The Science of the Total Environment 288 Ž2002. 167᎐181 Biological and chemical factors influencing shallow lake eutrophication: a long-term study S.S.S. Lau a,U , S.N. Lane b a Department of Geography, Uni¨ ersity of Cambridge, Downing Place, Cambridge CB2 3EN, UK b School of Geography, Uni¨ ersity of Leeds, Leeds LS2 9JT, UK Received 9 April 2001; accepted 20 June 2001 Abstract The focus of eutrophication research has tended to be upon short-term and experimental studies. However, given the range of factors that can influence eutrophication dynamics, and that these matter over a range of time scales, some discrete, some continuous, eutrophication dynamics may only be fully investigated when long-term, time-series data are available. The present study aims to evaluate the interacting effects of abiotic processes and biotic dynamics in explaining variations of phytoplankton biomass in a eutrophic shallow lake, Barton Broad ŽNorfolk, UK. using a long-term data set. Multivariate statistical analysis shows that the inter-relationships between phytoplankton variability, nutrient and grazing factors were highly sensitive to seasonal periodicity. In spring phytoplankton biomass was related to phosphorus, nitrogen and silicon. In summer phytoplankton biomass was associated with phosphorus, nitrogen and zooplankton. In autumn phytoplankton was related to phosphorus, nitrogen, silicon and zooplankton. In winter, no significant relationship could be established between phytoplankton and environmental variables. This paper improves our understanding of the governing role of nitrogen, phosphorus, silicon and zooplankton upon phytoplankton variability, and hence, improves management methods for eutrophic lakes. 䊚 2002 Elsevier Science B.V. All rights reserved. Keywords: Daphnia; Norfolk Broads; Phytoplankton; Temporal variability 1. Introduction The focus of eutrophication research has tended to be upon the pattern and cause of variability in eutrophication and the subsequent biological response Že.g. Weyhenmeyer et al., 1999.. It has made particular reference to changes U Corresponding author. Tel.: q44-1223-333399; fax: q441223-333392. E-mail address: [email protected] ŽS.S.S. Lau.. in phytoplankton biomass and tended to use short-term and experimental studies Že.g. PintoCoelho, 1998.. However, given the range of factors that can influence eutrophication dynamics, and that these matter over a range of time scales, some discrete, some continuous, eutrophication dynamics may only be fully investigated when long-term, time-series data are available ŽDegobbis et al., 2000.. In particular, long-term investigations may be crucial to tackling the problems arising from the vast number of interacting vari- 0048-9697r02r$ - see front matter 䊚 2002 Elsevier Science B.V. All rights reserved. PII: S 0 0 4 8 - 9 6 9 7 Ž 0 1 . 0 0 9 5 7 - 3 168 S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 ables involved in eutrophication processes and the relative singularity of particular eutrophic events. In particular, long-term investigation may provide a realistic means of establishing variable interactions in ecosystem studies ŽStraile and Adrian, 2000., leading to identification of certain common characteristics, in particular predator᎐prey interactions and nutrient cycling in relation to lake ecosystem behaviour ŽAdrian et al., 1995; Adrian, 1997; Kozerski et al., 1999.. With this in mind, this paper uses data from Barton Broad ŽNorfolk, UK., which has a relatively long-term monitoring record. The study attempts to investigate variability in abiotic and biotic processes and their interactions in shallow lake eutrophication. The analysis and evaluation of the long-term data are permitted by more powerful multivariate statistical modelling for dealing with large, inter-relating data collected over a large temporal scale, and by the growing emphasis on nitrogen-limitation of phytoplankton biomass ŽLau, 2000.. The aims of the study were: Ža. to characterise phytoplankton dynamics with an array of interrelated abiotic and biotic variables; Žb. to identify the controlling factorŽs. governing changes in phytoplankton biomass; and Žc. to elucidate interactions between bottom-up Žnutrient manipulation. and top-down Žgrazing effects . upon the phytoplankton dynamics of the lake ecosystem in the context of temporal variability. Specifically, the paper considers the relative role of nutrient Ži.e. nitrogen, phosphorus and silicon. and grazing Ži.e. zooplankton and Daphnia. factors and their interactions upon phytoplankton biomass with respect to seasonal periodicity. 