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Research papers, University of Canterbury Library

In this paper, the characteristics of near-fault ground motions recorded during the Mw7.1 Darfield and Mw 6.2 Christchurch earthquakes are examined and compared with existing empirical models. The characteristics of forward-directivity effects are first examined using a wavelet-based pulse-classification algorithm. This is followed by an assessment of the adequacy of empirical models which aim to capture the effect of directivity effects on amplifying the acceleration response spectra; and the period and peak velocity of the forward-directivity pulse. It is illustrated that broadband directivity models developed by Somerville et al. (1997) and Abrahamson (2000) generally under-predict the observed amplification of response spectral ordinates at longer vibration periods. In contrast, a recently developed narrowband model by Shahi and Baker (2011) provides significantly improved predictions by amplifying the response spectra within a small range of periods surrounding the directivity pulse period. Although the empirical predictions of the pulse period are generally favourable for the Christchurch earthquake, the observations from the Darfield earthquake are significantly under-predicted. The elongation in observed pulse periods is inferred as being a result of the soft sedimentary soils of the Canterbury basin. However, empirical predictions of the observed peak velocity associated with the directivity pulse are generally adequate for both events.

Research papers, University of Canterbury Library

The purpose of this thesis is to conduct a detailed examination of the forward-directivity characteristics of near-fault ground motions produced in the 2010-11 Canterbury earthquakes, including evaluating the efficacy of several existing empirical models which form the basis of frameworks for considering directivity in seismic hazard assessment. A wavelet-based pulse classification algorithm developed by Baker (2007) is firstly used to identify and characterise ground motions which demonstrate evidence of forward-directivity effects from significant events in the Canterbury earthquake sequence. The algorithm fails to classify a large number of ground motions which clearly exhibit an early-arriving directivity pulse due to: (i) incorrect pulse extraction resulting from the presence of pulse-like features caused by other physical phenomena; and (ii) inadequacy of the pulse indicator score used to carry out binary pulse-like/non-pulse-like classification. An alternative ‘manual’ approach is proposed to ensure 'correct' pulse extraction and the classification process is also guided by examination of the horizontal velocity trajectory plots and source-to-site geometry. Based on the above analysis, 59 pulse-like ground motions are identified from the Canterbury earthquakes , which in the author's opinion, are caused by forward-directivity effects. The pulses are also characterised in terms of their period and amplitude. A revised version of the B07 algorithm developed by Shahi (2013) is also subsequently utilised but without observing any notable improvement in the pulse classification results. A series of three chapters are dedicated to assess the predictive capabilities of empirical models to predict the: (i) probability of pulse occurrence; (ii) response spectrum amplification caused by the directivity pulse; (iii) period and amplitude (peak ground velocity, PGV) of the directivity pulse using observations from four significant events in the Canterbury earthquakes. Based on the results of logistic regression analysis, it is found that the pulse probability model of Shahi (2013) provides the most improved predictions in comparison to its predecessors. Pulse probability contour maps are developed to scrutinise observations of pulses/non-pulses with predicted probabilities. A direct comparison of the observed and predicted directivity amplification of acceleration response spectra reveals the inadequacy of broadband directivity models, which form the basis of the near-fault factor in the New Zealand loadings standard, NZS1170.5:2004. In contrast, a recently developed narrowband model by Shahi & Baker (2011) provides significantly improved predictions by amplifying the response spectra within a small range of periods. The significant positive bias demonstrated by the residuals associated with all models at longer vibration periods (in the Mw7.1 Darfield and Mw6.2 Christchurch earthquakes) is likely due to the influence of basin-induced surface waves and non-linear soil response. Empirical models for the pulse period notably under-predict observations from the Darfield and Christchurch earthquakes, inferred as being a result of both the effect of nonlinear site response and influence of the Canterbury basin. In contrast, observed pulse periods from the smaller magnitude June (Mw6.0) and December (Mw5.9) 2011 earthquakes are in good agreement with predictions. Models for the pulse amplitude generally provide accurate estimates of the observations at source-to-site distances between 1 km and 10 km. At longer distances, observed PGVs are significantly under-predicted due to their slower apparent attenuation. Mixed-effects regression is employed to develop revised models for both parameters using the latest NGA-West2 pulse-like ground motion database. A pulse period relationship which accounts for the effect of faulting mechanism using rake angle as a continuous predictor variable is developed. The use of a larger database in model development, however does not result in improved predictions of pulse period for the Darfield and Christchurch earthquakes. In contrast, the revised model for PGV provides a more appropriate attenuation of the pulse amplitude with distance, and does not exhibit the bias associated with previous models. Finally, the effects of near-fault directivity are explicitly included in NZ-specific probabilistic seismic hazard analysis (PSHA) using the narrowband directivity model of Shahi & Baker (2011). Seismic hazard analyses are conducted with and without considering directivity for typical sites in Christchurch and Otira. The inadequacy of the near-fault factor in the NZS1170.5: 2004 is apparent based on a comparison with the directivity amplification obtained from PSHA.

