# nlsystemfit: Nonlinear Equation System Estimation In systemfit: Estimating Systems of Simultaneous Equations

## Description

Fits a set of structural nonlinear equations using Ordinary Least Squares (OLS), Seemingly Unrelated Regression (SUR), Two-Stage Least Squares (2SLS), Three-Stage Least Squares (3SLS).

## Usage

 1 2 3 4  nlsystemfit( method="OLS", eqns, startvals, eqnlabels=c(as.character(1:length(eqns))), inst=NULL, data=list(), solvtol=.Machine$double.eps, maxiter=1000, ... )  ## Arguments  method the estimation method, one of "OLS", "SUR", "2SLS", "3SLS". eqns a list of structural equations to be estimated. startvals a list of starting values for the coefficients. eqnlabels an optional list of character vectors of names for the equation labels. inst one-sided model formula specifying instrumental variables or a list of one-sided model formulas if different instruments should be used for the different equations (only needed for 2SLS, 3SLS and GMM estimations). data an optional data frame containing the variables in the model. By default the variables are taken from the environment from which nlsystemfit is called. solvtol tolerance for detecting linear dependencies in the columns of X in the qr function calls. maxiter the maximum number of iterations for the nlm function. ... arguments passed to nlm. ## Details The nlsystemfit function relies on nlm to perform the minimization of the objective functions and the qr set of functions. A system of nonlinear equations can be written as: ε_{t} = q( y_t, x_t, θ ) z_{t} = Z( x_t ) where ε_{t} are the residuals from the y observations and the function evaluated at the coefficient estimates. The objective functions for the methods are:  Method Instruments Objective Function Covariance of θ OLS no r'r (X(diag(S)^{-1}\bigotimes I)X)^{-1} SUR no r'(diag(S)_{OLS}^{-1}\bigotimes I)r (X(S^{-1}\bigotimes I)X)^{-1} 2SLS yes r'(I \bigotimes W)r (X(diag(S)^{-1}\bigotimes I)X)^{-1} 3SLS yes r'(S_{2SLS}^{-1} \bigotimes W)r (X(diag(S)^{-1}\bigotimes W)X)^{-1} where, r is a column vector for the residuals for each equation, S is variance-covariance matrix between the equations (\hat{σ}_{ij} = (\hat{e}_i' \hat{e}_j) / √{(T - k_i)*(T - k_j)}), X is matrix of the partial derivates with respect to the coefficients, W is a matrix of the instrument variables Z(Z'Z)^{-1}Z, Z is a matrix of the instrument variables, and I is an nxn identity matrix. The SUR and 3SLS methods requires two solutions. The first solution for the SUR is an OLS solution to obtain the variance-covariance matrix. The 3SLS uses the variance-covatiance from a 2SLS solution, then fits all the equations simultaneously. The user should be aware that the function is VERY sensative to the starting values and the nlm function may not converge. The nlm function will be called with the typsize argument set the absolute values of the starting values for the OLS and 2SLS methods. For the SUR and 3SLS methods, the typsize argument is set to the absolute values of the resulting OLS and 2SLS coefficient estimates from the nlm result structre. In addition, the starting values for the SUR and 3SLS methods are obtained from the OLS and 2SLS coefficient estimates to shorten the number of iterations. The number of iterations reported in the summary are only those used in the last call to nlm, thus the number of iterations in the OLS portion of the SUR fit and the 2SLS portion of the 3SLS fit are not included. ## Value nlsystemfit returns a list of the class nlsystemfit.system and contains all results that belong to the whole system. This list contains one special object: "eq". It is a list and contains one object for each estimated equation. These objects are of the class nlsystemfit.equation and contain the results that belong only to the regarding equation. The objects of the class nlsystemfit.system and nlsystemfit.equation have the following components (the elements of the latter are marked with an asterisk (*)):  eq a list object that contains a list object for each equation. method estimation method. resids an n \times g matrix of the residuals. g number of equations. n total number of observations. k total number of coefficients. b vector of all estimated coefficients. se estimated standard errors of b. t t values for b. p p values for b. bcov estimated covariance matrix of b. rcov estimated residual covariance matrix. drcov determinant of rcov. rcovest residual covariance matrix used for estimation (only SUR and 3SLS). rcor estimated residual correlation matrix. nlmest results from the nlm function call solvetol tolerance level when inverting a matrix or calculating a determinant. ## elements of the class nlsystemfit.eq  eq a list that contains the results that belong to the individual equations. eqnlabel* the equation label of the ith equation (from the labels list). formula* model formula of the ith equation. n* number of observations of the ith equation. k* number of coefficients/regressors in the ith equation. df* degrees of freedom of the ith equation. b* estimated coefficients of the ith equation. se* estimated standard errors of b. t* t values for b. p* p values for b. covb* estimated covariance matrix of b. predicted* vector of predicted values of the ith equation. residuals* vector of residuals of the ith equation. ssr* sum of squared residuals of the ith equation. mse* estimated variance of the residuals (mean of squared errors) of the ith equation. s2* estimated variance of the residuals (\hat{σ}^2) of the ith equation. rmse* estimated standard error of the residulas (square root of mse) of the ith equation. s* estimated standard error of the residuals (\hat{σ}) of the ith equation. r2* R-squared (coefficient of determination). adjr2* adjusted R-squared value. ## Author(s) Jeff D. Hamann [email protected] ## References Gallant, R. H. (1987) Nonlinear Equation Estimation, John Wiley and Sons, 610 pp. SAS Institute (1999) SAS/ETS User's Guide, Version 8, Cary NC: SAS Institute 1546 pp. ## See Also systemfit, nlm, and qr ## Examples   1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 library( systemfit ) data( ppine ) hg.formula <- hg ~ exp( h0 + h1*log(tht) + h2*tht^2 + h3*elev + h4*cr) dg.formula <- dg ~ exp( d0 + d1*log(dbh) + d2*hg + d3*cr + d4*ba ) labels <- list( "height.growth", "diameter.growth" ) inst <- ~ tht + dbh + elev + cr + ba start.values <- c(h0=-0.5, h1=0.5, h2=-0.001, h3=0.0001, h4=0.08, d0=-0.5, d1=0.009, d2=0.25, d3=0.005, d4=-0.02 ) model <- list( hg.formula, dg.formula ) model.ols <- nlsystemfit( "OLS", model, start.values, data=ppine, eqnlabels=labels ) print( model.ols ) model.sur <- nlsystemfit( "SUR", model, start.values, data=ppine, eqnlabels=labels ) print( model.sur ) model.2sls <- nlsystemfit( "2SLS", model, start.values, data=ppine, eqnlabels=labels, inst=inst ) print( model.2sls ) model.3sls <- nlsystemfit( "3SLS", model, start.values, data=ppine, eqnlabels=labels, inst=inst ) print( model.3sls )  ### Example output Loading required package: Matrix Loading required package: car Loading required package: lmtest Loading required package: zoo Attaching package: 'zoo' The following objects are masked from 'package:base': as.Date, as.Date.numeric Please cite the 'systemfit' package as: Arne Henningsen and Jeff D. Hamann (2007). systemfit: A Package for Estimating Systems of Simultaneous Equations in R. Journal of Statistical Software 23(4), 1-40. http://www.jstatsoft.org/v23/i04/. If you have questions, suggestions, or comments regarding the 'systemfit' package, please use a forum or 'tracker' at systemfit's R-Forge site: https://r-forge.r-project.org/projects/systemfit/ Warning messages: 1: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter, : NA/Inf replaced by maximum positive value 2: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter, : NA/Inf replaced by maximum positive value$eq
$eq[[1]]$method
[1] "OLS"

$i [1] 1$eqnlabel
[1] "height.growth"

$formula hg ~ exp(h0 + h1 * log(tht) + h2 * tht^2 + h3 * elev + h4 * cr)$b
h0            h1            h2            h3            h4
-0.5125587078  0.4207532666 -0.0001122495  0.0001536430  0.0845993400

$se h0 [1,] 4.702938e-01 [2,] 2.081047e-01 [3,] 3.007921e-04 [4,] 2.226427e-05 [5,] 1.464941e-02$t
h0
[1,] -1.0898692
[2,]  2.0218348
[3,] -0.3731798
[4,]  6.9008803
[5,]  5.7749311

$p h0 [1,] 2.773993e-01 [2,] 4.484944e-02 [3,] 7.095055e-01 [4,] 1.124631e-10 [5,] 3.863849e-08$n
[1] 166

