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RM1. Río Doubs

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RM1. Río Doubs. 11 variables – 30 0bservaciones. doubs contains the following variables : dfs - distance from the source (km * 10), alt - altitude (m), slo ( log(x + 1) where x is the slope (per mil * 100), flo - minimum average stream flow (m3/s * 100), pH (* 10),

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slide1

RM1. Río Doubs

11 variables – 30 0bservaciones

doubs

containsthefollowing variables:

dfs- distancefromthesource (km * 10),

alt- altitude (m),

slo(log(x + 1)wherexistheslope (per mil * 100),

flo- minimumaveragestreamflow (m3/s * 100),

pH (* 10),

har- total hardness of water (mg/l of Calcium),

pho- phosphates (mg/l * 100),

nit- nitrates (mg/l * 100),

amm- ammonianitrogen (mg/l * 100),

oxy- dissolvedoxygen (mg/l * 10),

bdo- biologicaldemandforoxygen (mg/l * 10).

Verneaux, J. (1973) Cours d\'eau de Franche-Comté (Massif du Jura). Recherches écologiques sur le réseau hydrographique du Doubs. Essai de biotypologie.

Thèse d\'état, Besançon. 1–257.

slide2

Modelo

doubs1<-lm(bdo~dfs+alt+slo+flo+pH+har+pho+nit+amm+oxy)

Residuals:

Min 1Q Median 3Q Max

-12.360 -8.795 -1.746 5.670 19.636

Coefficients:

EstimateStd. Error t value Pr(>|t|)

(Intercept) 95.796641 120.646160 0.794 0.43698

dfs 0.003437 0.017574 0.196 0.84702

alt -0.076289 0.054218 -1.407 0.17555

slo 6.242197 4.245874 1.470 0.15788

flo -0.007352 0.007775 -0.946 0.35620

pH 0.818669 1.587167 0.516 0.61194

har 0.081596 0.257547 0.317 0.75484

pho 0.168851 0.115078 1.467 0.15866

nit -0.168605 0.047174 -3.574 0.00202 **

amm 0.560764 0.279089 2.009 0.05893 .

oxy -0.867332 0.344339 -2.519 0.02089 *

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 11.31 on 19 degrees of freedom

Multiple R-squared: 0.9438

Adjusted R-squared: 0.9143

F-statistic: 31.93 on 10 and 19 DF, p-value: 9.089e-10

slide3

Analysis of VarianceTable

Response: bdo

DfSumSq Mean Sq F value Pr(>F)

dfs 1 6781.1 6781.1 52.9761 6.624e-07 ***

alt 1 451.5 451.5 3.5271 0.0758077 .

slo 1 122.9 122.9 0.9605 0.3393842

flo 1 7812.8 7812.8 61.0356 2.379e-07 ***

pH 1 1044.7 1044.7 8.1611 0.0100917 *

har 1 2706.4 2706.4 21.1428 0.0001963 ***

pho 1 18955.6 18955.6 148.0864 2.045e-10 ***

nit 1 1486.0 1486.0 11.6094 0.0029555 **

amm 1 694.9 694.9 5.4290 0.0309819 *

oxy 1 812.1 812.1 6.3445 0.0208934 *

Residuals 19 2432.1 128.0

--- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

slide4

Selección de variables

  • Start: AIC=153.86
  • bdo~ dfs + alt + slo + flo + pH + har + pho + nit + amm + oxy
  • DfSumof Sq RSS AIC
  • dfs 1 4.90 2437.0 151.92
  • har 1 12.85 2444.9 152.02
  • pH 1 34.06 2466.1 152.28
  • flo 1 114.47 2546.5 153.24
  • <none> 2432.1 153.86
  • alt 1 253.43 2685.5 154.83
  • pho 1 275.58 2707.6 155.08
  • slo 1 276.67 2708.7 155.09
  • amm 1 516.77 2948.8 157.64
  • oxy 1 812.12 3244.2 160.50
  • nit 1 1635.16 4067.2 167.29
  • Step: AIC=151.92
  • bdo~ alt + slo + flo + pH + har + pho + nit + amm + oxy
  • DfSumof Sq RSS AIC
  • har 1 8.0 2444.9 150.02
  • pH 1 55.6 2492.6 150.60
  • <none> 2437.0 151.92
  • pho 1 274.0 2711.0 153.12
  • slo 1 411.2 2848.1 154.60
  • amm 1 511.9 2948.8 155.64
  • flo 1 672.2 3109.2 157.23
  • alt 1 1375.1 3812.1 163.34
  • nit 1 1703.0 4140.0 165.82
  • oxy 1 4274.9 6711.9 180.31
slide5

