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Relating salmon catch trends to acid deposition and catchment characteristics

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Applied Geography (1991), II, 227-243 Relating salmon catch trends to acid deposition and catchment characteristics David Waters Institute of Hydrology, Wallingford, Oxon., OX10 8BB, UK Abstract Statistically significant trends in Scottish salmon catches for the 54 mainland fishery districts are identified. Three measures of salmon catch trend are extracted from the linear regression analysis. Water quality is ultimately controlled by atmospheric inputs and the interaction with vegetation, soils and geology; hence, catch trends are related to environmental variables. External and internal confounding factors are considered and reduced, this process compacting the data set into 29 fishery districts. As a statistical precaution, the raw data were checked to see that they did not seriously violate the assumptions of the regression model. Models for prediction and management use are established using regression and discriminant function analysis. The annual percentage change of relative catch trend provided a measure of annual resource change and was, therefore, con- sidered a more practical measure of salmon catch trend for management applica- tion. There was a good agreement in the predictor variables entered into the models for both statistical techniques and variables consistently entered into the models are identified and proposed for use in future modelling exercises. Introduction The detrimental effects of acid deposition on fisheries was first recognized by Dahl (1927), who suggested the relationship between acidity of surface waters and the status of trout populations in Norway. Most of the investigations to follow were completed in North America and Scandinavia but as the extent of the acid deposition problem grew, Howells (1979) chaired the first workshop on the ecological effects of acid precipitation in the United Kingdom at Galloway, southwest Scotland. This initial workshop prompted the Department of Agriculture and Fisheries for Scotland (DAFS) to investigate the possible ecological effects of acidification. The resultant study in central Scotland concluded that streams draining forested catchments were more acidic, contained higher levels of aluminium than streams draining non-forested catchments and that fish populations were directly related to stream water chemistry (Harriman and Morrison 1981, 1982). In 1981 the Loch Dee Project began to investigate the ecological effects of acid precipitation and forest management on an upland catchhment in southwest Scotland and the preliminary results were published by Burns et al. (1984). The Loch Fleet Project was also instigated to investigate and explore the effects of manipulating land use and water treatments and their possible ameliorating effects on surface water acidification and, subsequently, to monitor changes in fish populations. Harriman and Wells (1984) studied the causes and effects of surface water acidifica- tion in Scotland and noted that many acid streams in the upper reaches of the River Forth and Galloway region were fishless. Wells et a/. (1986) suggested sensitive surface waters could be identified from areas with sensitive groundwaters as defined 0143.6228/91/03 0227-16 0 1991 ButterworthhHeinemann Ltd
Transcript
Page 1: Relating salmon catch trends to acid deposition and catchment characteristics

Applied Geography (1991), II, 227-243

Relating salmon catch trends to acid deposition and catchment characteristics

David Waters

Institute of Hydrology, Wallingford, Oxon., OX10 8BB, UK

Abstract

Statistically significant trends in Scottish salmon catches for the 54 mainland fishery districts are identified. Three measures of salmon catch trend are extracted from the linear regression analysis. Water quality is ultimately controlled by atmospheric inputs and the interaction with vegetation, soils and geology; hence, catch trends are related to environmental variables. External and internal confounding factors are considered and reduced, this process compacting the data set into 29 fishery districts. As a statistical precaution, the raw data were checked to see that they did not seriously violate the assumptions of the regression model. Models for prediction and management use are established using regression and discriminant function analysis. The annual percentage change of relative catch trend provided a measure of annual resource change and was, therefore, con- sidered a more practical measure of salmon catch trend for management applica- tion. There was a good agreement in the predictor variables entered into the models for both statistical techniques and variables consistently entered into the models are identified and proposed for use in future modelling exercises.

Introduction

The detrimental effects of acid deposition on fisheries was first recognized by Dahl (1927), who suggested the relationship between acidity of surface waters and the status of trout populations in Norway. Most of the investigations to follow were completed in North America and Scandinavia but as the extent of the acid deposition problem grew, Howells (1979) chaired the first workshop on the ecological effects of acid precipitation in the United Kingdom at Galloway, southwest Scotland.

This initial workshop prompted the Department of Agriculture and Fisheries for Scotland (DAFS) to investigate the possible ecological effects of acidification. The resultant study in central Scotland concluded that streams draining forested catchments were more acidic, contained higher levels of aluminium than streams draining non-forested catchments and that fish populations were directly related to stream water chemistry (Harriman and Morrison 1981, 1982). In 1981 the Loch Dee Project began to investigate the ecological effects of acid precipitation and forest management on an upland catchhment in southwest Scotland and the preliminary results were published by Burns et al. (1984). The Loch Fleet Project was also instigated to investigate and explore the effects of manipulating land use and water treatments and their possible ameliorating effects on surface water acidification and, subsequently, to monitor changes in fish populations.