Research papers, University of Canterbury Library

In major seismic events, a number of plan-asymmetric buildings which experienced element failure or structural collapse had twisted significantly about their vertical axis during the earthquake shaking. This twist, known as “building torsion”, results in greater demands on one side of a structure than on the other side. The Canterbury Earthquakes Royal Commission’s reports describe the response of a number of buildings in the February 2011 Christchurch earthquakes. As a result of the catastrophic collapse of one multi-storey building with significant torsional irregularity, and significant torsional effects also in other buildings, the Royal Commission recommended that further studies be undertaken to develop improved simple and effective guides to consider torsional effects in buildings which respond inelastically during earthquake shaking. Separately from this, as building owners, the government, and other stakeholders, are planning for possible earthquake scenarios, they need good estimates of the likely performance of both new and existing buildings. These estimates, often made using performance based earthquake engineering considerations and loss estimation techniques, inform decision making. Since all buildings may experience torsion to some extent, and torsional effects can influence demands on building structural and non-structural elements, it is crucial that demand estimates consider torsion. Building seismic response considering torsion can be evaluated with nonlinear time history analysis. However, such analysis involves significant computational effort, expertise and cost. Therefore, from an engineers’ point of view, simpler analysis methods, with reasonable accuracy, are beneficial. The consideration of torsion in simple analysis methods has been investigated by many researchers. However, many studies are theoretical without direct relevance to structural design/assessment. Some existing methods also have limited applicability, or they are difficult to use in routine design office practice. In addition, there has been no consensus about which method is best. As a result, there is a notable lack of recommendations in current building design codes for torsion of buildings that respond inelastically. There is a need for building torsion to be considered in yielding structures, and for simple guidance to be developed and adopted into building design standards. This study aims to undertaken to address this need for plan-asymmetric structures which are regular over their height. Time history analyses are first conducted to quantify the effects of building plan irregularity, that lead to torsional response, on the seismic response of building structures. Effects of some key structural and ground motion characteristics (e.g. hysteretic model, ground motion duration, etc.) are considered. Mass eccentricity is found to result in rather smaller torsional response compared to stiffness/strength eccentricity. Mass rotational inertia generally decreases the torsional response; however, the trend is not clearly defined for torsionally restrained systems (i.e. large λty). Systems with EPP and bilinear models have close displacements and systems with Takeda, SINA, and flag-shaped models yield almost the same displacements. Damping has no specific effect on the torsional response for the single-storey systems with the unidirectional eccentricity and excitation. Displacements of the single-storey systems subject to long duration ground motion records are smaller than those for short duration records. A method to consider torsional response of ductile building structures under earthquake shaking is then developed based on structural dynamics for a wide range of structural systems and configurations, including those with low and high torsional restraint. The method is then simplified for use in engineering practice. A novel method is also proposed to simply account for the effects of strength eccentricity on response of highly inelastic systems. A comparison of the accuracy of some existing methods (including code-base equivalent static method and model response spectrum analysis method), and the proposed method, is conducted for single-storey structures. It is shown that the proposed method generally provides better accuracy over a wide range of parameters. In general, the equivalent static method is not adequate in capturing the torsional effects and the elastic modal response spectrum analysis method is generally adequate for some common parameters. Record-to-record variation in maximum displacement demand on the structures with different degrees of torsional response is considered in a simple way. Bidirectional torsional response is then considered. Bidirectional eccentricity and excitation has varying effects on the torsional response; however, it generally increases the weak and strong edges displacements. The proposed method is then generalized to consider the bidirectional torsion due to bidirectional stiffness/strength eccentricity and bidirectional seismic excitation. The method is shown to predict displacements conservatively; however, the conservatism decreases slightly for cases with bidirectional excitation compared to those subject to unidirectional excitation. In is shown that the roof displacement of multi-storey structures with torsional response can be predicted by considering the first mode of vibration. The method is then further generalized to estimate torsional effects on multi-storey structure displacement demands. The proposed procedure is tested multi-storey structures and shown to predict the displacements with a good accuracy and conservatively. For buildings which twist in plan during earthquake shaking, the effect of P-Δλ action is evaluated and recommendations for design are made. P-Δλ has more significant effects on systems with small post- yield stiffness. Therefore, system stability coefficient is shown not to be the best indicator of the importance of P-Δλ and it is recommended to use post-yield stiffness of system computed with allowance for P-Δλ effects. For systems with torsional response, the global system stability coefficient and post- yield stiffness ration do not reflect the significance of P-Δλ effects properly. Therefore, for torsional systems individual seismic force resisting systems should be considered. Accuracy of MRSA is investigated and it is found that the MRSA is not always conservative for estimating the centre of mass and strong edge displacements as well as displacements of ductile systems with strength eccentricity larger than stiffness eccentricity. Some modifications are proposed to get the MRSA yields a conservative estimation of displacement demands for all cases.