Step: AIC=150.02

  • bdo~ alt + slo + flo + pH + pho + nit + amm + oxy
  • DfSumof Sq RSS AIC
  • pH 1 59.5 2504.4 148.74
  • <none> 2444.9 150.02
  • pho 1 286.5 2731.4 151.34
  • slo 1 405.4 2850.3 152.62
  • amm 1 507.7 2952.6 153.68
  • flo 1 669.6 3114.5 155.28
  • alt 1 1773.6 4218.6 164.38
  • nit 1 1882.7 4327.6 165.15
  • oxy 1 4538.3 6983.2 179.50
  • Step: AIC=148.74
  • bdo~ alt + slo + flo + pho + nit + amm + oxy
  • DfSumof Sq RSS AIC
  • <none> 2504.4 148.74
  • pho 1 348.9 2853.3 150.65
  • slo 1 351.7 2856.1 150.68
  • amm 1 465.6 2970.0 151.85
  • flo 1 725.1 3229.5 154.37
  • alt 1 1717.1 4221.5 162.40
  • nit 1 1854.9 4359.3 163.37
  • oxy 1 4688.9 7193.3 178.39
  • Call: lm(formula = bdo ~ alt + slo + flo + pho + nit + amm + oxy)
  • Coefficients:
  • (Intercept) altsloflophonit182.688249 -0.085993 5.356013 -0.006105 0.180294 -0.167643
  • ammoxy
  • 0.522792 -0.900982
slide6

Modelo reducido

doubs2<-lm(bdo ~ alt + slo + flo + pH + har + pho + nit + amm + oxy)

Residuals:

Min 1Q Median 3Q Max

-11.619 -8.859 -1.827 5.705 19.403

Coefficients:

EstimateStd. Error t value Pr(>|t|)

(Intercept) 100.182234 115.658651 0.866 0.39666

alt -0.085582 0.025475 -3.359 0.00312 **

slo 6.646535 3.618290 1.837 0.08113 .

flo -0.005918 0.002520 -2.349 0.02922 *

pH 0.949286 1.404775 0.676 0.50693

har 0.050742 0.198624 0.255 0.80097

pho 0.163443 0.108987 1.500 0.14933

nit -0.166220 0.044462 -3.739 0.00130 **

amm 0.555656 0.271101 2.050 0.05374 .

oxy -0.926925 0.156492 -5.923 8.58e-06 ***

--- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 11.04 on 20 degrees of freedom

MultipleR-squared: 0.9437

AdjustedR-squared: 0.9184

F-statistic: 37.26 on 9 and 20 DF, p-value: 1.452e-10

slide7

Analysis of VarianceTable

Response: bdo

DfSumSq Mean Sq F value Pr(>F)

alt 1 4942.3 4942.3 40.5614 3.252e-06 ***

slo 1 362.4 362.4 2.9742 0.1000253

flo 1 416.1 416.1 3.4148 0.0794592 .

pH 1 2187.4 2187.4 17.9519 0.0004042 ***

har 1 901.1 901.1 7.3952 0.0132044 *

pho 1 26462.1 26462.1 217.1720 3.334e-12 ***

nit 1 530.4 530.4 4.3527 0.0499640 *

amm 1 786.5 786.5 6.4551 0.0194624 *

oxy 1 4274.9 4274.9 35.0838 8.577e-06 ***

Residuals 20 2437.0 121.8

--- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

slide8

RM2. aire

Datos de calidad del aire en NY (mayo-septiembre de 1983)

111 observaciones -4 variables

Bruntz, S. M., W. S. Cleveland, B. Kleiner, and J. L. Warner. (1974). TheDependence of Ambient Ozone on Solar Radiation, Wind, Temperature, and MixingHeight. In SymposiumonAtmosphericDiffusion and Air Pollution, pages 125–128. American MeterologicalSociety, Boston.

m<-lm(ozone~radiation+temperature+wind)

Residuals:

