<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">SE</journal-id>
<journal-title-group>
<journal-title>Solid Earth</journal-title>
<abbrev-journal-title abbrev-type="publisher">SE</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Solid Earth</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1869-9529</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/se-7-115-2016</article-id><title-group><article-title>Trail impact monitoring in Rocky Mountain National Park, USA</article-title>
      </title-group><?xmltex \runningtitle{Trail impact monitoring in Rocky Mountain National Park, USA}?><?xmltex \runningauthor{J.~Svajda et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Svajda</surname><given-names>J.</given-names></name>
          <email>juraj.svajda@umb.sk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Korony</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Brighton</surname><given-names>I.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Esser</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ciapala</surname><given-names>S.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Matej Bel University, Banska Bystrica, Slovakia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Rocky Mountain National Park, Estes Park, Colorado, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Academy of Physical Education, Krakow, Poland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">J. Svajda (juraj.svajda@umb.sk)</corresp></author-notes><pub-date><day>26</day><month>January</month><year>2016</year></pub-date>
      
      <volume>7</volume>
      <issue>1</issue>
      <fpage>115</fpage><lpage>128</lpage>
      <history>
        <date date-type="received"><day>23</day><month>October</month><year>2015</year></date>
           <date date-type="rev-request"><day>6</day><month>November</month><year>2015</year></date>
           <date date-type="rev-recd"><day>11</day><month>January</month><year>2016</year></date>
           <date date-type="accepted"><day>13</day><month>January</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016.html">This article is available from https://se.copernicus.org/articles/7/115/2016/se-7-115-2016.html</self-uri>
<self-uri xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016.pdf">The full text article is available as a PDF file from https://se.copernicus.org/articles/7/115/2016/se-7-115-2016.pdf</self-uri>


      <abstract>
    <p>This paper examines impacts of increased visitation leading to human
trampling of vegetation and soil along several trails in Rocky Mountain
National Park (RMNP) to understand how abiotic factors and level of use can
influence trail conditions. RMNP is one of the most visited national parks
in the USA, with 3.3 million visitors in 2012 across 1075 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and 571 km
of hiking trails. 95 % of the park is designated wilderness, making the
balance between preservation and visitor use challenging. This research
involves the application of trail condition assessments to 56 km of trails
to determine prevailing factors and what, if any, connection between them
exist. The study looked at a variety of inventory and impact indicators and
standards to determine their importance and to develop a baseline condition
of trails. The data can be used for future comparison and evaluation of
development trends. We found that trail widening (mean trail width 88.9 cm)
and soil loss (cross-sectional area 172.7 cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the most visible
effects of trail degradation. Further statistical analyses of data
identified the role and influence of various factors (e.g., use level and
topography). Insights into the influence of these factors can lead to the
selection of appropriate management measures to avoid or minimize negative
consequences from increased visitation.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction and problem overview</title>
      <p>Recreational activities in protected areas have been increasing and have created the
need to improve understanding of the impacts and management (Hammitt et al.,
2015; Chrisfield et al., 2012; Monz et al., 2013). The trampling of
vegetation and soil by hikers (Cole, 1989; Bright, 1986) is often a cause of
land degradation in national parks. Recreational trails are often a source
of negative impacts on the persistence of threatened, endangered, rare and
keystone species (Ballantyne and Pickering, 2015). Trampling, especially in
tundra ecosystems, may lead to altered environmental conditions, including
decreased infiltration capacity and nutrient cycles in soils, and more
extreme temperatures at the soil surface (Chrisfield et al., 2012). To date,
large amounts of research are focused on the impact of visitors on soil and
vegetation including monitoring and modeling (Dixon et al., 2004; Farell
and Marion, 2001; Monti and MacKintosh, 1979; Godefroid and Koedam, 2004;
Özcan et al., 2013). A variety of efficient methods for evaluating
trails and their resource conditions, especially in sensitive and vulnerable
areas (alpine environment), have been developed and described in the
literature (Jewell and Hammitt, 2000; Hawes et al., 2006;
Ólafsdótirr and Runnström, 2013; Tomczyk and Ewertowski, 2011;
Brevik and Fenton, 2012). A review by Marion and Leung (2001) concluded that
the point sampling method provides accurate and precise measures of trail
characteristics that are continuous or frequent (e.g., tread width).
Ground-based surveys are fairly accurate (with GPS), use existing staff and
resources and provide immediate results. However, there are also
some limitations of point sampling techniques – e.g., time consumption (Hill
and Pickering, 2009).</p>
      <p>Parks and protected areas are often set aside for conservation and
recreational purposes, and have become some of the most sought-after vacation
areas in the world, creating conflicts between conservation and recreation.
In the US, National Park Service (NPS) units receive approximately 280 million
visitors per year (IRMA, 2014). Couple this extensive visitation
with the mission of the NPS, which is to protect and preserve both natural
and cultural resources while providing for the freest opportunities for
public enjoyment and recreation, and conflict between conservation issues
and visitor use occur. Striking a balance between these competing goals
often forces land managers to make compromises between impacts from
visitation and protection of resources.</p>
      <p>Parks apply a wide range of tools and techniques to manage impacts from
visitor use. By providing a network of formal trails, protected areas can
limit negative trampling impacts and prevent widespread degradation that
would be caused by a less structured pattern of visitor activity and traffic
(Marion et al., 2011). To balance resource protection and visitor experience,
several frameworks have been developed to guide management decisions
(Manning, 1999). These frameworks use numerical standards for biophysical or
social condition indicators and set limits to define the critical threshold
between an acceptable and unacceptable change in resources and social
conditions (Kim and Shelby, 2006). Baseline data and future monitoring can
also be used to compare past conditions with future conditions. If actual
conditions are above quantitatively defined standards, managers can
effectively deal with these factors to improve or stabilize the conditions.
Such visitor impact monitoring programs can provide managers reliable
information necessary to evaluate resource protection policies, trends,
strategies and measures (Vistad, 2003). However, many authors have stated that
the impacts of visitors on the ecological conditions of an area are influenced more
by visitor behavior, park infrastructure and the resilience of soil and
vegetation, and are less related to overall use levels (McCool and Lime, 2001).
For example sustainable usage levels depend on a range of factors, including
extent of trail hardening and frequency of trail maintenance (Washburn,
1982).</p>
      <p>To better understand use and associated resource impacts, a visitor and trail
monitoring program needs a diverse set of indicators that evaluate changes
over time (Leung and Marion, 2000). Most commonly used trail indicators
include the number, length and density of visitor-created trails, along with
tread. Soil loss, the most ecologically significant trail impact, is less
common, though it can be efficiently determined by measuring maximum incision or
cross-sectional area at points along the trail (Olive and Marion, 2009).
Other problems include visitors participating in a variety of recreation
activities (hiking, camping, horseback riding), each of which contributes a
unique impact on natural resources (vegetation, soil, water, wildlife). Some
authors have compared and assessed the impacts of different recreation
activities (hiking, mountain biking, horse riding) on vegetation and soils
(e.g., Pickering et al., 2010; Wilson and Seney, 1994). There is limited
research on the ecological impacts of tourism and recreation in some parts
of the world (Barros et al., 2015; Zdruli, 2014; Ibáñez et al.,
2015). Existing studies document a range of impacts on vegetation, birds
and mammals, including changes in plant species richness, composition and
vegetation cover and the tolerance of wildlife to visitor use. Comparable
studies, especially in high alpine environments, are needed to predict the
effects of topographic and climatic extremes (Nepal, 2003).</p>
      <p>Conducting formal trail surveys provides information for a number of
important management questions and decisions, though it is commonly overlooked
due to funding constraints. Information about trail conditions can be used
to inform the public about trail status, justify staffing and financing,
evaluate the acceptability of existing resource conditions, understand
relationships between trail impacts and the controlling mechanism, identify
and select appropriate management actions and determine the effectiveness of
implemented actions. This paper presents research and assessment of impacts
on the trail network of the Rocky Mountain National Park (RMNP) study area to understand how abiotic
factors such as grade, elevation, surface type and trail slope alignment can
influence trail conditions. We also want to understand how visitation type
(e.g., people vs. horses) and level of use can impact trails. Finally, our
last goal is to determine which factors are prevailing and what connection
between factors exist. This would help managers reduce the effects of
visitor use on natural resources of the park.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study area</title>
      <p>Rocky Mountain National Park (RMNP) is located in northern Colorado (USA),
comprises an area of 1075 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and provides access to wild places for
visitors to recreate and experience solitude and outstanding beauty (Fig. 1).
The elevation range within the park spans from 2316 to 4346 m, which creates
a highly complex and steep topographic gradient, allowing for diverse
vegetation communities. The underlying geology of this mountain is also
highly complex, though it is primarily granitic. Severe climatic conditions and
thin soils have created a fragile environment at higher elevations
throughout the park (alpine tundra encompasses one-third of the park area)
that is neither resistant nor resilient to human use (RMNP, 2013).
The historical annual temperature average (1900–2002) is 1.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
and the annual average precipitation for the same period is 400 mm yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Over the
past several decades temperatures have been increasing <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> century<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Gonzalez, 2012) and precipitation patterns have been highly
variable, with increased drought years followed by extreme rain events and
record snowpacks, causing varying degrees of freeze/thaw actions and
greater spring runoff events.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Study area showing all eight evaluated trails – abbreviations of
the names of trails: Saddle (SDLL), Ute West (UTEW), Mount Ida (IDAM), Ute
East (UTEE), Flattop Mountain (FLTM), Old Fire (OFIR), Boulder Field (BLDF)
and Thunder Lake (THLA).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016-f01.jpg"/>

      </fig>

      <p>Yearly visitation over the past decade has hovered around 3 million visitors
a year, with the total number of recreation visitors in 2012 being 3.3 million.
The busiest tourist season is the summer months (June–August), but in
recent years, the heaviest visitation days have occurred during the weekends
of late summer and early fall due to the elk rut and foliage change.
Overnight as well as day use has steadily increased over the past several
decades, resulting in more impacts from visitation (RMNP, 2001).</p>
      <p>Monitoring visitor use focused on vegetation and soil impacts is important
in alpine areas, climbing areas and riparian areas where the information can
help with determining thresholds of degradation (NPS, 2010). The loss of
soil and vegetation from high use and unacceptable behavior of visitors are
a principal concern. Besides educating visitors about principles (e.g., staying on the trail) and monitoring visitor use numbers, the results of this
research can help inform park managers.</p>
      <p>Early studies focused on the impact of visitors on natural ecosystems in RMNP
(e.g., Willard and Marr, 1963) and stated the need to develop a system of evaluating
day use destination sites, document trends in day use, develop guidelines,
install flip signs, voluntary permits or a self-registration system and set
concrete use limits (e.g., for parking). Later works are devoted especially
to the monitoring of trail impacts (Summer, 1986; Benninger-Truax et al., 1992;
KellerLynn, 2006; Pettebone et al., 2009).</p>
      <p>Approximately 571 km of hiking trails provides visitors with recreation
opportunities throughout the park (RMNP, 2013; Fig. 1). Some of the current
trail system evolved from game trails used by Native Americans, then
explorers and herders and was finally adopted by the National Park Service. A
lot of the trails were built or improved by the Civilian Conservation Corps
(CCC) during the 1930s. These trails span the entire elevation gradient,
running across valley bottoms and ridgetops. RMNP is divided into ten
planning units based on similar physiographic features and visitor use
patterns (RMNP, 2000). Evaluated trails are situated in several planning
units (Fig. 1; Front Range, Longs Peak, Wild Basin, Roaring River, Trail
Ridge). Each planning unit is specified with trail project priorities
(safety of visitors, mitigation of resource damage) and cost estimates.
