title: Landsat remote sensing of chlorophyll a concentrations in central North Island lakes of New Zealand

authors: Allan, Mathew Grant

subjects: Landsat Enhanced Thematic Mapper

abstract: We investigated the use of Landsat Enhanced Thematic Mapper (ETM) imagery to synoptically quantify chlorophyll a (chl a) concentrations. Two adjoining pairs of images of the central North Island were acquired on two different days in summer and spring 2002. 6sv atmospheric correction was compared to the cosine of the solar zenith angle correction (COST) dark object subtraction (DOS) atmospheric correction. The highest correlation between 6sv ln(Band 3) water surface reflectance and ln(chl a) was found in the 24 January 2002 image (r² = 0.954). 6sv atmospheric correction was preferable to COST-DOS as it gave more realistic reflectance values at a clear-water reference site and produced the highest correlation coefficient. The results from this investigation suggest that remote sensing provides a valuable tool to assess temporal and spatial distributions of chl a in unmonitored areas within lakes and that predictions may also be extended to unmonitored lakes within the domain of satellite image capture.

text: Landsat remote sensing of chlorophyll a concentrations in central North Island lakes of New Zealand We investigated the use of Landsat Enhanced Thematic Mapper (ETM) imagery to synoptically quantify chlorophyll a (chl a) concentrations. Two adjoining pairs of images of the central North Island were acquired on two different days in summer and spring 2002. 6sv atmospheric correction was compared to the cosine of the solar zenith angle correction (COST) dark object subtraction (DOS) atmospheric correction. The highest correlation between 6sv ln(Band 3) water surface reflectance and ln(chl a) was found in the 24 January 2002 image (r² = 0.954). 6sv atmospheric correction was preferable to COST-DOS as it gave more realistic reflectance values at a clear-water reference site and produced the highest correlation coefficient. The results from this investigation suggest that remote sensing provides a valuable tool to assess temporal and spatial distributions of chl a in unmonitored areas within lakes and that predictions may also be extended to unmonitored lakes within the domain of satellite image capture.

year: 2011

title: Lie theory and separation of variables. 11. The EPD equation

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: We show that the Euler–Poisson–Darboux equation {∂tt -∂rr – [(2m+1)/r]∂r}Ө=0
separates in exactly nine coordinate systems corresponding to nine orbits of symmetric second-order operators in the enveloping algebra of SL(2,R), the symmetry group of this equation. We employ techniques developed in earlier papers from this series and use the representation theory of SL(2,R) to derive special function identities relating the separated solutions. We also show that the complex EPD equation separates in exactly five coordinate systems corresponding to five orbits of symmetric second-order operators in the enveloping algebra of SL(2,C).

text: Lie theory and separation of variables. 11. The EPD equation We show that the Euler–Poisson–Darboux equation {∂tt -∂rr – [(2m+1)/r]∂r}Ө=0
separates in exactly nine coordinate systems corresponding to nine orbits of symmetric second-order operators in the enveloping algebra of SL(2,R), the symmetry group of this equation. We employ techniques developed in earlier papers from this series and use the representation theory of SL(2,R) to derive special function identities relating the separated solutions. We also show that the complex EPD equation separates in exactly five coordinate systems corresponding to five orbits of symmetric second-order operators in the enveloping algebra of SL(2,C).

year: 1976-03

title: Creating an environment to inform, build, and sustain a Māori health research workforce

authors: Barrett, Nikki Maree

subjects: Kaupapa Māori

abstract: Ensuring the growth and development of the Māori health research workforce is key to achieving health equity for Māori and enabling positive change for all New Zealanders. The purpose of this study was to identify enablers and barriers to research for Māori staff in a large health organisation, and to understand how research is developed and undertaken. A Kaupapa Māori mixed-methods study was undertaken, using an electronic survey comprised of quantitative data and open-ended responses delivered to all Māori staff at the Waikato District Health Board. Following the survey were 10 one on one interviews. Survey data were analysed using descriptive statistics and open-ended responses summarised. A descriptive thematic analysis was undertaken of the interview data. Each of the interview responses was coded and five themes emerged. Frontline Māori staff affirmed their desire to conduct, design, and undertake health research. Challenges to staff included a lack of information on research opportunities, unclear processes for initiating research, and lack of support and resource. The evidence from participants provides insights into Māori health research priorities, considerations for those wanting to undertake research, and solutions for informing, building, and sustaining the Māori health research workforce.

text: Creating an environment to inform, build, and sustain a Māori health research workforce Ensuring the growth and development of the Māori health research workforce is key to achieving health equity for Māori and enabling positive change for all New Zealanders. The purpose of this study was to identify enablers and barriers to research for Māori staff in a large health organisation, and to understand how research is developed and undertaken. A Kaupapa Māori mixed-methods study was undertaken, using an electronic survey comprised of quantitative data and open-ended responses delivered to all Māori staff at the Waikato District Health Board. Following the survey were 10 one on one interviews. Survey data were analysed using descriptive statistics and open-ended responses summarised. A descriptive thematic analysis was undertaken of the interview data. Each of the interview responses was coded and five themes emerged. Frontline Māori staff affirmed their desire to conduct, design, and undertake health research. Challenges to staff included a lack of information on research opportunities, unclear processes for initiating research, and lack of support and resource. The evidence from participants provides insights into Māori health research priorities, considerations for those wanting to undertake research, and solutions for informing, building, and sustaining the Māori health research workforce.

year: 2023