Harriman and Wells (1984) studied the causes and effects of surface water acidifica- tion in Scotland and noted that many acid streams in the upper reaches of the River Forth and Galloway region were fishless. Wells et a/. (1986) suggested sensitive surface waters could be identified from areas with sensitive groundwaters as defined

0143.6228/91/03 0227-16 0 1991 ButterworthhHeinemann Ltd

Page 2: Relating salmon catch trends to acid deposition and catchment characteristics

228 Relating salmon catch trends to acid deposition and catchment characteristics

by Kinniburgh and Edmunds (1984). They summarized previous papers and noted the findings of Egglishaw et al. (1986) that salmon catch declines in Scottish salmon fishery districts were highly correlated with areas under more than 20 per cent upland forestry. The weight of evidence that acidification and coniferous afforestation had a detrimental effect on fisheries was growing and this encouraged two further ecological studies by Harriman et a/. (1987) and Maitland et al. (1987).

Most of these previous investigations of the effects of acid deposition on fisheries in Scotland were micro-scale studies often centred in Galloway. A larger regional- scale study was attempted by the UK Acid Waters Review Group (1986), who analysed salmon catch trends in Scottish fishery districts but found no relationship with volume rainfall weighted mean hydrogen ion concentration or hard rock types. However, the validity of the relative salmon catch trend measures chosen was questionable (Waters and Kay 1987).

The rationale for a ‘catchment’scale regional analysis has been demonstrated by Bull and Hall (1989), who related physical catchment characteristics to stream chemistry and biology. It is quite clear that stream water chemistry, particularly the biologically important parameters, aluminium speciation, H + and calcium con- centrations, will be governed by the concentration and amount of pollutant deposition, as well as interaction and modification by the vegetation, overlying soils and geology. The interaction of these water quality variables is complex. However, salmonid life stage sensitivity to aluminium and hydrogen ion toxicity and the ameliorating effects of calcium have been well documented.

Following the publication of the Scottish salmon catch data for the 54 mainland statistical fishery districts (Fig. 1) and the growing evidence for the impact of acidification and coniferous afforestation affecting fisheries, particularly in Europe and North America, the opportunity arose for a macro-scale assessment of the environmental impacts of acidification and land use characteristics in many of the Scottish salmon fishery districts.

Data and analytical methodology

Data

The variables collated for analysis are given in Table 1. Data source and quality were considered and summarized in Waters (1989). Total Scottish salmon catch trend from 1952 to 1984 was examined for 54 mainland fishery districts (Fig. 2). The paucity of data on the relationship between catch and stock means that stock size cannot be estimated from individual catch records. However, long-term trends can be extracted from the 33..year data set (Department of Agriulture and Fisheries for Scotland 1983). The inadequacy of the statistical interpretation of Egglishaw et al. (1986) has already been mentioned, particularly in view of the fact that they only highlighted declines. Regression analysis was used by Martin and Mitchell (1985) to study the periodicity of grilse and multi-sea-winter salmon catches from the River Dee and a similar approach was employed in this study to indicate relative declines and increases in total salmon catch. The catch data for each statistical fishery district were used to calibrate a regression model of the form

Y=A,+BkU

where Y = annual salmon catch x = year U= standard error of the residual term A = constant B = constant

Page 3: Relating salmon catch trends to acid deposition and catchment characteristics

David Waft-n 229

- Region boundary

Dristrict boundary

Figure 1. Fishery districts as defined by Department of Agriculture and Fisheries for Scotland (see Table 2 for district numbers).

Page 4: Relating salmon catch trends to acid deposition and catchment characteristics

230 K&ring salmon curch treenrls IO ucid deposiiion und curchmeni chamcreristics

Table 1. List of variables in the main data set

TREND RESLOP 1 RESLOPZ FORAREA HION ATB ACEC APB APH BTB BCEC BPB BPH CTB CCEC CPB CPH S04CONC NO3CONC GEOLSi GEOLSS2 GEOLSS3 GEOLNS4 UPFOR WETDEPH WETDEPS WETDEPN DRYDEPS DRYDEPH TOTDEPS TOTDEPH ASOILS ASOILSS

Relative catch trend using Z values Relative catch trend, annual percentage change Relative catch trend, percentage change 19522 1984 Percentage area of coniferous afforestation Annual rainfall weighted hydrogen ion concentration Total bases in the A horizon Cation exchange capacity of the A horizon Percentage base saturation of the A horizon pH of the A horizon Total bases in the B horizon Cation exchange capacity of the B horizon Percentage base saturation of the B horizon pH of the B horizon Total bases in the C horizon Cation exchange capacity of the C horizon Percentage base saturatjon of the C horizon pH of the C horizon Annual rainfall weighted sulphate concentration Annual rainfall weighted nitrate concentration The most sensitive geological classification The second most sensitive geological class The third geological sensitivity classification Non-sensitive geological classification Percentage area of coniferous afforestation above 183 m Annual wet-deposited acidity Annual wet-deposited suiphate Annual wet-deposited nitrate Dry-deposited sulphur, 1983 Dry-deposited hydrogen, 1983 Total deposited sulphur Total deposited acidity Percentage area of susceptible soil in the A horizon for water acidification Percentage area of slightly susceptible soil in the A horizon for water

acidification ASOILNS Percentage area of non-sensitive soil in the A horizon BSOILS Percentage area of susceptible soil in the B horizon for water acidification BSOILSS Percentage area of slightly susceptible soil in the l3 horizon for water

acidification BSOILNS csoILs CSOILSS

Percentage area of non-sensitive soil in the B horizon Percentage area of susceptible soil in the C horizon for water acidification Percentage area of slightly susceptible soil in the C horizon for water

acidification CSOILNS Percentage area of non-sensitive soil in the C horizon

Thirty-two out of the 54 mainland fishery districts show a statistically significant trend at the 90 per cent significance level and were therefore retained for further analysis (Tables 2a and 2b). Seventeen districts show a significant decrease and fifteen a significant increase (Fig. 3). Three measures of relative catch trend were derived from the regression model. The first-‘Trend’-involved standardizing the catch and using the slope of the regression line. The second measure-‘Reslop l’-used the