Since 2008 there have been new Federal Trail Data Standards, which include four
fundamental concepts that are cornerstones of effective trail planning and
management (trail type, trail class, managed use, designed use). Although
not entirely new, these interagency concepts provide an integrated means to
consistently record and communicate the intended design and management
guidelines for trail design, construction, maintenance and use.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p><bold>(a)</bold> Inventory and <bold>(b)</bold> impact indicators summarized by trails. Use levels: L refers to low,
M refers to medium, H refers to high; use types: F refers to foot, A refers to all
hikers and horse riders.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{0.95}[0.95]?><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="center"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2"><bold>(a)</bold> Inventory indicators </oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Slope</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Trail section</oasis:entry>  
         <oasis:entry colname="col2">Length</oasis:entry>  
         <oasis:entry colname="col3">Sample</oasis:entry>  
         <oasis:entry colname="col4">Elevation</oasis:entry>  
         <oasis:entry colname="col5">Trail</oasis:entry>  
         <oasis:entry colname="col6">Landform</oasis:entry>  
         <oasis:entry colname="col7">alignment</oasis:entry>  
         <oasis:entry colname="col8">Use</oasis:entry>  
         <oasis:entry colname="col9">Use</oasis:entry>  
         <oasis:entry colname="col10">Slope</oasis:entry>  
         <oasis:entry colname="col11">Rugosity</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" colname="col2"/>  
         <oasis:entry rowsep="1" colname="col3">count</oasis:entry>  
         <oasis:entry rowsep="1" colname="col4">(m a.s.l.)</oasis:entry>  
         <oasis:entry rowsep="1" colname="col5">grade (%)</oasis:entry>  
         <oasis:entry rowsep="1" colname="col6">grade (%)</oasis:entry>  
         <oasis:entry rowsep="1" colname="col7">angle (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry rowsep="1" colname="col8">levels</oasis:entry>  
         <oasis:entry rowsep="1" colname="col9">types</oasis:entry>  
         <oasis:entry rowsep="1" colname="col10">ratio</oasis:entry>  
         <oasis:entry rowsep="1" colname="col11">(cm)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">km</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">Mean</oasis:entry>  
         <oasis:entry colname="col5">Mean</oasis:entry>  
         <oasis:entry colname="col6">Mean</oasis:entry>  
         <oasis:entry colname="col7">Mean</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">Mean</oasis:entry>  
         <oasis:entry colname="col11">Mean</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ute trail West</oasis:entry>  
         <oasis:entry colname="col2">6.55</oasis:entry>  
         <oasis:entry colname="col3">43</oasis:entry>  
         <oasis:entry colname="col4">3477</oasis:entry>  
         <oasis:entry colname="col5">8</oasis:entry>  
         <oasis:entry colname="col6">23</oasis:entry>  
         <oasis:entry colname="col7">67</oasis:entry>  
         <oasis:entry colname="col8">M</oasis:entry>  
         <oasis:entry colname="col9">F</oasis:entry>  
         <oasis:entry colname="col10">0.42</oasis:entry>  
         <oasis:entry colname="col11">2.74</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Boulder Field trail</oasis:entry>  
         <oasis:entry colname="col2">8.90</oasis:entry>  
         <oasis:entry colname="col3">57</oasis:entry>  
         <oasis:entry colname="col4">3458</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6">19</oasis:entry>  
         <oasis:entry colname="col7">53</oasis:entry>  
         <oasis:entry colname="col8">H</oasis:entry>  
         <oasis:entry colname="col9">A</oasis:entry>  
         <oasis:entry colname="col10">0.53</oasis:entry>  
         <oasis:entry colname="col11">3.05</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Flattop Mountain trail</oasis:entry>  
         <oasis:entry colname="col2">5.78</oasis:entry>  
         <oasis:entry colname="col3">36</oasis:entry>  
         <oasis:entry colname="col4">3417</oasis:entry>  
         <oasis:entry colname="col5">13</oasis:entry>  
         <oasis:entry colname="col6">20</oasis:entry>  
         <oasis:entry colname="col7">56</oasis:entry>  
         <oasis:entry colname="col8">H</oasis:entry>  
         <oasis:entry colname="col9">A</oasis:entry>  
         <oasis:entry colname="col10">0.64</oasis:entry>  
         <oasis:entry colname="col11">2.97</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mount Ida trail</oasis:entry>  
         <oasis:entry colname="col2">8.13</oasis:entry>  
         <oasis:entry colname="col3">46</oasis:entry>  
         <oasis:entry colname="col4">3657</oasis:entry>  
         <oasis:entry colname="col5">13</oasis:entry>  
         <oasis:entry colname="col6">27</oasis:entry>  
         <oasis:entry colname="col7">63</oasis:entry>  
         <oasis:entry colname="col8">L–M</oasis:entry>  
         <oasis:entry colname="col9">F</oasis:entry>  
         <oasis:entry colname="col10">0.57</oasis:entry>  
         <oasis:entry colname="col11">2.90</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Saddle trail</oasis:entry>  
         <oasis:entry colname="col2">11.84</oasis:entry>  
         <oasis:entry colname="col3">76</oasis:entry>  
         <oasis:entry colname="col4">3220</oasis:entry>  
         <oasis:entry colname="col5">12</oasis:entry>  
         <oasis:entry colname="col6">20</oasis:entry>  
         <oasis:entry colname="col7">53</oasis:entry>  
         <oasis:entry colname="col8">L–M</oasis:entry>  
         <oasis:entry colname="col9">A</oasis:entry>  
         <oasis:entry colname="col10">0.65</oasis:entry>  
         <oasis:entry colname="col11">2.36</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Thunder Lake trail</oasis:entry>  
         <oasis:entry colname="col2">7.63</oasis:entry>  
         <oasis:entry colname="col3">50</oasis:entry>  
         <oasis:entry colname="col4">3171</oasis:entry>  
         <oasis:entry colname="col5">13</oasis:entry>  
         <oasis:entry colname="col6">25</oasis:entry>  
         <oasis:entry colname="col7">54</oasis:entry>  
         <oasis:entry colname="col8">L–M</oasis:entry>  
         <oasis:entry colname="col9">A</oasis:entry>  
         <oasis:entry colname="col10">0.80</oasis:entry>  
         <oasis:entry colname="col11">2.39</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Ute trail East</oasis:entry>  
         <oasis:entry colname="col2">6.60</oasis:entry>  
         <oasis:entry colname="col3">53</oasis:entry>  
         <oasis:entry colname="col4">3218</oasis:entry>  
         <oasis:entry colname="col5">12</oasis:entry>  
         <oasis:entry colname="col6">21</oasis:entry>  
         <oasis:entry colname="col7">50</oasis:entry>  
         <oasis:entry colname="col8">L</oasis:entry>  
         <oasis:entry colname="col9">F</oasis:entry>  
         <oasis:entry colname="col10">0.56</oasis:entry>  
         <oasis:entry colname="col11">3.00</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Trail system mean</oasis:entry>  
         <oasis:entry colname="col2">7.92</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">3374</oasis:entry>  
         <oasis:entry colname="col5">11</oasis:entry>  
         <oasis:entry colname="col6">22</oasis:entry>  
         <oasis:entry colname="col7">56</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">0.60</oasis:entry>  
         <oasis:entry colname="col11">2.77</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Standard deviation</oasis:entry>  
         <oasis:entry colname="col2">2.03</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">177</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6">12</oasis:entry>  
         <oasis:entry colname="col7">20</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">0.86</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Old Fire trail</oasis:entry>  
         <oasis:entry colname="col2">1.42</oasis:entry>  
         <oasis:entry colname="col3">48</oasis:entry>  
         <oasis:entry colname="col4">2932</oasis:entry>  
         <oasis:entry colname="col5">12</oasis:entry>  
         <oasis:entry colname="col6">22</oasis:entry>  
         <oasis:entry colname="col7">55</oasis:entry>  
         <oasis:entry colname="col8">H</oasis:entry>  
         <oasis:entry colname="col9">F</oasis:entry>  
         <oasis:entry colname="col10">0.53</oasis:entry>  
         <oasis:entry colname="col11">2.16</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2"><bold>(b)</bold> Impact indicators </oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Trail section</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center">Trail width </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">Width difference </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">CSA </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">Maximum incision </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3" align="center">(cm) </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">(cm) </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">(cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">(cm) </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3" align="center">Mean </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">Mean </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">Mean </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">Mean </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ute trail West</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center">100.58 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">54.86 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">452 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">7.19 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Boulder Field</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center">115.32 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">23.88 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">671 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">8.64 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Flattop Mountain trail</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center">115.37 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">23.93 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">606 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">8.41 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mount Ida trail</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 56.26 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">10.54 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">297 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">6.78 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Saddle trail</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 90.91 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">15.11 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">387 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">6.27 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Thunder Lake trail</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 82.50 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">11.18 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">342 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">6.17 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Ute trail East</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 71.50 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">25.78 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">394 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">7.32 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Trail system mean</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 90.35 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">23.61 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">450 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">7.25 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Standard deviation</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 20.47 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">14.04 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">129 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">0.89 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Old Fire trail</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"> 76.15 </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">30.43 </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7">290 </oasis:entry>  
         <oasis:entry namest="col8" nameend="col9">5.54 </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3">
  <title>Methods and analysis</title>
      <p>During August 2013, we applied impact assessment procedures to eight formal
and informal trails (56 km) within RMNP. They represent a subset of the
entire trail system and were selected because they provide a unique look at
the variation of impacts along an elevation gradient and visitor use
gradient, while representing the greatest possible spatial extent of RMNP. Some of the
trails (or sections of trails) are used not only by hikers but also by other
user groups such as equestrians (about 80 % of the total trails
maintained in the park are open to commercial and private stock use). Four
trails were evaluated on the north side of the park: Saddle trail (SDDL),
Ute trail West (UTEW), Ute trail East (UTEE) and Mount Ida trail (IDAM),
three on the south side of the park: Flattop Mountain trail (FLTM), Boulder
Field trail (BLDF) and Thunder Lake trail (THLA). Also one short section of
an informal trail, Old Fire trail (OFIR), was measured with detailed
sampling (30.5 m interval) – see Table 1a, b and Fig. 2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p><bold>(a)</bold> Use of natural materials to limit the trail can prevent it from
widening and formation of secondary trails – BLDF. <bold>(b)</bold> Change of tread
substrate characteristics is connected also with elevation – in the forest
zone, exposed tree roots are more commonly found – FLTM. <bold>(c)</bold> The highest
sections of IDAM are barely recognizable due to very small visitation.
<bold>(d)</bold> OFIR is an example of a social trail with high traffic; some sections
were maintained in the past. <bold>(e)</bold> One of the typical examples of how orientation and slope of
trail have impacted on the width of the trail – SDDL. <bold>(f)</bold> THLA is used by
hikers and stock as well – one of the effects is expansion of the width and
depth of the trail with the consequent loss of soil. <bold>(g)</bold> UTEE – a problem with
erosion is notable, particularly in the section down from Timberline Pass.
