title: Tephrochronology and its application: A review

authors: Lowe, David J.

subjects: tephras

abstract: Tephrochronology (from tephra, Gk ‘ashes’) is a unique stratigraphic method for linking, dating, and synchronizing geological, palaeoenvironmental, or archaeological sequences or events. As well as utilising the Law of Superposition, tephrochronology in practise requires tephra deposits to be characterized (or ‘fingerprinted’) using physical properties evident in the field together with those obtained from laboratory analyses. Such analyses include mineralogical examination (petrography) or geochemical analysis of glass shards or crystals using an electron microprobe or other analytical tools including laser-ablation-based mass spectrometry or the ion microprobe. The palaeoenvironmental or archaeological context in which a tephra occurs may also be useful for correlational purposes. Tephrochronology provides greatest utility when a numerical age obtained for a tephra or cryptotephra is transferrable from one site to another using stratigraphy and by comparing and matching inherent compositional features of the deposits with a high degree of likelihood. Used this way, tephrochronology is an age-equivalent dating method that provides an exceptionally precise volcanic-event stratigraphy. Such age transfers are valid because the primary tephra deposits from an eruption essentially have the same short-lived age everywhere they occur, forming isochrons very soon after the eruption (normally within a year). As well as providing isochrons for palaeoenvironmental and archaeological reconstructions, tephras through their geochemical analysis allow insight into volcanic and magmatic processes, and provide a comprehensive record of explosive volcanism and recurrence rates in the Quaternary (or earlier) that can be used to establish time-space relationships of relevance to volcanic hazard analysis.
The basis and application of tephrochronology as a central stratigraphic and geochronological tool for Quaternary studies are presented and discussed in this review. Topics covered include principles of tephrochronology, defining isochrons, tephra nomenclature, mapping and correlating tephras from proximal to distal locations at metre- through to sub-millimetre-scale, cryptotephras, mineralogical and geochemical fingerprinting methods, numerical and statistical correlation techniques, and developments and applications in dating including the use of flexible depositional age-modelling techniques based on Bayesian statistics. Along with reference to wide-ranging examples and the identification of important recent advances in tephrochronology, such as the development of new geoanalytical approaches that enable individual small glass shards to be analysed near-routinely for major, trace, and rare-earth elements, potential problems such as miscorrelation, erroneous-age transfer, and tephra reworking and taphonomy (especially relating to cryptotephras) are also examined. Some of the challenges for future tephrochronological studies include refining geochemical analytical methods further, improving understanding of cryptotephra distribution and preservation patterns, improving age modelling including via new or enhanced radiometric or incremental techniques and Bayesian-derived models, evaluating and quantifying uncertainty in tephrochronology to a greater degree than at present, constructing comprehensive regional databases, and integrating tephrochronology with spatially referenced environmental and archaeometric data into 3-D reconstructions using GIS and geostatistics.

