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2 changes: 1 addition & 1 deletion .nojekyll
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45 changes: 22 additions & 23 deletions _tex/index.tex
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Expand Up @@ -367,19 +367,19 @@ \subsection{What is captured by an
feeding links between species (be that realised or potential (Dunne,
2006; Pringle, 2020), or fluxes within a system \emph{e.g.,} energy
transfer or material flow as the result of the feeding links between
species (Lindeman, 1942). These correspond to different `currencies'
(the feasibility of links or the energy that is moving between nodes).
There are also a myriad of ways in which the links themselves can be
specified. Links between species can be treated present or absent
(\emph{i.e.,} binary), may be defined as probabilities (Banville et al.,
2024; Poisot, Cirtwill, et al., 2016) or by continuous functions which
further quantify the strength of an interaction (Berlow et al., 2004).
How links are specified will influence the structure of the network. For
example, taking a food web that consists of links representing all
\emph{potential} feeding links in a collection of species will be
meaningless if one is interested in understanding the flow of energy
through the network as the links are not environmentally/energetically
constrained.
species (Lindeman, 1942; Proulx et al., 2005). These correspond to
different `currencies' (the feasibility of links or the energy that is
moving between nodes). There are also a myriad of ways in which the
links themselves can be specified. Links between species can be treated
present or absent (\emph{i.e.,} binary), may be defined as probabilities
(Banville et al., 2024; Poisot, Cirtwill, et al., 2016) or by continuous
functions which further quantify the strength of an interaction (Berlow
et al., 2004). How links are specified will influence the structure of
the network. For example, taking a food web that consists of links
representing all \emph{potential} feeding links in a collection of
species will be meaningless if one is interested in understanding the
flow of energy through the network as the links are not
environmentally/energetically constrained.

\subsection{Network representations}\label{sec-representation}

Expand Down Expand Up @@ -530,7 +530,7 @@ \subsection{Processes that modify the behaviour (preference) of
`truly realised' network is the product of different facets of both the
properties of the community (\textbf{abundance} and \textbf{non-trophic
interactions}) as well as the individual (\textbf{profitability}). This
represents a contextual shift where the presence (realisation) of an
represents a conceptual shift where the presence (realisation) of an
interaction is no longer constrained to evaluating the viability between
a \emph{pair} of species but rather takes into consideration information
about the community and the individual (Quintero et al., 2024), and as
Expand All @@ -544,15 +544,14 @@ \subsection{Processes that modify the behaviour (preference) of
proportion to their abundance (Stephens \& Krebs, 1986), and
interactions are not necessarily contingent on there being any
compatibility between them (E. Canard et al., 2012; Momal et al., 2020;
Pomeranz et al., 2019). However, a more ecologically sound assumption
would be that the abundance of different prey species will influence the
distribution of links in a network (Vázquez et al., 2009), by
influencing which prey are targeted or preferred by the predator, as
abundance influences factors such as the likelihood of two species
(individuals) meeting (Banville et al., 2024; Poisot et al., 2015).
Thus, if abundance data are combined with a derived metaweb, there is a
basic ruleset that can define the distribution (\emph{e.g.,} structure)
and potentially the strength of links.
Pomeranz et al., 2019). Alternatively the abundance of different prey
species will influence the distribution of links in a network (Vázquez
et al., 2009), by influencing which prey are targeted or preferred by
the predator, as abundance influences factors such as the likelihood of
two species (individuals) meeting (Banville et al., 2024; Poisot et al.,
2015). Thus, if abundance data are combined with a derived metaweb,
there is a basic ruleset that can define the distribution (\emph{e.g.,}
structure) and potentially the strength of links.