<bold>(h)</bold> Secondary treads are more common in areas with lower grades – UTEW.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016-f02.jpg"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <title>Trail sampling</title>
      <p>Trail sampling for each of the eight trails involved taking replicable
measurements at a number of determined locations in order to calculate
overall estimations of trail conditions. We used point sampling methods to
generate accurate and precise data on trails' conditions
(Marion et al., 2011). This was used to develop useful and appropriate
baseline data to monitor selected environmental indicators and standards of
quality. A 152 m point sampling interval, determined using GPS (Garmin
GPSmap 60 CSx) and a measuring wheel (Rolatape RSL 204-5), was selected and
employed based on the findings, efficiency and feasibility of replication
and was thought to best represent the length of each trail. This interval
provided the appropriate number of sample points, allowing statistical
analysis and the ability to characterize trail conditions.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Trail condition indicators</title>
      <p>At each sample point, a single transect was established perpendicular to the
trail tread, with endpoints defined by the most visually obvious outer
boundary of trampling-related disturbance. These boundaries are defined by
pronounced changes in ground vegetation height (trampled vs. untrampled),
cover, composition or when vegetation cover is reduced or absent and by
disturbance to organic litter or lichen (intact vs. pulverized). We adopted
criteria described by Monz (2000) and Lance et al. (1989) for measurement
consideration and definition of the trail tread boundaries of the trail as receiving the
majority (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn>95</mml:mn></mml:mrow></mml:math></inline-formula> %) of traffic (Marion et al., 2011). To assess trail width,
the distance between these disturbance-associated boundaries was measured
with a tape rule (Stanley Lever Lock 25<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). The difference between
intended vs. actual trail widths was assessed as trail width difference
according to trail data standards. Additionally the grade of the trail and the
dominant fall line (landform grade) was recorded at each transect location.</p>
      <p>Trail slope alignment angle (TSA) was assessed at each sample point as the
difference in compass bearing between the prevailing landform slope
orientation (i.e., aspect) and the trail's alignment at the sample point. For
example, the TSA of a contour-aligned trail would equal 90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, while a true
fall-line trail (aligned congruent to the landform slope) would have a
TSA of 0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Trail grade, trail slope and alignment angle were
measured using a clinometer and compass (Suunto Tandem). The quotient of trail
grade and landform grade was calculated as a slope ratio (IMBA, 2004). To
assess tread surface composition we used the following categories: bare
soil, vegetation, organic litter, roots, rock and gravel, wood and man-made
materials. For each category, the percent of trail width was recorded to the
nearest 10 %. An occurrence of additional secondary trails that
paralleled the survey trail at each sample point was marked as well as
previous remarkable side-hill construction work at each sample point.</p>
      <p>To determine whether there was soil loss (cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at a sample point, we
employed a fixed interval method cross-sectional area (CSA) analysis,
adopted from Cole (1983) and described as the variable CSA method (Olive and
Marion, 2009). To establish a cross section, temporary stakes were placed at
positions that enabled a cord measure to be stretched along what was
believed to represent the original land surface for fall-line trails or the
post-construction tread surface for constructed side-hill trails. Vertical
measurements from the cord measure to the trail substrate surface were taken
at a fixed interval of 12 cm for all trails. This measure included soil loss
from water or wind erosion, soil compaction of the trail substrates and soil
displacement from traffic. CSA was calculated for each sample point using
spreadsheet formulas in Microsoft Excel, where <inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the vertical distance
measurements and <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the interval on the horizontal taut line (Cole, 1983). Trail
condition measures were calculated for each trail and for all trails
combined, including area of disturbance, CSA and mean trail width and depth.
            <disp-formula id="Ch1.Ex1"><mml:math display="block"><mml:mrow><mml:mtext>CSA</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>V</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mi>L</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p>The ruggedness or roughness of the trail surface was calculated for each
sample point from measurements taken to compute CSA estimates as the
standard deviation of the vertical measurement at each transect. To ensure
repeatability of this work, digital photographs were taken with a camera
(Panasonic DMC-SZ1, 16.1 megapixel resolution) along with recording GPS
coordinates at each transect for all future resampling events which occur along
the same transects. Photographs were also utilized to create two additional
attributes for each trail transect – trail substrate class and trail
borders. Based on field observation by trail maintenance staff, use levels
(high &gt; 100 users a day; medium 50–100 users a day; low &lt; 50 users a day)
and type of use (hiking only/hiking <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> stock use) were assigned to each
trail segment. Elevation of each sample point was recorded and three main
categories according vegetation cover created: above 3505 m a.s.l. alpine
tundra, 3505–2896 m a.s.l. spruce/fir and below 2896 m a.s.l. lodgepole
pine (RMNP, 2001).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Number and percent of sample points by inventory indicator category.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{0.8}[0.8]?><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Grade</oasis:entry>  
         <oasis:entry colname="col2">Number of</oasis:entry>  
         <oasis:entry colname="col3">Percentage</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">sample points</oasis:entry>  
         <oasis:entry colname="col3"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">0–2 %</oasis:entry>  
         <oasis:entry colname="col2">46</oasis:entry>  
         <oasis:entry colname="col3">12.74</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2–6 %</oasis:entry>  
         <oasis:entry colname="col2">78</oasis:entry>  
         <oasis:entry colname="col3">21.61</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6–10 %</oasis:entry>  
         <oasis:entry colname="col2">83</oasis:entry>  
         <oasis:entry colname="col3">22.99</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10–15 %</oasis:entry>  
         <oasis:entry colname="col2">67</oasis:entry>  
         <oasis:entry colname="col3">18.56</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15–20 %</oasis:entry>  
         <oasis:entry colname="col2">38</oasis:entry>  
         <oasis:entry colname="col3">10.53</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">20–30 %</oasis:entry>  
         <oasis:entry colname="col2">31</oasis:entry>  
         <oasis:entry colname="col3">8.59</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">30–100 %</oasis:entry>  
         <oasis:entry colname="col2">18</oasis:entry>  
         <oasis:entry colname="col3">4.99</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Totals</oasis:entry>  
         <oasis:entry colname="col2">361</oasis:entry>  
         <oasis:entry colname="col3">100</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 11.4 %; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 9 %; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0–100 % </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Slope alignment</oasis:entry>  
         <oasis:entry colname="col2">Number of</oasis:entry>  
         <oasis:entry colname="col3">Percentage</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">sample points</oasis:entry>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0–22<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">23</oasis:entry>  
         <oasis:entry colname="col3">6.37</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">22–45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">92</oasis:entry>  
         <oasis:entry colname="col3">25.48</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">45–68<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">118</oasis:entry>  
         <oasis:entry colname="col3">32.69</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">68–90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">128</oasis:entry>  
         <oasis:entry colname="col3">35.46</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Totals</oasis:entry>  
         <oasis:entry colname="col2">361</oasis:entry>  
         <oasis:entry colname="col3">100</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 55.9<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0–90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Elevation</oasis:entry>  
         <oasis:entry colname="col2">Number of</oasis:entry>  
         <oasis:entry colname="col3">Percentage</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">sample points</oasis:entry>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2743–2896 m a.s.l. (lodgepole pine)</oasis:entry>  
         <oasis:entry colname="col2">22</oasis:entry>  
         <oasis:entry colname="col3">6.09</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2896–3505 m a.s.l. (spruce/fir)</oasis:entry>  
         <oasis:entry colname="col2">209</oasis:entry>  
         <oasis:entry colname="col3">57.89</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">3505–3962 m a.s.l. (alpine tundra)</oasis:entry>  
         <oasis:entry colname="col2">130</oasis:entry>  
         <oasis:entry colname="col3">36.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Totals</oasis:entry>  
         <oasis:entry colname="col2">361</oasis:entry>  
         <oasis:entry colname="col3">100</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3356.7 m a.s.l.; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3385.4 m a.s.l.; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2743–3962 m a.s.l. </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Data analysis</title>
      <p>Spatial data were transferred from GPS to EasyGPS and maps were created in
ArcGIS Desktop and ArcMap 10.2 applications. Statistical data were
transferred to Microsoft Excel and to statistical system SPSS 19 for further
analysis. Originally, all suitable statistical procedures (ANOVA,
nonparametric ANOVA Kruskal–Wallis test, two-sample Mann–Whitney test,
correlations (both classic Pearson and robust Spearman) and linear
regression analyses) were performed to investigate relationships between
dependent and independent variables. Nonparametric tests were used because
the data do not meet normality assumptions. Analysis focused primarily on
understanding the dependent variables of interest: trail width and CSA soil
loss. Linear regression modeling as dependence of soil loss variables to
grade variables was done, but the results were unsatisfactory (e.g., regression coefficient of determination below 10 %). That is why we
also tested robust nonparametric data mining decision trees implemented in
SPSS to gain multivariate models of tread widths vs. all relevant
indicators. In SPSS there are three types of decision trees: CHAID, CRT and
QUEST. For our purpose, CRT (classification and regression tree) appeared to
be the most suitable. From all used potential indicators of tread width, five
indicators are used in CRT: use level, name of trail, trail substrate –
vegetation, elevation and maximum incision.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Trail condition indicators</title>
      <p>We assessed 361 sample points along a total length of 55.43 km for seven
trails within RMNP. One short informal trail (1.42 km, 48 points) was
surveyed, though we excluded this trail from the overall statistical analyses
since sampling methods differed slightly.</p>
      <p>Approximately 13 % of the trails are located on flat terrain (0–2 %
grade), 24 % of the trail system has grades exceeding 15 % and only
5 % of the trails have grades exceeding 30 %. The mean grade of trails
is 11.4 %. It should be noted that many of the excessively steep
alignments have constructed rock steps or ascend exposed rock faces, which
are not susceptible to soil loss. Regarding the trail's slope alignment angle,
only 6 % of trails are aligned within 22<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of the landform
aspect or fall line. The mean elevation of the evaluated points is 3356.7 m a.s.l. (Table 2).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Number and percent of sample points by impact indicator category.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Indicator</oasis:entry>  
         <oasis:entry colname="col2">Sample points</oasis:entry>  
         <oasis:entry colname="col3">Percentage</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Trail width (cm)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0–61</oasis:entry>  
         <oasis:entry colname="col2">75</oasis:entry>  
         <oasis:entry colname="col3">20.78</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">61–91</oasis:entry>  
         <oasis:entry colname="col2">128</oasis:entry>  
         <oasis:entry colname="col3">35.46</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">91–122</oasis:entry>  
         <oasis:entry colname="col2">108</oasis:entry>  
         <oasis:entry colname="col3">29.92</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">122–152</oasis:entry>  
         <oasis:entry colname="col2">39</oasis:entry>  
         <oasis:entry colname="col3">10.80</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>152</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">11</oasis:entry>  
         <oasis:entry colname="col3">3.05</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 89.9; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 88.9; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0–193 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Trail width difference (cm)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>76</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">15</oasis:entry>  
         <oasis:entry colname="col3">4.16</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">143</oasis:entry>  
         <oasis:entry colname="col3">39.61</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15–76</oasis:entry>  
         <oasis:entry colname="col2">190</oasis:entry>  
         <oasis:entry colname="col3">52.63</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">76–152</oasis:entry>  
         <oasis:entry colname="col2">13</oasis:entry>  
         <oasis:entry colname="col3">3.60</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 22.6; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 20.3; range <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>45</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>147</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Maximum incision (cm)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0</oasis:entry>  
         <oasis:entry colname="col2">3</oasis:entry>  
         <oasis:entry colname="col3">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0–1.3</oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3">0.28</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1.3–2.5</oasis:entry>  
         <oasis:entry colname="col2">16</oasis:entry>  
         <oasis:entry colname="col3">4.43</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2.5–7.6</oasis:entry>  
         <oasis:entry colname="col2">209</oasis:entry>  
         <oasis:entry colname="col3">57.89</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">7.6–12.7</oasis:entry>  
         <oasis:entry colname="col2">107</oasis:entry>  
         <oasis:entry colname="col3">29.64</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7.1; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.3; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0–19 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CSA soil loss (cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0</oasis:entry>  
         <oasis:entry colname="col2">3</oasis:entry>  
         <oasis:entry colname="col3">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0–645</oasis:entry>  
         <oasis:entry colname="col2">291</oasis:entry>  
         <oasis:entry colname="col3">80.61</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">645–1290</oasis:entry>  
         <oasis:entry colname="col2">61</oasis:entry>  
         <oasis:entry colname="col3">16.90</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>1290</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">6</oasis:entry>  
         <oasis:entry colname="col3">1.66</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 444.5; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 387; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0–1509.6 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mean trail depth (cm)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0</oasis:entry>  
         <oasis:entry colname="col2">3</oasis:entry>  
         <oasis:entry colname="col3">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0.0–1.3</oasis:entry>  
         <oasis:entry colname="col2">7</oasis:entry>  
         <oasis:entry colname="col3">1.94</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1.3–2.5</oasis:entry>  
         <oasis:entry colname="col2">76</oasis:entry>  
         <oasis:entry colname="col3">21.05</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2.5–7.6</oasis:entry>  
         <oasis:entry colname="col2">251</oasis:entry>  
         <oasis:entry colname="col3">69.53</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7.6–12.7</oasis:entry>  
         <oasis:entry colname="col2">23</oasis:entry>  
         <oasis:entry colname="col3">6.37</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>12.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3">0.28</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col3">Mean <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.1; median <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.8; range <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0–12.9 </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>The trail width maximum is 193 cm, with a mean of 89.9 cm. Fewer than 14 % of
the trails exceed 120 cm in width. The mean trail width difference was 56.9 cm,
indicating that trails are generally wider than intended by trail data
standards. Incision ranged from 0 to 19.1 cm, with a mean of 7.1 cm.