text: Tephrochronology and its application: A review Tephrochronology (from tephra, Gk ‘ashes’) is a unique stratigraphic method for linking, dating, and synchronizing geological, palaeoenvironmental, or archaeological sequences or events. As well as utilising the Law of Superposition, tephrochronology in practise requires tephra deposits to be characterized (or ‘fingerprinted’) using physical properties evident in the field together with those obtained from laboratory analyses. Such analyses include mineralogical examination (petrography) or geochemical analysis of glass shards or crystals using an electron microprobe or other analytical tools including laser-ablation-based mass spectrometry or the ion microprobe. The palaeoenvironmental or archaeological context in which a tephra occurs may also be useful for correlational purposes. Tephrochronology provides greatest utility when a numerical age obtained for a tephra or cryptotephra is transferrable from one site to another using stratigraphy and by comparing and matching inherent compositional features of the deposits with a high degree of likelihood. Used this way, tephrochronology is an age-equivalent dating method that provides an exceptionally precise volcanic-event stratigraphy. Such age transfers are valid because the primary tephra deposits from an eruption essentially have the same short-lived age everywhere they occur, forming isochrons very soon after the eruption (normally within a year). As well as providing isochrons for palaeoenvironmental and archaeological reconstructions, tephras through their geochemical analysis allow insight into volcanic and magmatic processes, and provide a comprehensive record of explosive volcanism and recurrence rates in the Quaternary (or earlier) that can be used to establish time-space relationships of relevance to volcanic hazard analysis.
The basis and application of tephrochronology as a central stratigraphic and geochronological tool for Quaternary studies are presented and discussed in this review. Topics covered include principles of tephrochronology, defining isochrons, tephra nomenclature, mapping and correlating tephras from proximal to distal locations at metre- through to sub-millimetre-scale, cryptotephras, mineralogical and geochemical fingerprinting methods, numerical and statistical correlation techniques, and developments and applications in dating including the use of flexible depositional age-modelling techniques based on Bayesian statistics. Along with reference to wide-ranging examples and the identification of important recent advances in tephrochronology, such as the development of new geoanalytical approaches that enable individual small glass shards to be analysed near-routinely for major, trace, and rare-earth elements, potential problems such as miscorrelation, erroneous-age transfer, and tephra reworking and taphonomy (especially relating to cryptotephras) are also examined. Some of the challenges for future tephrochronological studies include refining geochemical analytical methods further, improving understanding of cryptotephra distribution and preservation patterns, improving age modelling including via new or enhanced radiometric or incremental techniques and Bayesian-derived models, evaluating and quantifying uncertainty in tephrochronology to a greater degree than at present, constructing comprehensive regional databases, and integrating tephrochronology with spatially referenced environmental and archaeometric data into 3-D reconstructions using GIS and geostatistics.

year: 2011

title: Superintegrability on the two-dimensional hyperboloid. II

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: This work is devoted to the investigation of the quantum mechanical systems on the two-dimensional hyperboloid which admits separation of variables in at least two coordinate systems. Here we consider two potentials introduced in a paper of C. P. Boyer, E. G. Kalnins, and P. Winternitz [J. Math. Phys. 24, 2022 (1983)], which have not yet been studied. We give an example of an interbasis expansion and work out the structure of the quadratic algebra generated by the integrals of motion.

text: Superintegrability on the two-dimensional hyperboloid. II This work is devoted to the investigation of the quantum mechanical systems on the two-dimensional hyperboloid which admits separation of variables in at least two coordinate systems. Here we consider two potentials introduced in a paper of C. P. Boyer, E. G. Kalnins, and P. Winternitz [J. Math. Phys. 24, 2022 (1983)], which have not yet been studied. We give an example of an interbasis expansion and work out the structure of the quadratic algebra generated by the integrals of motion.

year: 1999-05

title: Investment in Authentic Sustainable Cultural Tourism : Planning for the Future Benefit of Waikato-Tainui along the Waikato River, Case Studies at Tūrangawaewae and Te Awamārahi Marae

authors: Cooper, Mei Te Werawera Te Reokaha

abstract: “Tērā ōkū hoa kei ngā tōpito e whā o te ao - My friends will come from all parts of the world” – Kīngi Tāwhiao 1822-1894

This doctorate is guided by the visions of the second Māori king, Kīngi Tāwhiao, which reflect the importance of global connections, relationships (Turongo House, 2000:109) and investment to achieve the ultimate goal of authentic or ‘true’ sustainability throughout the world.  The strategic process will require a balance between humans and the natural environment to ensure long-term growth and survival.  This research will investigate whether investment in Authentic Sustainable Cultural Tourism (ASCT) will provide long-term and sustainable benefits for tribes throughout New Zealand, using a study of Waikato-Tainui.  ASCT, if practiced correctly, must be driven by whānau of marae, hapū and iwi alongside ideal long-term partners to ultimately achieve indigenous autonomy. ASCT prioritises the wellbeing of indigenous and local communities, cultural preservation and environmental sustainability while providing secure economic returns to key stakeholders. 

