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Scientists and resource managers need to characterise lake water quality at

increasingly fine temporal and spatial scales to provide information to lake users and to monitor water quality in relation to water quality targets. Historically, managers have relied on manual sampling which can be time consuming and costly, however, more recently satellite remote sensing has been adopted to provide cost effective high spatial resolution monitoring (e.g., Olmanson et al. 2008). The theoretical basis of remote sensing of water quality is that the inherent optical properties (IOPs) and concentrations of optically active constituents (OACs) found in water determine the reflected light emitted by water bodies. The main optically active constituents in lake water are phytoplankton, non-living suspended organic particles and minerals

(collectively termed tripton), and coloured dissolved organic matter (CDOM) (Dekker et al. 2002a). Suspended sediment (SS) refers to the totality of suspended tripton and living seston.

While remote sensing can only contribute direct information on optically active water quality parameters, it has the advantage of greatly increasing spatial resolution of monitoring, compared with traditional in situ methods. In the past, Landsat has been the sensor of choice for monitoring inland water quality in small lakes, due to its high spatial resolution, and the freely available archive of data spanning more than 40 years. The Landsat 7 satellite has the Enhanced Thematic Mapper (ETM+) sensor with 30 m spatial resolution which compares favourably with ocean colour sensors (250 - 1000 m resolution), and provides sufficient resolution to monitor spatial variations in small lakes.

35 Whilst Landsat remote sensing provides high spatial resolution, spectral resolution is low, which can result in individual bands containing spectrally opposing absorption and scattering features of optically active constituents (Bukata et al. 1995). The low spectral resolution and low signal to noise ratio (SNR) limit the complexity of any derived algorithms and reduce the ability to discriminate between chl a and tripton (Dekker and Peters 1993; Matthews 2011).

Measurements of total radiance over water from satellite sensors may comprise up to 90% atmospheric path radiance, making it difficult to quantify radiance from

optically active constituents of water (Vidot and Santer 2005). Atmospheric correction is therefore essential for the standardisation of a time series of images. Atmospheric path radiance originates from scattering of solar radiation by air molecules and aerosols, which can also attenuate radiation through absorption. The complexity of aerosol particulate distributionspresents a major challenge for atmospheric correction (Bukata et al. 1995). Atmospheric correction through accurate numerical radiative transfer modelling of the atmosphere requires data on atmospheric conditions at the time of image capture (e.g., water vapour, aerosol optical depth (AOD), and ozone) and has become increasingly commonplace with the operation of satellites such as MODIS Terra and Aqua which can be used to derive atmospheric conditions on a daily basis.

In a recent review of algorithms for the remote sensing of OACs (Matthews, 2011), 27 studies were identified which used Landsat ETM+ or Thematic Mapper (TM) satellite data to retrieve chl a, turbidity, SS, or Secchi depth spatial distributions. The review showed that in some instances some of these constituents had high

coefficients of determination with satellite reflectance (e.g., r2 = 0.99 for the retrieval

of both SS (Dekker et al. 2002), and chl a (Giardino et al. 2001)). Only a small number of examples exist, however, of remote sensing of inland water quality at landscape scales (e.g., Lillesand et al. 1983; Dekker et al. 2001; Kloiber et al. 2002; Koponen 2006), and even fewer applications have considered time series of images to attempt to determine temporal changes in water quality (e.g., Dekker et al. 2001; Olmanson et al. 2008). A major barrier to time series analysis of Landsat imagery is the time required to process large numbers of images. Automation of image

36 processing could result in higher productivity, minimize user error, and potentially enable near real-time image processing.

Of the Landsat studies cited above, only a few examine the underlying physical basis for the development of statistical algorithms (e.g., Dekker and Peters 1993; Gitelson et al. 1996; Brivio et al. 1997; Dekker et al. 2002). The study of Allan et al. (2011) is typical of many empirically-based Landsat studies of remote sensing of water

quality, and while useful for determining spatial distributions of chl a, any derived algorithms have limited applicability beyond the spatial and temporal domain that was used in calibration within in situ samples, especially in more optically complex environments.

Bio-optical modelling algorithms have potential to more clearly differentiate OACs. Bio-optical models have generally been applied to high spectral resolution satellite imagery, such as that from MODIS, and to hyperspectral data, both of which allow precise measurement of spectral slopes. However, successful applications of

simplified bio-optical models for single water quality parameter retrieval exist using broadband sensors where the optically active constituent dominates the absorption and scattering budget. For example semi-analytical models have been used to map SS concentrations using Landsat and Spot satellite data (Dekker et al. 2002). The advantage of bio-optical models is that in situ data are not needed at the time of image capture, allowing for multi-site and multi-sensor comparisons through time. Dekker et al. (2002) found that bio-optical algorithms for SS were more reliable and temporally robust than empirical algorithms. Their study also found that random point samples within the synoptic estimations for SS were on average within a mean value of ±20-30% of in situ grab-samples, however, in the worst case scenario values they deviated by as much as 4000%.

The Rotorua lakes (North Island, New Zealand) include a number of lakes within a relatively small geographical area, which are subject to a regular programme of water quality monitoring (Burns et al. 2005). They provide an ideal location to investigate remote sensing of water quality within and between lakes. In order to construct robust algorithms for chl a estimation, algorithms must be validated both

37 temporally and spatially over a time series of images. For algorithms to be robust, some knowledge of the physical mechanisms underpinning algorithms function is needed, especially in terms of identifying potential sources of error. The objectives of this study were to (1) determine the underlying physical mechanisms by which Landsat may be used to distinguish changes in chl a using a bio-optical model, (2) determine the accuracy of different remote sensing models in estimating chl a over a wide range of concentrations within and between lakes, and (3) develop an

automated image processing methodology to enable the processing of large numbers of images. A radiative transfer-based atmospheric correction was used with

empirical and semi-analytical modelling for chl a retrieval. The results from this study allowed a synoptic representation of chl a in the Rotorua lakes, both spatially and temporally.

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