\textbf{Profitability}

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Expand Up @@ -471,7 +471,7 @@ <h2 data-number="1.1" class="anchored" data-anchor-id="how-do-we-define-a-node">
</section>
<section id="what-is-captured-by-an-edge" class="level2" data-number="1.2">
<h2 data-number="1.2" class="anchored" data-anchor-id="what-is-captured-by-an-edge"><span class="header-section-number">1.2</span> What is captured by an edge?</h2>
<p>Links within food webs can be thought of as a representation of either feeding links between species (be that realised or potential <span class="citation" data-cites="dunneNetworkStructureFood2006 pringleUntanglingFoodWebs2020">(<a href="#ref-dunneNetworkStructureFood2006" role="doc-biblioref">Dunne 2006</a>; <a href="#ref-pringleUntanglingFoodWebs2020" role="doc-biblioref">Pringle 2020</a>)</span>, or fluxes within a system <em>e.g.,</em> energy transfer or material flow as the result of the feeding links between species <span class="citation" data-cites="lindemanTrophicDynamicAspectEcology1942">(<a href="#ref-lindemanTrophicDynamicAspectEcology1942" role="doc-biblioref">Lindeman 1942</a>)</span>. These correspond to different ‘currencies’ (the feasibility of links or the energy that is moving between nodes). There are also a myriad of ways in which the links themselves can be specified. Links between species can be treated present or absent (<em>i.e.,</em> binary), may be defined as probabilities <span class="citation" data-cites="banvilleDecipheringProbabilisticSpecies2024 poisotStructureProbabilisticNetworks2016">(<a href="#ref-banvilleDecipheringProbabilisticSpecies2024" role="doc-biblioref">Banville et al. 2024</a>; <a href="#ref-poisotStructureProbabilisticNetworks2016" role="doc-biblioref">Poisot et al. 2016</a>)</span> or by continuous functions which further quantify the strength of an interaction <span class="citation" data-cites="berlowInteractionStrengthsFood2004">(<a href="#ref-berlowInteractionStrengthsFood2004" role="doc-biblioref">Berlow et al. 2004</a>)</span>. How links are specified will influence the structure of the network. For example, taking a food web that consists of links representing all <em>potential</em> feeding links in a collection of species will be meaningless if one is interested in understanding the flow of energy through the network as the links are not environmentally/energetically constrained.</p>
<p>Links within food webs can be thought of as a representation of either feeding links between species (be that realised or potential <span class="citation" data-cites="dunneNetworkStructureFood2006 pringleUntanglingFoodWebs2020">(<a href="#ref-dunneNetworkStructureFood2006" role="doc-biblioref">Dunne 2006</a>; <a href="#ref-pringleUntanglingFoodWebs2020" role="doc-biblioref">Pringle 2020</a>)</span>, or fluxes within a system <em>e.g.,</em> energy transfer or material flow as the result of the feeding links between species <span class="citation" data-cites="lindemanTrophicDynamicAspectEcology1942 proulxNetworkThinkingEcology2005">(<a href="#ref-lindemanTrophicDynamicAspectEcology1942" role="doc-biblioref">Lindeman 1942</a>; <a href="#ref-proulxNetworkThinkingEcology2005" role="doc-biblioref">Proulx, Promislow, and Phillips 2005</a>)</span>. These correspond to different ‘currencies’ (the feasibility of links or the energy that is moving between nodes). There are also a myriad of ways in which the links themselves can be specified. Links between species can be treated present or absent (<em>i.e.,</em> binary), may be defined as probabilities <span class="citation" data-cites="banvilleDecipheringProbabilisticSpecies2024 poisotStructureProbabilisticNetworks2016">(<a href="#ref-banvilleDecipheringProbabilisticSpecies2024" role="doc-biblioref">Banville et al. 2024</a>; <a href="#ref-poisotStructureProbabilisticNetworks2016" role="doc-biblioref">Poisot et al. 2016</a>)</span> or by continuous functions which further quantify the strength of an interaction <span class="citation" data-cites="berlowInteractionStrengthsFood2004">(<a href="#ref-berlowInteractionStrengthsFood2004" role="doc-biblioref">Berlow et al. 2004</a>)</span>. How links are specified will influence the structure of the network. For example, taking a food web that consists of links representing all <em>potential</em> feeding links in a collection of species will be meaningless if one is interested in understanding the flow of energy through the network as the links are not environmentally/energetically constrained.</p>
