and all models are simulated for over 10 years. Although there are still many unknowns related to climate change, a more advanced, proactive, and scientific approach will be applied to deal with the pest and disease outbreak-related problems caused by climate change. With this assumption, we assumed the shock is not a continuing event in each scenario.

5.1. Bearing Acres Model

From the data listed above, we modeled the bearing acres for organic and conventional industries, respectivelyFootnote ⁸ :

(22)

(23)

where Adj. ${R^2}$ is 0.689 (for the organic model) and 0.706 (for the conventional model), and ***, **, and *indicate significance with 99%, 95%, and 90% confidence, respectively. $premiu{m_t}$ = $\mathop \sum \nolimits_{j = 0}^2 \left( {p_{t - j}^{F,o} - p_{t - j}^{F,c}} \right)/3$ represents the average organic price premium over 3 years, and $p_t^{F,d}$ represents the farmgate prices of apples where d={o, c}.

Farms need 3 years to transition from conventional to certified organic production in the U.S., with no regulation for the conventional sector. Therefore, it is reasonable to assume that the bearing area (acreage) and the output prices for organic during the first 3 years of production, that is, the years of transition to organic, are more volatile than conventional production. This study assumes that for organic, the prices change considering lags of 2, 3, and 5 years, and the acreages change considering lags of 1, 2, and 5 years. This study also assumes that for conventional, the price changes considering lags of 1 and 2 years and acreage changes at a lag of 1 year. In sum, the bearing area of conventional production is quickly affected by changes during the previous period. Organic production takes longer to adjust due to the 3-year transition requirement.

5.2. Simulation Results

Results from the baseline scenario, without any exogenous shock, show that the bearing area of organic apples will increase while the area of conventional apples will decrease. The average annual growth rates of the bearing acreage of organic apples are 1.6%, and conventional apples are −1.8% (see Table 2). Organic apple production increased by approximately 30% throughout the study, while conventional fresh apples decreased by about 8%. However, the share for conventional apples will still be more prominent because the bearing acres and production of the conventional production will still account for over 90% of the apple industry.

Table 2. Trends of bearing area and apple supply without shock, baseline

As shown in Table 3, the price for organic apples will decrease gradually as production grows, while conventional apple prices increase as production is reduced. Therefore, the organic price premium will decrease gradually over the study period. The net trade of organic apples increases, whereas the net trade of conventional apples decreases. This may be because declining prices of domestic organic crops make domestically grown crops more attractive; consequently, the imports of organic crops decrease, and exports increase. Domestic conventional crops become less appealing to foreign consumers due to increased prices; thus, exports decrease, and imports increase. Results in Appendix A are aligned with the results in this section.

Table 3. Trends of prices, exports, and imports without shock, baseline

In scenario 2, considering the negative supply shock on the bearing acreage, all the net changes in economic surplus are negative in both the organic and conventional sectors (see Table 5 and Figure 1). Figure 1 shows trends for consumer and producer surpluses. The changes in surpluses for conventional and organic industries are plotted on the left and right sides of the graphs. Consumers are worse off since decreased production increases retail prices relative to baseline. Domestic consumption for both production methods decreases as higher prices require consumers to increase their food expenditure, and, therefore, the consumer surplus decreases.

Table 4. Comparison of net-trade effects between scenario 2 and baseline

Table 5. Net present value of welfare impacts ^{Footnote 10}

Notes: The discount rate is set as 4%.

Figure 1. Change in economic surplus under scenario 2: negative supply shock on the bearing acreage (5% and 2% reductions of organic and conventional bearing acreage, respectively).

On the other hand, the positive effects on producer surplus signal that the price increases outweigh the losses from the reduced production. However, it would be possible that subsequent replanting follows, leading to re-gains in the bearing area and allowing production to increase and prices to decrease, gradually decreasing producer surplus. As the price increases, there also exists a negative net-trade effect, where imports of apples increase while exports decrease in both organic and conventional industries (see Table 4). This is because higher prices for domestic crops make foreign crops relatively more attractive to domestic consumers, while domestic crops become less appealing to foreign countries. To test the robustness of these results, additional analyses considering different own and cross-price elasticities are presented in Appendix A.Footnote ⁹

Figure 2 shows the results of changes in yields represented by scenario 3. Consumer surplus is reduced right after the yield shock due to increases in retail prices and then rebounds and remains relatively constant in the following periods in both sectors. The change in the producer surplus also rebounds right after the yield shock, but the recovery speed is relatively slow in the conventional sector. This is because a vast yield shock in the organic industry leads to higher increases in retail prices and organic production than conventional. To test the robustness of these results, additional analyses considering different own and cross-price elasticities are presented in Appendix A.

Figure 2. Change in economic surplus under scenario 3: negative supply shock on the yields (10% and 2% reductions in organic and conventional production, respectively).

Figure 3 shows the welfare changes under scenario 4, where some initially grown organic apples are sold as conventional. Consumer and producer surpluses for organic apples decrease while the surpluses of conventional apples increase right after the shock. The positive effects on surplus for the conventional sector suggest that the impacts of an increase in production sold as conventional outweigh the losses from the decreased prices.

Figure 3. Change in economic surplus under scenario 4: 5% of initially grown organic apple production is sold as conventional.

From the trade cost shock in scenario 5, organic and conventional industries show similar results (Figure 4). As the trade costs are imposed on organic and conventional apples, the exports of both apples decrease right after the shock. Immediately after the trade cost shock, declines in exports are rerouted to domestic supply, reducing the equilibrium prices in both sectors; producer surpluses fall while consumer surpluses increase.

Figure 4. Change in economic surplus under scenario 5: apple-importing countries must implement cold treatment to export fresh products.

Table 5 reports the net present values of welfare changes over the analysis period. For the organic industry, a negative supply shock on the bearing acreage represented by scenario 2 has the largest impact on surplus (-$72.23 million). In comparison, the trade cost shock in scenario 5 has the largest effect on conventional ($472.36 million). According to the USDA (2022), aggregate sales of all apples and certified organic apples were $3,032 and $628 million, respectively, in 2021. Therefore, welfare changes under scenarios 2 and 5 can be considered a means for the organic and conventional industries.