Cross-sectional area soil loss measurements (CSA) ranged from 0 to 1510 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>,
with a mean of 444.5 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. A more representative measure of
trail incision is provided by calculating the mean trail depth from the vertical
measures recorded to compute CSA. This measure ranged from 0 to 12.9 cm, with
a mean of 4.1 cm (Table 3).</p>
      <p>Finally, assessments of the tread substrate as a proportion of transect
width are used to characterize the typical trail system substrates described
in Fig. 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Mean trail substrate cover as a proportion of transect (tread)
width.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016-f03.png"/>

        </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T4"><caption><p>Summary statistics of tread width (TW), tread width difference
(DIF), maximum incision (MIC) and soil loss (CSA) by use level, side-hill
trails and use type. SD refers to standard deviation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Use level</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">TW</oasis:entry>  
         <oasis:entry colname="col4">DIF</oasis:entry>  
         <oasis:entry colname="col5">MIC</oasis:entry>  
         <oasis:entry colname="col6">CSA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">141</oasis:entry>  
         <oasis:entry colname="col4">141</oasis:entry>  
         <oasis:entry colname="col5">141</oasis:entry>  
         <oasis:entry colname="col6">141</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">63.5</oasis:entry>  
         <oasis:entry colname="col4">17.8</oasis:entry>  
         <oasis:entry colname="col5">6.65</oasis:entry>  
         <oasis:entry colname="col6">316.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Low</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">63.5</oasis:entry>  
         <oasis:entry colname="col4">17.8</oasis:entry>  
         <oasis:entry colname="col5">5.71</oasis:entry>  
         <oasis:entry colname="col6">251.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">21.6</oasis:entry>  
         <oasis:entry colname="col4">21.6</oasis:entry>  
         <oasis:entry colname="col5">3.48</oasis:entry>  
         <oasis:entry colname="col6">223.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">0</oasis:entry>  
         <oasis:entry colname="col4">45.7</oasis:entry>  
         <oasis:entry colname="col5">0.00</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">127</oasis:entry>  
         <oasis:entry colname="col4">81.3</oasis:entry>  
         <oasis:entry colname="col5">19.05</oasis:entry>  
         <oasis:entry colname="col6">1051.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">127</oasis:entry>  
         <oasis:entry colname="col4">127</oasis:entry>  
         <oasis:entry colname="col5">127</oasis:entry>  
         <oasis:entry colname="col6">127</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">101.6</oasis:entry>  
         <oasis:entry colname="col4">27.9</oasis:entry>  
         <oasis:entry colname="col5">6.76</oasis:entry>  
         <oasis:entry colname="col6">445.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Middle</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">96.5</oasis:entry>  
         <oasis:entry colname="col4">20.3</oasis:entry>  
         <oasis:entry colname="col5">6.35</oasis:entry>  
         <oasis:entry colname="col6">393.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">26.9</oasis:entry>  
         <oasis:entry colname="col4">33.8</oasis:entry>  
         <oasis:entry colname="col5">2.97</oasis:entry>  
         <oasis:entry colname="col6">242.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">35.6</oasis:entry>  
         <oasis:entry colname="col4">25.4</oasis:entry>  
         <oasis:entry colname="col5">1.90</oasis:entry>  
         <oasis:entry colname="col6">90.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">193.0</oasis:entry>  
         <oasis:entry colname="col4">147.3</oasis:entry>  
         <oasis:entry colname="col5">17.78</oasis:entry>  
         <oasis:entry colname="col6">1509.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">93</oasis:entry>  
         <oasis:entry colname="col4">93</oasis:entry>  
         <oasis:entry colname="col5">93</oasis:entry>  
         <oasis:entry colname="col6">93</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">114.3</oasis:entry>  
         <oasis:entry colname="col4">22.9</oasis:entry>  
         <oasis:entry colname="col5">8.56</oasis:entry>  
         <oasis:entry colname="col6">645.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">High</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">114.3</oasis:entry>  
         <oasis:entry colname="col4">22.9</oasis:entry>  
         <oasis:entry colname="col5">7.62</oasis:entry>  
         <oasis:entry colname="col6">574.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">19.8</oasis:entry>  
         <oasis:entry colname="col4">19.8</oasis:entry>  
         <oasis:entry colname="col5">3.20</oasis:entry>  
         <oasis:entry colname="col6">285.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">78.7</oasis:entry>  
         <oasis:entry colname="col4">12.7</oasis:entry>  
         <oasis:entry colname="col5">3.17</oasis:entry>  
         <oasis:entry colname="col6">251.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">162.6</oasis:entry>  
         <oasis:entry colname="col4">71.1</oasis:entry>  
         <oasis:entry colname="col5">17.14</oasis:entry>  
         <oasis:entry colname="col6">1490.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Side-hill trails</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">315</oasis:entry>  
         <oasis:entry colname="col4">315</oasis:entry>  
         <oasis:entry colname="col5">315</oasis:entry>  
         <oasis:entry colname="col6">315</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">87.2</oasis:entry>  
         <oasis:entry colname="col4">21.9</oasis:entry>  
         <oasis:entry colname="col5">7.1</oasis:entry>  
         <oasis:entry colname="col6">424.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">No</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">86.4</oasis:entry>  
         <oasis:entry colname="col4">20.3</oasis:entry>  
         <oasis:entry colname="col5">6.4</oasis:entry>  
         <oasis:entry colname="col6">380.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">32.4</oasis:entry>  
         <oasis:entry colname="col4">26.7</oasis:entry>  
         <oasis:entry colname="col5">3.3</oasis:entry>  
         <oasis:entry colname="col6">266.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>45.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">193.0</oasis:entry>  
         <oasis:entry colname="col4">147.3</oasis:entry>  
         <oasis:entry colname="col5">19.1</oasis:entry>  
         <oasis:entry colname="col6">1451.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">46</oasis:entry>  
         <oasis:entry colname="col4">46</oasis:entry>  
         <oasis:entry colname="col5">46</oasis:entry>  
         <oasis:entry colname="col6">46</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">108.8</oasis:entry>  
         <oasis:entry colname="col4">27.3</oasis:entry>  
         <oasis:entry colname="col5">7.9</oasis:entry>  
         <oasis:entry colname="col6">578.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Yes</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">109.2</oasis:entry>  
         <oasis:entry colname="col4">22.9</oasis:entry>  
         <oasis:entry colname="col5">7.3</oasis:entry>  
         <oasis:entry colname="col6">493.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">22.4</oasis:entry>  
         <oasis:entry colname="col4">24.6</oasis:entry>  
         <oasis:entry colname="col5">3.7</oasis:entry>  
         <oasis:entry colname="col6">328.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">66.0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>12.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">2.5</oasis:entry>  
         <oasis:entry colname="col6">129.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">177.8</oasis:entry>  
         <oasis:entry colname="col4">132.1</oasis:entry>  
         <oasis:entry colname="col5">17.8</oasis:entry>  
         <oasis:entry colname="col6">1509.7</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Use type</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">171</oasis:entry>  
         <oasis:entry colname="col4">171</oasis:entry>  
         <oasis:entry colname="col5">171</oasis:entry>  
         <oasis:entry colname="col6">171</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">109.6</oasis:entry>  
         <oasis:entry colname="col4">18.1</oasis:entry>  
         <oasis:entry colname="col5">7.6</oasis:entry>  
         <oasis:entry colname="col6">547.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">A</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">109.2</oasis:entry>  
         <oasis:entry colname="col4">17.8</oasis:entry>  
         <oasis:entry colname="col5">7.0</oasis:entry>  
         <oasis:entry colname="col6">483.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">20.8</oasis:entry>  
         <oasis:entry colname="col4">20.8</oasis:entry>  
         <oasis:entry colname="col5">3.1</oasis:entry>  
         <oasis:entry colname="col6">283.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">66.0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>25.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1.9</oasis:entry>  
         <oasis:entry colname="col6">90.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">185.4</oasis:entry>  
         <oasis:entry colname="col4">94.0</oasis:entry>  
         <oasis:entry colname="col5">17.1</oasis:entry>  
         <oasis:entry colname="col6">1490.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">190</oasis:entry>  
         <oasis:entry colname="col4">190</oasis:entry>  
         <oasis:entry colname="col5">190</oasis:entry>  
         <oasis:entry colname="col6">190</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">72.3</oasis:entry>  
         <oasis:entry colname="col4">26.5</oasis:entry>  
         <oasis:entry colname="col5">6.8</oasis:entry>  
         <oasis:entry colname="col6">351.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">F</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">66.0</oasis:entry>  
         <oasis:entry colname="col4">20.3</oasis:entry>  
         <oasis:entry colname="col5">6.4</oasis:entry>  
         <oasis:entry colname="col6">296.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">30.1</oasis:entry>  
         <oasis:entry colname="col4">30.1</oasis:entry>  
         <oasis:entry colname="col5">3.4</oasis:entry>  
         <oasis:entry colname="col6">240.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>45.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">193.0</oasis:entry>  
         <oasis:entry colname="col4">147.3</oasis:entry>  
         <oasis:entry colname="col5">19.1</oasis:entry>  
         <oasis:entry colname="col6">1509.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4"><caption><p>Box plots of trail width (TW), maximum incision
(MIC) and soil loss (CSA) values for three levels of trail use.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016-f04.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5"><caption><p>Summary statistics of trail grade (TG), trail slope ratio (TSR) and
trail slope alignment angle (TSA) by secondary treads. SD refers to standard deviation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">ST</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">TG</oasis:entry>  
         <oasis:entry colname="col4">TSR</oasis:entry>  
         <oasis:entry colname="col5">TSA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">312</oasis:entry>  
         <oasis:entry colname="col4">312</oasis:entry>  
         <oasis:entry colname="col5">312</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">11</oasis:entry>  
         <oasis:entry colname="col4">0.59</oasis:entry>  
         <oasis:entry colname="col5">57</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">No</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">9</oasis:entry>  
         <oasis:entry colname="col4">0.50</oasis:entry>  
         <oasis:entry colname="col5">60</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">9</oasis:entry>  
         <oasis:entry colname="col4">0.92</oasis:entry>  
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">0</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">10</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">59</oasis:entry>  
         <oasis:entry colname="col4">15.00</oasis:entry>  
         <oasis:entry colname="col5">90</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">49</oasis:entry>  
         <oasis:entry colname="col4">49</oasis:entry>  
         <oasis:entry colname="col5">49</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean</oasis:entry>  
         <oasis:entry colname="col3">12</oasis:entry>  
         <oasis:entry colname="col4">0.66</oasis:entry>  
         <oasis:entry colname="col5">50</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Yes</oasis:entry>  
         <oasis:entry colname="col2">Median</oasis:entry>  
         <oasis:entry colname="col3">10</oasis:entry>  
         <oasis:entry colname="col4">0.69</oasis:entry>  
         <oasis:entry colname="col5">50</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SD</oasis:entry>  
         <oasis:entry colname="col3">9</oasis:entry>  
         <oasis:entry colname="col4">0.38</oasis:entry>  
         <oasis:entry colname="col5">19</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Minimum</oasis:entry>  
         <oasis:entry colname="col3">0</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Maximum</oasis:entry>  
         <oasis:entry colname="col3">43</oasis:entry>  
         <oasis:entry colname="col4">2.00</oasis:entry>  
         <oasis:entry colname="col5">90</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Trail conditions by classic analyses</title>
      <p>Results for different use level (low–medium–high) are highly
significant for medians of trail width (63.5 vs. 96.5 vs. 114.3 cm), maximum
incision (5.7 vs. 6.3 vs. 7.6 cm) and soil loss (251.6 vs. 393.5 vs. 574.2 cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>;
Kruskal–Wallis test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>. An increased visitor use leads to greater
mean values of width, soil loss and maximum incision of trail (medians of
maximum incision for low and middle use level are not different). Difference
of tread width difference by use level was not significant (17.8 vs. 20.3 vs.
