Stair Wear Analysis Keywords
تم الإنشاء في: ٢٤ يناير ٢٠٢٥
تم الإنشاء في: ٢٤ يناير ٢٠٢٥
Stone is a symbol of steadfast permanence, and carved rock is used as a building material
because of its ability to resist wear. Despite its durability, even stone is not impervious to
wear. One of the few things more resilient is the persistence of people.
The stone and other materials used to create steps are subject to constant, long-term wear, and
the wear can be uneven. For example, extremely old temples and churches may have stairs in
which the center of the steps has been worn down more than their edges, and the treads no
longer have a level top but can appear to be bowed. Due to the nature of such structures, the
buildings tend to have been inhabited by people over a very long period, but the presence of
people at a particular site often predates the construction of buildings. This can make it
difficult to accurately determine the date a structure was constructed. The situation is further
complicated when construction on a structure occurs over a very long time, renovations have
been made, and new parts to the structure have been added over time.
Your team is asked to provide guidance on what information archaeologists can determine
from a set of worn stairs. The stairs may be constructed from various materials, for example
stone or wood. Also, an estimate of when a set of stairs was constructed may be available,
however, it may be difficult to get a precise time. It may not be clear from the historical
records which set of stairs in a structure was constructed in each time period.
In addition to age, an archaeologist may also be interested in determining the traffic patterns
associated with how a stairwell was used. For example, were people moving up as well as
down the stairs at the same time or was a predominant direction used at any given time? An
archaeologist may also want to determine how often the stair well was used. For example, did
a large number of people use it over a short period or did a few people use it over a very long
period?
Your team is asked to develop a model that can determine what basic conclusions can be
drawn given a set of stairs. Your model should provide some basic predictions given the
patterns of wear on a particular set of stairs:
• How often were the stairs used?
• Was a certain direction of travel favored by the people using the stairs?
• How many people used the stairs simultaneously? (For example, did pairs of people
climb the stairs side-by-side or did they travel single file?)
You can assume that an archaeologist has access to the structure in question and can obtain
whatever measurement your team believes is important. The measurements must be made in
a way that is non-destructive, the cost must be relatively low, and the measurements can be
taken by a small team of people with minimal tools. You should make clear what
measurements are required.
There are other questions that may be more difficult to address. Assuming an estimate of the
age exists, the way the stairwell was used, and an estimate on the daily patterns of life in the
structure are available, determine what guidance can be provided to the following questions:
• Is the wear consistent with the information available?
• What is the age of the stairwell and how reliable is the estimate?
• What repairs or renovations have been conducted?
• Can the source of the material be determined? For example, if stone is used is the
wear consistent with materials from a quarry the archaeologist believes is the original
source or if wood was used is the wear consistent with the age and type of trees that
are assumed to be used?
• What information can be determined with respect to the numbers of people using the
stairs in a typical day and were there large numbers of people using the stairs over a
short time or a small number of people over a longer time?
你是一名知名的考古学家和数据学家,现在你的团队致力于解决以上提到的问题,请你给出几个关键词供相关文献的搜索
以下是一些可能有助于检索相关文献的关键词,可用于围绕“台阶(或楼梯)的磨损及使用分析”这一主题展开研究。根据不同研究方向或技术手段,你可以选择其中部分或全部进行检索和组合:
在文献检索时,可以将上述关键词与具体的地名、时代(如“Roman temple steps”“ medieval church stairs”等)或特定的考古学技术、研究方法(如“X-ray fluorescence (XRF) analysis”)结合使用,以获取更具针对性的资料。
Juneau, Alaska, USA with a population of about 30,000 residents, set a record in 2023 with 1.6
million cruise passengers, hosting as many as seven large cruise ships on the busiest days, with
upwards of around 20,000 visitors.
[1] While these tourists bring in substantial revenue for the
city, on the order of $375 million,
[2] they also bring issues related to overcrowding that have the
city working to limit the number of guests. Ironically, Mendenhall Glacier, one of the premier
attractions in Juneau, has been receding, primarily due to warming temperatures caused, in part,
by overtourism. The glacier has receded the equivalent of eight football fields since 2007,
leading many locals to worry that the tourists and associated revenue will eventually disappear
with the glacier.
