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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Jalpaiguri, India
* Corresponding author.
†These authors contributed equally.
$ e.ahmed@fci-cu.edu.eg (E. Ahmed); mamdouh.gomaa@mu.edu.eg (M. Gomaa); ashraf.darwish.eg@ieee.org (A. Darwish);
aboitcairo@cu.edu.eg (A. E. Hassanien)</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Detecting the Factors Afecting Carbon Emissions in Food Recipes using Regression Models and Explainable Artificial Intelligence</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Eman Ahmed</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mamdouh Gomaa</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ashraf Darwish</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aboul Ella Hassanien</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Computer Science Department, Faculty of Science, Minia University</institution>
          ,
          <country country="EG">Egypt</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Faculty of Computers and Artificial Intelligence, Cairo University</institution>
          ,
          <country country="EG">Egypt</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Faculty of Science, Helwan University</institution>
          ,
          <country country="EG">Egypt</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Scientific Research School of Egypt (SRSEG), https://egyptscience-srge.com/</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>In this paper, we would like to investigate what factors afect Green House Gas (GHG) emissions in diferent food recipes from various cuisines. Feature selection is performed using correlation analysis. After that six diferent regression models are implemented including linear models such as linear regression, ridge regression and lasso regression models, and non-linear regression models including decision trees, random forest and gradient boosting. Explainable Artificial Intelligence (XAI) is applied by using the SHAPely method to study the impact of each feature on carbon emissions. Results show that high priced categories have high GHG emissions and vice versa.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Correlation</kwd>
        <kwd>Explainable AI</kwd>
        <kwd>Food</kwd>
        <kwd>GHG emissions</kwd>
        <kwd>regression</kwd>
        <kwd>SHAP</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The food industry is a major contributor to global GHG emissions, with impacts at each stage of the
food production, processing, and distribution process [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. During food processing, GHG emissions
are a result of the energy required to transform raw ingredients into completed food items. This
covers cooking, packaging, refrigeration, and other processes that frequently use fossil fuels [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. GHG
emissions increase during the transportation of food from fields to processing plants, retail locations, and
ultimately consumers, particularly when long-distance shipping is involved. The mode of transportation
afects emissions, with air freight typically having the highest carbon footprint [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>Another source of GHG emissions is wasted food. When food decomposes in landfills, it emits
methane. Moreover, producing unconsumed food wastes all resources including land, water, and energy.</p>
      <p>
        A lot of food items include packaging, which takes resources and energy to make. Additional GHG
emissions are caused by the manufacture and disposal of packaging, particularly plastics, particularly
when these processes are not handled responsibly [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        You can cook the same recipe in a variety of ways by mixing the ingredients. Furthermore, there are
countless methods to prepare meals using those items because they can be prepared in diferent ways.
Numerous recipes are accessible online, and they include a vast amount of material that enables both
amateurs and experts to explore diferent components in various cuisines. The researchers are able to
identify both the similarities and variances among the various cuisines [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>In this paper, we investigate the main factors that result in high GHG emissions to be able to provide
recommendations on how to minimize the emissions. Diferent cuisines with various ingredients are
tested. Regression models are employed to predict the amount of emissions given a set of chosen
features. The set of the selected features are obtained using correlation analysis.</p>
      <p>This paper is structured as follows: section 2 will explore the related work food industry and GHG
emissions. In section 3, the basics of the used regression models are explained. Section 4 will introduce
the methodology and experimental results details are discussed in Section 5. Finally, the conclusions
and future work are presented in section 6.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>This section covers the literature review on using machine learning and deep learning in the food
industry with a focus on topics related to carbon emissions.</p>
      <p>
        The food business can benefit from a number of opportunities presented by AI integration along the
supply chain [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This can entail outlining waste reduction tactics for the retail industry. Reducing food
loss and waste, which account for 8%–10% of anthropogenic GHG emissions [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and one-third of the
food produced for human consumption, is in line with waste prevention of the EU Waste Framework
Directive’s waste hierarchy priority [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and UN Sustainable Development Goal (12.3) [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        This study [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] develops a tracking system for carbon footprint utilizing image recognition using
convolutional neural network specifically, using Inception-V3 model to investigate and enhance the
benefits of environmentally sustainable eating practices. The suggested model’s accuracy of 94.79%,
according to the results, shows that it can successfully identify diferent kinds of food. The tracking
device was tested for two weeks, during which time the study participants measured overall carbon
footprint decreased by 22.25%.