2. Materials and methods flora, supporting a diverse fauna of invertebrates ŽMason, 1990.. The area as a whole at the time was outstanding for its wildlife interest, but now maintains a large tourist industry, based mainly upon boating holidays ŽMason, 1996.. Since the late 1950s, conditions in the Norfolk Broads have deteriorated. Most of the Broads are no longer clear and the majority of the Broads have undergone severe eutrophication with aquatic plants increasingly replaced by unwanted concentrations of phytoplankton ŽBoorman and Fuller, 1981.. This was associated with the increase of human activities in the catchment area, leading to enhanced nutrient runoff due to agricultural intensification. Since 1977, restoration measures to deal with eutrophication have been adopted, including external nutrient reduction, suction dredging, isolation, and biomanipulation. In the case of Barton Broad, despite attempted restoration by nutrient reduction, the water has remained turbid and submerged macrophytes have not re-established themselves ŽPhillips and Chilvers, 1991.. The Broad, amongst others in the region, has been researched intensively for some time. It has a water surface area of 72 ha and a water volume of 804 = 10 3 m3. It is a shallow Ž1᎐2-m water depth., highly eutrophic lake that previously had a major phosphorus supply via the sewage treatment works that discharges into the River Ant. The bottom of the Broad consists of a fine, organic mud, overlying peat. Barton Broad itself lies in the main valley of the River Ant, a shallow, slow flowing, navigable river which forms the principal inflow and outflow of the Broad ŽPhillips, 1984.. During the winter, the lake is effectively flushed, with a water residence time of approximately ten days. During the summer, when river discharge is reduced, water residence times are thought to be 20᎐30 days ŽPhillips and Kerrison, 1991.. 2.1. Pollution history of the study site 2.2. Sampling and data retrie¨ al Barton Broad Ž52⬚44⬘N, 1⬚30⬘E; Fig. 1. is the second largest broad in the Norfolk Broads, UK. The Broad was formed in the 14th century AD when peat workings in the area were flooded ŽMoss, 1987.. At the end of the 19th century, the lake contained an abundant and diverse aquatic Data were retrieved and compiled from a database held at the Haddiscoe Laboratory of the Environment Agency near Great Yarmouth, Norfolk ŽUK.. Sampling was carried out both by Anglian Water and the Environment Agency, at S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 169 Fig. 1. Map of Barton Broad ŽNorfolk, UK.. an interval of weekly to bi-weekly in March᎐ August and monthly in September᎐February for the period 1983᎐1993. Surface water samples were taken as representative of the entire water column, which is well mixed as a result of the shallow water depth. Five water samples taken from across the lake at each sampling date, were collected to form a composite sample for all analyses. Samples were filtered through Whatman GFrC filters at the time of collection. Chlorophyll a was determined by extraction with cold 90% acetone ŽMoss, 1967.. Zooplankton were sampled using a 10.3-cm diameter tube to collect an integrated sample of a 1-m water column 170 S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 Table 1 A summary of methodology ŽStrickland and Parsons, 1968; Mackereth et al., 1978. Parameter Symbol Unit y1 Total oxidised nitrogen TON mg l Ammoniacal nitrogen Total phosphorus Soluble reactive phosphorus Reactive dissolved silicon NH4 TP SRP Si mg ly1 mg ly1 mg ly1 mg ly1 below the water surface. Animals were removed by passing the collected water through a 65-m mesh size nylon plankton net and preserved in ) 70% ethanol. The samples were stored at 4⬚C and were normally analysed within a day. Maximum storage time was less than 3 days after sampling. Table 1 shows a summary of the analytical methodology for nutrients. The methodology of sample collection and analysis are detailed in Phillips and Kerrison Ž1991. and detection limits in Holdway et al. Ž1978.. 