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Research papers, University of Canterbury Library

In this article we utilize grounded theory to explore women’s experiences in the unique construction industry context that followed the 2010 Canterbury (New Zealand) earthquakes. Data were obtained from 36 semi-structured interviews conducted with women working in a variety of occupations in the construction industry. We identify three inter-related categories: capitalizing on opportunity, demonstrating capability and surface tolerance, which together represent a response process that we label ‘deferential tailoring’. The deferential tailoring process explains how women intentionally shape their response to industry conditions through self-regulating behaviors that enables them to successfully seize opportunities and manage gender-related challenges in the working environment. Our findings challenge existing research which suggests that women adopt submissive coping strategies to conform to androcentric norms in the construction industry. Instead, we argue that the process of deferential tailoring can empower women to build positive workplace relationships, enhance career development, and help shift perceptions of the value of their work in the industry.

Research papers, University of Canterbury Library

In 2016, the Building (Earthquake-prone Buildings) Amendment Act 2016 was introduced to address the issue of seismic vulnerability amongst existing buildings in Aotearoa New Zealand. This Act introduced a mandatory scheme to remediate buildings deemed particularly vulnerable to seismic hazard, as recommended by the 2012 Royal Commission into the Canterbury earthquake sequence of 2010–2011. This Earthquake-prone Building (EPB) framework is unusual internationally for the mandatory obligations that it introduces. This article explores and critiques the operation of the scheme in practice through an examination of its implementation provisions and the experiences of more recent seismic events (confirmed by engineering research). This analysis leads to the conclusion that the operation of the current scheme and particularly the application of the concept of EPB vulnerability excludes large numbers of (primarily urban) buildings which pose a significant risk in the event of a significant (but expected) seismic event. As a result, the EPB scheme fails to achieve its goals and instead may create a false impression that it does so

Research papers, University of Canterbury Library

Recent surface-rupturing earthquakes in New Zealand have highlighted significant exposure and vulnerability of the road network to fault displacement. Understanding fault displacement hazard and its impact on roads is crucial for mitigating risks and enhancing resilience. There is a need for regional-scale assessments of fault displacement to identify vulnerable areas within the road network for the purposes of planning and prioritising site-specific investigations. This thesis employs updated analysis of data from three historical surface-rupturing earthquakes (Edgecumbe 1987, Darfield 2010, and Kaikoūra 2016) to develop an empirical model that addresses the gap in regional fault displacement hazard analysis. The findings contribute to understanding of • How to use seismic hazard model inputs for regional fault displacement hazard analysis • How faulting type and sediment cover affects the magnitude and spatial distribution of fault displacement • How the distribution of displacement and regional fault displacement hazard is impacted by secondary faulting • The inherent uncertainties and limitations associated with employing an empirical approach at a regional scale • Which sections of New Zealand’s roading network are most susceptible to fault displacement hazard and warrant site-specific investigations • Which regions should prioritise updating emergency management plans to account for post-event disruptions to roading. I used displacement data from the aforementioned historical ruptures to generate displacement versus distance-to-fault curves for various displacement components, fault types, and geological characteristics. Using those relationships and established relationships for along-strike displacement, displacement contours were generated surrounding active faults within the NZ Community Fault Model. Next, I calculated a new measure of 1D strain along roads as well as relative hazard, which integrated 1D strain and normalised slip rate data. Summing these values at the regional level identified areas of heightened relative hazard across New Zealand, and permits an assessment of the susceptibility of road networks using geomorphon land classes as proxies for vulnerability. The results reveal that fault-parallel displacements tend to localise near the fault plane, while vertical and fault-perpendicular displacements sustain over extended distances. Notably, no significant disparities were observed in off-fault displacement between the hanging wall and footwall sides of the fault, or among different surface geology types, potentially attributed to dataset biases. The presence of secondary faulting in the dataset contributes to increased levels of tectonic displacement farther from the fault, highlighting its significance in hazard assessments. Furthermore, fault displacement contours delineate broader zones around dip-slip faults compared to strike-slip faults, with correlations identified between fault length and displacement width. Road ‘strain’ values are higher around dip-slip faults, with notable examples observed in the Westland and Buller Districts. As expected, relative hazard analysis revealed elevated values along faults with high slip rates, notably along the Alpine Fault. A regional-scale analysis of hazard and exposure reveals heightened relative hazard in specific regions, including Wellington, Southern Hawke’s Bay, Central Bay of Plenty, Central West Coast, inland Canterbury, and the Wairau Valley of Marlborough. Notably, the Central West Coast exhibits the highest summed relative hazard value, attributed to the fast-slipping Alpine Fault. The South Island generally experiences greater relative hazard due to larger and faster-slipping faults compared to the North Island, despite having fewer roads. Central regions of New Zealand face heightened risk compared to Southern or Northern regions. Critical road links intersecting high-slipping faults, such as State Highways 6, 73, 1, and 2, necessitate prioritisation for site-specific assessments, emergency management planning and targeted mitigation strategies. Roads intersecting with the Alpine Fault are prone to large parallel displacements, requiring post-quake repair efforts. Mitigation strategies include future road avoidance of nearby faults, modification of road fill and surface material, and acknowledgement of inherent risk, leading to prioritised repair efforts of critical roads post-quake. Implementing these strategies enhances emergency response efforts by improving accessibility to isolated regions following a major surface-rupturing event, facilitating faster supply delivery and evacuation assistance. This thesis contributes to the advancement of understanding fault displacement hazard by introducing a novel regional, empirical approach. The methods and findings highlight the importance of further developing such analyses and extending them to other critical infrastructure types exposed to fault displacement hazard in New Zealand. Enhancing our comprehension of the risks associated with fault displacement hazard offers valuable insights into various mitigation strategies for roading infrastructure and informs emergency response planning, thereby enhancing both national and global infrastructure resilience against geological hazards.