Today, tourism is New Zealand’s largest and fastest growing industry; total tourism expenditure is forecast to increase from $34.7b in 2016, an increase of 12.2% from the previous year, to $41b by 2025.  The natural landscape is the main reason why international travellers visit New Zealand, followed by an interest in Māori culture (Tourism Industry Association, 2015).  Unfortunately, there is sparse funding for Māori tourism development (New Zealand Māori Tourism, 2015; Goulter, 2015) compared to mainstream tourism and Māori are the most impoverished people in New Zealand (Statistics New Zealand, 2011).  Cultural tourism has existed in New Zealand for more than 150 years and has a vital role in New Zealand’s tourism industry.  Te Kīngitanga and the Waikato River are the main aspects that make Waikato unique in New Zealand, however, there is very little cultural tourism in the region.  As a descendant of Waikato-Tainui, I work with my people at the marae level to inform tribal governance about the significant opportunities available to whānau compared to current mainstream investments by the tribe. 

Using Kaupapa Māori and critical realism, the methods used in this research include an investigation of government tourism organisations, interviews with Waikato-Tainui governance groups, case studies at Tūrangawaewae and Te Awamārahi Marae, case studies at fourteen successful Māori tourism providers throughout New Zealand, and an international comparison of best practices in indigenous tourism.

text: Investment in Authentic Sustainable Cultural Tourism : Planning for the Future Benefit of Waikato-Tainui along the Waikato River, Case Studies at Tūrangawaewae and Te Awamārahi Marae “Tērā ōkū hoa kei ngā tōpito e whā o te ao - My friends will come from all parts of the world” – Kīngi Tāwhiao 1822-1894

This doctorate is guided by the visions of the second Māori king, Kīngi Tāwhiao, which reflect the importance of global connections, relationships (Turongo House, 2000:109) and investment to achieve the ultimate goal of authentic or ‘true’ sustainability throughout the world.  The strategic process will require a balance between humans and the natural environment to ensure long-term growth and survival.  This research will investigate whether investment in Authentic Sustainable Cultural Tourism (ASCT) will provide long-term and sustainable benefits for tribes throughout New Zealand, using a study of Waikato-Tainui.  ASCT, if practiced correctly, must be driven by whānau of marae, hapū and iwi alongside ideal long-term partners to ultimately achieve indigenous autonomy. ASCT prioritises the wellbeing of indigenous and local communities, cultural preservation and environmental sustainability while providing secure economic returns to key stakeholders. 

Today, tourism is New Zealand’s largest and fastest growing industry; total tourism expenditure is forecast to increase from $34.7b in 2016, an increase of 12.2% from the previous year, to $41b by 2025.  The natural landscape is the main reason why international travellers visit New Zealand, followed by an interest in Māori culture (Tourism Industry Association, 2015).  Unfortunately, there is sparse funding for Māori tourism development (New Zealand Māori Tourism, 2015; Goulter, 2015) compared to mainstream tourism and Māori are the most impoverished people in New Zealand (Statistics New Zealand, 2011).  Cultural tourism has existed in New Zealand for more than 150 years and has a vital role in New Zealand’s tourism industry.  Te Kīngitanga and the Waikato River are the main aspects that make Waikato unique in New Zealand, however, there is very little cultural tourism in the region.  As a descendant of Waikato-Tainui, I work with my people at the marae level to inform tribal governance about the significant opportunities available to whānau compared to current mainstream investments by the tribe. 

Using Kaupapa Māori and critical realism, the methods used in this research include an investigation of government tourism organisations, interviews with Waikato-Tainui governance groups, case studies at Tūrangawaewae and Te Awamārahi Marae, case studies at fourteen successful Māori tourism providers throughout New Zealand, and an international comparison of best practices in indigenous tourism.

year: 2018