$k [1] 5$df
[1] 161

$predicted [,1] [1,] 4.041648 [2,] 4.541192 [3,] 5.934397 [4,] 5.875073 [5,] 5.380850 [6,] 4.869519 [7,] 5.403979 [8,] 4.593062 [9,] 4.348993 [10,] 5.438162 [11,] 3.698608 [12,] 2.832854 [13,] 3.831431 [14,] 5.299353 [15,] 5.107354 [16,] 4.763969 [17,] 4.788288 [18,] 7.271637 [19,] 3.713791 [20,] 4.320094 [21,] 3.440131 [22,] 6.681025 [23,] 6.286435 [24,] 5.211018 [25,] 5.403979 [26,] 5.211003 [27,] 6.316420 [28,] 6.906078 [29,] 7.500303 [30,] 4.970492 [31,] 3.456607 [32,] 5.133737 [33,] 6.125762 [34,] 4.086478 [35,] 3.817085 [36,] 5.471742 [37,] 6.620397 [38,] 6.146661 [39,] 5.853734 [40,] 6.244834 [41,] 5.671051 [42,] 5.237907 [43,] 4.541141 [44,] 6.304540 [45,] 6.052145 [46,] 5.391903 [47,] 5.418815 [48,] 5.926131 [49,] 6.504803 [50,] 5.164399 [51,] 4.603851 [52,] 6.297018 [53,] 7.500782 [54,] 4.609224 [55,] 5.418815 [56,] 5.406913 [57,] 3.551454 [58,] 3.824503 [59,] 6.134112 [60,] 6.645063 [61,] 5.652614 [62,] 5.659040 [63,] 5.121548 [64,] 6.222652 [65,] 6.026606 [66,] 6.368778 [67,] 5.243357 [68,] 5.483015 [69,] 4.081686 [70,] 6.260166 [71,] 6.403707 [72,] 6.175104 [73,] 7.472574 [74,] 6.235231 [75,] 6.621119 [76,] 6.080894 [77,] 5.933956 [78,] 5.015783 [79,] 4.663540 [80,] 7.385112 [81,] 4.258321 [82,] 4.067453 [83,] 4.222441 [84,] 3.751550 [85,] 2.974481 [86,] 4.559949 [87,] 3.630734 [88,] 4.215736 [89,] 4.025814 [90,] 3.565180 [91,] 4.420640 [92,] 4.085813 [93,] 4.005981 [94,] 4.509803 [95,] 3.472775 [96,] 3.665775 [97,] 3.259613 [98,] 3.368408 [99,] 3.263850 [100,] 3.333685 [101,] 3.786635 [102,] 4.155387 [103,] 2.980494 [104,] 3.119646 [105,] 3.958657 [106,] 3.818303 [107,] 3.751550 [108,] 4.341037 [109,] 4.025814 [110,] 3.447226 [111,] 4.015277 [112,] 4.534577 [113,] 3.754373 [114,] 5.026704 [115,] 3.368408 [116,] 3.949021 [117,] 4.663679 [118,] 3.665316 [119,] 3.925762 [120,] 4.323104 [121,] 4.621358 [122,] 3.510452 [123,] 4.561191 [124,] 4.587547 [125,] 5.102449 [126,] 5.569115 [127,] 5.423036 [128,] 4.022256 [129,] 5.363876 [130,] 4.949033 [131,] 4.600287 [132,] 4.130406 [133,] 5.317830 [134,] 4.999044 [135,] 5.171810 [136,] 5.162217 [137,] 5.046124 [138,] 4.923601 [139,] 4.533648 [140,] 4.152380 [141,] 4.591826 [142,] 4.411167 [143,] 4.533648 [144,] 4.454235 [145,] 4.954010 [146,] 3.755485 [147,] 4.076642 [148,] 4.405621 [149,] 4.174439 [150,] 3.968077 [151,] 4.632855 [152,] 4.394421 [153,] 4.763781 [154,] 4.130760 [155,] 4.499987 [156,] 4.432987 [157,] 3.747908 [158,] 4.416676 [159,] 4.565665 [160,] 4.011625 [161,] 4.000857 [162,] 3.856709 [163,] 4.413876 [164,] 4.448976 [165,] 5.417853 [166,] 4.608918$residuals
[,1]
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[116,]  1.35097887
[117,] -0.16367910
[118,]  0.63468385
[119,]  1.77423839
[120,]  0.67689554
[121,]  1.77864215
[122,]  2.38954795
[123,]  0.03880923
[124,] -0.08754732
[125,] -1.00244915
[126,] -2.16911485
[127,] -1.62303591
[128,] -0.62225618
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[131,] -1.10028735
[132,]  3.76959378
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[134,] -1.59904391
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[148,]  0.69437855
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[154,] -1.03075987
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[156,] -3.03298731
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[159,]  3.23433468
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[161,]  0.59914299
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[163,] -1.11387643
[164,]  0.05102376
[165,]  1.08214719
[166,] -2.70891782

$ssr [1] 259.4263$mse
[1] 1.611343

$s2 [1] 1.611343$rmse
[1] 1.269387

$s [1] 1.269387$covb
h0            h1            h2            h3            h4
h0  2.211762e-01 -9.443516e-02  1.252400e-04  1.618822e-06 -3.269671e-04
h1 -9.443516e-02  4.330755e-02 -5.967376e-05 -1.494795e-06 -4.646789e-04
h2  1.252400e-04 -5.967376e-05  9.047591e-08  2.264834e-09  8.336480e-07
h3  1.618822e-06 -1.494795e-06  2.264834e-09  4.956976e-10  3.638582e-08
h4 -3.269671e-04 -4.646789e-04  8.336480e-07  3.638582e-08  2.146052e-04

$r2 [,1] [1,] 0.4053022$adjr2
[,1]
[1,] 0.3905271

attr(,"class")
[1] "nlsystemfit.equation"

$eq[[2]]$method
[1] "OLS"

$i [1] 2$eqnlabel
[1] "diameter.growth"

$formula dg ~ exp(d0 + d1 * log(dbh) + d2 * hg + d3 * cr + d4 * ba)$b
d0          d1          d2          d3          d4
-0.26606900  0.17040388  0.12485318  0.01987066 -0.01495275

$se d0 [1,] 0.110459505 [2,] 0.055618909 [3,] 0.012865988 [4,] 0.014037757 [5,] 0.001011669$t
d0
[1,]  -2.408747
[2,]   3.063776
[3,]   9.704127
[4,]   1.415515
[5,] -14.780279

$p d0 [1,] 0.017136505 [2,] 0.002562918 [3,] 0.000000000 [4,] 0.158849035 [5,] 0.000000000$n
[1] 166