Research papers, The University of Auckland Library

The seismic performance of soil profiles with potentially liquefiable deposits is a complex phenomenon that requires a thorough understanding of the soil properties and ground motion characteristics. The limitations of simplified liquefaction assessment methods have prompted an increase in the use of non-linear dynamic analysis methods. Focusing on onedimensional site response of a soil column, this thesis validated a soil constitutive model using in-situ pore pressure measurements and then assessed the influence of input ground motion characteristics on soil column response using traditional and newly developed metrics. Pore pressure recordings during the Canterbury Earthquake Sequence (CES) in New Zealand were used to validate the PM4Sand constitutive model. Soil profile characterization was key to accurate prediction of excess pore pressure response and accounting for any densification during the CES. Response during multiple earthquakes was captured effectively and cross-layer interaction demonstrated the model capability to capture soil response at the system-level. Synthetic and observed ground motions from the Christchurch earthquake were applied to the validated soil column to quantify the performance of synthetic motions. New metrics were developed to facilitate a robust comparison to assess performance. The synthetic input motions demonstrated a slightly larger acceleration and excess pore pressure response compared to the observed input motions. The results suggest that the synthetic motions may accumulate higher excess pore pressure at a faster rate and with fewer number of cycles in the shear response. This research compares validated soil profile subject to spectrally-matched pulse and non-pulse motions, emphasizing the inclusion of pulse motions with distinctive characteristics in ground motion suites for non-linear dynamic analysis. However, spectral matching may lead to undesired alterations in pulse characteristics. Cumulative absolute velocity and significant duration significantly differed between these two groups compared to the other key characteristics and contributed considerably to the liquefaction response. Unlike the non-pulse motions, not all of the pulse motions triggered liquefaction, likely due to their shorter significant duration. Non-pulse motions developed a greater spatial extent of liquefaction triggering in the soil profile and extended to a greater depth.

Research papers, The University of Auckland Library

The seismic tremor that shook Christchurch on February 22, 2011, not only shattered buildings but also the spirit of the city’s residents. Amidst the ruins, this design-focused thesis unravels two intertwining narratives, each essential to the city’s resurrection. At its core, this thesis probes the preservation of Christchurch’s memory and character, meticulously chronicling the lost heritage architecture and the subsequent urban metamorphosis. Beyond bricks and mortar, it also confronts the silent aftershocks - the pervasive mental health challenges stemming from personal losses and the disfigured cityscape. As a native of Christchurch, intimately connected to its fabric, my lens reflects not just on the architectural reconstruction but also on the emotional reconstruction. My experience as an autistic individual, a recently discovered facet of my identity, infuses this design journey with a distinct prism through which I perceive and interact with the world. The colourful sketches that drive the design process aren’t mere illustrations but manifestations of my interpretation of spaces and concepts, evoking joy and vitality—a testament to embracing diversity in design. Drawing parallels between healing my own traumas with my colourful and joyful neurodivergent worldview, I’ve woven this concept into proposals aimed at healing the city through whimsy, joy, and vibrant colours. Personal experiences during and post-earthquakes profoundly shape my design proposals. Having navigated the labyrinth of my own mental health amid the altered cityscape, I seek avenues for reconciliation, both personal and communal. The vibrant sketches and designs presented in this thesis encapsulate this vision—a fusion of vivid, unconventional interpretations and a dedication to preserving the essence of the original cityscape while still encouraging movement into the future.

Research papers, Victoria University of Wellington

This paper begins with a discussion of the history of negligent manslaughter in New Zealand and its development from the standard of ordinary negligence to the current test of a “major departure” from the expected standard of care, as set out under s 150A of the Crimes Act 1961. The paper then examines failings in s 150A’s current application, arguing that the “major departure” test has created injustices due to its strictly objective nature. Two examples of this are discussed in-depth, Bawa-Garba v R (UK) where a doctor was convicted of grossly negligent manslaughter for the death of her patient; and the decision not to prosecute the negligent engineers of the CTV building which collapsed in the Christchurch earthquake of 2011. The paper discusses three potential resolutions moving forward. It concludes that a more subjective interpretation of the wording of s 150A, which takes account of circumstances excusing or condemning a defendant’s conduct, would prevent future injustices and be a reasonably open interpretation on the wording of s 150A.

Research papers, University of Canterbury Library

This dissertation addresses a diverse range of applied aspects in ground motion simulation validation via the response of complex structures. In particular, the following topics are addressed: (i) the investigation of similarity between recorded and simulated ground motions using code-based 3D irregular structural response analysis, (ii) the development of a framework for ground motion simulations validation to identify the cause of differences between paired observed and simulated dataset, and (iii) the illustration of the process of using simulations for seismic performance-based assessment. The application of simulated ground motions is evaluated for utilisation in engineering practice by considering responses of 3D irregular structures. Validation is performed in a code-based context when the NZS1170.5 (NZS1170.5:2004, 2004) provisions are followed for response history analysis. Two real buildings designed by engineers and physically constructed in Christchurch before the 2010-2011 Canterbury earthquake sequence are considered. The responses are compared when the buildings are subjected to 40 scaled recorded and their subsequent simulated ground motions selected from 22 February 2011 Christchurch. The similarity of recorded and simulated responses is examined using statistical methods such as bootstrapping and hypothesis testing to determine whether the differences are statistically significant. The findings demonstrate the applicability of simulated ground motion when the code-based approach is followed in response history analysis. A conceptual framework is developed to link the differences between the structural response subjected to simulated and recorded ground motions to the differences in their corresponding intensity measures. This framework allows the variability to be partitioned into the proportion that can be “explained” by the differences in ground motion intensity measures and the remaining “unexplained” variability that can be attributed to different complexities such as dynamic phasing of multi-mode response, nonlinearity, and torsion. The application of this framework is examined through a hierarchy of structures reflecting a range of complexity from single-degree-of-freedom to 3D multi-degree-of-freedom systems with different materials, dynamic properties, and structural systems. The study results suggest the areas that ground motion simulation should focus on to improve simulations by prioritising the ground motion intensity measures that most clearly account for the discrepancies in simple to complex structural responses. Three approaches are presented to consider recorded or simulated ground motions within the seismic performance-based assessment framework. Considering the applications of ground motions in hazard and response history analyses, different pathways in utilising ground motions in both areas are explored. Recorded ground motions are drawn from a global database (i.e., NGA-West2 Ancheta et al., 2014). The NZ CyberShake dataset is used to obtain simulations. Advanced ground motion selection techniques (i.e., generalized conditional intensity measure, GCIM) are used for ground motion selection at a few intensity levels. The comparison is performed by investigating the response of an example structure (i.e., 12-storey reinforced concrete special moment frame) located in South Island, NZ. Results are compared and contrasted in terms of hazard, groundmotion selection, structural responses, demand hazard, and collapse risk, then, the probable reasons for differences are discussed. The findings from this study highlight the present opportunities and shortcomings in using simulations in risk assessment. i