Images, Alexander Turnbull Library

Text reads 'Uses for Christchurch rubble?...' The cartoon shows a bridge made partially of earthquake rubble leading from Lyttelton Harbour to Diamond Harbour on Banks Peninsula. Someone in a van says 'At long last... A bridge to Diamond Harbour!' And someone else says 'And somewhere to fish!' Context - Rubble from the earthquake may be used for the construction of watersides and bridges. This cartoon is a fanciful use for Christchurch earthquake rubble. Currently a ferry connects Diamond Harbour to Lyttelton, on the harbour's northern shore. In combination with buses from Lyttelton to downtown Christchurch, this allows residents of Diamond Bay to commute to the city. Quantity: 1 digital cartoon(s).

Images, Alexander Turnbull Library

Shows a helicopter spray painting Christchurch with the Canterbury colours of black and red. Someone in the helicopter yells that 'it's gotta be better than tint of TC3'. Context: Probably refers to the apology by Earthquake Recovery Minister Gerry Brownlee for offending Christchurch's TC3 residents after saying he was 'sick and tired' of their moaning. TC3 means 'technical category 3'. Land classified TC3 is the mostly badly quake-damaged considered economically repairable. Quantity: 1 digital cartoon(s).

Research papers, University of Canterbury Library

Heathcote Valley school strong motion station (HVSC) consistently recorded ground motions with higher intensities than nearby stations during the 2010-2011 Canterbury earthquakes. For example, as shown in Figure 1, for the 22 February 2011 Christchurch earthquake, peak ground acceleration at HVSC reached 1.4 g (horizontal) and 2 g (vertical), the largest ever recorded in New Zealand. Strong amplification of ground motions is expected at Heathcote Valley due to: 1) the high impedance contrast at the soil-rock interface, and 2) the interference of incident and surface waves within the valley. However, both conventional empirical ground motion prediction equations (GMPE) and the physics-based large scale ground motions simulations (with empirical site response) are ineffective in predicting such amplification due to their respective inherent limitations.

Research papers, University of Canterbury Library

As part of the Canterbury Earthquake Digital Archive, this thesis documents the effects of the earthquakes on the musical life of Christchurch. It concentrates, primarily, on the classical music scene. The thesis examines the difficulties experienced by musical organisations, individual musicians, and teachers as they sought to bring music to the broken city, together with the measures that were necessary in order to overcome those difficulties. It examines how those organisations have worked to re-establish themselves in their particular musical fields. It charts the progress made, to date, along the path to recovery and offers suggestions regarding precautionary measures which, if instituted, could reduce the after-effects of a future disaster. Recognising that not all of the difficulties encountered were directly related to the earthquakes, this thesis also examines the effects on music and musicians, of decision making associated with the recovery effort. The thesis also demonstrates how a destructive event can provide the inspiration for creativity. It recognises the importance of music in maintaining a sense of normality for people, whether they realise it or not, as well as its influences in providing emotional relief in times of stress. Hopefully, it may become a useful guide to which other cities that may be faced with some natural disaster, could refer.