22.9 cm, Kruskal–Wallis test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.06</mml:mn></mml:mrow></mml:math></inline-formula>, see Table 4 and Fig. 4). When looking
at side-hill trails, there is a higher median of tread width (109 vs. 86 cm;
Wilcoxon test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>). The difference of maximum incision for side-hill
trails is not significant (6.40 vs. 7.30 cm, Wilcoxon test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.234</mml:mn></mml:mrow></mml:math></inline-formula>) –
see Table 4. When comparing two groups of visitors (hikers and horseback
riders), the Wilcoxon test resulted in medians that were greater for
horseback riders: trail width (109.2 vs. 66 cm; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>); maximum incision (7
vs. 6.4 cm; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.021</mml:mn></mml:mrow></mml:math></inline-formula>) and soil loss (483.9 vs. 296.8 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>).
Contrary to this, tread width differences were smaller for horseback riders
than hikers (17.8 vs. 20.3 cm; Wilcoxon test <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.011</mml:mn></mml:mrow></mml:math></inline-formula>) – see Table 4.</p>
      <p>From the dependencies, it was identified that the greater incidence of
secondary treads is connected with a higher median of trail slope ratio (0.69
vs. 0.50; Wilcoxon test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.021</mml:mn></mml:mrow></mml:math></inline-formula>) and lower median of trail slope alignment
(50 vs. 60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; Wilcoxon test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.020</mml:mn></mml:mrow></mml:math></inline-formula>). Difference of trail grade
for secondary treads is not significant (9 vs. 10 %, Wilcoxon test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.348</mml:mn></mml:mrow></mml:math></inline-formula>) – see Table 5.</p>
      <p>Rugosity can strongly influence existence of secondary treads and trail
width. After analyses, we only confirmed significant dependence for some
trails (e.g., Mann–Whitney test showed dependence of rugosity vs. secondary
treads occurrence on Ute West trail and linear dependence on Mount Ida trail
between rugosity and trail width). We need to highlight that results for
each of the trails are not the same for all variables, so any generalization
and subsequent interpretation must be cautious and exercised with respect to
local conditions (e.g., in case of previous results existence of natural or
human-induced barriers along trails which prevent trail widening) and a number
of sample points.</p>
      <p>When soil loss was analyzed more deeply, correlation coefficients showed no
meaningful dependence between soil loss, trail slope ratio and trail slope
alignment. The maximum incision is only significantly dependent when compared to
trail and landform grade. Trail width decreases with increasing
elevation on average due to a smaller number of visitors (the higher elevation, the
narrower trail). For maximum incision the dependence is positive (incision
is in average greater for higher elevation) – influence of rough weather
and missing forest canopy (susceptibility to erosion).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>CRT regression tree of tread width.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <title>Decision trees</title>
      <p>Because interpretation of results is rather complicated we also tested data
mining decision trees to gain meaningful insights. For modeling tread width
dependence, the tree diagram (Fig. 5) shows that the use level is the best (i.e., the most
significant) predictor of tread width. The proportion of tread
width variance explained by CRT is 55 %, which indicates a good model.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Example of soil loss volume on evaluated trails, indicating
the worst points to managers.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://se.copernicus.org/articles/7/115/2016/se-7-115-2016-f06.jpg"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion and management implications</title>
      <p>National Park Service units are charged with providing opportunities for
recreation along with the protection and preservation of natural and
cultural resources and ecological processes. This research provides
information on the impacts of visitor use to trails and which abiotic
factors are the most influential on trail conditions. This type of
information can serve as the basis for the management of visitors. This research
used a variety of trail inventory and impact indicators to understand trail
conditions, while also providing a baseline to assess future trail conditions
against, as it serves as data for the current condition of trails (see
example in Fig. 6). These data could also be used for the evaluation of
trail condition trends over time which allows for more informed management
decisions to be made in the future.</p>
      <p>During the initial literature review, we found many studies related to trail
impacts monitoring and trail indicators. Dixon et al. (2004) proposed the
use of two trail indicators – track depth and track width – to understand
trail conditions. Their analysis revealed that track depth and rates of
erosion are strongly influenced by track type and to a lesser extent by
usage, while track width is influenced mainly by usage and track bogginess.
Slope of the path and the number of visitors were two main factors
explaining trail width and depth in other studies (Selkimaki and
Mola-Yudego, 2011). Tomczyk and Ewertowski (2013) discovered that no
connection was demonstrated between amount (number of visitors) or type of
trail use and the amount of soil loss or deposition a trail underwent. A
study by Jubenville and O'Sullivan (1987) concluded that vegetation type
and slope gradient to trail erosion explained not much of variance in soil
loss (could be explained by trail design and permafrost in Alaska). Nepal (2003)
found that trails tend to be more degraded at higher altitude and on
steep gradients, along with a strong positive correlation between trail
degradation and frequencies of visitor use. Nepal and Nepal (2004) also
found a strong correlation between visitor use and trail degradation.
However, locational and environmental factors are equally important
variables. The study concludes that more systematic and experimental
studies are needed that can make a clear distinction between human-induced
trail damage and the effects of natural factors. Trail grade and trail slope
alignment angle, which often impact trail width and soil loss, were the two
most important inventory indicators (Dissmeyer and Foster, 1984; Aust et
al., 2004) assessed in the survey. Trails located in flatter terrain can be
susceptible to widening and muddiness problems due to drainage issues.
Fall-aligned trails are of particular concern due to their increased
potential for erosion. This study found that trail alignment tends to be
more influential on soil loss than the predominant type of visitor use (e.g., horse vs. hiker traffic) or number of users. We also assumed that soil loss
increases exponentially with steeper trail grade, though the natural
rockiness of RMNP's trail treads and stonework in our case probably limit
erosion and help sustain steeper trail sections. Soil loss, attributable to
several causal factors, was assessed for the trails using three measures:
mean trail depth (7.1 cm), maximum incision (19.0 cm) and cross-sectional
area (444.5 cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Relational analyses for soil loss revealed that level
of trail use and trail grade had the most influence, however dependence with
trail slope alignment angle was not significant as other studies found (e.g., Wimpey and Marion, 2010). Ólafsdóttir and Runnström (2013)
discovered, after analyzing several physical properties, that only elevation has
a clear relationship with hiking trail condition in their study sites.
Severe conditions never apply to a whole trail, suggesting that trail
conditions are a function of trampling magnitude and local physical
properties. Hence, when maintaining hiking trails in vulnerable
environments, a holistic understanding of the effects of trampling is
critical for trail sustainability.</p>
      <p>When comparing two types of recreational visitor use (hikers and horseback
riders), our results indicated that medians were greater for trail width,
maximum incisions and soil loss in case of trails that allowed horseback
riders. This shows that horse use within the park generally increases
impacts on the trail system when looking at specific indicators in specific
locations. It is compatible with results of other studies. Pack animals,
according to Barros and Pickering (2015), caused more damage than hikers to the
alpine meadow and their impacts were apparent at a lower level of use than
for hikers. Horse traffic also consistently made more sediment available for
erosion from llamas, hikers or no traffic (Deluca at al., 1998). It is also
important to notice that horse riding trails can promote exotic plant
species, many of which are not native to the area, which may lead to changes
in the structure of vegetation communities (Törn et al., 2009).</p>
      <p>Fall-aligned trails, with steeper grades, frequently require significant
investments in rockwork and maintenance to keep them sustainable and to keep them from
widening. This is especially true in areas prone to freeze/thaw and water
runoff. Trail width can also be influenced by many other variables
including use level, visitor behavior, trail grade, landform grade, trail
ruggedness and trail borders. Wimpey and Marion (2010) found the
relationship of trail width was most associated with trail and landform
grade and trail slope alignment since steeper grade restricted lateral
dispersion of hikers. Our results confirm that trail width is predominantly
a function of use level. Mean trail width is a relatively wide 89.9 cm,
though many trails are purposefully designed with wider widths to support
heavy visitor use. A trail width difference with a mean of 22.6 cm
indicates that the formal trails are generally wider than intended. Other
important factors we found were the behavior of visitors and absence of
trail borders. Trails without borders will lead to further widening, since
visitors have a hard time discerning where the trail is located. The
ruggedness of a trails' tread can also encourage the widening of trails,
since hikers often look for easier passage to avoid these areas which are
often along trail sides. To address these issues, managers can manipulate the
level of trail use, create trail borders or educate visitors on how to
decrease their impact on trails. These solutions are easily implemented and
relatively cost-effective. An obvious solution for managers to prevent soil
loss would be to control use levels, though this is often not popular with
visitors and does not act as part of the park's mission to allow access. A
second option would be to relocate trails located in areas highly prone to
soil loss. Wilderness values may inhibit relocations of trails so this might
be an option that could be used only in select locations (excessively steep
or aligned closely to the fall line). A third option is to shorten the time
between regular maintenance visits for each trail (Birchard and Proudman,
2000). This option would likely be the least economic and have impacts on
visitation and wilderness due to the more frequent presence of workers or
closures of trails for work. Some authors commonly recommend preventing soil
loss by keeping grades of less than 10–12 % (Hooper, 1988; Hesselbarth et
al., 2007), trail slope alignment higher than 22<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (Olive and
Marion, 2009) and trail slope ratio less than 0.5 (IMBA, 2004). Our survey
found that 24 % of the evaluated trails exceed a grade of 15 %.