Research papers, University of Canterbury Library

It is not a matter of if a major earthquake will happen in New Zealand, it is when. Earthquakes wreak havoc, cut off power and water supply, lines of communication, sewer, supply chains, and transport infrastructure. People get injured and whole communities can get cut off the rest of the country for extended periods of time. Countries taking measures to increase the population's preparedness tend to suffer less severe consequences than those that do not. Disaster management authorities deliver comprehensive instructions and preparation guidance, yet communities remain grossly underprepared. There are multiple factors that influence motivation for preparedness. Personal experience is one of the most significant factors that influence preparedness motivation. Not many people will experience a severe and damaging earthquake in their lifetime. A serious game (SG) that is a computer simulation of an earthquake is a tool that can let participants experience the earthquake and its aftermath from the safety of their computer. The main result of this research is a positive answer to the question: Can a serious game motivate people to prepare for earthquakes at least just as good as a personal experience of at least a moderate earthquake? There are different levels of immersion this serious game can be implemented at. In this thesis the same earthquake experience scenario – SG “ShakeUp” is implemented as a desktop application and a virtual reality (VR) application. A user study is conducted with the aim of comparing the motivation level achieved by the two versions of the SG “ShakeUp”. In this study no benefits of using VR over traditional desktop application were found: participants trying both versions of the SG “ShakeUp” reported similar levels of motivation to prepare for earthquakes immediately after the experiment. This means that both versions of the experience were equally effective in motivating participants to prepare for earthquakes. An additional benefit of this result is that the cheaper and easier to deliver desktop version can be widely used in various education campaigns. Participants reported being more motivated to prepare for earthquakes by either version of the SG “ShakeUp” than by any other contributing factor, including their previous earthquake experience or participation in a public education campaign. Both versions of the SG “ShakeUp” can successfully overcome personal bias, unrealistic optimism, pessimism, lack of perceived control over one’s earthquake preparation actions, fatalism, and sense of helplessness in the face of the earthquakes and motivate the individual to prepare for earthquakes. Participants without the prior earthquake experience benefit most from the SG “ShakeUp” regardless of the version tried, compared to the participants who had experienced an earthquake: significantly more of them will reconsider their current level of earthquake preparedness; about 24% more of them attribute their increased level of motivation to prepare for earthquakes to the SG “ShakeUp”. For every earthquake preparation action there is about 25% more people who felt motivated to do it after trying the SG “ShakeUp” than those who have done this preparation action before the experiment. After trying either version of the SG “ShakeUp”, people who live in a free standing house and those who live in a rental property reported highest levels of intent to carry on with the preparation actions. The proposed application prototype has been discussed with the University of Canterbury Earthquake Centre and received very positive feedback as having potential for practical use by various disaster management authorities and training institutions. The research shows that the SG “ShakeUp” motivates people to prepare for earthquakes as good as a personal earthquake experience and can be successfully used in various education campaigns.

Research papers, Victoria University of Wellington

© 2018 The Authors. Published by Elsevier Ltd. Governance is understood to have considerable influence on the success of recoveries following a natural disaster. What constitutes good governance and successful recovery in these circumstances? This question is discussed in relation to two recent recovery processes. Sri Lanka has, for all intents and purposes, recovered from the tsunami that struck there and other parts of southern Asia in 2004. Christchurch, New Zealand was devastated by a sequence of earthquakes during 2010 and 2011 and recovery there is now well under way. The paper discusses the governance structures that have guided these two recoveries. While it is understood that the effects of disasters could potentially be life long and recovery from them complex, compatibility of the process and outcomes in relation to cultural norms and the critical issue of housing are the key issues discussed across the two cases.

Research papers, Victoria University of Wellington

©2019. American Geophysical Union. All Rights Reserved. Earthquakes have been inferred to induce hydrological changes in aquifers on the basis of either changes to well water-levels or tidal behavior, but the relationship between these changes remains unclear. Here, changes in tidal behavior and water-levels are quantified using a hydrological network monitoring gravel aquifers in Canterbury, New Zealand, in response to nine earthquakes (of magnitudes M w 5.4 to 7.8) that occurred between 2008 and 2015. Of the 161 wells analyzed, only 35 contain water-level fluctuations associated with “Earth + Ocean” (7) or “Ocean” (28) tides. Permeability reduction manifest as changes in tidal behavior and increased water-levels in the near field of the Canterbury earthquake sequence of 2010–2011 support the hypothesis of shear-induced consolidation. However, tidal behavior and water-level changes rarely occurred simultaneously (~2%). Water-level changes that occurred with no change in tidal behavior reequilibrated at a new postseismic level more quickly (on timescales of ~50 min) than when a change in tidal behavior occurred (~240 min to 10 days). Water-level changes were more than likely to occur above a peak dynamic stress of ~50 kPa and were more than likely to not occur below ~10 kPa. The minimum peak dynamic stress required for a tidal behavior change to occur was ~0.2 to 100 kPa.

Research papers, Victoria University of Wellington

Measurement of basement seismic resonance frequencies can elucidate shallow velocity structure, an important factor in earthquake hazard estimation. Ambient noise cross correlation, which is well-suited to studying shallow earth structure, is commonly used to analyze fundamental-mode Rayleigh waves and, increasingly, Love waves. Here we show via multicomponent ambient noise cross correlation that the basement resonance frequency in the Canterbury region of New Zealand can be straightforwardly determined based on the horizontal to vertical amplitude ratio (H/V ratio) of the first higher-mode Rayleigh waves. At periods of 1-3 s, the first higher-mode is evident on the radial-radial cross-correlation functions but almost absent in the vertical-vertical cross-correlation functions, implying longitudinal motion and a high H/V ratio. A one-dimensional regional velocity model incorporating a ~ 1.5 km-thick sedimentary layer fits both the observed H/V ratio and Rayleigh wave group velocity. Similar analysis may enable resonance characteristics of other sedimentary basins to be determined. © 2013. American Geophysical Union. All Rights Reserved.