$k [1] 5$df
[1] 161

$predicted [,1] [1,] 0.4393471 [2,] 0.5066431 [3,] 1.0531686 [4,] 0.8405805 [5,] 0.6977729 [6,] 0.6560230 [7,] 0.5659292 [8,] 0.5815599 [9,] 0.5231429 [10,] 0.6433279 [11,] 0.4903567 [12,] 0.3305556 [13,] 0.4765250 [14,] 0.7522870 [15,] 0.6188738 [16,] 0.5471352 [17,] 0.6382312 [18,] 1.0109946 [19,] 0.4610171 [20,] 0.5143023 [21,] 0.5278211 [22,] 1.1687296 [23,] 1.1329300 [24,] 0.7465218 [25,] 0.8857339 [26,] 0.8195207 [27,] 1.0706179 [28,] 1.0295509 [29,] 1.1489618 [30,] 0.9043208 [31,] 0.7438742 [32,] 0.9069565 [33,] 1.8375230 [34,] 0.8082315 [35,] 0.8321314 [36,] 1.3041848 [37,] 1.5106851 [38,] 1.5764882 [39,] 1.3791585 [40,] 1.5242287 [41,] 1.3906593 [42,] 0.2572936 [43,] 0.2027282 [44,] 0.2206388 [45,] 1.4662985 [46,] 0.6425009 [47,] 0.8083571 [48,] 1.1781968 [49,] 1.1068481 [50,] 0.9922767 [51,] 0.9111323 [52,] 1.3047381 [53,] 1.3851815 [54,] 0.8282641 [55,] 0.9726292 [56,] 1.3568097 [57,] 0.7908255 [58,] 0.7571823 [59,] 1.0772544 [60,] 1.2179820 [61,] 0.9792653 [62,] 1.3281605 [63,] 1.9308232 [64,] 1.9970709 [65,] 1.7872136 [66,] 1.8001708 [67,] 1.0790447 [68,] 1.7208757 [69,] 0.9312597 [70,] 2.0542547 [71,] 2.0751982 [72,] 2.1461564 [73,] 2.0794669 [74,] 1.6135440 [75,] 1.9319588 [76,] 1.6835970 [77,] 1.6995961 [78,] 1.4929076 [79,] 1.1533962 [80,] 1.8132348 [81,] 0.7725164 [82,] 0.7101188 [83,] 0.7703754 [84,] 0.7597352 [85,] 0.7271292 [86,] 0.9648963 [87,] 0.6910329 [88,] 0.8025053 [89,] 0.7986408 [90,] 0.7466833 [91,] 0.8120765 [92,] 0.8270036 [93,] 0.7556481 [94,] 1.4680116 [95,] 0.8885839 [96,] 1.0398567 [97,] 0.8403262 [98,] 0.9149899 [99,] 0.8245972 [100,] 0.8780466 [101,] 0.9446650 [102,] 1.0701835 [103,] 0.7438266 [104,] 0.7910138 [105,] 0.8926600 [106,] 0.9213682 [107,] 0.8718204 [108,] 0.8496518 [109,] 1.6189385 [110,] 1.4772235 [111,] 1.4080776 [112,] 1.4827277 [113,] 1.1056738 [114,] 2.0791589 [115,] 1.1640687 [116,] 1.5933211 [117,] 1.5589993 [118,] 1.3684031 [119,] 1.6624784 [120,] 1.6339925 [121,] 1.9582513 [122,] 1.6709787 [123,] 0.3010300 [124,] 0.3020485 [125,] 0.3004117 [126,] 0.2817086 [127,] 0.2932089 [128,] 0.2365907 [129,] 0.4226749 [130,] 0.3811903 [131,] 0.3422171 [132,] 0.5423089 [133,] 0.4326272 [134,] 0.2961452 [135,] 0.5185397 [136,] 0.5574486 [137,] 0.4246441 [138,] 0.6044336 [139,] 0.5362169 [140,] 0.7149184 [141,] 0.5851896 [142,] 0.5824012 [143,] 0.6044896 [144,] 0.6228854 [145,] 0.7880234 [146,] 0.5606723 [147,] 0.8271928 [148,] 1.0939221 [149,] 0.9434363 [150,] 0.6209407 [151,] 1.1320282 [152,] 0.8778344 [153,] 0.9816847 [154,] 0.8114285 [155,] 0.8640244 [156,] 0.7017111 [157,] 0.8876009 [158,] 1.0595341 [159,] 2.0280320 [160,] 1.1636495 [161,] 1.2971691 [162,] 0.9396694 [163,] 1.0987595 [164,] 1.3067846 [165,] 1.8484611 [166,] 0.9324321$residuals
[,1]
[1,] -0.2393471181
[2,] -0.0066431130
[3,]  0.0468313623
[4,]  0.0594194782
[5,] -0.1977729088
[6,] -0.0560229533
[7,] -0.1659291556
[8,]  0.1184401383
[9,] -0.0231428847
[10,]  0.0566721304
[11,]  0.0096432850
[12,] -0.0305556041
[13,] -0.3765249717
[14,]  0.0477130469
[15,] -0.3188737587
[16,] -0.2471351909
[17,]  0.0617688063
[18,]  0.4890053783
[19,]  0.0389828750
[20,]  0.1856977212
[21,] -0.0278210746
[22,]  0.0312703919
[23,] -0.1329300077
[24,] -0.2465218205
[25,] -0.3857338941
[26,] -0.2195207426
[27,] -0.0706179201
[28,]  0.1704491270
[29,] -0.0489618304
[30,] -0.3043208316
[31,]  0.0561257790
[32,] -0.0069565375
[33,] -0.2375229666
[34,]  0.2917685404
[35,]  0.2678685684
[36,]  0.0958151604
[37,] -0.1106851189
[38,] -0.0764882302
[39,] -0.1791584710
[40,] -0.1242287145
[41,] -0.0906593384
[42,]  0.3427064447
[43,]  0.2972718487
[44,]  0.4793611763
[45,]  0.1337015130
[46,]  0.0574990772
[47,]  0.1916428869
[48,]  0.4218031732
[49,]  0.1931518856
[50,] -0.0922767202
[51,] -0.1111323320
[52,] -0.2047380700
[53,]  0.4148185076
[54,]  0.2717359102
[55,]  0.1273707634
[56,]  0.4431902881
[57,]  0.4091745018
[58,]  0.6428177157
[59,]  0.4227455994
[60,]  0.6820180323
[61,]  0.4207346985
[62,] -0.2281605488
[63,] -0.4308232211
[64,] -0.2970709285
[65,]  0.3127863609
[66,] -0.4001707505
[67,] -0.2790446648
[68,]  0.5791243090
[69,] -0.3312596990
[70,]  0.6457453170
[71,] -0.2751981804
[72,] -0.2461564300
[73,]  0.3205330860
[74,] -0.0135440446
[75,]  0.1680411980
[76,]  0.3164030196
[77,]  0.4004038881
[78,] -0.0929075754
[79,]  0.3466037893
[80,] -0.2132348377
[81,]  0.1274835507
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[83,]  0.0296246029
[84,]  0.1402647784
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[90,] -0.3466832847
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[93,]  0.0443518627
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[96,]  0.0601432856
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[98,] -0.0149898766
[99,]  0.0754028096
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[101,] -0.0446650497
[102,] -0.1701835321
[103,] -0.4438266258
[104,] -0.3910138189
[105,]  0.1073399860
[106,] -0.2213682406
[107,] -0.2718203581
[108,]  0.1503481838
[109,] -0.1189385012
[110,]  0.4227765302
[111,] -0.4080776170
[112,]  0.2172722879
[113,] -0.1056738225
[114,] -0.1791588827
[115,] -0.1640686944
[116,] -0.2933211437
[117,]  0.1410007279
[118,]  0.3315969343
[119,]  0.1375215571
[120,] -0.0339924604
[121,] -0.1582513498
[122,]  0.2290212923
[123,] -0.1010299601
[124,] -0.0020484534
[125,] -0.0004117494
[126,]  0.5182913598
[127,]  0.2067910863
[128,] -0.1365906943
[129,]  0.1773251036
[130,] -0.1811903213
[131,]  0.1577829449
[132,] -0.2423088759
[133,] -0.2326271703
[134,]  0.4038548313
[135,] -0.4185396938
[136,]  0.1425514024
[137,] -0.0246441342
[138,] -0.2044336486
[139,]  0.2637831238
[140,] -0.3149183503
[141,]  0.5148103825
[142,]  0.0175987531
[143,]  0.1955103586
[144,]  0.2771146215
[145,] -0.0880234143
[146,] -0.2606723456
[147,] -0.3271927952
[148,]  0.2060778852
[149,]  0.0565636563
[150,] -0.3209407062
[151,]  0.2679717833
[152,] -0.2778343860
[153,]  0.0183152714
[154,] -0.2114285040
[155,]  0.3359756276
[156,] -0.0017111492
[157,]  0.2123991107
[158,]  0.1404658865
[159,]  0.0719680346
[160,]  0.4363505261
[161,] -0.4971691168
[162,] -0.2396693854
[163,]  0.4012404813
[164,] -0.5067846120
[165,] -0.4484611436
[166,] -0.1324321313

$ssr [1] 11.72535$mse
[1] 0.07282824

$s2 [1] 0.07282824$rmse
[1] 0.2698671

$s [1] 0.2698671$covb
d0            d1            d2            d3            d4
d0  1.220130e-02 -1.863011e-03 -4.145993e-04 -9.987896e-04 -4.076565e-05
d1 -1.863011e-03  3.093463e-03 -3.144906e-04 -2.003628e-05 -1.242376e-06
d2 -4.145993e-04 -3.144906e-04  1.655336e-04 -2.744827e-05  5.420355e-07
d3 -9.987896e-04 -2.003628e-05 -2.744827e-05  1.970586e-04  9.029890e-07
d4 -4.076565e-05 -1.242376e-06  5.420355e-07  9.029890e-07  1.023474e-06

$r2 [,1] [1,] 0.7530833$adjr2
[,1]
[1,] 0.7469487

attr(,"class")
[1] "nlsystemfit.equation"