</section>
<section id="sec-representation" class="level2" data-number="1.3">
<h2 data-number="1.3" class="anchored" data-anchor-id="sec-representation"><span class="header-section-number">1.3</span> Network representations</h2>
Expand Down Expand Up @@ -506,9 +506,9 @@ <h2 data-number="2.1" class="anchored" data-anchor-id="sec-process-feasibility">
</section>
<section id="sec-process-realisation" class="level2" data-number="2.2">
<h2 data-number="2.2" class="anchored" data-anchor-id="sec-process-realisation"><span class="header-section-number">2.2</span> Processes that modify the behaviour (preference) of species</h2>
<p>Here we will showcase three processes that will ultimately influence the realisation of an interaction between species and form the conceptual basis for realised networks. As we show in <a href="#fig-process" class="quarto-xref">Figure&nbsp;1</a> a ‘truly realised’ network is the product of different facets of both the properties of the community (<strong>abundance</strong> and <strong>non-trophic interactions</strong>) as well as the individual (<strong>profitability</strong>). This represents a contextual shift where the presence (realisation) of an interaction is no longer constrained to evaluating the viability between a <em>pair</em> of species but rather takes into consideration information about the community and the individual <span class="citation" data-cites="quinteroDownscalingMutualisticNetworks2024">(<a href="#ref-quinteroDownscalingMutualisticNetworks2024" role="doc-biblioref">Quintero et al. 2024</a>)</span>, and as discussed in <a href="#sec-representation" class="quarto-xref">Section&nbsp;1.3</a>, links are now <em>constrained</em> by consumer choice.</p>
<p>Here we will showcase three processes that will ultimately influence the realisation of an interaction between species and form the conceptual basis for realised networks. As we show in <a href="#fig-process" class="quarto-xref">Figure&nbsp;1</a> a ‘truly realised’ network is the product of different facets of both the properties of the community (<strong>abundance</strong> and <strong>non-trophic interactions</strong>) as well as the individual (<strong>profitability</strong>). This represents a conceptual shift where the presence (realisation) of an interaction is no longer constrained to evaluating the viability between a <em>pair</em> of species but rather takes into consideration information about the community and the individual <span class="citation" data-cites="quinteroDownscalingMutualisticNetworks2024">(<a href="#ref-quinteroDownscalingMutualisticNetworks2024" role="doc-biblioref">Quintero et al. 2024</a>)</span>, and as discussed in <a href="#sec-representation" class="quarto-xref">Section&nbsp;1.3</a>, links are now <em>constrained</em> by consumer choice.</p>
<p><strong>Abundance</strong></p>
<p>The most basic abundance constraint linked to foraging biology is the principle that organisms feeding randomly will consume resources in proportion to their abundance <span class="citation" data-cites="stephensForagingTheory1986">(<a href="#ref-stephensForagingTheory1986" role="doc-biblioref">Stephens and Krebs 1986</a>)</span>, and interactions are not necessarily contingent on there being any compatibility between them <span class="citation" data-cites="canardEmergenceStructuralPatterns2012 momalTreebasedInferenceSpecies2020 pomeranzInferringPredatorPrey2019">(<a href="#ref-canardEmergenceStructuralPatterns2012" role="doc-biblioref">E. Canard et al. 2012</a>; <a href="#ref-momalTreebasedInferenceSpecies2020" role="doc-biblioref">Momal, Robin, and Ambroise 2020</a>; <a href="#ref-pomeranzInferringPredatorPrey2019" role="doc-biblioref">Pomeranz et al. 2019</a>)</span>. However, a more ecologically sound assumption would be that the abundance of different prey species will influence the distribution of links in a network <span class="citation" data-cites="vazquezUnitingPatternProcess2009">(<a href="#ref-vazquezUnitingPatternProcess2009" role="doc-biblioref">Vázquez et al. 2009</a>)</span>, by influencing which prey are targeted or preferred by the predator, as abundance influences factors such as the likelihood of two species (individuals) meeting <span class="citation" data-cites="poisotSpeciesWhyEcological2015 banvilleDecipheringProbabilisticSpecies2024">(<a href="#ref-poisotSpeciesWhyEcological2015" role="doc-biblioref">Poisot, Stouffer, and Gravel 2015</a>; <a href="#ref-banvilleDecipheringProbabilisticSpecies2024" role="doc-biblioref">Banville et al. 2024</a>)</span>. Thus, if abundance data are combined with a derived metaweb, there is a basic ruleset that can define the distribution (<em>e.g.,</em> structure) and potentially the strength of links.</p>