2.3. Data preparation Average annual and seasonal data, based on pooled samples, were determined ŽTables 2 and 3.. The phytoplankton biomass were represented by the chlorophyll a concentration. Among the zooplankton, Daphnia play a key role in the control of phytoplankton density ŽDeMott and Kerfoot, 1982; Vanni, 1986.. Thus, phytoplankton grazers Žcounts. were represented by two groups: total zooplankton ŽZoo.; and Daphnia ŽDap.. Nutrients were represented by three groups: phosphorus wtotal phosphorus ŽTP., and soluble reactive phosphorus ŽSRP.x; nitrogen wtotal oxidised nitrogen ŽTON., and ammoniacal nitrogen ŽNH 4 .x; and silicon wreactive dissolved silicon ŽSi.x. On some occasions, a value for a particular parameter was not obtainable. The original incomplete data sets Ži.e. with missing data. were used in the study, without interpolation of missing values. 2.4. Statistical analysis The structure of the environmental variability in the data set was explored using a multivariate Methodology Sulphanilamide method for nitrate; Brucine method for nitrite Berthelot method Acid digestion and molybdenum blue method Molybdenum blue method Reaction with acid sodium molybdate statistical approach. Two parametric multivariate analyses Ži.e. factor and regression analyses . were employed to examine the possible influence of various environmental variables on phytoplankton. These methods are widely used in ecological studies and have proved to be useful for understanding interactions between the ecological factors that influence plankton communities in highly complex systems ŽVan Tongeren et al., 1992; Romo and Tongeren, 1995; Romo et al., 1996.. However, it has been argued that time-series data collected through monitoring programs inherently have characteristics Ži.e. autocorrelation between two consecutive data points. that violate the basic assumptions of parametric procedures ŽMomen et al., 1996.. The problem is overcome by the fact that life cycle of phytoplankton is a matter of a few days Ži.e. less than a week; Reynolds, 1984., leading to minimal collinearity. Preliminary data manipulation, including removal of seasonality effects by separate analysis of spring, summer, autumn and winter data, and standardisation Žby subtracting the mean and dividing by the S.D.. ŽManly 1986., precluded the need for non-parametric procedures. Observations that are not spaced equally over time precluded the use of time-series analysis. Factor analysis Žbased on principal components analysis ., and simple and multiple linear regression analyses were undertaken. Factor analysis was particularly useful for considering several related random environmental variables simultaneously, and so identifying a new, smaller set of uncorrelated variables that accounted for a large proportion of the total variance in the original variables. In order to account for nutrient and grazing factors in phytoplankton variability, seven S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 171 Table 2 Chlorophyll a Žg ly1 . and nutrients Žmg ly1 . in Barton Broad in 1983᎐1993 Chl a TON NH4 TP SRP Si 1983᎐1993 a 130 " 92.1 Ž1.60᎐542.b 230c 1.15" 1.17 Ž0.10᎐10.2. 206 0.08" 0.12 Ž0.01᎐0.72. 221 0.150" 0.084 Ž0.028᎐0.472. 227 0.015" 0.025 Ž0.000᎐0.180. 225 9.56" 6.31 Ž0.02᎐25.0. 206 1983 91.1" 54.1 Ž3.70᎐234. 24 1.19" 0.98 Ž0.10᎐2.60. 12 0.10" 0.11 Ž0.01᎐0.50. 25 0.130" 0.043 Ž0.075᎐0.211. 24 0.015 " 0.034 Ž0.000᎐0.153. 23 7.55" 5.07 Ž0.21᎐15.8. 21 1984 127 " 50.9 Ž26.0᎐209. 19 1.03" 0.95 Ž0.10᎐3.50. 16 0.03" 0.03 Ž0.01᎐0.08. 17 0.164" 0.073 Ž0.038᎐0.314. 19 0.013" 0.018 Ž0.000᎐0.069. 19 5.14" 5.60 Ž0.02᎐16.5. 17 1985 97.1" 62.1 Ž11.0᎐215. 22 2.08" 2.36 Ž0.10᎐10.2. 19 0.13" 0.14 Ž0.01᎐0.46. 20 0.093" 0.054 Ž0.028᎐0.243. 20 0.038" 0.047 Ž0.000᎐0.180. 18 6.23" 4.82 Ž0.21᎐13.7. 20 1986 136 " 62.7 Ž39.0᎐258. 21 1.09" 1.13 Ž0.10᎐4.50. 20 0.06" 0.06 Ž0.01᎐0.26. 18 0.158" 0.058 Ž0.060᎐0.282. 20 0.009" 0.015 Ž0.001᎐0.060. 21 9.41" 6.58 Ž0.21᎐21.2. 14 1987 91.3" 57.7 Ž7.10᎐225. 19 1.38" 0.97 Ž0.10᎐3.40. 19 0.14" 0.19 Ž0.02᎐0.60. 19 0.116" 0.064 Ž0.028᎐0.259. 19 0.011" 0.018 Ž0.001᎐0.067. 19 9.21" 4.42 Ž2.57᎐16.7. 17 1988 138 " 87.8 Ž10.8᎐307. 20 1.61" 1.02 Ž0.30᎐3.40. 17 0.06 " 0.06 Ž0.01᎐0.24. 18 0.122" 0.056 Ž0.049᎐0.268. 20 0.005" 0.005 Ž0.001᎐0.023. 20 10.6" 4.51 Ž2.57᎐16.3. 16 1989 124 " 67.1 Ž1.60᎐255. 21 1.00" 0.91 Ž0.50᎐4.09. 21 0.05" 0.05 Ž0.01᎐0.19. 