$resids [,1] [,2] [1,] -0.54164797 -0.2393471181 [2,] -0.54119150 -0.0066431130 [3,] 2.76560339 0.0468313623 [4,] 1.22492746 0.0594194782 [5,] 0.71915007 -0.1977729088 [6,] 0.83048143 -0.0560229533 [7,] -1.30397901 -0.1659291556 [8,] 0.20693830 0.1184401383 [9,] -0.44899349 -0.0231428847 [10,] -0.73816187 0.0566721304 [11,] 0.30139171 0.0096432850 [12,] -0.33285389 -0.0305556041 [13,] -0.23143136 -0.3765249717 [14,] 0.50064676 0.0477130469 [15,] -0.50735358 -0.3188737587 [16,] -0.66396888 -0.2471351909 [17,] 0.31171203 0.0617688063 [18,] -0.07163698 0.4890053783 [19,] -0.11379098 0.0389828750 [20,] -0.62009428 0.1856977212 [21,] 1.05986853 -0.0278210746 [22,] 0.61897528 0.0312703919 [23,] 1.01356464 -0.1329300077 [24,] -0.41101774 -0.2465218205 [25,] 0.39602099 -0.3857338941 [26,] 0.08899743 -0.2195207426 [27,] 0.38357963 -0.0706179201 [28,] -0.70607774 0.1704491270 [29,] -0.80030312 -0.0489618304 [30,] -0.37049201 -0.3043208316 [31,] 0.84339310 0.0561257790 [32,] -0.93373732 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[65,] 1.07339397 0.3127863609 [66,] 0.53122198 -0.4001707505 [67,] -1.84335685 -0.2790446648 [68,] 1.61698513 0.5791243090 [69,] -0.28168630 -0.3312596990 [70,] 1.93983379 0.6457453170 [71,] 1.99629322 -0.2751981804 [72,] 1.32489629 -0.2461564300 [73,] -1.47257354 0.3205330860 [74,] -1.03523104 -0.0135440446 [75,] -0.22111876 0.1680411980 [76,] -0.58089369 0.3164030196 [77,] -0.13395627 0.4004038881 [78,] 0.08421721 -0.0929075754 [79,] -1.06354034 0.3466037893 [80,] -1.88511183 -0.2132348377 [81,] -0.65832147 0.1274835507 [82,] -0.76745321 -0.2101187741 [83,] -0.82244069 0.0296246029 [84,] 0.04845002 0.1402647784 [85,] 1.22551945 -0.3271292299 [86,] 0.24005109 -0.4648962954 [87,] -0.43073444 -0.0910328856 [88,] -0.41573621 -0.0025052514 [89,] 0.17418642 -0.0986407764 [90,] 0.13481964 -0.3466832847 [91,] -0.42063962 -0.0120765225 [92,] 0.11418709 -0.2270035734 [93,] -0.90598070 0.0443518627 [94,] 2.19019697 -0.2680116479 [95,] 0.42722464 -0.1885838810 [96,] 1.33422544 0.0601432856 [97,] 0.44038677 -0.1403261946 [98,] 0.53159172 -0.0149898766 [99,] 0.43615026 0.0754028096 [100,] 0.26631542 -0.1780466379 [101,] -0.28663506 -0.0446650497 [102,] -0.05538669 -0.1701835321 [103,] -0.18049388 -0.4438266258 [104,] -0.21964591 -0.3910138189 [105,] -0.85865719 0.1073399860 [106,] -0.51830325 -0.2213682406 [107,] -0.55154998 -0.2718203581 [108,] -1.84103706 0.1503481838 [109,] 2.17418642 -0.1189385012 [110,] 2.55277437 0.4227765302 [111,] 0.58472318 -0.4080776170 [112,] 0.46542283 0.2172722879 [113,] -0.55437328 -0.1056738225 [114,] 1.57329579 -0.1791588827 [115,] 0.13159172 -0.1640686944 [116,] 1.35097887 -0.2933211437 [117,] -0.16367910 0.1410007279 [118,] 0.63468385 0.3315969343 [119,] 1.77423839 0.1375215571 [120,] 0.67689554 -0.0339924604 [121,] 1.77864215 -0.1582513498 [122,] 2.38954795 0.2290212923 [123,] 0.03880923 -0.1010299601 [124,] -0.08754732 -0.0020484534 [125,] -1.00244915 -0.0004117494 [126,] -2.16911485 0.5182913598 [127,] -1.62303591 0.2067910863 [128,] -0.62225618 -0.1365906943 [129,] -0.36387586 0.1773251036 [130,] -0.54903280 -0.1811903213 [131,] -1.10028735 0.1577829449 [132,] 3.76959378 -0.2423088759 [133,] -0.31783049 -0.2326271703 [134,] -1.59904391 0.4038548313 [135,] 1.52818985 -0.4185396938 [136,] 1.83778289 0.1425514024 [137,] 0.05387606 -0.0246441342 [138,] -0.92360083 -0.2044336486 [139,] -1.33364825 0.2637831238 [140,] 1.64762027 -0.3149183503 [141,] -0.69182624 0.5148103825 [142,] -0.21116697 0.0175987531 [143,] -0.23364825 0.1955103586 [144,] -0.05423487 0.2771146215 [145,] 0.84598976 -0.0880234143 [146,] -3.45548526 -0.2606723456 [147,] -0.87664233 -0.3271927952 [148,] 0.69437855 0.2060778852 [149,] -0.17443877 0.0565636563 [150,] -2.66807681 -0.3209407062 [151,] 0.06714464 0.2679717833 [152,] -1.09442099 -0.2778343860 [153,] -0.76378092 0.0183152714 [154,] -1.03075987 -0.2114285040 [155,] -1.49998738 0.3359756276 [156,] -3.03298731 -0.0017111492 [157,] -1.74790763 0.2123991107 [158,] -1.81667619 0.1404658865 [159,] 3.23433468 0.0719680346 [160,] -0.21162528 0.4363505261 [161,] 0.59914299 -0.4971691168 [162,] -1.35670858 -0.2396693854 [163,] -1.11387643 0.4012404813 [164,] 0.05102376 -0.5067846120 [165,] 1.08214719 -0.4484611436 [166,] -2.70891782 -0.1324321313$method
[1] "OLS"

$n [1] 332$k
[1] 10

$b h0 h1 h2 h3 h4 -0.5125587078 0.4207532666 -0.0001122495 0.0001536430 0.0845993400 d0 d1 d2 d3 d4 -0.2660689962 0.1704038812 0.1248531830 0.0198706561 -0.0149527507$se
h0           h1           h2           h3           h4           d0
4.702938e-01 2.081047e-01 3.007921e-04 2.226427e-05 1.464941e-02 1.104595e-01
d1           d2           d3           d4
5.561891e-02 1.286599e-02 1.403776e-02 1.011669e-03

$t h0 h1 h2 h3 h4 d0 -1.0898692 2.0218348 -0.3731798 6.9008803 5.7749311 -2.4087469 d1 d2 d3 d4 3.0637761 9.7041271 1.4155150 -14.7802789$p
h0           h1           h2           h3           h4           d0
2.765857e-01 4.402012e-02 7.092602e-01 2.752776e-11 1.813498e-08 1.656864e-02
d1           d2           d3           d4
2.370196e-03 0.000000e+00 1.578840e-01 0.000000e+00

$solvtol [1] 2.220446e-16$covb
h0            h1            h2            h3            h4
h0  2.211762e-01 -9.443516e-02  1.252400e-04  1.618822e-06 -3.269671e-04
h1 -9.443516e-02  4.330755e-02 -5.967376e-05 -1.494795e-06 -4.646789e-04
h2  1.252400e-04 -5.967376e-05  9.047591e-08  2.264834e-09  8.336480e-07
h3  1.618822e-06 -1.494795e-06  2.264834e-09  4.956976e-10  3.638582e-08
h4 -3.269671e-04 -4.646789e-04  8.336480e-07  3.638582e-08  2.146052e-04
d0  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
d1  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
d2  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
d3  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
d4  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
d0            d1            d2            d3            d4
h0  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
h1  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
h2  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
h3  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
h4  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
d0  1.220130e-02 -1.863011e-03 -4.145993e-04 -9.987896e-04 -4.076565e-05
d1 -1.863011e-03  3.093463e-03 -3.144906e-04 -2.003628e-05 -1.242376e-06
d2 -4.145993e-04 -3.144906e-04  1.655336e-04 -2.744827e-05  5.420355e-07
d3 -9.987896e-04 -2.003628e-05 -2.744827e-05  1.970586e-04  9.029890e-07
d4 -4.076565e-05 -1.242376e-06  5.420355e-07  9.029890e-07  1.023474e-06