Page 5: Relating salmon catch trends to acid deposition and catchment characteristics

David Waters 231

1

El z > +0.05

r,j,jjl::IIl:;jil 0 < z < +0.05

m -0.05 < z < 0

z < -0.05

Figure 2. Relative catch trends for all 54 mainland fishery districts (I 952- 1984).

Page 6: Relating salmon catch trends to acid deposition and catchment characteristics

232 Relating sahnon catch trends to acid deposition and cutchment characteristics

Table 2a. Summary table of regression statistics for districts which do not demonstrate a statistically significant trend in total salmon catch (1952- 1984)

Sig. District F (070) F value A B Z value

_-

Tay (3) 80 0.2060 448.70 21028.24 0.023 Don (7) 58 0.4152 - 54.05 25 474.14 -0.015 Deveron (10) 32 0~6800 27.19 11098.65 0.007 SPcY (11) 26 0.7360 - 40.41 30945.17 - 0*006 Lossie (12) 87 0.1280 28.73 - 726.26 0.028 Findhorn (13) 68 0.3160 -65.26 18 852.09 0.019 Bladenoch (19) 2 0.9800 -0.316 1814.74 o*ooo Urr (22) 20 0.7990 -1.00 590.38 -0.005 Nith (23) 11 0.8890 4.93 4481.33 0.003 Annan (24) 84 0.1630 - 94.82 16 642.61 - 0.023 Fleet and Brora (26) 71 0.2900 - 14.07 1896.05 - 0.020 Halladaie and Strathy (30) 50 0.5040 50.40 6 118.86 0.012 Hope and Grudie (32) 76 O-2380 8.22 36.58 0.022 Kennart to Gruinard (34) 17 0.8290 3.70 1913.47 0.004 Loch Long and Croe (38) 51 0.4871 ~ 14.16 2748.13 -0.013 Sanda to Creran (43) 83 0.1710 16.34 486.04 0.025 Awe and Nell (44) 71 0.2860 - 19-02 3 787.31 - o*ozo Carradale and Iorsa (48) 67 0.3290 -8*X3 1253.64 -0.018 Fyne (49) 20 0 ’ 8020 -2.89 1470.81 - 0.005 Doon (55) 64 0.3800 - 36.87 6 335.75 ~ 0.016 Girvan (56) 79 0.2120 - 19.47 2 238.61 - 0.023 Stinchar (57) 82 0*1820 -25.17 3 527.77 - 0.025

Noie: Fishery district numbers in parentheses

slope of the regression line divided by the mean catch, which yields percentage annual increase. The third method-‘Reslop 2’-involved the following method

Y = ( Y&I - Ysz) x 100 Y 52

and indicates the percentage increase over the 33-year period. All three measures are used in the main data set and an assessment of the most appropriate trend measure is made.

The Atlantic salmon, S&no salar, is an anadromous species and, therefore, possibly vulnerable to a number of internal and external catchment factors. Each of these factors were evaluated by Waters (1989) and Waters and Kay (1987) and eliminated as possible reasons for salmon catch trends for 29 statistical fishery districts. Another three districts were excluded from further analysis because they were affected by significant confounding factors (the influence of the North East Drift Net Fishery in the Forth and Tay districts and pollution in the Clyde fishery district).

Acid deposition parameters including concentration of sulphate, nitrate and acidity were derived from the Review Group on Acid Rain ((1983, 1987) and the con- centration isolines overlaid on the digitized fishery district areas. Deposition data included wet deposited sulphate, acidity and nitrate and dry and total deposited sulphate and acidity, which were calculated in the same way. Although the data

Page 7: Relating salmon catch trends to acid deposition and catchment characteristics

David Waters 233

R2 u Predicted Predicted Cumulative Mean Standard

1952 1984 loss by 1989 catch deviation

0.05103 19009 44 361 58 719 6 735 51540 19 206 0.02152 3 580 12 664 10934 -810 11799 3 562 0.00556 3 572 12 513 13 383 405 12 948 3 526 0.00373 6 485 28 844 27 551 - 600 28 197 6 394 0.07326 1 004 767 1 686 435 1 227 1 026 O-03237 3 505 14 859 12 770 -975 13 815 3 507 0~00002 683 1 798 1 792 -5 1 793 673 0.00211 214 538 506 - 15 522 211 0.00065 1 896 4 738 4 895 75 4 816 1 867 0.06180 3 630 11 712 8 678 ~ 1425 10 195 3 688 0.03602 715 2 628 714 -210 939 717 0.01454 4 076 8 739 10 352 750 9 546 4 042 0.04461 374 464 727 120 596 377 0.00153 929 2 106 2 224 60 2 165 915 0.01570 1 107 1012 1 559 - 208 1 785 1 093 0.05971 637 1335 1 858 240 1 897 647 0.03663 938 2 798 2 190 - 285 2 494 961 0.03074 486 794 512 - 135 653 486 0.00205 628 1321 1 228 -45 1 274 619 0.02491 2 266 4419 3 240 - 555 3 829 2 259 0.04988 835 1 226 603 - 285 914 843 0.36830 1 007 2219 1413 - 375 1816 1021