Min 1Q Median 3Q Max

-40.485 -14.210 -3.556 10.124 95.600

Coefficients:

EstimateStd. Error t value Pr(>|t|)

(Intercept) -64.23208 23.04204 -2.788 0.00628 **

radiation 0.05980 0.02318 2.580 0.01124 *

temperature 1.65121 0.25341 6.516 2.43e-09 ***

wind -3.33760 0.65384 -5.105 1.45e-06 ***

--- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 21.17 on 107 degrees of freedom

Multiple R-squared: 0.6062

Adjusted R-squared: 0.5952

F-statistic: 54.91 on 3 and 107 DF, p-value: < 2.2e-16

Analysis of VarianceTable

Response: ozone

DfSumSq Mean Sq F value Pr(>F)

radiation 1 14780 14780 32.971 8.853e-08 *** temperature 1 47378 47378 105.692 < 2.2e-16 *** wind 1 11680 11680 26.057 1.450e-06 *** Residuals 107 47964 448

---Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

slide10

RM3. Suelos

250 Observaciones-7 variables

m1<-lm(pHAgua~Ca+Mg+K+Al+H+C+N)

Residuals:

Min 1Q Median 3Q Max

-0.304156 -0.068852 0.003626 0.077496 0.226002

Coefficients:

EstimateStd. Error t value Pr(>|t|)

(Intercept) 5.05275 0.12327 40.991 < 2e-16 ***

Ca 0.24090 0.02421 9.950 < 2e-16 ***

Mg 0.43709 0.10341 4.227 3.36e-05 ***

K 0.35128 0.08206 4.281 2.69e-05 ***

Al -0.77929 0.22938 -3.397 0.000795 ***

H -0.03467 0.01187 -2.920 0.003826 **

C -0.30006 0.06992 -4.291 2.57e-05 ***

N -0.95043 0.75956 -1.251 0.212035

--- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.108 on 242 degrees of freedom

Multiple R-squared: 0.7636,

Adjusted R-squared: 0.7567

F-statistic: 111.7 on 7 and 242 DF, p-value: < 2.2e-16

http://www.cpatsa.embrapa.br/a_unidade/equipe/pesquisadores/pesquisadores/luis-henrique-bassoi

slide11

Analysis of VarianceTable

Response: pHAgua

DfSumSq Mean Sq F value Pr(>F)

Ca 1 7.3822 7.3822 633.1012 < 2.2e-16 ***

Mg 1 0.8825 0.8825 75.6874 5.191e-16 ***

K 1 0.1061 0.1061 9.0970 0.0028333 **

Al 1 0.2480 0.2480 21.2715 6.462e-06 ***

H 1 0.1498 0.1498 12.8430 0.0004096 ***

C 1 0.3273 0.3273 28.0712 2.629e-07 ***

N 1 0.0183 0.0183 1.5657 0.2120354

Residuals 242 2.8218 0.0117

  • step(m1)
  • Start: AIC=-1105.02
  • pHAgua ~ Ca + Mg + K + Al + H + C + N
  • DfSum of Sq RSS AIC
  • N 1 0.01826 2.8401 -1105.4
  • <none> 2.8218 -1105.0
  • H 1 0.09945 2.9213 -1098.4
  • Al 1 0.13459 2.9564 -1095.4
  • Mg 1 0.20833 3.0301 -1089.2
  • K 1 0.21368 3.0355 -1088.8
  • C 1 0.21473 3.0365 -1088.7
  • Ca 1 1.15440 3.9762 -1021.3
  • Step: AIC=-1105.41
  • pHAgua ~ Ca + Mg + K + Al + H + C
  • DfSum of Sq RSS AIC
  • <none> 2.8401 -1105.4
  • H 1 0.11504 2.9551 -1097.5
  • Al 1 0.13943 2.9795 -1095.4
  • K 1 0.19843 3.0385 -1090.5
  • Mg 1 0.26390 3.1040 -1085.2
  • C 1 0.32732 3.1674 -1080.1
  • Ca 1 1.13614 3.9762 -1023.3
  • Call: lm(formula = pHAgua ~ Ca + Mg + K + Al + H + C)
  • Coefficients:
  • (Intercept) Ca Mg K Al H C
  • 4.97917 0.23713 0.47282 0.33325 -0.79235 -0.03688 -0.33660
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