$rcov [,1] [,2] [1,] 1.61134330 -0.05189704 [2,] -0.05189704 0.07282824$rcor
[,1]       [,2]
[1,]  1.0000000 -0.1515004
[2,] -0.1515004  1.0000000

$drcov [1] 0.114658$g
[1] 2

$nlmest$nlmest$minimum [1] 271.1516$nlmest$estimate [1] -0.5125587078 0.4207532666 -0.0001122495 0.0001536430 0.0845993400 [6] -0.2660689962 0.1704038812 0.1248531830 0.0198706561 -0.0149527507$nlmest$gradient [1] 2.845601e-06 1.420859e-06 1.768007e-03 3.897520e-02 4.394103e-05 [6] -7.489638e-06 -6.064031e-06 -3.041389e-05 1.567711e-05 -3.166653e-04$nlmest$code [1] 1$nlmest$iterations [1] 104 attr(,"class") [1] "nlsystemfit.system" Warning messages: 1: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter, : NA/Inf replaced by maximum positive value 2: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter, : NA/Inf replaced by maximum positive value$eq
$eq[[1]]$method
[1] "SUR"

$i [1] 1$eqnlabel
[1] "height.growth"

$formula hg ~ exp(h0 + h1 * log(tht) + h2 * tht^2 + h3 * elev + h4 * cr)$b
h0            h1            h2            h3            h4
-4.715774e-01  3.858819e-01 -5.628742e-05  1.637233e-04  8.579685e-02

$se h0 [1,] 0.4625613594 [2,] 0.2041058227 [3,] 0.0002941711 [4,] 0.0000220272 [5,] 0.0147202403$t
h0
[1,] -1.0194916
[2,]  1.8905972
[3,] -0.1913424
[4,]  7.4327811
[5,]  5.8284954

$p h0 [1,] 3.094991e-01 [2,] 6.047476e-02 [3,] 8.484984e-01 [4,] 5.927259e-12 [5,] 2.966778e-08$n
[1] 166

$k [1] 5$df
[1] 161

$predicted [,1] [1,] 4.073965 [2,] 4.550076 [3,] 5.951350 [4,] 5.888354 [5,] 5.385318 [6,] 4.887930 [7,] 5.408229 [8,] 4.600018 [9,] 4.366011 [10,] 5.442177 [11,] 3.724646 [12,] 2.885204 [13,] 3.850419 [14,] 5.300711 [15,] 5.117431 [16,] 4.786811 [17,] 4.789310 [18,] 7.332698 [19,] 3.739006 [20,] 4.338449 [21,] 3.457673 [22,] 6.703092 [23,] 6.303480 [24,] 5.209984 [25,] 5.408229 [26,] 5.218360 [27,] 6.334692 [28,] 6.935730 [29,] 7.601845 [30,] 4.985053 [31,] 3.496135 [32,] 5.143062 [33,] 6.160736 [34,] 4.093227 [35,] 3.836817 [36,] 5.475633 [37,] 6.641471 [38,] 6.184311 [39,] 5.919754 [40,] 6.297497 [41,] 5.676721 [42,] 5.289744 [43,] 4.571145 [44,] 6.378662 [45,] 6.109418 [46,] 5.440155 [47,] 5.466572 [48,] 5.984781 [49,] 6.567803 [50,] 5.218345 [51,] 4.652539 [52,] 6.354929 [53,] 7.588165 [54,] 4.715911 [55,] 5.466572 [56,] 5.444440 [57,] 3.598131 [58,] 3.858752 [59,] 6.212337 [60,] 6.715138 [61,] 5.717208 [62,] 5.704536 [63,] 5.157466 [64,] 6.279838 [65,] 6.079226 [66,] 6.427898 [67,] 5.278921 [68,] 5.522630 [69,] 4.153045 [70,] 6.317654 [71,] 6.463614 [72,] 6.236082 [73,] 7.576619 [74,] 6.292505 [75,] 6.689392 [76,] 6.160620 [77,] 6.018292 [78,] 5.053013 [79,] 4.691355 [80,] 7.480754 [81,] 4.213693 [82,] 4.034690 [83,] 4.160139 [84,] 3.716088 [85,] 2.932312 [86,] 4.486987 [87,] 3.582389 [88,] 4.173669 [89,] 3.973569 [90,] 3.504173 [91,] 4.366828 [92,] 4.030283 [93,] 3.938901 [94,] 4.451419 [95,] 3.434415 [96,] 3.635993 [97,] 3.216081 [98,] 3.337044 [99,] 3.261977 [100,] 3.326887 [101,] 3.729450 [102,] 4.096274 [103,] 2.956078 [104,] 3.085466 [105,] 3.893398 [106,] 3.759481 [107,] 3.716088 [108,] 4.291604 [109,] 3.973569 [110,] 3.410553 [111,] 3.947863 [112,] 4.474993 [113,] 3.698915 [114,] 4.963634 [115,] 3.337044 [116,] 3.884156 [117,] 4.589959 [118,] 3.614910 [119,] 3.879342 [120,] 4.250404 [121,] 4.547764 [122,] 3.469636 [123,] 4.545673 [124,] 4.576646 [125,] 5.122533 [126,] 5.602653 [127,] 5.421228 [128,] 3.984118 [129,] 5.352412 [130,] 4.935674 [131,] 4.591815 [132,] 4.102504 [133,] 5.300159 [134,] 4.981387 [135,] 5.216259 [136,] 5.202773 [137,] 5.051408 [138,] 4.906441 [139,] 4.513841 [140,] 4.107376 [141,] 4.581725 [142,] 4.377494 [143,] 4.513841 [144,] 4.424596 [145,] 4.941441 [146,] 3.717260 [147,] 4.040283 [148,] 4.371486 [149,] 4.152543 [150,] 3.923752 [151,] 4.631256 [152,] 4.359388 [153,] 4.729926 [154,] 4.085544 [155,] 4.475590 [156,] 4.401257 [157,] 3.701774 [158,] 4.383475 [159,] 4.550895 [160,] 3.972761 [161,] 3.961301 [162,] 3.815015 [163,] 4.369797 [164,] 4.418801 [165,] 5.415114 [166,] 4.567246$residuals
[,1]
[1,] -0.573964520
[2,] -0.550075608
[3,]  2.748650175
[4,]  1.211646123
[5,]  0.714682136
[6,]  0.812070203
[7,] -1.308229266
[8,]  0.199982229
[9,] -0.466011426
[10,] -0.742177382
[11,]  0.275354355
[12,] -0.385203859
[13,] -0.250418794
[14,]  0.499288710
[15,] -0.517431118
[16,] -0.686810689
[17,]  0.310689763
[18,] -0.132697694
[19,] -0.139005831
[20,] -0.638448813
[21,]  1.042326850
[22,]  0.596908070
[23,]  0.996519991
[24,] -0.409984447
[25,]  0.391770734
[26,]  0.081639596
[27,]  0.365307634
[28,] -0.735729938
[29,] -0.901845288
[30,] -0.385053316
[31,]  0.803865012
[32,] -0.943062425
[33,]  2.639264437
[34,] -0.993226784
[35,] -0.436816594
[36,] -0.175632634
[37,]  0.058528850
[38,]  0.515689471
[39,] -0.219753700
[40,]  0.202503093
[41,]  0.323279304
[42,]  0.910255652
[43,]  0.228855240
[44,] -2.178661776
[45,]  2.990582239
[46,] -2.740154630
[47,] -0.766571910
[48,]  1.315219383
[49,] -0.367802974
[50,]  1.181655118
[51,]  1.347461370
[52,]  1.545071219
[53,] -1.588164969
[54,] -0.915911159
[55,] -1.166571910
[56,]  1.355559879
[57,]  0.101869371
[58,] -0.658752323
[59,] -1.412337002
[60,] -1.215137529
[61,] -1.717207735
[62,]  0.895463554
[63,]  2.942534224
[64,]  1.420161599
[65,]  1.020773629
[66,]  0.472101710
[67,] -1.878921151
[68,]  1.577370165
[69,] -0.353045380
[70,]  1.882345768
[71,]  1.936385811
[72,]  1.263917761
[73,] -1.576619467
[74,] -1.092504532
[75,] -0.289391729
[76,] -0.660620425
[77,] -0.218292447
[78,]  0.046987087
[79,] -1.091354779
[80,] -1.980754068
[81,] -0.613692717
[82,] -0.734689642
[83,] -0.760138596
[84,]  0.083912237
[85,]  1.267687943
[86,]  0.313012577
[87,] -0.382389465
[88,] -0.373668647
[89,]  0.226431048
[90,]  0.195826511
[91,] -0.366827939
[92,]  0.169717330
[93,] -0.838900993
[94,]  2.248580623
[95,]  0.465584915
[96,]  1.364007061
[97,]  0.483918831
[98,]  0.562956014
[99,]  0.438022822
[100,]  0.273112775
[101,] -0.229449619
[102,]  0.003725964
[103,] -0.156077810
[104,] -0.185465699
[105,] -0.793397665
[106,] -0.459481074
[107,] -0.516087763
[108,] -1.791604452
[109,]  2.226431048
[110,]  2.589446534
[111,]  0.652136703
[112,]  0.525006546
[113,] -0.498915475
[114,]  1.636365558
[115,]  0.162956014
[116,]  1.415844139
[117,] -0.089958613
[118,]  0.685090016
[119,]  1.820658024
[120,]  0.749595772
[121,]  1.852236368
[122,]  2.430364345
[123,]  0.054326520
[124,] -0.076645595
[125,] -1.022533241
[126,] -2.202652877
[127,] -1.621227899
[128,] -0.584117925
[129,] -0.352412387
[130,] -0.535674067
[131,] -1.091815139
[132,]  3.797496299
[133,] -0.300158936
[134,] -1.581387205
[135,]  1.483740595
[136,]  1.797226866
[137,]  0.048591866
[138,] -0.906440601
[139,] -1.313841465
[140,]  1.692624500
[141,] -0.681725356
[142,] -0.177494014
[143,] -0.213841465
[144,] -0.024595676
[145,]  0.858558615
[146,] -3.417260330
[147,] -0.840282784
[148,]  0.728514141
[149,] -0.152543454
[150,] -2.623752093
[151,]  0.068743551
[152,] -1.059387907
[153,] -0.729926416
[154,] -0.985544338
[155,] -1.475590485
[156,] -3.001257378
[157,] -1.701773635
[158,] -1.783475122
[159,]  3.249105309
[160,] -0.172761174
[161,]  0.638698669
[162,] -1.315015259
[163,] -1.069797461
[164,]  0.081199458
[165,]  1.084886269
[166,] -2.667245917