Research papers, Victoria University of Wellington

PurposeThe purpose of this research is to highlight the role of not-for-profit (NFP) organisations in enhancing disaster preparedness. The authors set out to understand their perspectives and practices in regard to disaster preparedness activities to support people who live precarious lives, especially those who live as single parents who are the least prepared for disasters.Design/methodology/approachThe research draws on in-depth, semi-structured interviews with 12 staff members, either in a group setting or individually, from seven NFP organisations, who were located in Ōtautahi (Christchurch) and Kaiapoi in Aotearoa New Zealand. These participants were interviewed eight years after the 2011 Christchurch earthquake.FindingsFour key narrative tropes or elements were drawn from across the interviews and were used to structure the research results. These included: “essential” support services for people living precarious lives; assisting people to be prepared; potential to support preparedness with the right materials and relationships; resourcing to supply emergency goods.Originality/valueThis research contributes to disaster risk reduction practices by advocating for ongoing resourcing of NFP groups due to their ability to build a sense of community and trust while working with precarious communities, such as single parents.

Research papers, Victoria University of Wellington

We examine the role of business interruption (BI) insurance in business recovery following the Christchurch earthquake in 2011. First, we ask whether BI insurance increases the likelihood of business survival in the immediate (3-6 months) aftermath of a disaster. We find positive but statistically insignificant evidence that those firms that had incurred damage, but were covered by BI insurance, had higher likelihood of survival post-quake compared with those firms that did not have any insurance. For the medium-term (2-3 years) survival of firms, our results show a more explicit role for insurance. Firms with BI insurance experience increased productivity and improved performance following a catastrophe. Furthermore, we find that those organisations that receive prompt and full payments of their claims have a better recovery than those that had protracted or inadequate claims payments, but this difference between the two groups is not statistically significant. We find no statistically significant evidence that the latter group (inadequate payment) did any better than those organisations that had damage but no insurance coverage. In general, our analysis indicates the importance not only of adequate insurance coverage, but also of an insurance system that delivers prompt claim payments. This is a post-peer-review, pre-copyedit version of an article published in 'The Geneva Papers on Risk and Insurance - Issues and Practice'. The final authenticated version is available online at: https://doi.org/10.1057/s41288-017-0067-y. The following terms of use apply: https://www.springer.com/gp/open-access/publication-policies/aam-terms-of-use.

Research papers, Victoria University of Wellington

The standard way in which disaster damages are measured involves examining separately the number of fatalities, of injuries, of people otherwise affected, and the financial damage that natural disasters cause. Here, we implement a novel way to aggregate these separate measures of disaster impact and apply it to two catastrophic events from 2011: the Christchurch (New Zealand) earthquakes and the Greater Bangkok (Thailand) flood. This new measure, which is similar to the World Health Organization's calculation of Disability Adjusted Life Years (DALYs) lost due to the burden of diseases and injuries, is described in detail in Noy [7]. It allows us to conclude that New Zealand lost 180 thousand lifeyears as a result of the 2011 events, and Thailand lost 2644 thousand lifeyears. In per capita terms, the loss is similar, with both countries losing about 15 days per person due to the 2011 catastrophic events in these two countries. © This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

Research papers, Victoria University of Wellington

We aim to investigate the role of insurance in business recovery following the devastating Christchurch earthquake in February, 22nd, 2011. We analyze data from two business surveys conducted after the earthquake to examine how insurance affected business operation in the aftermath of the earthquake both in the short-term and longer-term. For the short-term analysis, we use a combination of propensity score matching (PSM) and linear probability model (LPM) to analyze the data. We first estimate the propensity scores for insurance take-up of each firm conditional on the firm’s individual characteristics. Stratification based on the estimated propensity scores is used to match the treated (insured) and the control (uninsured) firms. We then estimate the probability of firms’ continuing operations with a set of control variables to account for the level of damage and disruption caused by the quake in each stratum. We find little evidence of any beneficial effect of insurance coverage on business continuity in the short-run. For the longer-term analysis, we analyze the available survey data using logistic regression. The result suggests that business interruption insurance significantly promotes increased level of long-term productivity for surviving firms following the earthquake.

Research papers, Victoria University of Wellington

At the conclusion of the 2010 and 2011 Canterbury earthquakes more than 5100 homes had been deemed unsafe for habitation. The land and buildings of these were labelled “red zoned” and are too badly damaged for remediation. These homes have been demolished or are destined for demolition. To assist the red zone population to relocate, central government have offered to ‘buy out’ home owners at the Governmental Value (GV) that was last reviewed in 2007. While generous in the economic context at the time, the area affected was the lowest value land and housing in Christchurch and so there is a capital shortfall between the 2007 property value and the cost of relocating to more expensive properties. This shortfall is made worse by increasing present day values since the earthquakes. Red zone residents have had to relocate to the far North and Western extremities of Christchurch, and some chose to move even further to neighbouring towns or cities. The eastern areas and commercial centres close to the red zone are affected as well. They have lost critical mass which has negatively impacted businesses in the catchments of the Red Zone. This thesis aims to repopulate the suburbs most affected by the abandonment of the red zone houses.  Because of the relative scarcity of sound building sites in the East and to introduce affordability to these houses, an alternative method of development is required than the existing low density suburban model. Smart medium density design will be tested as an affordable and appropriate means of living. Existing knowledge in this field will be reviewed, an analysis of what East Christchurch’s key characteristics are will occur, and an examination of built works and site investigations will also be conducted.  The research finds that at housing densities of 40 units per hectare, the spatial, vehicle, aesthetic needs of East Christchurch can be accommodated. Centralising development is also found to offer better lifestyle choices than the isolated suburbs at the edges of Christchurch, to be more efficient using existing infrastructure, and to place less reliance on cars. Stronger communities are formed from the outset and for a full range of demographics.  Eastern affordable housing options are realised and Christchurch’s ever expanding suburban tendencies are addressed. East Christchurch presently displays a gaping scar of devastated houses that ‘The New Eastside’ provides a bandage and a cure for. Displaced and dispossessed Christchurch residents can be re-housed within a new heart for East Christchurch.