Additionally, only 6 % of the evaluated trails are aligned within
22<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of the fall line, which makes the dispersion of water more
challenging and thus increases soil erosion. Soil erosion would likely have
been much higher than assessed if not for the substantial amount of granitic
rock in the soils and the extensive use of rock steps – see also Fig. 2.
Moore et al. (2012) stated that unmaintained trail impacts are negatively
perceived by visitors and have an overall adverse effect on visitor
experiences, providing support for proper trail design and maintenance.
Ballantyne et al. (2014) recommended that management should seek to minimize
the creation of informal trails by hardening popular routes and centralizing
visitor flow. Different walking track types can have an effect on different
vegetation characteristics (Hill and Pickering, 2006). In some cases closure
of recreational sites and trails can be a solution for trail degradation.
However, to improve soil properties, long periods of closure are necessary
due to slow soil-forming processes (Özcan et al., 2013; Sharratt et al.,
1998; Brevik and Fenton, 2012). Another option is the importance role of
trampling tolerant vegetation communities which can be both resistant and resilient
to increased use (Pickering and Growcock, 2009). Restoring
damage to natural vegetation and soils by human use in alpine environments
can be extremely challenging due to the severity of the environment which
restricts plant growth and increases the potential for soil erosion (Scherrer and
Pickering, 2006).</p>
      <p>Regarding methods, a distance-based technique, in which measurements are made at
regular spatial intervals, is quite time-consuming. A technique of sampling at 20 m
intervals can be used to assess typically 5–7 km of track per day
in remote areas (Hawes et al., 2006). Our experiences confirmed time
consumption so there will be fair discussion about practicality to repeat
these measurements as a part of a potential monitoring program. A combination
with GIS-based methodologies could be a more effective tool (Hawes et al.,
2013; Ballantyne et al., 2014; Ólafsdóttir and Runnström, 2013)
to examine the relationship between trail condition assessment and local
physical properties, such as elevation, gradient, soil type and vegetation
cover. For further trail monitoring, a recommendation to consider is the
possibility of increasing precision of measurements (submeter accuracy GPS
units, smaller intervals for measurements between sampling points of 30 m;
this will increase time capacity). Lidar-derived terrain models could
greatly speed up collection of measurements (Nadal-Romero et al., 2015).
Maximum incision and trail width are the most significant predictors of CSA
which can be used for simplifying during measurements. Measurements of CSA
could be influenced as well by boundary determinations (historic vs. recent erosion). Trail work prior to this study could have also impacted the
precision of measurements taken. For example, previous side-hill work along
the trail may have also altered the final estimation of soil loss since these
practices would have helped keep soil in place. It is also important to add
the presence of a trail border into the point sampling from what can be used for
analysis, especially with the trail width indicator. Contrary to the
original methodology for simplification, we slightly modified categories of
trail surface.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>This study has set out to understand and assess impacts on the trail network
of the RMNP study area to gain information on how abiotic factors such as
grade, elevation, surface type and trail slope alignment can influence trail
conditions. Additionally, we looked at how visitation type (e.g., people vs.
horses) and level of use impacted trails and finally, we wanted to determine
which factors were most important and what connection between factors
existed. This information could then be used to help managers reduce the
effects of increased visitor use on trails and other resources of the park.</p>
      <p>After assessing the trail conditions within the study area we found that
grade, elevation, surface type and trail slope alignment were all important
factors to determine trail degradation. It does appear that certain factors,
such as trail slope alignment, are more important than others when
considering soil loss or trial widening. Furthermore, factors such as grade
and elevation are important factors when considering loss of vegetation. We
would recommend that any robust trail monitoring program would include
monitoring all the aforementioned trail indicators and factors.</p>
      <p>When we looked at the different types and volume of trail usage, only factors
such as maximum incision, trail width and soil loss were considerably
affected. Horse trails tended to be more incised, wider and had more soil
loss than trails closed to horses, meaning use type was important to consider
when maintaining or constructing trails. When looking at how use levels
impact trail conditions, only one indicator was impacted significantly – tread
width – meaning that more users only seem to make trails wider. This make
sense since there will be more users passing by each other along the trail.</p>
      <p>We believe that any solid trail monitoring program would use all trail
indicators and factors mentioned. Each factor and indicator is either directly
or indirectly connected to each of the others, so omitting any may increase
the likelihood of misunderstanding what is causing trail degradation. For
example, trail slope alignment and grade together were the strongest
indicators for predicting soil loss, though indicators such as usage type
also impacted soil loss. As visitation of protected areas is going to increase
as populations grow and face new challenges from changing climates, it is
important to continue to monitor, learn and adapt if these areas are to
remain accessible while protecting the valuable resources found within them.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>Authors would like to thank Rocky Mountain National Park for their support
and technical assistance during fieldwork, the Slovak–American Foundation for
financing research and publication of results, Jeff Marion, Yu-Fai Leung,
Jeff Connor and anonymous reviewers for valuable advice concerning
methodology and the first version of manuscript. This research was also
supported by the VEGA project no. 1/0411/14, “Tourist visitation as a factor
influencing the diversity of organisms in protected areas”.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: A. Cerdà</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>
Aust, M. W., Marion, J. L., and Kyle, K.: Research for the Development
of Best Management Practices for Minimizing Horse Trail Impacts on the
Hoosier National Forest, Management Report, US Department of
Agriculture, US Forest Service, Bedford, IN, USA, 77 pp., 2004.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Ballantyne, M. and Pickering, C. M.: Recreational trails as a source
of negative impacts on the persistence of keystone species and facilitation,
J. Environ. Manage., 159, 48–57, 2015.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>
Ballantyne, M., Gudes, O., and Pickering, C. M.: Recreational trails are an
important cause of fragmentation in endangered urban forests: a case-study
from Australia, Landscape Urban Plan., 130, 112–124, 2014.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>
Barros, A. and Pickering, C. M.: Impacts of experimental
trampling by hikers and pack animals on a high-altitude alpine sedge
meadow in the Andes, Plant Ecol. Divers., 8, 265–276, 2015.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>
Barros, A., Monz, C., and Pickering, C.: Is tourism damaging ecosystems
in the Andes? Current knowledge and an agenda for future research, Ambio, 44,
82–98, 2015.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>
Benninger-Truax, M., Vankat, J. L., and Schaefer, R. L.: Trail corridors as
habitat and conduits for movement of plant species in Rocky Mountain National
Park, Colorado, USA, Landscape Ecol., 6, 269–278, 1992.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>
Birchard, W. and Proudman, R. D.: Appalachian Trail
Design, Construction, and Maintenance, 2nd edition, Appalachian Trail
Conference, Harpers Ferry, WV, USA, 237 pp., 2000.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>
Brevik, E. C. and Fenton, T. E.: Long-term effects of compaction on soil
properties along the Mormon Trail, South-Central Iowa, USA, Soil. Horiz.,
53, 37–42, 2012.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>
Bright, J. A.: Hiker impact on herbaceous vegetation along trails in an
evergreen woodland of Central Texas, Biol. Conserv., 36, 53–69, 1986.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>
Chrisfield, V. E., Macdonald, S. E., and Gould, A. J.: Effects of recreational
traffic on alpine plant communities in the northern Canadian Rockies, Arct.
Antarct. Alp. Res., 44, 277–287, 2012.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>
Cole, D. N.: Assessing and monitoring backcountry trail conditions,
Research Paper INT-303, US Department of
Agriculture, Forest Service, Intermountain Research Station, Ogden,
UT, USA, 10 pp., 1983.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>
Cole, D. N.: Low-impact recreational practices for wilderness and
backcountry, General Technical Report INT-265, US Department of Agriculture, Forest Service, Intermountain Research
Station, Ogden, UT, USA, 131 pp., 1989.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>
Deluca, T., Patterson Iv, W., Freimund, W. A., and Cole, D.: Influence of
llamas, horses, and hikers on soil erosion from established recreation trails
in western Montana, USA, Environ. Manage., 22, 255–262, 1998.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>
Dissmeyer, G. E. and Foster, G. R.: A guide for
predicting sheet and rill erosion on forestland, General Technical
Publication R8-TP 6, US Department of Agriculture, Forest Service,
Atlanta, GA, USA, 40 pp., 1984.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>
Dixon, G., Hawes, M., and McPherson, G.: Monitoring and modeling walking
track impacts in the Tasmanian wilderness World Heritage Area, Australia, J.
Environ. Manage., 71, 305–320, 2004.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>
Farrell, T. A. and Marion, J. L.: Trail impacts and trail impact management
related to visitation at Torres del Paine National Park, Chile, Leisure, 26,
31–59, 2001.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>
Godefroid, S. and Koedam, N.: The impacts of forest paths upon adjacent
vegetation: Effects of the path surfacing material on the species
composition and soil compaction, Biol. Conserv., 119, 405–419, 2004.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>
Gonzalez, P.: Climate Change Trends and Impacts for Planning at Rocky
Mountain National Park, National Park Service, Natural Resource Stewardship
and Science, Washington, DC, 7 pp., 2012.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>
Hammitt, W. E., Cole, D. N., and Monz, C. A.: Wildland
recreation: ecology and management, Wiley, New York, USA, 328 pp., 2015.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>
Hawes, M., Candy, S., and Dixon, G.: A method for surveying the condition of
extensive walking track systems, Landscape Urban Plan., 78, 275–287, 2006.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>
Hawes, M., Dixon, G., and Ling, R.: A GIS-based methodology for predicting
walking track stability, J. Environ. Manage., 115, 295–299, 2013.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>
Hesselbarth, W., Vachowski, B., and Davies, M. A.: Trail
construction and maintenance notebook, Tech. Rpt. 0723-2806-MTDC,
US Department of Agriculture Forest Service, Missoula Technology
and Development Center, Missoula, MT, USA, 2007.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>
Hill, W. and Pickering, C.: Vegetation associated with different walking
track types in the Kosciuszko alpine area, Australia, J. Environ. Manage.,
78, 24–34, 2006.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>
Hill, W. and Pickering, C.: Comparison of condition class, point sampling and
track problem assessment methods in assessing the condition of walking tracks
in New South Wales protected areas, CRC for Sustainable Tourism Pty Ltd., Queensland,
Australia, 2009.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>
Hooper, L.: National Park Service Trails Management Handbook, USD1
National Park Service, Denver Service Center, Denver, CO, USA, 53 pp., 1988.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>
Ibáñez, J. J., Pérez-Gómez, R., Oyonarte, C., and Brevik, E.
C.: Are there arid land soilscapes in Southwestern Europe?, Land Degrad.