Images, Alexander Turnbull Library

Text at top left reads 'Don't forget rubbish day' The cartoon is a large wheelie bin stacked high with debris from 'old dunger buildings'. Someone in a damaged house nearby says 'Good riddance!' Context - Two earthquakes and hundreds of aftershocks have hit Christchurch, the first on 4 September 2010 and a second more devastating one on 22 February 2011. Earthquake Recovery Minister Gerry Brownlee may or may not have actually used the words 'old dungers' to describe some of Christchurch's heritage buildings that are not worth keeping but he might as well have done because many people believe that this is the way he thinks. Debate about which heritage buildings should be kept and which demolished has begun along with debate about how the city should be rebuilt. Quantity: 1 digital cartoon(s).

Images, Alexander Turnbull Library

A signpost pointing 'West' and 'East'. The sign pointing West is intact; that indicating East is broken and barely hanging on to the post. Refers to the condition of Christchurch City after the earthquakes of 2010 and 2011; the western wealthier suburbs were less damaged than the poorer Eastern suburbs. Also, progress on repair and rehabilitation of eastern housing had been slow. The redesign of the city centre seemed to be a western suburb priority which ignored the poverty and misery of living conditions on the east. Quantity: 1 digital cartoon(s).

Images, Alexander Turnbull Library

Text at top left reads 'Christchurch display portaloos' Four different styles of portaloo are shown; the "Merivale", the 'Sumner", the "Heritage" and the "Eastsider"; someone inside the 'Eastsider says 'At least I'm open plan AND mobile!' Context - After the tow Christchurch earthquakes and hundreds of aftershocks that have hit Christchurch one of the problems is lack of toilets because of damage to buildings and also damage to sewage systems so many portaloos and chemical toilets have been sent to Christchurch. However many people have resorted to the good old kiwi way and dug long-drops in the backyard. A website 'showusyourlongdrop.co.nz' has been developed by Christchurch man Jason Moore, who was inspired by photographs of Christchurch dunnies uploaded to Facebook. There has been a competition. Quantity: 1 digital cartoon(s).

Images, Alexander Turnbull Library

Roger Sutton, former chief executive of the the power lines company, Orion and since June 2011 Chief Executive Officer of the Canterbury Earhquake Recovery Authority, is shown in a straitjacket, raving. An unseen interviewer asks him how it feels after 'two years in the job'. Roger Sutton's work in leading the Earthquake Authority after the February earthquake was extremely stressful, considering the magnitude of the task. Quantity: 1 digital cartoon(s).

Research papers, University of Canterbury Library

1. Background and Objectives This poster presents results from ground motion simulations of small-to-moderate magnitude (3.5≤Mw≤5.0) earthquake events in the Canterbury, New Zealand region using the Graves and Pitarka (2010,2015) methodology. Subsequent investigation of systematic ground motion effects highlights the prediction bias in the simulations which are also benchmarked against empirical ground motion models (e.g. Bradley (2013)). In this study, 144 earthquake ruptures, modelled as point sources, are considered with 1924 quality-assured ground motions recorded across 45 strong motion stations throughout the Canterbury region, as shown in Figure 1. The majority of sources are Mw≥4.0 and have centroid depth (CD) 10km or shallower. Earthquake source descriptions were obtained from the GeoNet New Zealand earthquake catalogue. The ground motion simulations were performed within a computational domain of 140km x 120km x 46km with a finite difference grid spacing of 0.1km. The low-frequency (LF) simulations utilize the 3D Canterbury Velocity Model while the high-frequency (HF) simulations utilize a generic regional 1D velocity model. In the LF simulations, a minimum shear wave velocity of 500m/s is enforced, yielding a maximum frequency of 1.0Hz.