Research papers, Victoria University of Wellington

On the 22nd of February, 2011 the city of Christchurch, New Zealand was crippled by a colossal earthquake. 185 people were killed, thousands injured and what remained was a city left in destruction and ruin. Thousands of Christchurch properties and buildings were left damaged beyond repair and the rich historical architecture of the Canterbury region had suffered irreparably.  This research will conduct an investigation into whether the use of mixed reality can aid in liberating Christchurch’s rich architectural heritage when applied to the context of destructed buildings within Christchurch.  The aim of this thesis is to formulate a narrative around the embodiment of mixed reality when subjected to the fragmentary historical architecture of Christchurch. Mixed reality will aspire to act as the defining ligature that holds the past, present and future of Christchurch’s architectural heritage intact as if it is all part of the same continuum.  This thesis will focus on the design of a memorial museum within a heavily damaged historical trust registered building due to the Christchurch earthquake. It is important and relevant to conceive the idea of such a design as history is what makes everything we know. The memories of the past, the being of the now and the projection of the future is the basis and fundamental imperative in honouring the city and people of Christchurch. Using the technologies of Mixed Reality and the realm of its counter parts the memorial museum will be a definitive proposition of desire in providing a psychological and physical understanding towards a better Christchurch, for the people of Christchurch.  This thesis serves to explore the renovation possibilities of the Canterbury provincial council building in its destructed state to produce a memorial museum for the Christchurch earthquake. The design seeks to mummify the building in its raw state that sets and develops the narrative through the spaces. The design intervention is kept at a required minimum and in doing so manifests a concentrated eloquence to the derelict space. The interior architecture unlocks the expression of history and time encompassed within a destructive and industrialised architectural dialogue. History is the inhabitant of the building, and using the physical and virtual worlds it can be set free.  This thesis informs a design for a museum in central Christchurch that celebrates and informs the public on past, present and future heritage aspects of Christchurch city. Using mixed reality technologies the spatial layout inside will be a direct effect of the mixed reality used and the exploration of the physical and digital heritage aspects of Christchurch. The use of technology in today’s world is so prevalent that incorporating it into a memorial museum for Christchurch would not only be interesting and exploratory but also offer a sense of pushing forward and striving beyond for a newer, fresher Christchurch. The memorial museum will showcase a range of different exhibitions that formulate around the devastating Christchurch earthquake. Using mixed reality technologies these exhibitions will dictate the spaces inside dependant on their various applications of mixed reality as a technology for architecture. Research will include; what the people of Canterbury are most dear to in regards to Christchurch’s historical environment; the use of mixed reality to visualise digital heritage, and the combination of the physical and digital to serve as an architectural mediation between what was, what is and what there could be.

Research papers, Victoria University of Wellington

“One of the most basic and fundamental questions in urban master planning and building regulations is ‘how to secure common access to sun, light and fresh air?” (Stromann-Andersen & Sattrup, 2011).  Daylighting and natural ventilation can have significant benefits in office buildings. Both of these ‘passive’ strategies have been found to reduce artificial lighting and air-conditioning energy consumption by as much as 80% (Ministry for the Environment, 2008); (Brager, et al., 2007). Access to daylight and fresh air can also be credited with improved occupant comfort and health, which can lead to a reduction of employee absenteeism and an increase of productivity (Sustainability Victoria, 2008).  In the rebuild of Christchurch central city, following the earthquakes of 2010 and 2011, Cantabrians have expressed a desire for a low-rise, sustainable city, with open spaces and high performance buildings (Christchurch City Council, 2011). With over 80% of the central city being demolished, a unique opportunity to readdress urban form and create a city that provides all buildings with access to daylight and fresh air exists.  But a major barrier to wide-spread adoption of passive buildings in New Zealand is their dependence on void space to deliver daylight and fresh air – void space which could otherwise be valuable built floor space. Currently, urban planning regulations in Christchurch prioritize density, allowing and even encouraging low performance compact buildings.  Considering this issue of density, this thesis aimed to determine which urban form and building design changes would have the greatest effect on building performance in Central City Christchurch.  The research proposed and parametrically tested modifications of the current compact urban form model, as well as passive building design elements. Proposed changes were assessed in three areas: energy consumption, indoor comfort and density. Three computer programs were used: EnergyPlus was the primary tool, simulating energy consumption and thermal comfort. Radiance/Daysim was used to provide robust daylighting calculations and analysis. UrbaWind enabled detailed consideration of the urban wind environment for reliable natural ventilation predictions.  Results found that, through a porous urban form and utilization of daylight and fresh air via simple windows, energy consumption could be reduced as much as 50% in buildings. With automatic modulation of windows and lighting, thermal and visual comfort could be maintained naturally for the majority of the occupied year. Separation of buildings by as little as 2m enabled significant energy improvements while having only minimal impact on individual property and city densities.  Findings indicated that with minor alterations to current urban planning laws, all buildings could have common access to daylight and fresh air, enabling them to operate naturally, increasing energy efficiency and resilience.

Research papers, Victoria University of Wellington

New Zealand lies on the Pacific Ring of Fire – the belt of vulnerable, unpredictable fault lines which are the primary cause for earthquakes in this country. Most recently, as evident in the aftermath of the 2011 Christchurch earthquake -the destruction of the city centre led to the emergence of sub centres in different parts of the city each with different, desperate needs. The lack of preparedness in the wake of an earthquake hence, exacerbated this destitution.  This research explores architecture’s role in the sub-centre. How can architecture facilitate resilience through this decentralised typology?  The design-led approach critiques the implications of architecture as a tool for resilience whilst highlighting the desperate need for the engagement of architecture in planning before a disaster strikes. The resulting response explores resilience through an architectural lens that has a wider infrastructural, contextual and user-focussed need.

Research papers, Victoria University of Wellington

There are many swaths of land that are deemed unsuitable to build on and occupy. These places, however, are rarely within an established city. The Canterbury earthquakes of 2010 and 2011 left areas in central Christchurch with such significant land damage that it is unlikely to be re-inhabited for a considerable period of time. These areas are commonly known as the ‘Red Zone’.This thesis explores redevelop in on volatile land through innovative solutions found and adapted from the traditional Indonesian construction techniques. Currently, Indonesia’s vernacular architecture sits on the verge of extinction after a cultural shift towards the masonry bungalow forced a rapid decline in their occupation and construction. The 2004 Indian Ocean earthquake and tsunami illustrated the bungalows’ poor performance in the face of catastrophic seismic activity, being outperformed by the traditional structures. This has been particularly evident in the Rumah Aceh construction of the Aceh province in Northern Sumatra. Within a New Zealand context an adaptation and modernisation of the Rumah Aceh construction will generate an architectural response not currently accepted under the scope of NZS 3604:2011; the standards most recent revision following the Canterbury earthquake of 2010 concerning timber-based seismic performance. This architectural exploration will further address light timber structures, their components, sustainability and seismic resilience. Improving new builds’ durability as New Zealand moves away from the previously promoted bungalow model that extends beyond residential and into all aspects of New Zealand built environment.