[3] Fortunately, Juneau has other attractions, including whale watching and rain
forests, and can maintain their status as a tourist destination, provided they can develop and enact
a plan for sustainable tourism.
Recent reports[4] have highlighted the hidden costs of tourism and the growing need to account
for and manage these costs to protect natural and cultural resources and build a sustainable
tourism industry on which numerous communities around the world depend. These hidden costs
include pressure on local infrastructure including drinking water supplies, waste management,
and an overall increased carbon footprint in tourist destinations, many of which lie in
environmentally sensitive regions. Local populations are also under pressure due to housing
supplies and costs, overcrowding, and rowdy tourists. Various measures have been enacted to
attempt to ease the burden, including increased hotel taxes, visitor fees, caps on the number of
daily visitors, and restrictions on alcohol sales and consumption. Additional revenue from taxes
have been used to support conservation, make improvements in infrastructure, and develop
community programs. While many locals that depend on tourism are concerned that additional
fees might drive tourists away and would rather see the numbers, and their businesses, grow,
many other locals are becoming disgruntled and either leaving or protesting against tourists.
• Build a model for a sustainable tourism industry in Juneau, Alaska. You may want to
consider factors such as the number of visitors, overall revenue, and measures enacted to
stabilize tourism. State clearly which factors you are optimizing, and which factors serve
as constraints. Include a plan for expenditures from any additional revenue and show how
these expenditures feed back into your model to promote sustainable tourism. Include a
sensitivity analysis and discuss which factors are most important.
假设你是一位资深数据科学家与数学家,请你思考:这在数学建模中是一个什么类型的问题(预测,评价,优化等)?你对这个可持续旅游业模型( a model for a sustainable tourism industry),有什么思考与思路?
以下内容将从数学建模与数据科学的角度,探讨在 Juneau(朱诺) 建立“可持续旅游业”模型的思路,以及该问题在数学建模中大致属于什么类型的问题。
在数学建模和数据科学的范畴中,针对可持续旅游的研究通常包含以下几种主要问题类型:
预测(Prediction / Forecasting):
评估(Evaluation / Assessment):
优化(Optimization / Planning):
综合而言,“可持续旅游”模型通常是一个多目标或多阶段的系统动态模型(system dynamics),同时包含预测、评估和优化三个层次。在模型的不同阶段,根据需求和数据可得性,可能采用不同的方法,但核心是通过对系统中各要素的相互作用建模,来寻找维持长久平衡(即“可持续”)的解。
下面给出一个可能的建模思路,概括了可持续旅游模型中需要考虑的因素与方法。
游客数量 (Tourist Arrival Rate)
经济指标 (Economic Metrics)
环境指标 (Environmental Metrics)
社会指标 (Social / Local Welfare Metrics)
政策与管理措施 (Policies / Management Measures)
系统动力学 (System Dynamics)
多目标优化 (Multi-objective Optimization)
预测分析 (Forecasting / Time Series Analysis)
情景分析 (Scenario Analysis) 与灵敏度分析 (Sensitivity Analysis)
在建立可持续模型时,还要特别考虑对额外收入(如旅游税)进行有效再投资的方式,使之能够反哺到系统中,比如:
基础设施投资
环境保护与教育
社区与社会项目
通过将这些再投资的要素纳入模型,可以在模拟中看到:如果增收一定的旅游税或限制游客数量,会带来怎样的短期经济损失,但在中长期却可能改善环境质量,提高游客对目的地的满意度,从而形成“良性循环”。
从数学建模和数据科学的角度来看,可持续旅游业通常是一个复杂的系统性问题,涵盖了预测、评估和多目标优化等层次,需要针对经济、环境和社会多个维度进行综合考量。常见的建模思路包括:
对于决策者和研究者而言,重点往往在于如何获取并管理合适的数据,以及如何根据模型结果制定现实可行的政策,以在保证经济收益的同时,最大限度地保护当地环境与文化,并维护社区长久的可持续发展。
Juneau, Alaska, USA with a population of about 30,000 residents, set a record in 2023 with 1.6
million cruise passengers, hosting as many as seven large cruise ships on the busiest days, with
upwards of around 20,000 visitors.