resolution was fairly crude this was the best available and, considering the macro- scale resolution of this study, the available data were considered appropriate. The percentage area of coniferous afforestation was also digitized for each fishery district, with the areaof upland afforestation obtained from DAFS (Morrison 1988). Soil data including mean pH, mean base saturation, mean cation exchange capacity and a sensitivity index were derived for a surface (A horizon) and two mineral soil horizons (B and C horizons) for each fishery district. The percentage area of the four geological sensitivity classifications derived by Kinniburgh and Edmunds (1984) were also digitized for each fishery district and again the resolution of the data was suitable for this study (Hornung and Edmunds 1986).

Analytical methodology

The goals of the statistical analysis were twofold:

1. to formulate predictive equations for salmon catch trend using environmental variables;

2. to classify districts into salmon producing catchments using trend as the dis- criminating variable.

Hence, out of a number of statistical techniques investigated, multiple regression analysis and discriminant function analysis were chosen as the most appropriate.

Page 8: Relating salmon catch trends to acid deposition and catchment characteristics

234 Relating salmon catch trends to acid deposition and catchmwt characteristkr

Table 2b. Summary table of regression statistics for districts which demonstrate a statistically significant trend in total salmon catch (1952- 1984)

District Sig.

F(%) F value A B 2 value

Tweed (1) 99 Forth (2) 99 South Esk (4) 99 North Esk and Bervie (5) 97 Dee (Aberdeenshire) (6) 99 Ythan (8) 99 Ugie (9) 92 Nairn (14) 99 Ness (15) 99 Beauly (16) 99 Conon and Ainess (17) 99 Lute (I 8) 99 Cree and Fleet (20) 91 Dee (Kirkcudbright) (21) 95 Kyle of Sutherland (25) 99 Helmsdale (27) 99 Berriedale to Wick (28) 97 Thurso and Forss (29) 91 Naver and Kinioch (3 1) 99 lnchard to Kirkaig (33) 98 Ewe (35) 93 Badachro to Applecross (36) 99 Kishorn and Carron (37) 99 Glenelg to Kilchoan (39) 99 Morar to Shiel (40) 93 Sunart and Aline (42) 99 Add and Ormsary (45) 99 Rue1 and Drummachloy (50) 99 Echaig (5 1) 98 Clyde (52) 96 Irvine (53) 99 Ayr (54) 99

0.0059 - 1036.14 124 910.60 - 0.049 0.0004 - 121.16 11875.51 --- 0 * 060 0.0044 185.60 615.53 0.050 0.0350 -440.27 70 979-20 - 0.038 0~0001 - 552-77 71773.93 - 0.067 0~0000 241-77 -- 10 916.30 0.074 0.0796 69.58 -3037.13 0.032 0~0001 - 57.43 6 113.62 - 0.067 0.0047 - 111.31 14 250-48 - 0.050 0~0000 -63-89 6721.39 -0.076 0.00~ -412-54 44 326.61 - 0.076 0.0017 - 29.33 2 746.08 --- 0 * 054 0.0870 - 64.74 8 330.77 -0.031 0*0480 -7.79 799.99 - 0.036 0.0006 141.19 1230.07 0.059 0~0000 103.72 -3728.17 0.067 0.0340 56.02 638-12 0.038 0~0880 89.76 2 807-07 0.031 0.0016 98.08 -2 716-97 0.054 0.0160 164.73 -2 799.64 0.043 0.0740 - 15.78 1931.36 - 0.032 0~0000 - 80.52 7 212.14 -- 0.072 0.0040 3.25 -- 146.14 0.060 0~0000 32.25 -1 600.73 0.071 0~0680 -31.18 4291.29 -- 0.033 0 * 0026 17.48 - 958.04 0.052 0~0002 30-58 - 1319.55 0.062 0.0006 - 1.23 110.98 -.- 0.059 0.0220 -6.15 626.60 - 0.042 0.0410 - 14.59 1653.70 -0-037 0~0000 5-37 - 295.41 0.081 0*0001 39.31 -1920*20 0.064

No/e: Fishery district numbers in parentheses

Multiple regression analysis has been used in many acidification studies for the prediction of key water quality variables from other water quality determinands, catchment characteristics and atmospheric deposition parameters (Neary and Dillon 1988; Sullivan et a/. 1988; Driscoll et a/. 1989). Stepwise discriminant function analysis was used by Hunsaker et al. (1986) to study the relationships between lake chemistry and catchment characteristics in the Adirondack Mountains and so was also selected here. With this method, group membership of each case is known. Hence, the cases are classified into one of several mutually exclusive groups using a number of predictor variables, after which an evaluation of the accuracy of the classification can be made.