Research papers, Victoria University of Wellington

As cities evolve, change and grow, the need and desire for adaptable architecture becomes evident across the nation. Architecture needs to undertake techniques that are flexible in order to adapt and align with the development of future generations in New Zealand.  The Education industry is a primary example of a sector which requires flexibility within both classroom architectural form and interior configuration. This is a resultant of the recently updated Ministry of Education requirements; which state that every new classroom built or renovated nationwide, must implement the MoE classroom design standards for Innovative Learning Environments.  ILE teaching spaces are configured as an open plan interior, supporting flexibility in classroom arrangement and teaching techniques. ILE classrooms are capable of evolving and adapting as educational practices evolve and change, allowing schools to remain modern and future focused.  As part of this movement to ILE, the Ministry of Education has also recently made an attempt to improve the quality of temporary classrooms. This has been done by looking into the initiation of a programme that utilizes relocatable classroom buildings. Relocatable classrooms have been selected for multiple reasons, primarily flexibility. Flexibility is key for a school environment as it allows the school to actively respond to fluctuating school rolls. It is anticipated that the programme will provide a faster delivery process with a standardised design that allows the classrooms to be relocated from one school to another with relative ease.  Following the devastating February 2011 earthquake the Greater Christchurch Region, the Education sector is in the midst of the Canterbury Schools Rebuild Programme. As a repercussion of this natural disaster, the majority of Christchurch schools have redevelopment or rebuild projects in progress, with preliminary design phases already in action for a small group of select schools regarded as high priority.  The primary funding for these projects are sourced from insurance money, implementing tight budget restrictions, affecting the architectural design, quality and speed of the construction and repair works. The available funding limits the affordable classroom options to basic teaching spaces that have been stripped back to simple architectural forms, dictating not only the re-design, but also how our future generations will learn. Thus causing the development of the new student-led learning ILE concept to become controlled by existing construction techniques and the Rebuild Programmes budget restrictions.  This thesis focuses on the future proofing of New Zealand schools by providing an affordable and time efficient alternative option to the current static, traditional construction, an option that has the ability to cater to the unpredictable fluctuating school rolls across the nation.  This has been done by developing a prefabricated system for standalone classroom blocks. These blocks have the ability to be relocated between different school sites, dynamically catering to the unpredictable school roll numbers experienced across New Zealand. This site flexibility is reflected with the interior flexibility in the classrooms, enhancing the internal teaching space composition and challenges the existing design standards set by the Ministry of Education for Innovative Learning Environments. This system is called “Flexi-Ed”.  Flexibility has been a key driver for this thesis, as the prefabricated structure is have to be flexible in three ways; first in the sense of being easy to assemble and disassemble. Second by offering flexible interior learning environments and thirdly the joints of the structure are designed with the ability to be flexible in order to cope with seismic activity. These three principles will provide schools with long term flexibility, minimal on-site interruption and heighten the standard of ILE across the nation.  I strive to provide schools with long term flexibility and minimal site interruption, whilst heightening the standard of Innovative Learning Environments across New Zealand.

Research papers, Victoria University of Wellington

Architecture and music have a long intertwining history.These respective creative forces many times have collaborated into monumental place, harboured rich occasion, been catalyst for cultural movement and defined generations. Together they transcend their respective identities. From dinky local church to monstrous national stadia, together they are an intense concentration, a powerfully addictive dosage where architecture is the place, music is the faith, and people are the reason.  Music is a programme that architecture often celebrates in poetic and grand fashion; a superficial excuse to symbolise their creative parallels. But their relationship is much richer and holds more value than just the opportunity to attempt architectural metaphor.While music will always overshadow the architecture in the sense of a singular event, architecture is like the soundman behind the mixing desk. It’s not the star front and centre grabbing your attention, but is responsible for framing the star. It is the foundational backdrop, a critical pillar. Great architecture can help make great music. In this sense music is a communication of architecture, it is the ultimate creative function.  Christchurch, New Zealand, is a city whose story changed in an instant. The seismic events of 2010 and 2011 have become the overriding subject of its historical narrative, as it will be for years to come. Disaster redefines place (the town of Napier, struck by an earthquake in 1931, exemplifies this). There is no quantifiable justification for an exploration of architecture and music within the context of Christchurch. The Town Hall, one of New Zealand’s most architecturally significant buildings, is under repair. The Christ Church Cathedral will more than likely be rebuilt to some degree of its former self. But these are echoes of the city that Christchurch was.They are saved because they are artefact. Evidence of history.This thesis makes the argument for the new, the better than before, and for the making of opportunity from disaster, by proposing a ‘new’ town hall, conceived from the sound of old.

Research papers, Victoria University of Wellington

Diverse Density proposes an alternative housing strategy to the idealistic top-down process of housing development.  The term ‘Top – down’ refers to a situation in which decisions are made by a few people in authority rather than by the people who are affected by the decisions (Cambridge).  Problems/Position/Question: New Zealand’s urban housing is in a period of flux. Pressures of densification have permitted the intervention of medium density housing development schemes but these are not always successful. These typically top-down processes often result in internally focused design schemes that do not adhere to their specific context. The subsequent design outcomes can cause detrimental impacts to the local, urban and architectural conditions.  With vast quantities of council regulations, building restrictions and design guidelines clouding over the housing sector, commonly referred to as ‘red tape’, occupant participation in the housing development sector is dwindling. A boundless separation between top-down and traditional housing processes has occurred and our existing neighbourhoods and historic architectural character are taking on the brunt of the problem. The thought-provoking, alternative housings strategies of key research theorists Alejandro Aravena and John Habraken frame positions that challenge contemporary densification methods with an alternative strategy.  This position is addressed by endeavoring to answer; How can demands for denser housing achieve dynamic design responses that adhere to changes in occupancy, function and local site conditions?  Aim: The aim of this thesis is to challenge New Zealand’s current housing densification methods by proposing an alternative densification strategy. Explicit devotion will be attributed to opposing top-down building developments. Secondly, this thesis aims to test a speculative site-specific housing model. The implementation of a Christchurch housing scenario will situate an investigative study to test the strategy and its ability to stimulate greater diversity, site responsiveness, functional adaptability and occupancy permutation. The post-earthquake housing conditions of Christchurch provide an appropriate scenario to test and implement design-led investigations.  Objectives: The primary objectives of this design-led research investigation it to challenge the idealistic top-down method of developing density with a new method to:  - Develop contextual architectural cohesion - Encourage residential diversity - Reinvigorate architectural autonomy - Respond to, and recognise, existing site conditions - Develop a housing model that: - Adapts to occupant functionality preferences - Caters to occupancy diversity - Achieves contextual responsiveness  The proposition is addressed through a speculative design-led scenario study. A well-established Christchurch urban environment is adopted to implement and critique the envisioned alternative strategy. Development of the designs responsiveness, adaptability, and functionality produce a prototype housing model that actively adheres to its particular context.  Implication: The implications of this research would be an alternative densification strategy to perceive the advancement of punctual assessment of building compliance. With accelerated building processes, the research may have implications for addressing New Zealand’s housing crisis whilst simultaneously providing diverse, personable and responsive architectural solutions. A more dynamic, up-to-date and responsive housing development sector would be informed.