[1] While these tourists bring in substantial revenue for the
city, on the order of $375 million,
[2] they also bring issues related to overcrowding that have the
city working to limit the number of guests. Ironically, Mendenhall Glacier, one of the premier
attractions in Juneau, has been receding, primarily due to warming temperatures caused, in part,
by overtourism. The glacier has receded the equivalent of eight football fields since 2007,
leading many locals to worry that the tourists and associated revenue will eventually disappear
with the glacier.
[3] Fortunately, Juneau has other attractions, including whale watching and rain
forests, and can maintain their status as a tourist destination, provided they can develop and enact
a plan for sustainable tourism.
Recent reports[4] have highlighted the hidden costs of tourism and the growing need to account
for and manage these costs to protect natural and cultural resources and build a sustainable
tourism industry on which numerous communities around the world depend. These hidden costs
include pressure on local infrastructure including drinking water supplies, waste management,
and an overall increased carbon footprint in tourist destinations, many of which lie in
environmentally sensitive regions. Local populations are also under pressure due to housing
supplies and costs, overcrowding, and rowdy tourists. Various measures have been enacted to
attempt to ease the burden, including increased hotel taxes, visitor fees, caps on the number of
daily visitors, and restrictions on alcohol sales and consumption. Additional revenue from taxes
have been used to support conservation, make improvements in infrastructure, and develop
community programs. While many locals that depend on tourism are concerned that additional
fees might drive tourists away and would rather see the numbers, and their businesses, grow,
many other locals are becoming disgruntled and either leaving or protesting against tourists.
• Build a model for a sustainable tourism industry in Juneau, Alaska. You may want to
consider factors such as the number of visitors, overall revenue, and measures enacted to
stabilize tourism. State clearly which factors you are optimizing, and which factors serve
as constraints. Include a plan for expenditures from any additional revenue and show how
these expenditures feed back into your model to promote sustainable tourism. Include a
sensitivity analysis and discuss which factors are most important.
Demonstrate how your model could be adapted to another tourist destination impacted by
overtourism. How does the choice of location effect which measures will be most
important? How might you use your model to promote attractions and/or locations that
have fewer tourists to develop a better balance?
• Write a one-page memo to the tourist council of Juneau outlining your predictions, the
effects of various measures, and your advice on how to optimize outcomes.
现在你的团队致力于解决以上提到的问题,请你给出几个关键词供相关文献的搜索
以下是一些可用于检索“可持续旅游”“超量旅游”“旅游管理”等领域文献的关键词,涵盖了经济、环境、社会、政策及模型构建等角度。可根据需要将这些关键词与具体地域名称(如“Juneau, Alaska”)或技术方法结合使用,以获得更具针对性的研究资料。
在实际检索中,可以将上述关键词与具体需求或研究情境相结合(例如“overtourism + cruise ships”或“community-based sustainable tourism in Alaska”),或与各类研究方法(如“regression analysis”“agent-based modeling”“GIS mapping”等)综合,以获取更深入、精确的相关文献。
Introduction
Over the last year, both scholars and policymakers have recognized
the negative implications of tourism activities on both surrounding
environment (e.g. pollution, ecosystem degradation and overexploitation) and socio-economic background (e.g. damaging or loss of
local traditional cultures and networks) (Zhong et al., 2011). However,
on the reverse side, if proper planning and management practices are
implemented, tourism-related activities have a clear potential for either
boosting local economies and protecting their social and natural capital
(Sun et al., 2020). The economic relevance of tourism is clear in the
European context, where almost 10% of GDP and around 20 million jobs
can be attributed to this sector. Accordingly, European Commission has
recognized that tourism has largely contributed to boost growth,
generate new job opportunities and attract investments (European
Commission, 2006). Furthermore, tourism largely depends on the
attractiveness of tourist localities (Romao, 2020). Therefore, it is in the
interest of both tourism services providers and policymakers preserving
natural environment, social and cultural peculiarities and local wellbeing (Hollinshead, 1991). At tourist destinations, increasing the quality
of life of residents by maximizing the economic benefits, protecting
nature and providing visitors with high quality experiences is a main
goal for sustainable tourism activities. The Agenda for sustainable and
competitive European tourism recognizes the existence of a dual interaction between tourism and the protection of the distinctive social and
environmental local features: (i) the relevance of these issues is widely
recognized and their protection is directly supported; (ii) it becomes
economically advantageous for local agents to protect environmental
and socio-cultural heritage (European Commission, 2007). With these
premises, over the last decades, the idea of tourism as a powerful
channel to promote sustainability has rapidly spread across scholars and
policymakers (Yadav et al., 2018). Thus, the definition of sustainable
tourism deals with reconciling positive and long-term economic effects
with social equity and natural capital preservation (Swarbrooke, 1999).