Develop., 26, 785–862, 2015.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>
IMBA: Trail Solutions: IMBA's guide to building sweet singletrack, The
International Mountain Bike Association, Boulder, CO, USA, 2004.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>IRMA: National Park Service Visitor Use Statistics,
Integrated Resource Management Applications,
<uri>https://irma.nps.gov/Stats/</uri> (last access: 30 June 2015), 2014.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>
Jewell, M. C. and Hammitt, W. E.: Assessing soil erosion
on trails: a comparison of techniques, in: Proceedings RMRS, Wilderness
Science in a Time of Change Conference, Volume 5: Wilderness
ecosystems, threats, and management, Missoula, Montana,
USA, 23–27 May 1999, United States Department of Agriculture,
Forest Service, Rocky Mountain Research Station, Ogden, UT, USA, 133–140, 2000.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>
Jubenville, A. and O'Sullivan, K.: Relationship of vegetation type and slope
gradient to trail erosion in interior Alaska, J. Soil Water Conserv., 42,
450–452, 1987.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>
KellerLynn, K.: Impacts of path surfaces on surrounding vegetation,
Park Science, 24, p. 21, 2006.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>
Kim, S.-O. and Shelby, B.: Comparing onsite and offsite methods for measuring
norms for trail impacts, Environ. Manage., 37, 567–578, 2006.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>
Lance, A. N., Baugh, I. D., and Love, J. A.: Continued footpath widening in
the Cairngorm mountains, Scotland, Biol. Conserv.,  49, 201–214, 1989.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>
Leung, Y. F. and Marion, J. L.: Recreation impacts and
management in wilderness: a state of knowledge
review, in: Proceedings RMRS, Wilderness
Science in a Time of Change Conference, Volume 5: Wilderness
ecosystems, threats, and management, Missoula, Montana,
USA, 23–27 May 1999, United States Department of Agriculture,
Forest Service, Rocky Mountain Research Station, Ogden, UT, USA, 23–48, 2000.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>
Manning, R.: Studies in Outdoor Recreation. Search and research for
satisfaction, 2nd edition, Oregon State University Press, Corvallis,
OR, USA, 1999.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>
Marion, J. L. and Leung, Y. F.: Trail resource impacts and an examination
of alternative assessment techniques, Journal of Park and Recreation
Administration, 19, 17–37, 2001.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>
Marion, J. L., Wimpey, J., and Park, L.: Informal and
formal trail monitoring protocols and baseline conditions: Acadia
National Park, final report, US Geological Survey, Virginia Tech College of Natural Resources and Environment,
Blacksburg, VA, USA, 95 pp., 2011.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>
McCool, S. F. and Lime, D. W.: Tourism carrying capacity: tempting fantasy or useful reality?, J. Sustain. Tour., 9, 372–388, 2001.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>
Monti, P. W. and MacKintosh, E. E.: Effects of camping on surface soil
properties in the boreal forest region of Northwestern Ontario, Canada, Soil
Sci. Soc. Am. J., 43, 1024–1029, 1979.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>
Monz, C. A.: Recreation resource assessment and monitoring techniques
for mountain regions, in: Tourism and development in mountain regions,
edited by: Godde, P. M., Price, M., and Zimmermann, F. M., CABI Publishing, Oxon, UK, 47–68, 2000.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>
Monz, C. A., Pickering, C. M., and Hadwen, W. L.: Recent advances in
recreation ecology and the implications of different relationships between
recreation use and ecological impacts, Front. Ecol. Environ., 11, 441–446,
2013.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>
Moore, R. L., Leung, Y.-F., Matisoff, C., Dorwart, C., and Parker, A.:
Understanding users' perceptions of trail resource impacts and how they
affect experiences: an integrated approach, Landscape Urban Plan., 107,
343–350, 2012.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Nadal-Romero, E., Revuelto, J., Errea, P., and López-Moreno, J. I.:
The application of terrestrial laser scanner and SfM photogrammetry in measuring
erosion and deposition processes in two opposite slopes in a humid badlands area
(central Spanish Pyrenees), SOIL, 1, 561–573, <ext-link xlink:href="http://dx.doi.org/10.5194/soil-1-561-2015" ext-link-type="DOI">10.5194/soil-1-561-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>
Nepal, S.: Trail impacts in Sagarmatha (Mt. Everest) National Park, Nepal:
a logistic regression analysis, Environ. Manage., 32, 312–321, 2003.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>
Nepal, S. K. and Nepal, S. A.: Visitor impacts on trails in the Sagarmatha
(Mt. Everest) National Park, Nepal, Ambio, 33, 334–340, 2004.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>
NPS: State of the Alpine Report for Rocky Mountain National Park Summary
Report, USDI National Park Service Fort Collins, Colorado, USA, 42 pp., 2010.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>
Ólafsdóttir, R. and Runnström, M.: Assessing hiking trails
condition in two popular tourists' destination in the Icelandic highlands,
Journal of Outdoor Recreation and Tourism, 3–4, 57–67, 2013.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>
Olive, N. D. and Marion, J. L.: The influence of use-related, environmental
and managerial factors on soil loss from ecreational trails, J. Environ.
Manage., 90, 1483–1493, 2009.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>
Özcan, M., Gökbulak, F., and Hizal, A.: Exclosure effects on recovery
of selected soil properties in a mixed broadleaf forest recreation site, Land
Degrad. Dev., 24, 266–276, 2013.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>
Pettebone, D., Newman, P., and Theobald, D.: A comparison of sampling designs
for monitoring recreational trail impacts in Rocky Mountain National Park,
Environ. Manage., 43, 523–532, 2009.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>
Pickering, C. M. and Growcock, A. J.: Impacts of experimental trampling on
tall alpine herbfields and subalpine grasslands in the Australian Alps, J.
Environ. Manage., 91, 532–540, 2009.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Pickering, C. M., Hill, W., Newsome, D., and Leung, Y.-F.: Comparing hiking,
mountain biking and horse riding impacts on vegetation and soils in Australia
and the United States of America, J. Environ. Manage., 91, 551–562, 2010.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>
RMNP: Trail System Maintenance and Reconstruction Plan 2000, an update to the
May 1982 Trail Plan, USDI National Park Service, RMNP Colorado, CO, USA,
164 pp., 2000.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>
RMNP: Backcountry/Wilderness Management Plan, USDI National Park Service,
RMNP Colorado, CO, USA, 75 pp., 2001.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>
RMNP: Employee and Volunteer Handbook, RMNP Colorado, CO, USA, 155 pp., 2013.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>
Scherrer, P. and Pickering, C. M.: Recovery of alpine herbfield on a closed
walking track in the Kosciuszko Alpine Zone, Australia, Arct. Antarct. Alp.
Res., 38, 239–248, 2006.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>
Selkimaki, M. and Mola-Yudego, B.: Estimating and modelling the resistance of
nature to path erosion in Koli National Park, Finland, Boreal Environ. Res.,
16, 218–228, 2011.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>
Sharratt, B. S., Voorhees, W. B., McKintosh, G., and Lemme, G.: Persistance
of soils structural modifications along a historic wagon trail, Soil Sci.
Soc. Am. J., 62, 774–777, 1998.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>
Summer, R. M.: Geomorphic impacts of horse traffic on montane landforms, J.
Soil Water Conserv., 41, 126–128, 1986.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>
Tomczyk, A. M. and Ewertowski, M.: Degradation of recreational trails, Gorce
National Park, Poland, Journal of Maps, 7, 507–518, 2011.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>
Tomczyk, A. M. and Ewertowski, M.: Quantifying short-term surface changes on
recreational trails: the use of topographic surveys and “Digital Elevation
Models of Differences” (DODs), Geomorphology, 183, 58–72, 2013.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>
Törn, A., Tolvanen, A., Norokorpi, Y., Tervo, R., and Siikamäki, P.:
Comparing the impacts of hiking, skiing and horse riding on trail and
vegetation in different types of forest, J. Environ. Manage., 90, 1427–1434,
2009.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>
Vistad, O. I.: Experience and management of recreational impact on the
ground–a study among visitors and managers, J. Nat. Conserv., 11, 363–369,
2003.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>
Washburn, R. F.: Wilderness recreation carrying capacity: are numbers
necessary?, J. Forest., 80, 726–728, 1982.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>
Willard, B. E. and Marr, J. W.: Effects of visitors on natural ecosystems in
ROM O, Final report on 1959–1963 study, unpublished, Institute of Arctic
Alpine Res, University of Colorado, Boulder, CO, USA, 1963.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><mixed-citation>
Wilson, J. P. and Seney, J. P.: Erosional impact of
hikers, horses, motorcycles, and off-road bicycles on mountain
trails in Montana, Mt. Res. Dev., 14, 77–88, 1994.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>
Wimpey, J. and Marion, J. L.: The Influence of use, environmental and
managerial factors on the width of recreational trails, J. Environ. Manage.,
91, 2028–2037, 2010.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>
Zdruli, P.: Land resources of the Mediterranean: status, pressures, trends
and impacts on future regional development, Land Degrad. Develop., 25,
373–384, 2014.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Trail impact monitoring in Rocky Mountain National Park, USA</article-title-html>
<abstract-html><p class="p">This paper examines impacts of increased visitation leading to human
trampling of vegetation and soil along several trails in Rocky Mountain
National Park (RMNP) to understand how abiotic factors and level of use can
influence trail conditions. RMNP is one of the most visited national parks
in the USA, with 3.3 million visitors in 2012 across 1075 km<sup>2</sup> and 571 km
of hiking trails. 95 % of the park is designated wilderness, making the
balance between preservation and visitor use challenging. This research
involves the application of trail condition assessments to 56 km of trails
to determine prevailing factors and what, if any, connection between them
exist. The study looked at a variety of inventory and impact indicators and
standards to determine their importance and to develop a baseline condition
of trails. The data can be used for future comparison and evaluation of
development trends. We found that trail widening (mean trail width 88.9 cm)
and soil loss (cross-sectional area 172.7 cm<sup>2</sup>) are the most visible
effects of trail degradation. Further statistical analyses of data
identified the role and influence of various factors (e.g., use level and
topography). Insights into the influence of these factors can lead to the
selection of appropriate management measures to avoid or minimize negative
consequences from increased visitation.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Aust, M. W., Marion, J. L., and Kyle, K.: Research for the Development
of Best Management Practices for Minimizing Horse Trail Impacts on the
Hoosier National Forest, Management Report, US Department of
Agriculture, US Forest Service, Bedford, IN, USA, 77 pp., 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Ballantyne, M. and Pickering, C. M.: Recreational trails as a source
of negative impacts on the persistence of keystone species and facilitation,
J. Environ. Manage., 159, 48–57, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Ballantyne, M., Gudes, O., and Pickering, C. M.: Recreational trails are an
important cause of fragmentation in endangered urban forests: a case-study
from Australia, Landscape Urban Plan., 130, 112–124, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Barros, A. and Pickering, C. M.: Impacts of experimental
trampling by hikers and pack animals on a high-altitude alpine sedge
meadow in the Andes, Plant Ecol. Divers., 8, 265–276, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Barros, A., Monz, C., and Pickering, C.: Is tourism damaging ecosystems
in the Andes? Current knowledge and an agenda for future research, Ambio, 44,
82–98, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Benninger-Truax, M., Vankat, J. L., and Schaefer, R. L.: Trail corridors as
habitat and conduits for movement of plant species in Rocky Mountain National
Park, Colorado, USA, Landscape Ecol., 6, 269–278, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Birchard, W. and Proudman, R. D.: Appalachian Trail
Design, Construction, and Maintenance, 2nd edition, Appalachian Trail
Conference, Harpers Ferry, WV, USA, 237 pp., 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Brevik, E. C. and Fenton, T. E.: Long-term effects of compaction on soil
properties along the Mormon Trail, South-Central Iowa, USA, Soil. Horiz.,
53, 37–42, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Bright, J. A.: Hiker impact on herbaceous vegetation along trails in an
evergreen woodland of Central Texas, Biol. Conserv., 36, 53–69, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Chrisfield, V. E., Macdonald, S. E., and Gould, A. J.: Effects of recreational
traffic on alpine plant communities in the northern Canadian Rockies, Arct.