Research papers, Victoria University of Wellington

This dissertation contains three essays on the impact of unexpected adverse events on student outcomes. All three attempt to identify causal inference using plausibly exogenous shocks and econometric tools, applied to rich administrative data.  In Chapter 2, I present evidence of the causal effects of the 2011 Christchurch earthquake on tertiary enrolment and completion. Using the shock of the 2011 earthquake on high school students in the Canterbury region, I estimate the effect of the earthquake on a range of outcomes including tertiary enrolment, degree completion and wages. I find the earthquake causes a substantial increase in tertiary enrolment, particularly for low ability high school leavers from damaged schools. However, I find no evidence that low ability students induced by the earthquake complete a degree on time.  In Chapter 3, I identify the impact of repeat disaster exposure on university performance, by comparing outcomes for students who experience their first earthquake while in university, to outcomes for students with prior earthquake exposure. Using a triple-differences estimation strategy with individual-by-year fixed effects, I identify a precise null effect, suggesting that previous experience of earthquakes is not predictive of response to an additional shock two years later.  The final chapter investigates the impact of injuries sustained in university on academic performance and wages, using administrative data including no-fault insurance claims, emergency department attendance and hospital admissions, linked with tertiary enrolment. I find injuries, including minor injuries, have a negative effect on re-enrolment, degree completion and grades in university.

Research papers, Victoria University of Wellington

In 2010 Neil Challenger, Head of the School of Landscape Architecture at Lincoln University, stated that the malls surrounding Christchurch drove the life out of the inner city of Christchurch. His economic and sociological concerns were expressed even before the earthquake occurred, and this forms the current hesitation on the rebuilding of Christchurch’s inner city.  The position of this research proposal is to establish whether an urban architectural intervention can address these economic and sociological concerns and the potentially devastating effects the suburban mall has had on urban life within Christchurch.  The thesis specifically asks whether establishing a mall typology as a landmark building within the inner city can strategically engage the damaged historic buildings of post-earthquake Christchurch in ways that actively preserve these historic remnants.  The main intention of this research is to engage the damaged historic buildings of post-earthquake Christchurch in ways that actively preserve these remnants and are also economically viable. By preserving the remnants as active, working elements of the urban fabric, they act as historic reminders or memorials of the event and associated loss, while also actively participating in the regrowth of the city. The thesis argues that contemporary architecture can play a strategic role in these imperatives.  Overall this research argues that there exists a distinct requirement for large-scale retail in the inner city urban environment that recognises and responds to the damaged cultural and historic architecture of inner city Christchurch. The objective of the thesis is to propose means to rejuvenate not only the economic vitality of central Christchurch,but also its historic character.

Research papers, Victoria University of Wellington

The demand for a new approach to safeguarding New Zealand’s endangered historic buildings was identified as a result of the recent increase in building code and strengthening requirements following the Christchurch earthquakes of 2010-2011. The Wellington City Council identified 266 heritage buildings in the city that must be either strengthened or demolished to address these increased requirements. This thesis explores this threat as an opportunity for researching how contemporary design interventions can be challenged to both strengthen and become active participants in the ongoing history of New Zealand’s potentially endangered historic buildings. This thesis challenges the current approach of completely ‘restoring’ 19th-20th century historic buildings in New Zealand, to develop techniques that structurally reinforce historic buildings while inviting the progressive weathering of a building to remain as a testament to its history. This thesis proposes a structural intervention that is responsive to the progressive history of historic buildings, simultaneously introducing a contemporary structural intervention that both participates in and compliments the progressive historic transformations of the vehicle. This thesis argues that current historic buildings in semi-decayed states in fact enable visitors to witness multiple stages in the life of a building, while fully restored buildings only enable visitors to witness the original form of the building. This thesis proposes a model for contemporary intervention within historic buildings that draws a design intervention from seismic strengthening.The notion of layering is explored as a design approach to incorporate the contemporary with the historic as an additional layer of exposed on-going history, thereby further exposing the layers of history evident within New Zealand’s historic buildings. This thesis combines layering theories of architects Louis Kahn and Carlo Scarpa with related theories of installation artist Mary Miss. The theoretical imperatives of Scarpa and Kahn are explored as a tool of engagement for the junction between the contemporary and historic building materials, and the work of Marry Miss is explored as a design approach for developing a contemporary intervention that references the layered historic building while inviting new means of occupancy between layers. The selected vehicle for the design research investigation is the Albemarle Hotel on Ghuznee Street in Wellington. The techniques proposed in this thesis to strengthen the Albemarle Hotel suggest an approach that might be applied to New Zealand’s wider body of historic buildings that constitute New Zealand’s heritage fabric, ultimately protecting them from demolition while preserving additional layers of their historic narratives. Over all the design research experiments suggest that contemporary interventions derived from structural strengthening may be a viable and cost-effective method of re-inhabiting New Zealand’s endangered heritage buildings, avoiding demolition and securing New Zealand’s heritage for future generations. Research Questions: This thesis challenges the current economically unsustainable approach of laterally reinforcing and completely ‘restoring’ 19th-20th century historic buildings in New Zealand. This thesis argues that current historic buildings in semi-decayed states in fact enable visitors to witness multiple stages in the on-going life of a building. Can the weathered state of New Zealand's heritage buildings be proactively retained and celebrated as witnesses to their history? Can new lateral reinforcing requirements be conceived as active participants in revealing the on-going history of New Zealand's historic buildings?