$ssr [1] 259.7675$mse
[1] 1.613463

$s2 [1] 1.613463$rmse
[1] 1.270221

$s [1] 1.270221$covb
h0            h1            h2            h3            h4
h0  2.139630e-01 -9.097014e-02  1.198172e-04  1.465294e-06 -3.664185e-04
h1 -9.097014e-02  4.165919e-02 -5.713139e-05 -1.417350e-06 -4.482972e-04
h2  1.198172e-04 -5.713139e-05  8.653665e-08  2.183748e-09  8.009434e-07
h3  1.465294e-06 -1.417350e-06  2.183748e-09  4.851974e-10  3.384438e-08
h4 -3.664185e-04 -4.482972e-04  8.009434e-07  3.384438e-08  2.166855e-04

$r2 [,1] [1,] 0.4045201$adjr2
[,1]
[1,] 0.3897255

attr(,"class")
[1] "nlsystemfit.equation"

$eq[[2]]$method
[1] "SUR"

$i [1] 2$eqnlabel
[1] "diameter.growth"

$formula dg ~ exp(d0 + d1 * log(dbh) + d2 * hg + d3 * cr + d4 * ba)$b
d0         d1         d2         d3         d4
-0.3029064  0.1319401  0.1434493  0.0173655 -0.0149856

$se d0 [1,] 0.1117442951 [2,] 0.0557143801 [3,] 0.0126573338 [4,] 0.0141514040 [5,] 0.0009995978$t
d0
[1,]  -2.710711
[2,]   2.368151
[3,]  11.333291
[4,]   1.227122
[5,] -14.991626

$p d0 [1,] 0.00744222 [2,] 0.01906404 [3,] 0.00000000 [4,] 0.22156795 [5,] 0.00000000$n
[1] 166