Multiple regression analysis has been used by many researchers for descriptive and inferential purposes as well as prediction, but many fail to check whether the raw data

Page 9: Relating salmon catch trends to acid deposition and catchment characteristics

David Waters 235

R2 Predicted Predicted Cumulative Mean Standard

u 1952 1984 loss by 1989 catch deviation

0’22034

0.33915 0.23291 0.13571 0.41577 0.51566 0.09580 O-41485 0.23072 0.54098 0.53366 0.27531 O-09164 0.12045 0.32021 0.42531 0.13765 0.09113 0.27754 0.17291 o-09957 0.48743 0.34066 0.46868 O-10380 0.25628 0.36010 0.32229 0.16180 0.12852 O-62632 0.37992

19 148 1 662 3 309

10915 6 437 2 298 2 100

669 I 997

578 3 789

467 2 002

207 2021 1 184 1 378 2 785 1 555 3 153

466 811

44 337 900 293 401

17 138 373

42 493

71031 5 575

10 267 48 086 43 030

1 636 581

3 127 8 462 3 399

22 874 1 221 4 964

395 8 571 1 665 3551 7 475 2 383 4 830 1111 3 026

23 76

2 670 -49 271

48 307 896

-17 123

37 875 -15543 1 698 - 1814

16 206 2 790 33 980 6 600 25 342 -8295

9 360 3615 2 808 1 050 1 289 - 855 4 900 - 1 665 1 354 - 960 9 673 -6 195

282 - 435 2 893 - 975

146 - 120 13 089 2 115 4 983 1 560 5 344 840

10 347 1 350 5 522 1 470 9 526 2 205

606 - 240 449 - 1214 126 45

1 108 480 1 673 - 465

510 255 1 249 465

9 -15 110 -90 429 - 225 155 75

1381 600

54 453 3 636

13 237 41042 34 186

5 498 1 695 2 208 6681 2 377

16 274 752

3 928 270

10 831 3 324 4 448 8911 3 953 7 178

858 1737

75 592

2 171 231 760

27 208 662

69 753

21 344 2012 3 719

11 556 8 289 3 250 2 174

861 2241

840 5461

540 2 068

217 2413 1 538 1 460 2 875 1 800 3412

484 1115

54 456 936 334 493

21 148 617

66 617

satisfies the many assumptions required of the regression model (Poole and O‘Farrell 1971). A detailed investigation using the SPSSx statistical software (Norusis 1985) indicated that the data did not seriously violate any of the seven assumptions (Waters 1.989).

Results and discussion

Pearson product moment correlations

The main data set contains 37 independent variables and three measures of trend. A Pearson correlation matrix was calculated to identify the variables significantly related to the three catch trend measures (Table 3). Between the three dependent trend

Page 10: Relating salmon catch trends to acid deposition and catchment characteristics

236 Relating salmon catch trends to acid depositiorr and catchrent characteristics

1. z > +0.05

p7-J 0 < z < +0_05

I -0.05 < z < 0

z < -0.05

u Not significant

Figure 3. Relative catch trends for the statistically significant fishery districts uGng ‘Trend’.

Page 11: Relating salmon catch trends to acid deposition and catchment characteristics

David Waters 237

Table 3. Pearson product moment correlation coefficients for all variables in the main data set

TREND SIG. RESLOP 1 SIG. RESLOP 2 SIG.

TREND 1,000

FORAREA - 0.436 HION - 0.045

ATB 0.472 ACEC 0.0383 APB 0.378 APH 0.269 BTB 0.465 BCEC 0.390 BPB 0.409 BPH 0.413

CTB 0.510

CCEC 0.463 CPB o-499 CPH O-452

S04CONC -0.107

N03CONC - 0.086 GEOLSSI -0.114

GEOLSS2 0.05s GEOLSS3 O-332 GEOLNS4 0.039 UPFOR - 0.467 WETDEPH -0.148 WETDEPS -0*109 WETDEPN - 0.090 DRY DEPS 0.114

TOTDEPS - 0.037 DRYDEPH 0,116 ASOILS -0-265 ASOILSS -0.111

ASOILNS 0.388 BSOILS -0-364

BSOILSS -0.173 BSOILNS O-407 CSOILS -0.150 CSOILSS - 0.623 CSOILNS 0.499 TOTDEPH - 0,025 RESLOP 1 0.910 RESLOP 2 0.684

O-009

0.409 0.005 0.422 O-022 0.079 0.006 0.018 0.014 0.013 0.002 0.006 0.003 0.007 0.290 0.328 0.277 O-389 0.039 0.420 0.005 0.222 0.288 O-322 0.278 0.426 0.275 0.083 0.284 0.037 0.026 0,185 0.014