Research papers, Victoria University of Wellington

The last seven years have seen southern New Zealand a ected by several large and damaging earthquakes: the moment magnitude (MW) 7.8 Dusky Sound earthquake on 15 July 2009, the MW 7.1 Dar eld (Canterbury) earthquake on 4 September 2010, and most notably the MW 6.2 Christchurch earthquake on 22 February 2011 and the protracted aftershock sequence. In this thesis, we address the postseismic displacement produced by these earthquakes using methods of satellite-based geodetic measurement, known as Interferometric Synthetic Aperture Radar (InSAR) and Global Positioning System (GPS), and computational modelling.  We observe several ground displacement features in the Canterbury and Fiordland regions during three periods: 1) Following the Dusky Sound earthquake; 2) Following the Dar eld earthquake and prior to the Christchurch earthquake; and 3) Following the Christchurch earthquake until February 2015.  The ground displacement associated with postseismic motion following the Dusky Sound earthquake has been measured by continuous and campaign GPS data acquired in August 2009, in conjunction with Di erential Interferometric Synthetic Aperture Radar (DInSAR) observations. We use an afterslip model, estimated by temporal inversion of geodetic data, with combined viscoelastic rebound model to account for the observed spatio-temporal patterns of displacement. The two postseismic processes together induce a signi cant displacement corresponding to principal extensional and contractual strain rates of the order of 10⁻⁷ and 10⁻⁸ yr⁻¹ respectively, across most of the southern South Island.  We also analyse observed postseismic displacement following the Dusky Sound earthquake using a new inversion approach in order to describe afterslip in an elasticviscoelastic medium. We develop a mathematical framework, namely the "Iterative Decoupling of Afterslip and Viscoelastic rebound (IDAV)" method, with which to invert temporally dense and spatially sparse geodetic observations. We examine the IDAV method using both numerical and analytical simulations of Green's functions.  For the post-Dar eld time interval, postseismic signals are measured within approximately one month of the mainshock. The dataset used for the post-Dar eld displacement spans the region surrounding previously unrecognised faults that ruptured during the mainshock. Poroelastic rebound in a multi-layered half-space and dilatancy recovery at shallow depths provide a satisfactory t with the observations.  For the post-Christchurch interval, campaign GPS data acquired in February 2012 to February 2015 in four successive epochs and 66 TerraSAR-X (TSX) SAR acquisitions in descending orbits between March 2011 and May 2014 reveal approximately three years of postseismic displacement. We detect movement away from the satellite of ~ 3 mm/yr in Christchurch and a gradient of displacement of ~ 4 mm/yr across a lineament extending from the westernmost end of the Western Christchurch Fault towards the eastern end of the Greendale East Fault. The postseismic signals following the Christchurch earthquake are mainly accounted for by afterslip models on the subsurface lineament and nearby faults.

Research papers, Victoria University of Wellington

Construction and Demolition (C&D) waste contributes to over 50% of New Zealand’s overall waste. Materials such as timber, plasterboard, and concrete make up 81% of the C&D waste that goes into landfills each year. Alongside this, more than 235 heritage-listed buildings have been demolished in Christchurch since the 2011 earthquakes. This research portfolio aims to find a solution to decrease C&D waste produced by demolishing heritage buildings. With the recent announcement of The Cathedral of the Blessed Sacrament’s demolition, this will be another building added to the list of lost heritage in Christchurch. This research portfolio aims to bridge the relationship between heritage and waste through the recycling and reuse of the demolished materials, exploring the idea that history and heritage are preserved through building material reuse. This research portfolio mainly focuses on reducing construction and demolition waste in New Zealand, using the design of a new Catholic Cathedral as a vessel. This thesis will challenge how the construction and design industry deals with the demolition of heritage buildings and their contribution to New Zealand’s waste. It aims to explore the idea of building material reuse not only to reduce waste but also to retain the history and heritage of the demolished building within the materials.

Research papers, Victoria University of Wellington

Ōtautahi-Christchurch faces the future in an enviable position. Compared to other New Zealand cities Christchurch has lower housing costs, less congestion, and a brand-new central city emerging from the rubble of the 2011 earthquakes. ‘Room to Breathe: designing a framework for medium density housing (MDH) in Ōtautahi-Christchurch’ seeks to answer the timely question how can medium density housing assist Ōtautahi-Christchurch to respond to growth in a way that supports a well-functioning urban environment? Using research by design, the argument is made that MDH can be used to support a safe, accessible, and connected urban environment that fosters community, while retaining a level of privacy. This is achieved through designing a neighbourhood concept addressing 3 morphological scales- macro- the city; meso- the neighbourhood; and micro- the home and street. The scales are used to inform a design framework for MDH specific to Ōtautahi-Christchurch, presenting a typological concept that takes full advantage of the benefits higher density living has to offer. Room to Breathe proposes repurposing underutilised areas surrounding existing mass transit infrastructure to provide a concentrated populous who do not solely rely on private vehicles for transport. By considering all morphological scales Room to Breathe provides one suggestion on how MDH could become accepted as part of a well-functioning urban environment.

Research papers, Victoria University of Wellington

This topic was chosen in response to the devastation caused to Cathedral Square, Christchurch, New Zealand following earthquakes in 2010 and 2011. Working amongst the demolition bought to attention questions about how to re-conceive the square within the rebuilt city. In particular, it raised questions as to how a central square could be better integrated and experienced as a contemporary addition to Christchurch city. This thesis seeks to investigate the ways in which central squares can be better integrated with the contemporary city and how New Urbanist design principles can contribute toward this union. The research principally focuses on the physical and spatial integration of the square with the contemporary city. A drawing-based analysis of select precedent case studies helped to determine early on that overall integration of the contemporary square could be attributed to several interdependent criteria. The detailed studies are supplemented further with literature-based research that narrowed the criteria to five integrative properties. These are: identity, scale and proportion, use, connectivity and natural landscape. These were synthesised, in part, from the integrative New Urbanist movement and the emerging integrative side of the more contemporary Post Urbanist movement. The literature-based research revealed that a more inclusive approach toward New Urbanist and Post Urbanist design methodologies may also produce a more integrated and contemporary square. Three design case studies, using the redesign of Cathedral Square, were undertaken to test this hypothesis. The case studies found that overall, integration was reliant on a harmonious balance between the five integrative properties, concluding that squares can be better integrated with the contemporary city. Further testing of the third concept, which embraced an allied New Urbanist / Post Urbanist approach to design, found that New Urbanism was limited in its contribution toward the integration of the square.