Antarct. Alp. Res., 44, 277–287, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Cole, D. N.: Assessing and monitoring backcountry trail conditions,
Research Paper INT-303, US Department of
Agriculture, Forest Service, Intermountain Research Station, Ogden,
UT, USA, 10 pp., 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Cole, D. N.: Low-impact recreational practices for wilderness and
backcountry, General Technical Report INT-265, US Department of Agriculture, Forest Service, Intermountain Research
Station, Ogden, UT, USA, 131 pp., 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Deluca, T., Patterson Iv, W., Freimund, W. A., and Cole, D.: Influence of
llamas, horses, and hikers on soil erosion from established recreation trails
in western Montana, USA, Environ. Manage., 22, 255–262, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Dissmeyer, G. E. and Foster, G. R.: A guide for
predicting sheet and rill erosion on forestland, General Technical
Publication R8-TP 6, US Department of Agriculture, Forest Service,
Atlanta, GA, USA, 40 pp., 1984.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Dixon, G., Hawes, M., and McPherson, G.: Monitoring and modeling walking
track impacts in the Tasmanian wilderness World Heritage Area, Australia, J.
Environ. Manage., 71, 305–320, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Farrell, T. A. and Marion, J. L.: Trail impacts and trail impact management
related to visitation at Torres del Paine National Park, Chile, Leisure, 26,
31–59, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Godefroid, S. and Koedam, N.: The impacts of forest paths upon adjacent
vegetation: Effects of the path surfacing material on the species
composition and soil compaction, Biol. Conserv., 119, 405–419, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Gonzalez, P.: Climate Change Trends and Impacts for Planning at Rocky
Mountain National Park, National Park Service, Natural Resource Stewardship
and Science, Washington, DC, 7 pp., 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Hammitt, W. E., Cole, D. N., and Monz, C. A.: Wildland
recreation: ecology and management, Wiley, New York, USA, 328 pp., 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Hawes, M., Candy, S., and Dixon, G.: A method for surveying the condition of
extensive walking track systems, Landscape Urban Plan., 78, 275–287, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Hawes, M., Dixon, G., and Ling, R.: A GIS-based methodology for predicting
walking track stability, J. Environ. Manage., 115, 295–299, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Hesselbarth, W., Vachowski, B., and Davies, M. A.: Trail
construction and maintenance notebook, Tech. Rpt. 0723-2806-MTDC,
US Department of Agriculture Forest Service, Missoula Technology
and Development Center, Missoula, MT, USA, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Hill, W. and Pickering, C.: Vegetation associated with different walking
track types in the Kosciuszko alpine area, Australia, J. Environ. Manage.,
78, 24–34, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Hill, W. and Pickering, C.: Comparison of condition class, point sampling and
track problem assessment methods in assessing the condition of walking tracks
in New South Wales protected areas, CRC for Sustainable Tourism Pty Ltd., Queensland,
Australia, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Hooper, L.: National Park Service Trails Management Handbook, USD1
National Park Service, Denver Service Center, Denver, CO, USA, 53 pp., 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Ibáñez, J. J., Pérez-Gómez, R., Oyonarte, C., and Brevik, E.
C.: Are there arid land soilscapes in Southwestern Europe?, Land Degrad.
Develop., 26, 785–862, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
IMBA: Trail Solutions: IMBA's guide to building sweet singletrack, The
International Mountain Bike Association, Boulder, CO, USA, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation> IRMA: National Park Service Visitor Use Statistics,
Integrated Resource Management Applications,
<a href="https://irma.nps.gov/Stats/" target="_blank">https://irma.nps.gov/Stats/</a> (last access: 30 June 2015), 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Jewell, M. C. and Hammitt, W. E.: Assessing soil erosion
on trails: a comparison of techniques, in: Proceedings RMRS, Wilderness
Science in a Time of Change Conference, Volume 5: Wilderness
ecosystems, threats, and management, Missoula, Montana,
USA, 23–27 May 1999, United States Department of Agriculture,
Forest Service, Rocky Mountain Research Station, Ogden, UT, USA, 133–140, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Jubenville, A. and O'Sullivan, K.: Relationship of vegetation type and slope
gradient to trail erosion in interior Alaska, J. Soil Water Conserv., 42,
450–452, 1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
KellerLynn, K.: Impacts of path surfaces on surrounding vegetation,
Park Science, 24, p. 21, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Kim, S.-O. and Shelby, B.: Comparing onsite and offsite methods for measuring
norms for trail impacts, Environ. Manage., 37, 567–578, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Lance, A. N., Baugh, I. D., and Love, J. A.: Continued footpath widening in
the Cairngorm mountains, Scotland, Biol. Conserv.,  49, 201–214, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Leung, Y. F. and Marion, J. L.: Recreation impacts and
management in wilderness: a state of knowledge
review, in: Proceedings RMRS, Wilderness
Science in a Time of Change Conference, Volume 5: Wilderness
ecosystems, threats, and management, Missoula, Montana,
USA, 23–27 May 1999, United States Department of Agriculture,
Forest Service, Rocky Mountain Research Station, Ogden, UT, USA, 23–48, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Manning, R.: Studies in Outdoor Recreation. Search and research for
satisfaction, 2nd edition, Oregon State University Press, Corvallis,
OR, USA, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Marion, J. L. and Leung, Y. F.: Trail resource impacts and an examination
of alternative assessment techniques, Journal of Park and Recreation
Administration, 19, 17–37, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Marion, J. L., Wimpey, J., and Park, L.: Informal and
formal trail monitoring protocols and baseline conditions: Acadia
National Park, final report, US Geological Survey, Virginia Tech College of Natural Resources and Environment,
Blacksburg, VA, USA, 95 pp., 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
McCool, S. F. and Lime, D. W.: Tourism carrying capacity: tempting fantasy or useful reality?, J. Sustain. Tour., 9, 372–388, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Monti, P. W. and MacKintosh, E. E.: Effects of camping on surface soil
properties in the boreal forest region of Northwestern Ontario, Canada, Soil
Sci. Soc. Am. J., 43, 1024–1029, 1979.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Monz, C. A.: Recreation resource assessment and monitoring techniques
for mountain regions, in: Tourism and development in mountain regions,
edited by: Godde, P. M., Price, M., and Zimmermann, F. M., CABI Publishing, Oxon, UK, 47–68, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Monz, C. A., Pickering, C. M., and Hadwen, W. L.: Recent advances in
recreation ecology and the implications of different relationships between
recreation use and ecological impacts, Front. Ecol. Environ., 11, 441–446,
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Moore, R. L., Leung, Y.-F., Matisoff, C., Dorwart, C., and Parker, A.:
Understanding users' perceptions of trail resource impacts and how they
affect experiences: an integrated approach, Landscape Urban Plan., 107,
343–350, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Nadal-Romero, E., Revuelto, J., Errea, P., and López-Moreno, J. I.:
The application of terrestrial laser scanner and SfM photogrammetry in measuring
erosion and deposition processes in two opposite slopes in a humid badlands area
(central Spanish Pyrenees), SOIL, 1, 561–573, <a href="http://dx.doi.org/10.5194/soil-1-561-2015" target="_blank">doi:10.5194/soil-1-561-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Nepal, S.: Trail impacts in Sagarmatha (Mt. Everest) National Park, Nepal:
a logistic regression analysis, Environ. Manage., 32, 312–321, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Nepal, S. K. and Nepal, S. A.: Visitor impacts on trails in the Sagarmatha
(Mt. Everest) National Park, Nepal, Ambio, 33, 334–340, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
NPS: State of the Alpine Report for Rocky Mountain National Park Summary
Report, USDI National Park Service Fort Collins, Colorado, USA, 42 pp., 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Ólafsdóttir, R. and Runnström, M.: Assessing hiking trails
condition in two popular tourists' destination in the Icelandic highlands,
Journal of Outdoor Recreation and Tourism, 3–4, 57–67, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Olive, N. D. and Marion, J. L.: The influence of use-related, environmental
and managerial factors on soil loss from ecreational trails, J. Environ.
Manage., 90, 1483–1493, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Özcan, M., Gökbulak, F., and Hizal, A.: Exclosure effects on recovery
of selected soil properties in a mixed broadleaf forest recreation site, Land
Degrad. Dev., 24, 266–276, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Pettebone, D., Newman, P., and Theobald, D.: A comparison of sampling designs
for monitoring recreational trail impacts in Rocky Mountain National Park,
Environ. Manage., 43, 523–532, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Pickering, C. M. and Growcock, A. J.: Impacts of experimental trampling on
tall alpine herbfields and subalpine grasslands in the Australian Alps, J.
Environ. Manage., 91, 532–540, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Pickering, C. M., Hill, W., Newsome, D., and Leung, Y.-F.: Comparing hiking,
mountain biking and horse riding impacts on vegetation and soils in Australia
and the United States of America, J. Environ. Manage., 91, 551–562, 2010.

</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
RMNP: Trail System Maintenance and Reconstruction Plan 2000, an update to the
May 1982 Trail Plan, USDI National Park Service, RMNP Colorado, CO, USA,
164 pp., 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
RMNP: Backcountry/Wilderness Management Plan, USDI National Park Service,
RMNP Colorado, CO, USA, 75 pp., 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
RMNP: Employee and Volunteer Handbook, RMNP Colorado, CO, USA, 155 pp., 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Scherrer, P. and Pickering, C. M.: Recovery of alpine herbfield on a closed
walking track in the Kosciuszko Alpine Zone, Australia, Arct. Antarct. Alp.
Res., 38, 239–248, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Selkimaki, M. and Mola-Yudego, B.: Estimating and modelling the resistance of
nature to path erosion in Koli National Park, Finland, Boreal Environ. Res.,
16, 218–228, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Sharratt, B. S., Voorhees, W. B., McKintosh, G., and Lemme, G.: Persistance
of soils structural modifications along a historic wagon trail, Soil Sci.
Soc. Am. J., 62, 774–777, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Summer, R. M.: Geomorphic impacts of horse traffic on montane landforms, J.
Soil Water Conserv., 41, 126–128, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Tomczyk, A. M. and Ewertowski, M.: Degradation of recreational trails, Gorce
National Park, Poland, Journal of Maps, 7, 507–518, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Tomczyk, A. M. and Ewertowski, M.: Quantifying short-term surface changes on
recreational trails: the use of topographic surveys and “Digital Elevation
Models of Differences” (DODs), Geomorphology, 183, 58–72, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Törn, A., Tolvanen, A., Norokorpi, Y., Tervo, R., and Siikamäki, P.:
Comparing the impacts of hiking, skiing and horse riding on trail and
vegetation in different types of forest, J. Environ. Manage., 90, 1427–1434,
2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Vistad, O. I.: Experience and management of recreational impact on the
ground–a study among visitors and managers, J. Nat. Conserv., 11, 363–369,
2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Washburn, R. F.: Wilderness recreation carrying capacity: are numbers
necessary?, J. Forest., 80, 726–728, 1982.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Willard, B. E. and Marr, J. W.: Effects of visitors on natural ecosystems in
ROM O, Final report on 1959–1963 study, unpublished, Institute of Arctic
Alpine Res, University of Colorado, Boulder, CO, USA, 1963.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Wilson, J. P. and Seney, J. P.: Erosional impact of
hikers, horses, motorcycles, and off-road bicycles on mountain
trails in Montana, Mt. Res. Dev., 14, 77–88, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Wimpey, J. and Marion, J. L.: The Influence of use, environmental and
managerial factors on the width of recreational trails, J. Environ. Manage.,
91, 2028–2037, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Zdruli, P.: Land resources of the Mediterranean: status, pressures, trends
and impacts on future regional development, Land Degrad. Develop., 25,
373–384, 2014.
</mixed-citation></ref-html>--></article>