0.219 0.000 0.003 o-449 o*ooo 0.000

0.910 -0.368

0.041 0.385

- 0.078 0.404 o-395 0.579 0.379 0.506 0.545 0.640 0.596 0.588 0.581 0.040

- 0.056 - 0.098

0.006 0.374 0.089

-0.481 - 0.001 -O*OSl ~ O-084

0.161 0.028 0.163

-0.302 0.091 0.323

-0.396 -0.263

0.511 -0.313 - 0.509

0.574 O-093 1.000 0.854

o*ooo 0.025 0.417 0.020 0.344 0.015 0.017 0.000 0.021 o-003 O-001 0.000 o-000 0-000 0~000 0.418 0,386 0.306 0.488 0.023 0.324 0.004 0.498 0.396 0.333 0.199 0.444 0,200 O-O.56 o-319 0.044 O-017 0.084 0.002 0.049 0.002 0.001 0,316

-

0.000

0.684 0.203

-0.019 0.101

-0.124 O-207 0.357 0.641 0.218 0.606 0.587 0.647 0.628 O-568 0.622 O-043

-0.133 -0.134

0,058 0.287 0.113

-0-367 O-198 o-199

- 0.078 0.217 0.241 0.215

-0.147 0.041 0.184

~ 0.333 0.277 0.531

- 0,422 ~ 0.223

0.547 O-247 O-8.55 l-000

O-000 0.146 0.462 0.301 O-261 0.140 O-029 0.000 0.127 O-000 0.000 0.000 0.000 0.001 0.000 0.412 0.247 O-244 0.383 0.065 0.279 0.042 O-151 o-149 0.344 0.129

0.103 o-131 O-223 O-416 0.170 0.039 0.073 0.002 0.011 0.122 0.001 0.098 o*ooo

-

measures ‘Trend’ and ‘Reslop 1’ had a high bivariate correlation of 0.910 (P= 0.000) and ‘Trend’ and ‘Reslop 2’ the lowest value of 0.684 (P= 0.000). For the first relative trend measure, ‘Trend’, only three of the 37 independent variables have unexpected signs for the bivariate correlation coefficients: dry-deposited sulphur and hydrogen (DR YDEPS and DRYDEPH) and a parameter reflecting sensitivity of geology (GEOLSSZ). The highest correlations are with slightly sensitive soils in the C horizon, total bases in each soil horizon, percentage base saturation of the C horizon and percentage area of upland afforestation.

Page 12: Relating salmon catch trends to acid deposition and catchment characteristics

238 Relating salmon catch trends to acid deposition and catchment characteristics

For ‘Reslop 1’ nine variables have unexpected signs for the Pearson product moment correlation coefficients: HION, CCEC, SO4CONC, GEOLSS2, DR Y- DEPS, DRYDEPH, TOTDEPS, TOTDEPH and ASOILSS (see Table 1 for definitions). The highest coefficients are with all the parameters in the C horizon and total bases in the B horizon. The results for ‘Reslop 2’ are similar to those for ‘Reslop 1’.

Regression equations

A number of stepwise and forced entry procedures were used in the construction of the regression models using the SPSSx statistical package (Norusis 1985). To increase the transferable potential of the calibrated models the degree of allowed multi- collinearity and linear association in the model were controlled using ‘PIN’ and ‘Tolerance’ values (Norusis 1985). Models were constructed using three different ‘PIN’ values of 0.5, 0.1 and 0.2 and four ‘Tolerance’ values, 0.01, 0.05, 0.1 and 0.2. Increasing the ‘PIN’ value and decreasing the ‘Tolerance’ value had the effect of decreasing the number of variables entered into the models. Two basic models can be selected, those which possess high predictive capabilities (high adjusted R*), and those where the optimum R* is retained at the expense of data collation costs, that is, ‘management models’.

Best predictive equations. Each one of the three dependent variables produced different regression equations. For ‘Trend’ the best predictive equation contained 13 variables and the adjusted R* value was 0.904 (Equation 1).

Y = -0.329 + 0.0007 GEOLSI + 0.003 CPB + 0.021 BCEC - 0.010 CCEC + 0.003 GEOLSSZ - 0.002 FORAREA ~ 0.004 S04CONC + 0’ 122 APH

+ 3.56 WETDEPH - 0.003 N03CONC •t 0.007 ATB - 0.97 BPH - 0.329 GEOLNS4 + O-018 (1)

(R* = O-904, F = 21.387, Sig. = 0.0000)

Multicollinearity within the data set has caused some incorrect signs for the partial regression coefficients. It is difficult to judge whether the coefficients for the variables BCEC and CCEC are correct because different results would occur if the cation exchange capacity was attributed to bases or exchangeable hydrogen (Reuss and Johnson 1986). The other four soil variables reflect the ability to neutralize incoming acidity. Three atmospheric variables are included; the concentration terms might be considered surrogate measures for the frequency of polluted rainfall events (Cape and Fowler 1986). The latter deposition term is important in evaluating the maximum chemical potential for biological and chemical reactions. Wet deposited acidity was one variable Hunsaker et al. (1986) found important in the prediction of acid neutral- izing capacity. The percentage area of coniferous afforestation has been identified as an important variable in other studies and was consistently entered when ‘PIN’ and ‘Tolerance’ values were tightly controlled.