21 0.152" 0.072 Ž0.054᎐0.283. 21 0.011" 0.010 Ž0.001᎐0.037. 21 12.5" 6.47 Ž2.02᎐25.0. 21 1990 131 " 119 Ž6.30᎐502. 22 0.77" 0.54 Ž0.50᎐2.30. 20 0.09" 0.15 Ž0.02᎐0.72. 21 0.180" 0.123 Ž0.053᎐0.472. 22 0.032" 0.034 Ž0.002᎐0.127. 22 9.83" 6.70 Ž0.08᎐19.5. 19 1991 169 " 126 Ž27.0᎐533. 22 0.75" 0.86 Ž0.10᎐2.82. 22 0.06" 0.09 Ž0.01᎐0.30. 22 0.198" 0.122 Ž0.069᎐0.466. 22 0.015" 0.019 Ž0.001᎐0.090. 22 12.1" 8.13 Ž0.20᎐23.7. 22 1992 187 " 106 Ž15.6᎐364. 20 0.82" 0.97 Ž0.20᎐3.23. 20 0.06" 0.11 Ž0.02᎐0.47. 20 0.183" 0.096 Ž0.054᎐0.386. 20 0.007" 0.004 Ž0.004᎐0.017. 20 9.29" 5.68 Ž1.07᎐18.4. 19 1993 143 " 133 Ž18.4᎐542. 20 1.10" 0.88 Ž0.50᎐2.75. 20 0.13" 0.19 Ž0.02᎐0.62. 20 0.150 " 0.067 Ž0.066᎐0.267. 20 0.011" 0.010 Ž0.004᎐0.040. 20 12.5" 6.31 Ž0.16᎐21.4. 20 a Data are mean " S.D. Bracket values are the range of variation. c Denotes the number of samples. b S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 172 Table 3 Seasonal variation of chlorophyll a Žg ly1 . and nutrients Žmg ly1 . in Barton Broad in 1983᎐1993 Chl a a TON NH4 TP SRP Si Winter 31.2" 26.2 Ž1.60᎐116.b 32c 2.57" 0.79 Ž0.79᎐4.40. 30 0.20" 0.15 Ž0.01᎐0.54. 31 0.081" 0.036 Ž0.028᎐0.211. 32 0.024" 0.030 Ž0.001᎐0.153. 32 15.0" 2.61 Ž5.99᎐19.7. 29 Spring 112 " 56.0 Ž27.0᎐272. 64 1.46" 1.54 Ž0.20᎐10.2. 55 0.04" 0.05 Ž0.01᎐0.29. 58 0.112" 0.042 Ž0.028᎐0.205. 64 0.009" 0.026 Ž0.000᎐0.180. 62 4.81" 4.03 Ž0.08᎐13.1. 56 Summer 173 " 106 Ž6.30᎐542. 79 0.57" 0.61 Ž0.10᎐3.40. 70 0.07" 0.13 Ž0.01᎐0.72. 79 0.205" 0.085 Ž0.080᎐0.472. 77 0.017" 0.022 Ž0.000᎐0.090. 79 9.76" 6.79 Ž0.02᎐25.0. 72 Autumn 147 " 81.3 Ž18.0᎐375. 55 0.77" 0.56 Ž0.10᎐2.20. 51 0.07" 0.11 Ž0.01᎐0.62. 53 0.158" 0.088 Ž0.062᎐0.466. 54 0.013" 0.022 Ž0.000᎐0.127. 52 11.5" 5.57 Ž0.21᎐20.3. 49 a Data are mean " S.D. Bracket values are the range of variation. c Denotes the number of samples. b variables including TON, NH 4 , TP, SRP, Si, Dap and Zoo, were used for FA. Non-normality of the data was treated by taking a logarithm or square root, whenever appropriate ŽHair et al., 1998.. A correlation matrix of these variables was computed and factor loadings were determined to explore the nature of variation and principal patterns amongst them ŽReyment and Joreskog, 1993.. Any factor with an eigenvalue greater than unity was selected as significant ŽCattell, 1978.. For interpretation purposes, the first two most significant factor axes were portrayed as biplots, and the loadings of all significant factor axes Ži.e. eigenvalue ) 1. were tabulated. The eigenvalues, which give the variance of the factor components, were used as criteria for determining significance. For easier interpretation, factor axes are modified by ‘factor rotation’ using varimax to maximise the total variance of the projections of the points on the factor axes. To evaluate relationships between these environmental variables and phytoplankton biomass, a backward multiple regression analysis was computed using phytoplankton biomass Ži.e. chlorophyll a. as the dependent variable, and the factors obtained by FA as the independent variables, in order to examine the controlling role of any particular parameter on phytoplankton biomass. The factors are orthogonal, so avoiding problems of collinearity in regression analysis. The method consists of starting with all independent factor scores and then removing insignificant Ž P ) 0.05. factor scores one at a time until the remaining factor scores each explained a significant proportion of the total variance in the data set. It is recognised that relationships identified by this statistical approach do not necessarily signify cause and effect but the multivariate method can be a useful explanatory aid to the interpretation of ecological data ŽLudwig and Reynolds, 1988.. Criteria for significance were set at P - 0.05. Table 4 shows a matrix of Pearson’s correlation coefficients between all the variables. 