$k [1] 5$df
[1] 161

$predicted [,1] [1,] 0.4382831 [2,] 0.5009979 [3,] 1.1021509 [4,] 0.8588553 [5,] 0.7095653 [6,] 0.6639254 [7,] 0.5494639 [8,] 0.5787108 [9,] 0.5190883 [10,] 0.6337137 [11,] 0.4950503 [12,] 0.3393965 [13,] 0.4752275 [14,] 0.7516114 [15,] 0.6121111 [16,] 0.5435542 [17,] 0.6404493 [18,] 1.0148581 [19,] 0.4632082 [20,] 0.5075129 [21,] 0.5354320 [22,] 1.1891768 [23,] 1.1585779 [24,] 0.7432722 [25,] 0.8908854 [26,] 0.8194782 [27,] 1.0782340 [28,] 1.0239124 [29,] 1.1410927 [30,] 0.9060329 [31,] 0.7649848 [32,] 0.8912436 [33,] 1.9093136 [34,] 0.7930726 [35,] 0.8226347 [36,] 1.2782759 [37,] 1.5353665 [38,] 1.5806267 [39,] 1.3573332 [40,] 1.5255636 [41,] 1.3881409 [42,] 0.2649352 [43,] 0.2055080 [44,] 0.2150542 [45,] 1.5821365 [46,] 0.6178788 [47,] 0.8104994 [48,] 1.2277675 [49,] 1.1111254 [50,] 1.0285435 [51,] 0.9430798 [52,] 1.3665018 [53,] 1.3827834 [54,] 0.8344773 [55,] 0.9654734 [56,] 1.4015473 [57,] 0.7950407 [58,] 0.7509536 [59,] 1.0739236 [60,] 1.2203398 [61,] 0.9589414 [62,] 1.3684480 [63,] 2.0417782 [64,] 2.0651242 [65,] 1.8389230 [66,] 1.8356483 [67,] 1.0443913 [68,] 1.7823154 [69,] 0.9494233 [70,] 2.1607135 [71,] 2.1982203 [72,] 2.2253887 [73,] 2.0325334 [74,] 1.6055439 [75,] 1.9523718 [76,] 1.6860399 [77,] 1.7224353 [78,] 1.4987889 [79,] 1.1419471 [80,] 1.7857142 [81,] 0.7520588 [82,] 0.6947628 [83,] 0.7419856 [84,] 0.7479024 [85,] 0.7322186 [86,] 0.9430718 [87,] 0.6744095 [88,] 0.7818466 [89,] 0.7920719 [90,] 0.7315877 [91,] 0.7964738 [92,] 0.8137659 [93,] 0.7193666 [94,] 1.5021890 [95,] 0.8898250 [96,] 1.0601699 [97,] 0.8425679 [98,] 0.9102313 [99,] 0.8390409 [100,] 0.8767396 [101,] 0.9216593 [102,] 1.0460932 [103,] 0.7398008 [104,] 0.7795234 [105,] 0.8657716 [106,] 0.8955928 [107,] 0.8557590 [108,] 0.8134474 [109,] 1.6598755 [110,] 1.5287922 [111,] 1.3797062 [112,] 1.4689381 [113,] 1.0716329 [114,] 2.1099159 [115,] 1.1578694 [116,] 1.6061301 [117,] 1.5242830 [118,] 1.3623658 [119,] 1.6945500 [120,] 1.6149605 [121,] 1.9876323 [122,] 1.7138487 [123,] 0.2951857 [124,] 0.2945775 [125,] 0.2884737 [126,] 0.2661522 [127,] 0.2797118 [128,] 0.2311309 [129,] 0.4157046 [130,] 0.3723899 [131,] 0.3277832 [132,] 0.5740213 [133,] 0.4232634 [134,] 0.2940170 [135,] 0.5262574 [136,] 0.5644466 [137,] 0.4183304 [138,] 0.5856230 [139,] 0.5131413 [140,] 0.7240640 [141,] 0.5673440 [142,] 0.5732380 [143,] 0.5927669 [144,] 0.6095313 [145,] 0.7823039 [146,] 0.5195237 [147,] 0.8056641 [148,] 1.0911266 [149,] 0.9223640 [150,] 0.5891870 [151,] 1.0996719 [152,] 0.8458756 [153,] 0.9549614 [154,] 0.7884829 [155,] 0.8239099 [156,] 0.6507366 [157,] 0.8452675 [158,] 0.9990409 [159,] 2.1063920 [160,] 1.1340198 [161,] 1.2805577 [162,] 0.9061100 [163,] 1.0638689 [164,] 1.2844316 [165,] 1.8521367 [166,] 0.8775092$residuals
[,1]
[1,] -0.2382830843
[2,] -0.0009979222
[3,] -0.0021508753
[4,]  0.0411446585
[5,] -0.2095652541
[6,] -0.0639254299
[7,] -0.1494639214
[8,]  0.1212891644
[9,] -0.0190883342
[10,]  0.0662862541
[11,]  0.0049497280
[12,] -0.0393964675
[13,] -0.3752275068
[14,]  0.0483886305
[15,] -0.3121110803
[16,] -0.2435541993
[17,]  0.0595506969
[18,]  0.4851418744
[19,]  0.0367917710
[20,]  0.1924871283
[21,] -0.0354320325
[22,]  0.0108232271
[23,] -0.1585778670
[24,] -0.2432722440
[25,] -0.3908853989
[26,] -0.2194781518
[27,] -0.0782340063
[28,]  0.1760876277
[29,] -0.0410927177
[30,] -0.3060329152
[31,]  0.0350152046
[32,]  0.0087563916
[33,] -0.3093136125
[34,]  0.3069273881
[35,]  0.2773653471
[36,]  0.1217241320
[37,] -0.1353664647
[38,] -0.0806267284
[39,] -0.1573332010
[40,] -0.1255636378
[41,] -0.0881409118
[42,]  0.3350647896
[43,]  0.2944919628
[44,]  0.4849458350
[45,]  0.0178634829
[46,]  0.0821211679
[47,]  0.1895006217
[48,]  0.3722325263
[49,]  0.1888746258
[50,] -0.1285434797
[51,] -0.1430798488
[52,] -0.2665017639
[53,]  0.4172166189
[54,]  0.2655227132
[55,]  0.1345266119
[56,]  0.3984526826
[57,]  0.4049592650
[58,]  0.6490464151
[59,]  0.4260763600
[60,]  0.6796602241
[61,]  0.4410585650
[62,] -0.2684480327
[63,] -0.5417781608
[64,] -0.3651242144
[65,]  0.2610769732
[66,] -0.4356483379
[67,] -0.2443912824
[68,]  0.5176845929
[69,] -0.3494233308
[70,]  0.5392864905
[71,] -0.3982202554
[72,] -0.3253886975
[73,]  0.3674666417
[74,] -0.0055438510
[75,]  0.1476282464
[76,]  0.3139600752
[77,]  0.3775647065
[78,] -0.0987889033
[79,]  0.3580528701
[80,] -0.1857141861
[81,]  0.1479412228
[82,] -0.1947627969
[83,]  0.0580143786
[84,]  0.1520976040
[85,] -0.3322186433
[86,] -0.4430717702
[87,] -0.0744094555
[88,]  0.0181533840
[89,] -0.0920719102
[90,] -0.3315877256
[91,]  0.0035262416
[92,] -0.2137659338
[93,]  0.0806333573
[94,] -0.3021890337
[95,] -0.1898249859
[96,]  0.0398300761
[97,] -0.1425678776
[98,] -0.0102312922
[99,]  0.0609590648
[100,] -0.1767395922
[101,] -0.0216593339
[102,] -0.1460932115
[103,] -0.4398007956
[104,] -0.3795233747
[105,]  0.1342283548
[106,] -0.1955927763
[107,] -0.2557589727
[108,]  0.1865525989
[109,] -0.1598755055
[110,]  0.3712077734
[111,] -0.3797062453
[112,]  0.2310619227
[113,] -0.0716329311
[114,] -0.2099159228
[115,] -0.1578693836
[116,] -0.3061301168
[117,]  0.1757169582
[118,]  0.3376341852
[119,]  0.1054500063
[120,] -0.0149604898
[121,] -0.1876322531
[122,]  0.1861512699
[123,] -0.0951857224
[124,]  0.0054224906
[125,]  0.0115262711
[126,]  0.5338478149
[127,]  0.2202881501
[128,] -0.1311308741
[129,]  0.1842954080
[130,] -0.1723899129
[131,]  0.1722168166
[132,] -0.2740212798
[133,] -0.2232633996
[134,]  0.4059829583
[135,] -0.4262573771
[136,]  0.1355534073
[137,] -0.0183304208
[138,] -0.1856229601
[139,]  0.2868586908
[140,] -0.3240640175
[141,]  0.5326560464
[142,]  0.0267619974
[143,]  0.2072330953
[144,]  0.2904686606
[145,] -0.0823038647
[146,] -0.2195237212
[147,] -0.3056640648
[148,]  0.2088734468
[149,]  0.0776360103
[150,] -0.2891869764
[151,]  0.3003281285
[152,] -0.2458756359
[153,]  0.0450385838
[154,] -0.1884828677
[155,]  0.3760900823
[156,]  0.0492633557
[157,]  0.2547324884
[158,]  0.2009591041
[159,] -0.0063920272
[160,]  0.4659802063
[161,] -0.4805577208
[162,] -0.2061100281
[163,]  0.4361310867
[164,] -0.4844315950
[165,] -0.4521367404
[166,] -0.0775092082

$ssr [1] 11.88504$mse
[1] 0.07382011

$s2 [1] 0.07382011$rmse
[1] 0.2716986

$s [1] 0.2716986$covb
d0            d1            d2            d3            d4
d0  1.248679e-02 -1.880909e-03 -4.340259e-04 -1.028607e-03 -3.922872e-05
d1 -1.880909e-03  3.104092e-03 -3.028016e-04 -2.746389e-05 -9.581141e-07
d2 -4.340259e-04 -3.028016e-04  1.602081e-04 -2.333799e-05  4.391506e-07
d3 -1.028607e-03 -2.746389e-05 -2.333799e-05  2.002622e-04  8.819879e-07
d4 -3.922872e-05 -9.581141e-07  4.391506e-07  8.819879e-07  9.991958e-07

$r2 [,1] [1,] 0.7497204$adjr2
[,1]
[1,] 0.7435023

attr(,"class")
[1] "nlsystemfit.equation"