Research papers, The University of Auckland Library

Utility managers are always looking for appropriate tools to estimate seismic damage in wastewater networks located in earthquake prone areas. Fragility curves, as an appropriate tool, are recommended for seismic vulnerability analysis of buried pipelines, including pressurised and unpressurised networks. Fragility curves are developed in pressurised networks mainly for water networks. Fragility curves are also recommended for seismic analysis in unpressurised networks. Applying fragility curves in unpressurised networks affects accuracy of seismic damage estimation. This study shows limitations of these curves in unpressurised networks. Multiple case study analysis was applied to demonstrate the limitations of the application of fragility curves in unpressurised networks in New Zealand. Four wastewater networks within New Zealand were selected as case studies and various fragility curves used for seismic damage estimation. Observed damage in unpressurised networks after the 2007 earthquake in Gisborne and the 2010 earthquake in Christchurch demonstrate the appropriateness of the applied fragility curves to New Zealand wastewater networks. This study shows that the application of fragility curves, which are developed from pressurised networks, cannot be accurately used for seismic damage assessment in unpressurised wastewater networks. This study demonstrated the effects of different parameters on seismic damage vulnerability of unpressurised networks.

Images, Alexander Turnbull Library

Shows a man exhausted after a weekend of watching the All Blacks playing Ireland on TV. His wife understands the frustration of Christchurch residents waiting too long for repairs to properties. Context: Refers to frustrating delays in getting earthquake-related repairs done in Christchurch, this in large part due to slowness of insurance claims and permissions. Quantity: 1 digital cartoon(s).

Research papers, University of Canterbury Library

Active faults capable of generating highly damaging earthquakes may not cause surface rupture (i.e., blind faults) or cause surface ruptures that evade detection due to subsequent burial or erosion by surface processes. Fault populations and earthquake frequency-­‐magnitude distributions adhere to power laws, implying that faults too small to cause surface rupture but large enough to cause localized strong ground shaking densely populate continental crust. The rupture of blind, previously undetected faults beneath Christchurch, New Zealand in a suite of earthquakes in 2010 and 2011, including the fatal 22 February 2011 moment magnitude (Mw) 6.2 Christchurch earthquake and other large aftershocks, caused a variety of environmental impacts, including major rockfall, severe liquefaction, and differential surface uplift and subsidence. All of these effects occurred where geologic evidence for penultimate effects of the same nature existed. To what extent could the geologic record have been used to infer the presence of proximal, blind and / or unidentified faults near Christchurch? In this instance, we argue that phenomena induced by high intensity shaking, such as rock fragmentation and rockfall, revealed the presence of proximal active faults in the Christchurch area prior to the recent earthquake sequence. Development of robust earthquake shaking proxy datasets should become a higher scientific priority, particularly in populated regions.

Research papers, University of Canterbury Library

The Canterbury earthquakes are unique in that the there have been a series of major earthquakes, each with their own subsequent aftershock pattern. These have extended from the first large earthquake in September 2010 to currently, at the time of writing, two years later. The last significant earthquake of over magnitude 5.0 on the Richter scale was in May on 2012, and the total number of aftershocks has exceeded 12,000. The consequences, in addition to the loss of life, significant injury and widespread damage, have been far reaching and long term, with detrimental effects and still uncertain effects for many. This provides unique challenges for individuals, communities, organisations and institutions within Canterbury. This document reviews research-based understandings of the concept of resilience. A conceptual model is developed which identifies a number of the factors that influence individual and household resilience. Guided by the model, a series of recommendations are developed for practices that will support individual and household resilience in Canterbury in the aftermath of the 2010-2011 earthquakes.

Research papers, University of Canterbury Library

This paper concerns the explicit consideration of near-fault directivity in conventional ground motion prediction models, and its implication for probabilistic seismic hazard analysis (PSHA) in New Zealand. The proposed approach utilises recently developed models by Shahi & Baker (2011), which account for both the 'narrowband' nature of the directivity pulse on spectral ordinates, and the probability of pulse occurrence at the site of interest. Furthermore, in order to correctly consider directivity, distributed seismicity sources are considered as finite-faults, as opposed to their (incorrect) conventional treatment as point-sources. The significance of directivity on hazard analysis results is illustrated for various vibration periods at generic sites located in Christchurch and Otira, two locations whose seismic hazard is comprised of notably different seismic sources. When compared to the PSHA results considering directivity and distributed seismicity as finite faults, it is shown that the NZS1170.5:2004 directivity factor is notably unconservative for all vibration periods in Otira (i.e. high seismic hazard region); and unconservative for Christchurch at short-to-moderate vibration periods ( < 3s); but conservative at long periods ( > 4s).

