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    <journal-meta>
      <journal-title-group>
        <journal-title>Rennes, France, June</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Abstract - Alternative Taxation Scheme for Controlling Rebound Efects in Streaming Services</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Gabriel Andy Szalkowski</string-name>
          <email>gabriel.szalkowski@ntnu.no</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jan Arild Audestad</string-name>
          <email>audestadj@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Trondheim</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Norway</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Trondheim</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Norway</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Rebound Efects, Digital Technologies, Compartmental Modeling, Rebound Tax</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Information Security and Communication Technology, Norwegian University of Science and Technology</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>In: B. Combemale</institution>
          ,
          <addr-line>G. Mussbacher, S. Betz, A. Friday, I. Hadar, J. Sallou, I. Groher, H. Muccini, O. Le Meur, C. Herglotz, E</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>0</volume>
      <fpage>5</fpage>
      <lpage>09</lpage>
      <abstract>
        <p>Digital technologies have a strong influence in our entertainment choices. Streaming services stand out in this aspect. Due to competition and environmental reasons, they may improve the eficiency of their services, which could lead to rebound efects. Given the increase in interest to study how to reduce the extent of these efects, and the scarcity in literature on modeling those anti-rebound measures, we propose a novel modeling scheme. The scheme, based on compartmental methods and implemented in Python, is used to simulate the evolution of a streaming service subject to diferent taxes. We compare an Environmental Tax and a tax on eficiency gains, called Rebound Tax. For a similar reduction in environmental impact, the latter proved to be more beneficial for companies. While the implementation of both taxes simultaneously ofers the greatest reduction in environmental impact, the financial pressure may result too much for some businesses.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction and Motivation</title>
      <p>It is undeniable that digital technologies increasingly permeate more and more aspects of our
lives, especially when it comes to entertainment. Let us leave aside the discussion of whether
this is a positive or negative fact to focus on some of the consequences resulting from it.</p>
      <p>This is a study about video streaming services (e.g., Netflix). For the purpose of this research,
assume that, motivated by the Global Climate Crisis and by the need to outperform their
competition, these services allocate a fraction of their revenue to reducing the amount of
resources they need to deliver their service. In other words, they invest in increasing their
eficiency, which reduces both the costs of running the service and the impact it has on the
environment.</p>
      <p>
        It is well known, however, that not with every eficiency improvement comes great
environmental benefit; they can sometimes backfire. This is called Rebound Efect: the benefits of
improving eficiency can be reduced or over-compensated due to changes in how the service or
product is used [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. More technically, applying the classification from [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] to streaming services,
we identify Behavioral Efects (Consumer side, indirect rebound efects), i.e., a better service
with more and better content leads to people using it more. We also find Producer side, indirect
rebound efects (Output Efects): as delivering the service becomes cheaper, more investment
can be made in developing a better service with more content and features. Now, studying how
to limit the impact of rebound efects in this area is more important than ever.
      </p>
      <p>
        Usually, research on how to reduce the impact of rebound efects focuses on transportation
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and manufacturing [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], and there is gap when it comes to digital technologies (especially
streaming services). In most cases (like [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]), the focus is modeling a taxation scheme
based on CO2 emissions. In our study, we compare that approach to one that seems
unconventional at first, to see if it could result beneficial for both businesses and the environment. Based
on [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], we propose a Rebound tax, a direct confiscation of some economic gains that result from
eficiency gains. The efects of applying this rebound tax were not only capable of reducing
environmental impacts, but they significantly outperformed the carbon-tax approach.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Research Methods and Results</title>
      <p>
        To perform this research, we have used Compartmental Modeling, an approach that, despite its
long-standing history in epidemiology [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], has never (to the knowledge of the authors) been
applied in the present context. These models are based in grouping the population in diferent
”boxes” or compartments, and defining the flow of people between them. For our case, we adopt
the ideas presented in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] to describe the adoption of a streaming service.
      </p>
      <p>In our model, customers may join or leave the service at any moment, and they pay a monthly
subscription to access it. The revenue they generate is destined first towards paying costs
and taxes. The rest goes to improving the service, increasing visibility through advertising, or
increasing the eficiency of the service for delivering their content. Services may also reduce
the price of the subscription to attract more customers.</p>
      <p>Using a simulation tool developed in Python, we analyse four tax scenarios: No Tax,
Environmental Tax  env (similar to, for example, a carbon tax), Rebound Tax  reb, and Both Taxes
(applied at the same time). In this model, the Environmental Tax is proportional to a measure
of the environmental impact   of the company (that increases with the number of users and
the amount of time each user spends daily on the service). When the Rebound Tax is at play, if
the service improves its eficiency, 60% of the money they save thanks to that improvement is
”confiscated”. Mathematically, we define the taxes as
 env ∝   ,
 reb ∝  inf(no improvements) −  inf(with improvements) ,
(1)
(2)
where  inf are the infrastructure costs of the company.</p>
      <p>In this study, the environmental impact is a simplified notion, an amount that combines the
efects of emissions, generation of waste, etc. The way this impact is measured in real scenarios
is outside the scope of the study.</p>
      <p>We tune the parameters of the model so that the Environmental tax and the Rebound tax
achieve the same reduction in environmental impact at the end of the study period. To find
which is the best scheme, we look at the revenue generated by the service: the scheme that
results in the highest revenue will be the most beneficial one. The results of the simulation are
presented in fig. 1.</p>
      <p>The results portrayed in fig. 1 indicate that, for a very similar reduction of environmental
impact at the end of the study period, the amount of revenue generated by the company is
higher for the Rebound Tax. Despite confiscating a high percentage (60%) of the economic gains
due to eficiency improvements, the Rebound Tax approach has proven to be more beneficial to
companies.</p>
      <p>In fig. 1, we also see that applying both taxes at the same time has the biggest reduction
in environmental impact. However, the economic burden of both taxes may result on some
companies not being able to cover their costs and ultimately failing.</p>
      <p>Even though this is a novel research line and there is plenty of unexplored territory, our
results suggest that there may be alternative solutions for reducing the environmental impact
of companies that operate through digital technologies. The simulation tool is still in the
development phase, and the code will be made available on request by the corresponding author.
2.1. Relevance and novelty
The three most relevant contributions of this study, according to the authors, are:
• We address the gap in literature on modeling anti-rebound measures, especially when it
comes to digital technologies and ICT.
• In contrast to the more common approaches (e.g., Carbon Taxes), we propose a novel
way that could prove more beneficial both to businesses and the environment.
• We developed a new simulation procedure for the purpose of this study, diferent from
the more common methods used in the literature, like System Dynamics. This can ofer a
new perspective on these types of problems.</p>
    </sec>
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