The best predictive equation for ‘Reslop 1’ contained 14 variables explaining 94 per cent of the variation in the dependent variable:

Y = 13.328 + 0.066 GEOLSI - 0.164 UPFOR + 1.303 BCEC + 0.169 CPB + 0.128 GEOLSSZ + 399.111 WETDEPH - 0.250 HION + 1.297 ATB

- 0.261 ACEC - 0.337 APB - 0.891 CCEC - 2.456 TOTDEPS + 0.056 BPB + 0.023 ASOILNS + 0.898 (2)

(R’ = O-940, F = 31.620, Sig. = 0.0000)

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David Waters 239

Again the proportion of the highest geological sensitivity class is important. Adamson and Bennefield (1987), studying solute concentrations of streams draining different geologies in upland Britain, also concluded that rock type had the greatest influence on stream water chemistry. Parameters reflecting the base status of the soil also appear in the equations and control the amount of aluminium and hydrogen leached from the soil. Brown (1987) confirmed that these are important variables mediating fishery status. Wet deposited acidity and total deposited sulphate are also important. The source of mobile anions is important for the leaching of acidic cations from the soil and is therefore negatively correlated with ‘Reslop 1’. The percentage of upland coniferous afforestation also appears in the equation.

Models developed for the final trend measure, ‘Reslop 2’, account for less of the total variance in the dependent variable. Controlling the degree of permitted multi- collinearity had no effect on variable entry. With a ‘PIN’ and ‘Tolerance’ value of O-2 the following model resulted in an adjusted R2 of O-77:

Y = - 1278.828 + 117.259 C-7-B + 8.237 GEGLSl - 31.615 NO3CONC - I5 * 53 UPFOR + 903 = 299 WETDEPS f I 1.527 SO4CONC

- 19.108 GEOLNS4 + 191.984 (3)

(R2 = 0.77, F = 14.42, Sig. = O*OOOO)

Both parameters reflecting the sensitivity of geology have incorrect partial regression coefficient signs. Trend is negatively correlated with the non-sensitive classification and positively correlated with the most sensitive classification. Two of the three atmospheric variables also have incorrect correlation directions.

Management mode/s. Management models require three main attributes:

1. minimization of variables with misclassifications; 2. minimization of variables in the model which reduces data acquisition costs; 3. retention of a high adjusted R2, once the first two criteria have been satisfied.

Decreasing the ‘PIN’ and increasing the ‘Tolerance’ values reduces the number of variables entered into the model but also reduces the R?. Hence the number of incorrect partial regression coefficient signs in each model is one measure of the management utility of the resultant equation.

The most applicable model for the first dependent trend measure, ‘Trend’, was constructed with a ‘PIN’ value of 0.12 and ‘Tolerance’ value of O-2, resulting in an adjusted RL of O-708:

Y = -0.309 - 0.002 CSOILSS - 0.001 UPFOR + O-061 WETDEPS + 0.001 GEOLSI + O-002 CPB + O-0009 BSOILS t 0.01 BCEC

- 0.002 ASOILSS f 0,031 (4)

(Rz = 0.708, F = 9.479, Sig. = O*OOOO)

Two models can be selected for management purposes when ‘Reslop 1’ is the dependent variable. Although equation (5) only has an adjusted R2 of 0.631, it only requires three independent variables:

Y = -6.22 + I.069 CTB + O-059 GEOLSI - 0.076 UFFOR zt 2.205 (5)

(R2 = O-631, F = 16.962, Sig. = O*OOOO)

This equation reflects the influence of land use, geology and base status of the mineral

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240 Relating saltnon catch trends to acid deposition and catchlnent characteristics

horizons. Equation (6) explains 79 per cent of the variation in the dependent variable but requires the acquisition of three more variables:

Y = -22.184 + 0.845 CTB + 0.063 GEOLSI - 0.111 UPFOR + 0.495 BCEC + 0.034 ASOILS + 0.068 CSOILNS + 0.069 ACEC

+ 14.433 WETDEPN zt 1.669 (6)

(R* = 0.789, F = 14.049, Sig. = 0.0000)

Once again variables reflecting the neutralizing capacity of the soil, land use and sensi- tivity of geology are important.

The optimum regression equation for ‘Reslop 2’ requires three variables which explained 61 per cent of the variation in the dependent variable:

Y = 543.599 + 141.237 CTB + 7.209 GEOLSl - 17.48 NO3CONC * 258.937 (7)

(F2 = O-607, F = 15.435, Sig. = 0.0000)

Again base status of the soil and geological sensitivity are important variables.

Discriminant function equation (classification into discrete groups)

When a two-group classification was used all three trend measures produced the same equation, the best discriminant model being formed when the tolerance value was O-06. This contained eight variables and the Wilk’s lambda was 0.169:

D = - 12.50 - 0.038 CSOILSS + 0.037 GEOLSI + 0.197 BSOILS + 0.743 BCEC - 0.536 CCEC - 0.065 S04CONC - 0.038 ACEC (8)

The variables entered are similar to those in the regression equations. All 29 cases were classified correctly.

A four-group classification can be established for ‘Trend’ and ‘Reslop 2’ as the trend directions can be further broken down to classify cases into ‘moderate’ and ‘rapid’ trends. However, with ‘Reslop 1’ only a three-group classification is possible because originally there were only three discrete trend categories; hence, an enhance- ment in the accuracy of the classification of cases would be expected.