Images, Alexander Turnbull Library

Text reads 'City's old chimneys are considered the no. 1 earthquake danger'. Below are several angry-looking chimneys which sing 'Chim chim-in-ey. Chim chim-in-ey, chim chim cher-oo! When the big shake's on - we're coming to get you!' Context - Invercargill City council building services manager Simon Tonkin has seen first-hand the massive damage falling chimneys inflicted on homes and nearby vehicles following the massive Christchurch quake, and says that Invercargill's old brick chimneys are the No1 danger to the city's residents and homes if a major earthquake strikes and should be removed if they are not being used. (Southland Times 6 April 2011) Quantity: 1 digital cartoon(s).

Images, Alexander Turnbull Library

The cartoon depicts a rose window set in a stone wall. The glass circles each contain a dollar sign. Refers to the future of the Christchurch Cathedral after the Canterbury earthquakes of 2010 and 2011. The Anglican Church seemed to only consider the money in arguing that it would be too expensive to be repaired or rebuilt. Title from file name Quantity: 1 digital cartoon(s).

Research papers, University of Canterbury Library

The 22nd February 2011, Mw 6.3 Christchurch earthquake in New Zealand caused major damage to critical infrastructure, including the healthcare system. The Natural Hazard Platform of NZ funded a short-term project called “Hospital Functions and Services” to support the Canterbury District Health Board’s (CDHB) efforts in capturing standardized data that describe the effects of the earthquake on the Canterbury region’s main hospital system. The project utilised a survey tool originally developed by researchers at Johns Hopkins University (JHU) to assess the loss of function of hospitals in the Maule and Bío-Bío regions following the 27th February 2010, Mw 8.8 Maule earthquake in Chile. This paper describes the application of the JHU tool for surveying the impact of Christchurch earthquake on the CDHB Hospital System, including the system’s residual capacity to deliver emergency response and health care. A short summary of the impact of the Christchurch earthquake on other CDHB public and private hospitals is also provided. This study demonstrates that, as was observed in other earthquakes around the world, the effects of damage to non-structural building components, equipment, utility lifelines, and transportation were far more disruptive than the minor structural damage observed in buildings (FEMA 2007). Earthquake related complications with re-supply and other organizational aspects also impacted the emergency response and the healthcare facilities’ residual capacity to deliver services in the short and long terms.

Images, Alexander Turnbull Library

Shows a carcass that represents the Christchurch Cathedral with many people rushing to try to save it from demolition. Context: the extremely controversial debate about whether the Christchurch Cathedral which was severely damaged in the earthquakes, should be demolished, rebuilt on the same site in the same style or partially demolished and made into a memorial. Quantity: 1 digital cartoon(s).

Images, Alexander Turnbull Library

The title is 'Gerry BrownLie?' and the cartoon shows the Minister for Earthquake recovery, Gerry Brownlee, saying 'I promise not to promise again'. The words 'Red Zone' appear beneath with the word 'faced' inserted between them. Context: The 'Red Zone' is the earthquake area in which houses cannot be rebuilt. Earthquake Minister Gerry Brownlee has apologised for falsely promising red zone homeowners they would be paid out for improvements to their house. Brownlee promised in June that, in some cases, home improvements like new kitchens would be included in the government settlement offer for red zone houses. But the offer is only valid if the improvement has added to the footprint of the house. (Press - 4 September 2011) Alternate version of DCDL-0018757 Quantity: 1 digital cartoon(s).

Research papers, The University of Auckland Library

Many large-scale earthquakes all over the world have highlighted the impact of soil liquefaction to the built environment, but the scale of liquefaction-induced damage experienced in Christchurch and surrounding areas following the 2010-2011 Canterbury earthquake sequence (CES) was unparalleled, especially in terms of impact to an urban area. The short time interval between the large earthquakes presented a very rare occasion to examine liquefaction mechanism in natural deposits. The re-liquefaction experienced by the city highlighted the high liquefaction susceptibility of soil deposits in Christchurch, and presented a very challenging problem not only to the local residents but to the geotechnical engineering profession. This paper summarises the lessons learned from CES, and the impacts of the observations made to the current practice of liquefaction assessment and mitigation.

Articles, UC QuakeStudies

A paper submitted by Andrew Moore in partial fulfilment of the degree of Bachelor of Music with Honours, covering the effects of the Canterbury earthquakes on the musical life of Christchurch. Dissertation supervised by Dr Elaine Dobson, University of Canterbury School of Music. All photographs from The Press are copyright Fairfax Media and are used with permission.