<p>The most basic abundance constraint linked to foraging biology is the principle that organisms feeding randomly will consume resources in proportion to their abundance <span class="citation" data-cites="stephensForagingTheory1986">(<a href="#ref-stephensForagingTheory1986" role="doc-biblioref">Stephens and Krebs 1986</a>)</span>, and interactions are not necessarily contingent on there being any compatibility between them <span class="citation" data-cites="canardEmergenceStructuralPatterns2012 momalTreebasedInferenceSpecies2020 pomeranzInferringPredatorPrey2019">(<a href="#ref-canardEmergenceStructuralPatterns2012" role="doc-biblioref">E. Canard et al. 2012</a>; <a href="#ref-momalTreebasedInferenceSpecies2020" role="doc-biblioref">Momal, Robin, and Ambroise 2020</a>; <a href="#ref-pomeranzInferringPredatorPrey2019" role="doc-biblioref">Pomeranz et al. 2019</a>)</span>. Alternatively the abundance of different prey species will influence the distribution of links in a network <span class="citation" data-cites="vazquezUnitingPatternProcess2009">(<a href="#ref-vazquezUnitingPatternProcess2009" role="doc-biblioref">Vázquez et al. 2009</a>)</span>, by influencing which prey are targeted or preferred by the predator, as abundance influences factors such as the likelihood of two species (individuals) meeting <span class="citation" data-cites="poisotSpeciesWhyEcological2015 banvilleDecipheringProbabilisticSpecies2024">(<a href="#ref-poisotSpeciesWhyEcological2015" role="doc-biblioref">Poisot, Stouffer, and Gravel 2015</a>; <a href="#ref-banvilleDecipheringProbabilisticSpecies2024" role="doc-biblioref">Banville et al. 2024</a>)</span>. Thus, if abundance data are combined with a derived metaweb, there is a basic ruleset that can define the distribution (<em>e.g.,</em> structure) and potentially the strength of links.</p>
<p><strong>Profitability</strong></p>
<p>It is well established that consumers make more active decisions than eating items in proportion to their abundance <span class="citation" data-cites="stephensForagingTheory1986">(<a href="#ref-stephensForagingTheory1986" role="doc-biblioref">Stephens and Krebs 1986</a>)</span>. Ultimately, consumer choice is underpinned by an energetic cost-benefit framework centred around profitability and defined by traits associated with finding, catching, killing, and consuming a resource <span class="citation" data-cites="woottonModularTheoryTrophic2023">(<a href="#ref-woottonModularTheoryTrophic2023" role="doc-biblioref">Wootton et al. 2023</a>)</span>. Although energetic constraints can be invoked in a myriad of ways <span class="citation" data-cites="pawarDimensionalityConsumerSearch2012 portalierMechanicsPredatorPrey2019 cherifEnvironmentRescueCan2024">(<em>e.g.,</em> <a href="#ref-pawarDimensionalityConsumerSearch2012" role="doc-biblioref">Pawar, Dell, and Savage 2012</a>; <a href="#ref-portalierMechanicsPredatorPrey2019" role="doc-biblioref">Portalier et al. 2019</a>; <a href="#ref-cherifEnvironmentRescueCan2024" role="doc-biblioref">Cherif et al. 2024</a>)</span> we select profitability as a term to capture rules linked to optimal foraging <span class="citation" data-cites="pykeOptimalForagingTheory1984">(<a href="#ref-pykeOptimalForagingTheory1984" role="doc-biblioref">Pyke 1984</a>)</span> and metabolic theory <span class="citation" data-cites="brownMetabolicTheoryEcology2004">(<a href="#ref-brownMetabolicTheoryEcology2004" role="doc-biblioref">Brown et al. 2004</a>)</span>; it is a sensible ‘umbrella concept’ for capturing the energetic constraint on of the distribution and strength of interactions.</p>
<p><strong>Non-trophic interactions</strong></p>
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