请你概括这段文字讲了什么
这段文字主要讨论了旅游业的可持续性及其对环境、社会与经济可能造成的正面或负面影响,并指出要实现旅游业的可持续发展,需要在政策层面和实践层面进行科学规划与管理。作者首先指出,虽然旅游活动可能带来环境污染、生态破坏与社会文化冲击,但如果采取合理的规划与管理策略,也能在促进当地经济发展的同时保护自然与社会文化资源。文中提及了欧洲旅游业在 GDP 和就业方面的重要地位,以及如何将旅游业与联合国可持续发展目标(SDGs)相结合,以兼顾经济效益、社会公平和环境保护。
接着,作者强调了当前在支持可持续旅游投资决策方面所面临的挑战,并提到了新冠疫情对全球旅游业带来的巨大冲击,指出在疫情后可能需要更具针对性的政策来引导旅游业的重启与恢复。文章还指出,要实现旅游的可持续发展,需要在决策时平衡多方利益,并整合社会、环境、经济等多维度的指标。
最后,作者介绍了在旅游规划与管理中常用的两大类方法:多准则决策分析(MCDA)和多目标优化技术,并提出了自己的研究目标:即通过多目标优化模型来评估和选择可持续旅游相关的项目,以实现有限公共资源的最佳配置,并与传统的多准则决策方法(如加权和法、层次分析法)进行比较,从而为决策者提供更加综合且有效的决策支持工具。
什么是MCDA
**MCDA(Multi-Criteria Decision Analysis,多准则决策分析)**是一类用于在存在多个评价指标或目标的复杂情境下,为决策过程提供系统支持的方法与工具的统称。它的主要特点和作用包括:
多重指标或目标的综合评估
提供结构化决策流程
多种方法学工具
适用范围广
简而言之,MCDA 能够帮助决策者在同时面临多个需要平衡的目标时,更全面地识别和评估不同决策方案,进而为综合决策提供客观、系统且透明的依据。
请你概括这段文字讲了什么,对我们研究的问题有什么帮助
这段文字系统梳理了在旅游政策制定(tourism policymaking)过程中可采用的多种方法和工具,特别是多准则决策分析(MCDA)及其具体方法(例如 TOPSIS、ELECTRE、AHP、PROMETHEE 等),并指出它们如何在面对多利益相关者、多目标、多评价指标等复杂决策场景时提供支持。作者还提到第三类方法——多目标优化(multi-objective optimization),强调这类方法可以在约束条件下寻找“最佳折中解”以实现资源的合理配置,从而提升旅游规划的可持续性和有效性。总体而言,文章为旅游政策和项目评估提供了一个完整的工具框架,帮助决策者在兼顾社会、环境和经济目标的同时,进行更科学、更透明的决策。
提供决策工具参考
这段文字总结了 MCDA 及多目标优化方法的特点、适用场景和具体技术,实现了将社会、环境、经济等多重目标综合纳入决策过程,为研究者或政策制定者在旅游可持续发展方面选取恰当的决策方法提供了清晰思路。
明确多目标、多利益相关者特征
文中强调了旅游政策决策往往涉及多方利益和多重目标。对研究者而言,这提示我们在搭建模型或提出解决方案时,需要综合考虑多重评价指标以及不同群体的价值偏好。
可操作性与比较分析
文章讨论了不同 MCDA 方法(如 TOPSIS、ELECTRE、AHP 等)的差异,以及多目标优化方法与传统 MCDA 的比较思路,为后续研究或实务中对不同方法进行选择或比较提供了参考。
提升决策质量与可持续性
借助多准则分析与多目标优化,能在可持续旅游规划中更好地平衡经济收益、环境保护及社会利益,从而在研究和实践层面指导如何“最佳”或“最优”地配置有限资源,增强旅游业发展的可持续性和决策的科学性。
Juneau, Alaska, USA with a population of about 30,000 residents, set a record in 2023 with 1.6
million cruise passengers, hosting as many as seven large cruise ships on the busiest days, with
upwards of around 20,000 visitors.