      </p>
      <p>
        A comprehensive life cycle analysis of "Foodforecast" is presented in [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. It proposes a machine
learning (ML) cloud service that optimizes sales forecasting to minimize food waste in bakeries. It
addresses the efect of four factors including global warming, cumulative energy demand, abiotic
resource depletion, and freshwater eutrophication. Using real-world case study data, the evaluation
covers the indirect advantages of avoiding bakery returns in comparison to conventional ordering
techniques, as well as the direct environmental efects of the used ML model and the hardware that
underlies the system. According to sales estimates, it reduced bakery returns, mostly of bread and
rolls, by an average of 30% in 2022. Across impact categories and return utilization scenarios, the
associated environmental benefits greatly exceeded the direct consequences of the system by an order
of magnitude.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Dataset</title>
      <p>
        The used dataset can be found in [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. There are 47 fields in the dataset, they can be divided into four
categories: Environmental Impact Analysis, Detailed Ingredient and Nutritional Information, Nutrition
and Keywords, and General Information. It consists of 388 recipes from 5 diferent recipe cuisines.
Each recipe has a set of features including cooking time (min), the number of servings, nutritional
composition of each dish, the weights of each ingredient in the dish, price needed to buy the ingredients
utilized in the dish, calories (Kcal). This is on top of nutrients like energy in kilocalories (kcal), fat
in gram (g), protein in (g), and carbohydrates in (g). Vitamins are then assessed, particularly vitamin
A in micro-gram ( g), vitamin C in milli-gram (mg), and vitamin E in (mg). The amounts of Folic
Acid in ( g), Calcium in (mg), Dietary Fiber in (mg), Iron in (mg), Zinc in (mg), Magnesium in (mg),
Potassium in (mg), Saturated Fats in (g), Salt Equivalent in (g) and Cholesterol in (mg) were evaluated
in the mineral category.
      </p>
      <p>Dishes are classified into 11 main categories based on the ingredients of each dish, the categories are
beef, pork, chicken, minced meat, fish, grain, processed meat, bean, mushroom, vegetables, and egg.
Food loss calculated from (leftovers, direct waste, excessive removal) is included. The carbon footprints
of the following processes: production, cooking, sales, and disposal are all included in the total quantity
of greenhouse gas emissions.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Materials and Methods</title>
      <p>In this paper, we use correlation analysis for feature selection then regression models are trained and
tested for predicting the amount of carbon emissions for a given food recipe. After that, the performance
of the models is compared. SHAP method will be applied to the model that results in minimum squared
error to further interpret the impacts of diferent features on the prediction of the amount of emissions.</p>
      <sec id="sec-4-1">
        <title>4.1. Data Preprocessing</title>
        <sec id="sec-4-1-1">
          <title>4.1.1. 1- Log transformation to reduce skewness</title>
          <p>
            Reduces skewness in data, particularly for features with high skew (i.e., features with a skewness greater
than 0.5). This transformation is efective for variables with long-tailed distributions, making them
closer to a normal distribution and potentially improving model performance [
            <xref ref-type="bibr" rid="ref15">15</xref>
            ].
          </p>
        </sec>
        <sec id="sec-4-1-2">
          <title>4.1.2. 2- Outlier Removal Using Z-Score</title>
          <p>
            Removes data points considered outliers to prevent them from skewing the model’s training. Outliers
are identified as values with Z-scores greater than 3 or less than -3. The Z-score standardizes data points
by calculating how standard deviations are away from the mean. Data points with absolute Z-scores
above 3 are typically considered outliers and are removed from the dataset. The Z-score is calculated by
the following equation [
            <xref ref-type="bibr" rid="ref16">16</xref>
            ] [
            <xref ref-type="bibr" rid="ref17">17</xref>
            ].