3. Results 3.1. Long-term patterns of phytoplankton biomass and nutrient ¨ ariables During the 11-year period Ž1983᎐1993., there were 257 sampling dates, of which 153 were com- S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 173 Table 4 Correlation coefficient matrix Entire period Winter Spring Summer Autumn a b Chl a Dap NH4 Si Dap NH4 Si SRP TON TP Zoo y0.105 y0.441b y0.109 y0.109 y0.453b 0.713b 0.079 0.118 y0.106 0.091 y0.158a 0.026 0.500b 0.253b 0.182b 0.264b y0.277b y0.037 0.217b 0.125 0.154a y0.324b 0.003 0.178b 0.041 Dap NH4 Si SRP TON TP Zoo 0.486 y0.378a y0.182 y0.324 y0.264 y0.053 y0.155 y0.376 y0.277 y0.331 0.012 y0.062 y0.126 0.213 y0.070 0.044 y0.033 0.265 y0.029 y0.382a y0.016 y0.202 y0.177 0.794b 0.035 y0.276 y0.094 Dap NH4 Si SRP TON TP Zoo 0.404b y0.322a y0.678b y0.154 y0.170 0.548b 0.016 y0.086 y0.431b y0.137 y0.344a 0.372b 0.325a 0.361b 0.199 0.007 y0.155 0.223 0.329a 0.317a y0.542b 0.115 0.039 y0.260a y0.018 y0.464b y0.096 0.164 Dap NH4 Si SRP TON TP Zoo y0.434b y0.370b 0.160 y0.037 y0.254a 0.688b y0.291a 0.309b y0.244a 0.163 0.028 y0.347b 0.523b y0.064 0.286a 0.151 y0.240b 0.248a y0.011 y0.015 0.366b y0.163 y0.118 0.189 0.213 y0.285b y0.044 y0.146 Dap NH4 Si SRP TON TP Zoo 0.288a y0.488b y0.198 y0.136 y0.585b 0.618b y0.069 y0.271 y0.493b y0.189 y0.238 0.030 0.427b 0.234 0.115 0.446b y0.295a y0.091 0.457b 0.158 0.248 y0.318a 0.065 0.475b y0.218 y0.450b 0.090 y0.228 SRP TON y0.496b y0.294b TP 0.133 y0.162 P- 0.01. P- 0.05. plete and 104 lacked some data. Table 2 shows the annual mean and S.D. of selected key environmental parameters. Concentrations of chlorophyll a and different nutrient variables over the study period were highly variable. The mean value of annual standing crop over the period was 130 g Chl a ly1 , with the lowest value of 91.1 g Chl a ly1 in 1983 and the highest value of 187 g Chl a ly1 in 1992. Following a standard trophic level classification ŽOrganisation for Economic Co-operation Development, 1982., 27% of years would be classed as eutrophic ŽTP 40᎐100 g ly1 . and 73% would be classed as hypertrophic ŽTP ) 100 g ly1 .. With regard to long-term inter-annual variations, there were no significant negative trends in TP and SRP ŽFig. 2., although a 90% 174 S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 Fig. 2. Time series data in 1983᎐1993 of: Ža. SRP; and Žb. TP. reduction of external P loading has been achieved ŽOsborne, 1981; Phillips and Chilvers, 1991.. This is reflected in no significant reduction in chlorophyll a concentration ŽFig. 3.. The percentage reduction of external P loading was well above the criterion reported by other researchers for reduction in chlorophyll a concentration and an associated increase of water transparency: it is thought that a change in trophic category requires a 60᎐80% reduction in external TP loading ŽOrganisation for Economic Co-operation Development, 1982; Forsberg, 1985.. The water chemistry also revealed that the lake had a high level of oxidised nitrogen species; the mean TON concentration was 1.15 mg ly1 over the 11-year period Žranging from 0.75 mg ly1 in S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 175 Fig. 3. Time series data in 1983᎐1993 of Chl a. 1991 to 2.08 mg ly1 in 1985., but a relatively low average NH 4 concentration of 0.08 mg ly1 over the period was observed, with a minimum of 0.03 mg ly1 in 1984 and a maximum of 0.14 mg ly1 in 1987. Mean Si concentration over the period was as high as 9.56 mg ly1 , with a minimum of 5.14 mg ly1 in 1984 and a maximum of 12.5 mg ly1 in both 1989 and 1993. 3.2. Seasonal patterns of limiting nutrients With reference to seasonal periodicity of phytoplankton biomass over the 11-year period ŽTable 3., the highest concentration was obtained in summer with a mean of 173 g Chl a ly1 , followed in a descending order by 147 g Chl a ly1 in autumn, 112 g Chl a ly1 in spring, and 31.2 g Chl a ly1 in winter. This seasonal trend coincided with those of mean TP concentrations of 0.205, 0.158, 0.112 and 0.081 g ly1 , respectively. It appears to suggest that phytoplankton biomass increases in response to increasing TP concentration. This indicates possibly a close interacting relationship between Chl a and TP in terms of resource limitation ŽLund and Reynolds, 1982., as was indicated by a significant correlation Ž R 2 s 0.47, P- 0.001.. 