[1] While these tourists bring in substantial revenue for the
city, on the order of $375 million,
[2] they also bring issues related to overcrowding that have the
city working to limit the number of guests. Ironically, Mendenhall Glacier, one of the premier
attractions in Juneau, has been receding, primarily due to warming temperatures caused, in part,
by overtourism. The glacier has receded the equivalent of eight football fields since 2007,
leading many locals to worry that the tourists and associated revenue will eventually disappear
with the glacier.
[3] Fortunately, Juneau has other attractions, including whale watching and rain
forests, and can maintain their status as a tourist destination, provided they can develop and enact
a plan for sustainable tourism.
Recent reports[4] have highlighted the hidden costs of tourism and the growing need to account
for and manage these costs to protect natural and cultural resources and build a sustainable
tourism industry on which numerous communities around the world depend. These hidden costs
include pressure on local infrastructure including drinking water supplies, waste management,
and an overall increased carbon footprint in tourist destinations, many of which lie in
environmentally sensitive regions. Local populations are also under pressure due to housing
supplies and costs, overcrowding, and rowdy tourists. Various measures have been enacted to
attempt to ease the burden, including increased hotel taxes, visitor fees, caps on the number of
daily visitors, and restrictions on alcohol sales and consumption. Additional revenue from taxes
have been used to support conservation, make improvements in infrastructure, and develop
community programs. While many locals that depend on tourism are concerned that additional
fees might drive tourists away and would rather see the numbers, and their businesses, grow,
many other locals are becoming disgruntled and either leaving or protesting against tourists.
• Build a model for a sustainable tourism industry in Juneau, Alaska. You may want to
consider factors such as the number of visitors, overall revenue, and measures enacted to
stabilize tourism. State clearly which factors you are optimizing, and which factors serve
as constraints. Include a plan for expenditures from any additional revenue and show how
these expenditures feed back into your model to promote sustainable tourism. Include a
sensitivity analysis and discuss which factors are most important.
Demonstrate how your model could be adapted to another tourist destination impacted by
overtourism. How does the choice of location effect which measures will be most
important? How might you use your model to promote attractions and/or locations that
have fewer tourists to develop a better balance?
• Write a one-page memo to the tourist council of Juneau outlining your predictions, the
effects of various measures, and your advice on how to optimize outcomes.
你是一名资深分析师与可持续旅游规划师,请你分析这篇文献对以上问题的解决有何帮助,并给出具体公式与方法
这篇文献提供了以下关键帮助和方法,可以用来解决Juneau可持续旅游的建模问题:
问题建模的框架: 文献明确提出了一个基于**多目标优化(Multi-Objective Optimization, MOO)**的决策支持系统(DSS),该模型可以综合环境、经济和社会目标,通过设定约束条件和目标函数,寻找可行的最优或折中方案。这非常适合用于解决Juneau旅游管理中的复杂问题,包括资源分配、环境保护和社会效益平衡。
多维度指标体系: 文献中定义了一套涵盖环境、社会和经济可持续性的评估指标体系(如能源管理、水资源利用、废物处理、当地就业率等)。这套体系可以直接参考并调整,用于评估Juneau的旅游项目对环境、社会和经济的综合影响。
多目标优化的公式和方法:
目标函数可以设为:
其中:
约束条件:
场景分析: 文献展示了通过优化模型创建不同情景(如以总分最大化为目标 vs. 环境分数最大化为目标)的方法,并比较了它们的结果。每种情景都可以根据政策目标调整,例如,Juneau可以设定更多资金分配到冰川保护或社区支持项目中。
比较传统方法的局限性: 文献中指出了传统多准则决策方法(如加权和法、AHP)在预算约束下的不足,并强调多目标优化技术如何在资源分配和可持续性目标的平衡中表现更优。这为Juneau项目选择提供了理论依据和技术工具。
目标函数:
约束条件:
场景分析:
灵敏度分析:
这篇文献提供的多目标优化模型和评估框架,可以有效用于Juneau的可持续旅游规划。通过定义明确的目标函数和约束条件,以及进行场景和灵敏度分析,可以为政策制定者提供科学依据,平衡经济收益与生态保护需求,同时优化资源分配。