          </p>
          <p>=
 − 

where  is the Z-score,  is the value being calculated,  is the mean, and  is the standard deviation.</p>
        </sec>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Feature Selection</title>
        <p>
          After the preprocessing phase, feature selection was performed using correlation analysis [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ] which
efectively reduced the final selection to some key features. These selected features have correlation
less than -0.3 or greater than 0.3, they included ‘price’, ‘zinc in (mg)’, ‘Protein in (g)’, ‘Energy (g)’,
‘calories in (Kcal)’, ‘Magnesium in (mg)’, ‘Potassium in (mg)’, ‘Saturated fat in (g)’, ‘iron in (mg)’,
        </p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Regression Models</title>
        <p>
          The dataset is splitted into training and test sets. The training set with the selected features are used to
train the regression models. After that, the test set is used to test the models. Six regression models
including Linear models including linear regression, Ridge Regression [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] and Lasso Regression [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ],
and non-linear models including Decision Tree [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ], Random Forest [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ], and Gradient Boosting. Grid
search with 5-fold cross validation is used to select the hyper-parameters of the models.
(1)
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Experimental Results</title>
      <p>We have used 6 regression models including Linear, Ridge Regression, Lasso Regression, Decision Tree,
Random Forest, and Gradient Boosting. Grid search with 5-fold cross validation is used to select the
hyper-parameters of the models. For Ridge regression, L1 norm coeficient is chosen from 0.1 to 10
with step 1. For Lasso regression, L2 norm coeficient is selected from 0.01 to 1 with step 0.1. In case of
decision trees, the maximum depth was chosen from 10 or 20 or 30. For random forest, the number
of trees had a lower bound of 100 and upper bound of 200 and the maximum depth was either 10 or
20. For gradient boosting, the number of estimators is chosen from 100 to 200 and the learning rate
has a lower value of 0.01 and upper value of 1 searched with step 0.1. Mean Squared Errors have been
calculated on the test set and are shown in Figure 2.</p>
      <p>It can be seen that linear regression models perform better than non-linear regression models. Lasso
regression has the minimum mean squared. Accordingly, we will get the SHAP values for Lasso
regression to get more interpretation on which features impacted its decisions. Figure 3 shows the
SHAP summary plot. It is noticed that the price is the most feature having impact on the amount of
GHG emissions. When price has high values (red), it is associated with positive SHAP values, which
means that it results in increasing the amount of GHG emissions.</p>
      <p>On the other hand, the low values of price (blue) have low SHAP values, which indicate that it results
in low GHG emissions. With more inspection of the summary plot, it is noticed that categories that
have high price afect the prediction of the amount of GHG emissions.</p>
      <p>Figure 4 shows the average GHG emissions by cuisine category and identifies the cuisines with the
highest and lowest average GHG emissions, from this figure we can observe that the beef category has
high emissions and egg category has low emissions. Also, Figure 5 depicts the average prices of each
category showing that Beef is the most expensive while egg is the least. Accordingly, these analyses
support the results from SHAP summary plot of the Lasso regression model.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion and Future Work</title>
      <p>In this paper, diferent regression models are applied to predict the amount of GHG emissions using
features selected using correlation analysis. Lasso regression model obtained the minimum mean squared
error; hence, XAI technique (SHAP) is used to interpret the most features impacted the prediction. Price
was the feature that had most impact on the prediction of the amount of GHG emissions. Hence, we
conclude that food recipes that have ingredients belonging to expensive categories result in higher GHG
emissions. In the future, we would experiment with larger datasets to derive more relations between
the ingredients and GHG emissions.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the author(s) used QuillBot in order to paraphrase. After using
this tool/service, the author(s) reviewed and edited the content as needed and take(s) full responsibility
for the publication’s content.</p>
    </sec>
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