3.3. Forcing ¨ ariables and phytoplankton dynamics Fig. 4. Biplot of the first two axis scores of factor analysis over the 11-year period Žws winter; ps spring; s s summer; a s autumn.. Owing to possible temporal variation in eutrophication, the pooling of all data from the entire 11-year period to examine forcing variables in relation to phytoplankton biomass may be problematic; it may have weakened the effect of any particular variable in a particular time period 176 S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 that may otherwise have a dominating effect. In particular, grazing and nutrient limitation of phytoplankton are seasonal-dependent Že.g. Vanni and Temte, 1990.. Abdul-Hussein and Mason Ž1988. showed that temperature differences may be associated with 67% of the variation in phytoplankton biomass. Thus, it is important to explore eutrophication variability in terms of seasonal changes. spring ŽMarch᎐May., summer ŽJune᎐August., and autumn ŽSeptember᎐November. for the first two axes. The classification matrix showed that 54% of all data were correctly classified according to the four seasons, indicating seasonal variability. Factor and regression analyses were performed separately for each season. 3.4. Eutrophication ¨ ariability in relation to seasonal change Factor analysis of winter data Žcompleted cases used s 14, missing cases s 19. showed that the eigenvalues for first two factors were 2.7 and 1.7, respectively. Table 5 presents a summary of factor loadings. F-1 and F-2 accounted for 54% of the total variance and their loadings were plotted in a bi-plot ŽFig. 5a.. Both factors were associated with both biotic ŽDap. and abiotic ŽTP, TON and Si. variables. F-1 which captured 28% of the total variation, was related to the major nutrient ŽTP. Given that temporal variations of phytoplankton biomass shifted in tandem with ambient environmental parameters, a linear discriminant analysis was performed to determine if the differences between the assigned four seasons were significant. Fig. 4 shows the distribution of the score coefficients of winter ŽDecember᎐February., 3.5. Winter Fig. 5. Plot of factor loadings for each variables of the first two factor axes of: Ža. winter data; Žb. spring data; Žc. summer data; and Žd. autumn data. S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 Table 5 Factor loading matrix for phytoplankton-related variables after a varimax rotation Winter Spring Summer Autumn Variable Factor 1 Factor 2 TP Dap TON Si Zoo SRP NH4 0.931 y0.742 0.081 0.154 0.037 0.489 0.533 0.175 0.094 y0.947 0.895 y0.084 y0.130 0.141 TON TP Si Zoo Dap NH4 SRP y0.906 0.816 y0.805 0.589 0.019 y0.003 0.002 y0.071 0.121 0.129 0.508 0.916 0.216 0.047 Zoo Dap TON NH4 Si TP SRP 0.907 0.863 y0.032 0.071 y0.112 y0.184 0.018 y0.068 0.173 0.783 0.748 0.122 y0.590 y0.034 TON TP NH4 Si Zoo SRP Dap 0.893 y0.824 0.673 0.024 y0.219 y0.003 0.082 0.006 0.080 y0.505 y0.804 0.726 y0.294 0.142 and grazing ŽDap. factors associated with eutrophication. F-2 accounted for 26% of the total variation and was related to other nutrient variables ŽTON and Si.. Although TP, Dap, TON and Si were all selected by FA, regression analysis did not show any significant relationship Ž P) 0.05. between the associated factors and phytoplankton biomass. 3.6. Spring In spring Žcompleted data cases s 39, missing cases s 33., 52% of the total variation was accounted for by two factors, the eigenvalues were 2.6 for axis 1 and 1.6 for axis 2. The loading 177 matrix is shown in Table 5, and their loadings plotted on a bi-plot in Fig. 5b. The first axis accounted for 35% and the second for 17% of the variance. F-1 was related to nutrient ŽTON, TP and Si. availability. F-2 was related to predation ŽDap. factor. To examine the relative effect of the two factors in governing the phytoplankton biomass, a stepwise regression analysis was computed. S - Chl as y 0.135q 0.312= F- 1 Ž adj. R 2 s 25%, S s 0.520. Ž1. This illustrates only F-1 was important in governing phytoplankton biomass. According to the positive relationship between F-1 and TP, and negative relationship between F-1 and TON and Si, phytoplankton biomass as indicated by standardised Chl a increases with increasing TP and with reducing TON and Si. It suggested that phytoplankton was TP-limited in spring. 3.7. Summer During the summer period Žcompleted data cases s 59, missing cases s 36., eigenvalues of the two factors were 2.1 for F-1 and 1.4 for F-2. The loading matrix and bi-plot are given in Table 5 and Fig. 5c, respectively. The two factors captured a relatively low level of the total variance Ž45%.. F-1 which explained 23% of the variance, was related to a predatory ŽZoo and Dap. factor. F-2 which accounted for 22% of the variance, was related to nutrient ŽTON, NH 4 and TP. availability. To explore the relative role of the two factors in explaining the phytoplankton biomass Žas indicated by standardised, square root Chl a., a stepwise regression analysis was computed which showed that both F-1 and F-2 were important in the control of phytoplankton abundance. S y 'Chl - a s 0.585y 0.374= F- 1 y 0.554= F- 2 Ž adj. R 2 s 46%, S s 0.707. Ž2. 