Three discriminant function scores can be calculated for the four-group discrimina- tion of ‘Trend’. The first discriminant function (equation 9) was developed with a ‘Tolerance’ value of 0.07 and produced a Wilk’s lambda of O-019.

Dl = -22.714 + 0.008 CSOILSS + 0.097 CPB + 0.056 GEOLSI + 0.854 BCEC - 0.176 BTB + 0.098 GEOLSS2 - 0.104 UPFOR - 0.165 ASOILSS

+ 217.897 WETDEPH + 0.343 ATB - 0.066 SOlCONC (9)

Similar variables are selected to the two-group classification model. The number of misclassified correlations will vary because the unstandardized discriminant function coefficients vary for each function. For ‘Reslop 1’ and ‘Reslop 2’, soil and geology variables are the most frequently entered. The performance of the discriminant function to classify cases is similar to the model developed for ‘Trend’. Errors in the classification of cases can only be justified if the cost of collecting the predictor variables is greatly reduced.

The frequency with which certain variables are entered into the regression and discriminant function models serves to indicate the importance of the independent variables that need to be collected in future studies of the effects of acid deposition on

Page 15: Relating salmon catch trends to acid deposition and catchment characteristics

David Waters 241

salmonid fisheries. The variables that were consistently entered into the regression models were:

Annual rainfall weighted sulphate concentration Dry-deposited hydrogen, 1983 Annual wet-deposited sulphate Total bases in the C horizon Percentage base saturation of the C horizon Cation exchange capacity of the B horizon Percentage area of coniferous afforestation above 183 m. Most sensitive geological classification

Additional variables entered in the discriminant function models were:

Annual rainfall weighted nitrate concentration Percentage area of susceptible soil in the B horizon for water acidification Percentage area of slightly susceptible soil in the C horizon for water acidification

Wet deposited sulphate and acidity consistently emerged from the regression models as important variables. Hunsaker et a/. (1986) reported wet deposited acidity as the first variable entered into their model when predicting pH and acid neutralizing capacity, which are two important variables controlling fishery status. Loucks et al.

(1986), observing the role of precipitation chemistry and catchment characteristics in lake acidification, defined wet deposited sulphate as an important factor. Nitrate concentration was identified as an important variable in the discriminant function analysis. If thedeposition of nitrate is large, or at least greater than biological require- ments, it can contribute significantly to the total soil solution strength and, therefore, to the leaching of cations from the soil, which may have deleterious effects on the fishery. Especially in Scotland, where the soils are very acid, the amount of anion in solution will be much more important than the concentration of hydrogen ions.

Only soil variables relating to the mineral horizons were included in the regression models. It is these horizons that contain the largest amounts of aluminium and, therefore, offer the greatest potential threat to fishery status. The soils in Scotland are freely drained and this explains why mineral soil variables consistently emerge as more important than surface soil parameters.

Land use and percentage area of upland coniferous afforestation are also important, rather than the total forested area, as expected. Upland afforestation has a greater effect on water quality in the spawning grounds and, therefore, an indirect influence on recruitment failure. In most cases forestry in lower parts of the catch- ment surrounding higher-order streams which are buffered by greater amounts of groundwater has a negligible impact on water quality.

The percentage area of the most sensitive geological classification was also entered in all equations. This agrees with other work, such as that of Briker and Rice (1989) and Loucks et al. (1986), who showed that bedrock was an important factor controlling the acid neutralizing capacity of a catchment and an ultimate influence on stream water chemistry. However, the Pearson product moment correlation co- efficient with catch trend was not significant. This might be due to the fact that many districts in the Caithness and Sutherland region have large proportions of sensitive geology but showed increases in catch because of the ameliorating effect of the deep overlying peat. Peat has this effect because aluminium supply is limited and aluminium speciation in the leachate is usually in the biologically unavailable non- labile form or organically complexed.

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242 Relating salmon catch trends to acid deposition and catchment characteristics

Conclusion

Salmon catch trends for Scottish salmon fishery districts were established with a measure of statistical significance. Twenty-nine districts were retained for further analysis after complicating factors were eliminated. Of the three trend measures used, ‘Trend’ and ‘Reslop 1’ yielded the equations with the highest adjusted R2. However, ‘Reslop l’, which indicates the annual percentage increase, is an easier trend measure to interpret and, therefore, the most suitable indicator for management purposes.

The change in the total Scottish salmon resource from 1952 to 1984, calculated from the 29 statistically significant districts, is a decline of 1 per cent. Hence, acid deposition has had little noticeable effect on the total Scottish salmon resource. However, this is not the case at the district level. The interaction of atmospheric, land use, soil and geological variables will determine the resultant stream water quality. Over the 33-year period soils and geology have remained relatively constant. Hence changes in acid deposition and land use are the most likely factors in explaining the district-level declines. Further studies investigating the effects of environmental variables on salmon catch trend should consider linear regression as a suitable technique for evaluating catch trends. ‘Reslop 1’ is the most suitable measure of trend which incorporates a degree of resource change. Multiple regression and discriminant function analysis are suitable techniques for relating environmental variables to salmon catch trends and provide models of management significance. Important variables identified above should be incorporated into future modelling exercises.

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