178 S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 This regression result illustrates the role of grazing pressure ŽZoo and Dap. and nutrient resource ŽTON, NH 4 and TP. in relation to phytoplankton biomass and demonstrates a high connectivity between N, P, Zoo, Dap and phytoplankton. Considering the negative relationship between phytoplankton and F-1 and F-2 in Eq. Ž2., and the negative relationship between F-2 and TP and the positive relation between F-2 and Zoo, Dap, TON and NH 4 ŽTable 5., phytoplankton was positively correlated to TP, but negatively to Zoo, Dap, TON and NH 4 . Hence, nutrient Ži.e. TP. and grazing Ži.e. Zoo and Dap. factors were both limiting phytoplankton biomass in summer. 3.8. Autumn Factor analysis of data from the autumn Žcompleted cases s 39, missing cases s 18. showed that the first two factors Žwith eigenvalues of 2.6 for F-1 and 1.9 for F-2., accounted for 50% of the total variation. F-1 explained 28% of the variance and was correlated with variables associated with nutrient availability, including nitrogen ŽTON and NH 4 . and phosphorus ŽTP. ŽTable 5, Fig. 5d.. Conversely, F-2 accounted for 22% of the variance and was related to both biotic ŽZoo. and abiotic ŽSi. factors. To examine the importance of the two factors in explaining phytoplankton biomass, a stepwise regression analysis was performed. S - Chl as 0.247y 0.742= F- 1 q 0.305= F- 2 Ž3. Ž adj. R 2 s 64%, S s 0.590. The regression calculation suggests that phytoplankton biomass was controlled both by nutrient and predator availability. Table 5 shows the interaction between the first two factors and their associated variables: F-1 was positively related to TON and NH 4 and negatively to TP; and F-2 was positively correlated to Zoo and negatively to Si. Thus, according to Eq. Ž3. and Table 5, phytoplankton biomass was positively associated with TP and Zoo, and negatively with TON, NH 4 and Si. This suggests that the interaction between nutrients ŽN, P, Si., grazers ŽZoo. and phytoplankton was complex. 4. Discussion: the role of nutrients and zooplankton in phytoplankton variability Sophisticated statistical techniques may often find significant relationships in a large data set whether or not cause and effect actually occur ŽLuoma and Bryan, 1982; Gilbert, 1987.. However, when a process in nature is controlled by a suite of inter-relating variables, specifically focused statistical searches may be the only way to discern the relative importance of the different variables in the natural system ŽLuoma and Bryan, 1982.. In this study, we have statistically tested the effects of seven variables on phytoplankton biomass in shallow lake eutrophication. This study sought to disentangle variable abiotic᎐biotic interactions in relation to phytoplankton biomass and hence, consider the relative importance of top-down and bottom-up controls in contributing to long-term eutrophication in relation to seasonal periodicity. Despite the complexity of the interactions between nutrient availability, phytoplankton biomass and zooplankton grazing, the results showed that it is possible to disentangle environmental processes causing observed patterns in eutrophication using multivariate statistical analysis on a long-term data set. With a very high reduction Ži.e. 90%. of external P loading, it was found that the high in-lake total phosphorus concentration was maintained throughout the 11-year period. This observation supports the notion that it is difficult to restore a eutrophic lake solely by nutrient reduction. The uncoupling of external P reduction and in-lake chlorophyll a reduction possibly demonstrates complex ecosystem behaviour in the context of the restoration of Barton Broad, as compared to the simple linear relationship that has been observed elsewhere. The uncoupling may also be associated with the error involved using percentage reductions of nutrient loading rather than absolute in-lake total phosphorus values in determination of the nutrient ᎐phytoplankton relationships. On the other hand, the reason for the uncoupling might be due to the potential influences of other environmental factors, such as nitrogen and reactive dissolved silicon, upon phytoplankton biomass. S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 To examine the effect of particular environmental variables upon phytoplankton, Table 6 summarises the positive and negative interactions between phytoplankton biomass and the associated abiotic and biotic variables. The statistical evidence suggests that there is a strong temporal heterogeneity in controls upon phytoplankton biomass. In particular, the controlling factors influencing phytoplankton biomass varied from season to season. In summary: phytoplankton were regulated by phosphorus, nitrogen and silicon in spring; phosphorus, nitrogen and zooplankton in summer; and phosphorus, nitrogen, silicon and zooplankton in autumn. The environmental variables affecting phytoplankton biomass in winter were not evident in the statistical relationship. High inherent variability in the data set, a common characteristic of environmental data, may explain the absence of any significant relationship between phytoplankton biomass and the variables in winter. In spring, summer and autumn, for which significant regression results were obtained, the relative significance of the suite of nutrient and grazing factors in the control of phytoplankton biomass varied remarkably. In addition, the results showed that more variables show a relation with phytoplankton in summer and autumn than in spring. This indicates that phytoplankton biomass may be sensitive and responsive to environmental variability in summer and autumn weather as compared to any other season. Despite the seasonal variations, the critical environmental variable associated with variability of phytoplankton biomass would seem to be total phosphorus ŽTable 6.. Taking grazing effects into the consideration, the limiting role of total zooplankton and Daphnia was present in the summer, but not in other seasons, suggesting a shift of the predatory role of the grazers between seasons ŽLampert et al., 1986.. The grazing effect observed in this study is in line with the finding that grazing by zooplankton can prevent large algal populations from developing even in extremely fertile water Že.g. Timms and Moss, 1984.. The present study demonstrates that trophic inter-relationships in eutrophic lakes are strongly related to temporal heterogeneity. In particular, seasonality was identified as an important variable in affect- 179 Table 6 Phytoplankton and the associated regulatory variables Relation to phytoplankton Positive Negative Spring TP TON Si Summer TP Total zooplankton Daphnia TON NH4 Autumn TP Total zooplankton TON NH4 Si ing lake eutrophication. Given that changes in seasonality Žas shown by varying environmental variables. could strongly affect phytoplankton variability, the question emerges as to whether shifts in climatic parameters within a single season will influence eutrophication. This has yet to be specifically tested. Conclusive evidence of the dominant role of total phosphorus upon phytoplankton variability compared to other environmental variables, such as temperature and rainfall in any single season must await further investigation. In conclusion, the study offers some optimism that phytoplankton biomass in eutrophic shallow lakes can generally be predicted and explained by an array of abiotic and biotic variables, despite the complexity of the environmental factors involved. Acknowledgements This research was conducted with the financial support of the Croucher Foundation ŽHong Kong.. SSSL was in receipt of a Croucher PhD scholarship. This paper would not have been written without the technical assistance of Sarah Caswell, Claire Metcalfe and other staff of the Environment Agency ŽUK. in terms of data assimilation whilst SSSL visited the Haddiscoe Laboratory in spring 1999. We are grateful to Dr Geoff Phillips and Dr Jo Pitt of the Environment Agency ŽUK. for constructive comments on an early draft. The 180 S.S.S. Lau, S.N. Lane r The Science of the Total En¨ ironment 288 (2002) 167᎐181 manuscript benefited significantly from the comments of Prof. Brian Moss of University of Liverpool, UK. 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