$resids [,1] [,2] [1,] -0.573964520 -0.2382830843 [2,] -0.550075608 -0.0009979222 [3,] 2.748650175 -0.0021508753 [4,] 1.211646123 0.0411446585 [5,] 0.714682136 -0.2095652541 [6,] 0.812070203 -0.0639254299 [7,] -1.308229266 -0.1494639214 [8,] 0.199982229 0.1212891644 [9,] -0.466011426 -0.0190883342 [10,] -0.742177382 0.0662862541 [11,] 0.275354355 0.0049497280 [12,] -0.385203859 -0.0393964675 [13,] -0.250418794 -0.3752275068 [14,] 0.499288710 0.0483886305 [15,] -0.517431118 -0.3121110803 [16,] -0.686810689 -0.2435541993 [17,] 0.310689763 0.0595506969 [18,] -0.132697694 0.4851418744 [19,] -0.139005831 0.0367917710 [20,] -0.638448813 0.1924871283 [21,] 1.042326850 -0.0354320325 [22,] 0.596908070 0.0108232271 [23,] 0.996519991 -0.1585778670 [24,] -0.409984447 -0.2432722440 [25,] 0.391770734 -0.3908853989 [26,] 0.081639596 -0.2194781518 [27,] 0.365307634 -0.0782340063 [28,] -0.735729938 0.1760876277 [29,] -0.901845288 -0.0410927177 [30,] -0.385053316 -0.3060329152 [31,] 0.803865012 0.0350152046 [32,] -0.943062425 0.0087563916 [33,] 2.639264437 -0.3093136125 [34,] -0.993226784 0.3069273881 [35,] -0.436816594 0.2773653471 [36,] -0.175632634 0.1217241320 [37,] 0.058528850 -0.1353664647 [38,] 0.515689471 -0.0806267284 [39,] -0.219753700 -0.1573332010 [40,] 0.202503093 -0.1255636378 [41,] 0.323279304 -0.0881409118 [42,] 0.910255652 0.3350647896 [43,] 0.228855240 0.2944919628 [44,] -2.178661776 0.4849458350 [45,] 2.990582239 0.0178634829 [46,] -2.740154630 0.0821211679 [47,] -0.766571910 0.1895006217 [48,] 1.315219383 0.3722325263 [49,] -0.367802974 0.1888746258 [50,] 1.181655118 -0.1285434797 [51,] 1.347461370 -0.1430798488 [52,] 1.545071219 -0.2665017639 [53,] -1.588164969 0.4172166189 [54,] -0.915911159 0.2655227132 [55,] -1.166571910 0.1345266119 [56,] 1.355559879 0.3984526826 [57,] 0.101869371 0.4049592650 [58,] -0.658752323 0.6490464151 [59,] -1.412337002 0.4260763600 [60,] -1.215137529 0.6796602241 [61,] -1.717207735 0.4410585650 [62,] 0.895463554 -0.2684480327 [63,] 2.942534224 -0.5417781608 [64,] 1.420161599 -0.3651242144 [65,] 1.020773629 0.2610769732 [66,] 0.472101710 -0.4356483379 [67,] -1.878921151 -0.2443912824 [68,] 1.577370165 0.5176845929 [69,] -0.353045380 -0.3494233308 [70,] 1.882345768 0.5392864905 [71,] 1.936385811 -0.3982202554 [72,] 1.263917761 -0.3253886975 [73,] -1.576619467 0.3674666417 [74,] -1.092504532 -0.0055438510 [75,] -0.289391729 0.1476282464 [76,] -0.660620425 0.3139600752 [77,] -0.218292447 0.3775647065 [78,] 0.046987087 -0.0987889033 [79,] -1.091354779 0.3580528701 [80,] -1.980754068 -0.1857141861 [81,] -0.613692717 0.1479412228 [82,] -0.734689642 -0.1947627969 [83,] -0.760138596 0.0580143786 [84,] 0.083912237 0.1520976040 [85,] 1.267687943 -0.3322186433 [86,] 0.313012577 -0.4430717702 [87,] -0.382389465 -0.0744094555 [88,] -0.373668647 0.0181533840 [89,] 0.226431048 -0.0920719102 [90,] 0.195826511 -0.3315877256 [91,] -0.366827939 0.0035262416 [92,] 0.169717330 -0.2137659338 [93,] -0.838900993 0.0806333573 [94,] 2.248580623 -0.3021890337 [95,] 0.465584915 -0.1898249859 [96,] 1.364007061 0.0398300761 [97,] 0.483918831 -0.1425678776 [98,] 0.562956014 -0.0102312922 [99,] 0.438022822 0.0609590648 [100,] 0.273112775 -0.1767395922 [101,] -0.229449619 -0.0216593339 [102,] 0.003725964 -0.1460932115 [103,] -0.156077810 -0.4398007956 [104,] -0.185465699 -0.3795233747 [105,] -0.793397665 0.1342283548 [106,] -0.459481074 -0.1955927763 [107,] -0.516087763 -0.2557589727 [108,] -1.791604452 0.1865525989 [109,] 2.226431048 -0.1598755055 [110,] 2.589446534 0.3712077734 [111,] 0.652136703 -0.3797062453 [112,] 0.525006546 0.2310619227 [113,] -0.498915475 -0.0716329311 [114,] 1.636365558 -0.2099159228 [115,] 0.162956014 -0.1578693836 [116,] 1.415844139 -0.3061301168 [117,] -0.089958613 0.1757169582 [118,] 0.685090016 0.3376341852 [119,] 1.820658024 0.1054500063 [120,] 0.749595772 -0.0149604898 [121,] 1.852236368 -0.1876322531 [122,] 2.430364345 0.1861512699 [123,] 0.054326520 -0.0951857224 [124,] -0.076645595 0.0054224906 [125,] -1.022533241 0.0115262711 [126,] -2.202652877 0.5338478149 [127,] -1.621227899 0.2202881501 [128,] -0.584117925 -0.1311308741 [129,] -0.352412387 0.1842954080 [130,] -0.535674067 -0.1723899129 [131,] -1.091815139 0.1722168166 [132,] 3.797496299 -0.2740212798 [133,] -0.300158936 -0.2232633996 [134,] -1.581387205 0.4059829583 [135,] 1.483740595 -0.4262573771 [136,] 1.797226866 0.1355534073 [137,] 0.048591866 -0.0183304208 [138,] -0.906440601 -0.1856229601 [139,] -1.313841465 0.2868586908 [140,] 1.692624500 -0.3240640175 [141,] -0.681725356 0.5326560464 [142,] -0.177494014 0.0267619974 [143,] -0.213841465 0.2072330953 [144,] -0.024595676 0.2904686606 [145,] 0.858558615 -0.0823038647 [146,] -3.417260330 -0.2195237212 [147,] -0.840282784 -0.3056640648 [148,] 0.728514141 0.2088734468 [149,] -0.152543454 0.0776360103 [150,] -2.623752093 -0.2891869764 [151,] 0.068743551 0.3003281285 [152,] -1.059387907 -0.2458756359 [153,] -0.729926416 0.0450385838 [154,] -0.985544338 -0.1884828677 [155,] -1.475590485 0.3760900823 [156,] -3.001257378 0.0492633557 [157,] -1.701773635 0.2547324884 [158,] -1.783475122 0.2009591041 [159,] 3.249105309 -0.0063920272 [160,] -0.172761174 0.4659802063 [161,] 0.638698669 -0.4805577208 [162,] -1.315015259 -0.2061100281 [163,] -1.069797461 0.4361310867 [164,] 0.081199458 -0.4844315950 [165,] 1.084886269 -0.4521367404 [166,] -2.667245917 -0.0775092082$method
[1] "SUR"

$n [1] 332$k
[1] 10

$b h0 h1 h2 h3 h4 -4.715774e-01 3.858819e-01 -5.628742e-05 1.637233e-04 8.579685e-02 d0 d1 d2 d3 d4 -3.029064e-01 1.319401e-01 1.434493e-01 1.736550e-02 -1.498560e-02$se
h0           h1           h2           h3           h4           d0
0.4625613594 0.2041058227 0.0002941711 0.0000220272 0.0147202403 0.1117442951
d1           d2           d3           d4
0.0557143801 0.0126573338 0.0141514040 0.0009995978

$t h0 h1 h2 h3 h4 d0 -1.0194916 1.8905972 -0.1913424 7.4327811 5.8284954 -2.7107106 d1 d2 d3 d4 2.3681512 11.3332913 1.2271224 -14.9916258$p
h0           h1           h2           h3           h4           d0
3.087350e-01 5.957581e-02 8.483779e-01 9.672263e-13 1.358015e-08 7.073872e-03
d1           d2           d3           d4
1.846751e-02 0.000000e+00 2.206730e-01 0.000000e+00

$solvtol [1] 2.220446e-16$covb
h0            h1            h2            h3            h4
h0  2.139630e-01 -9.097014e-02  1.198172e-04  1.465294e-06 -3.664185e-04
h1 -9.097014e-02  4.165919e-02 -5.713139e-05 -1.417350e-06 -4.482972e-04
h2  1.198172e-04 -5.713139e-05  8.653665e-08  2.183748e-09  8.009434e-07
h3  1.465294e-06 -1.417350e-06  2.183748e-09  4.851974e-10  3.384438e-08
h4 -3.664185e-04 -4.482972e-04  8.009434e-07  3.384438e-08  2.166855e-04
d0 -3.659149e-03  4.650864e-04  4.267866e-07  1.107221e-07  3.041462e-04
d1  2.841350e-03 -1.034923e-03  5.857918e-07 -9.634007e-10 -1.728612e-05
d2  5.058013e-05  3.098361e-05 -4.663221e-08 -2.905959e-08 -3.213424e-06
d3  9.292410e-05  4.764382e-05 -3.813526e-08  1.206417e-08 -4.464736e-05
d4 -1.831689e-05  8.305753e-06 -1.554887e-08 -1.825388e-10 -1.428953e-07
d0            d1            d2            d3            d4
h0 -3.659149e-03  2.841350e-03  5.058013e-05  9.292410e-05 -1.831689e-05
h1  4.650864e-04 -1.034923e-03  3.098361e-05  4.764382e-05  8.305753e-06
h2  4.267866e-07  5.857918e-07 -4.663221e-08 -3.813526e-08 -1.554887e-08
h3  1.107221e-07 -9.634007e-10 -2.905959e-08  1.206417e-08 -1.825388e-10
h4  3.041462e-04 -1.728612e-05 -3.213424e-06 -4.464736e-05 -1.428953e-07
d0  1.248679e-02 -1.880909e-03 -4.340259e-04 -1.028607e-03 -3.922872e-05
d1 -1.880909e-03  3.104092e-03 -3.028016e-04 -2.746389e-05 -9.581141e-07
d2 -4.340259e-04 -3.028016e-04  1.602081e-04 -2.333799e-05  4.391506e-07
d3 -1.028607e-03 -2.746389e-05 -2.333799e-05  2.002622e-04  8.819879e-07
d4 -3.922872e-05 -9.581141e-07  4.391506e-07  8.819879e-07  9.991958e-07

$rcov [,1] [,2] [1,] 1.61346253 -0.08634101 [2,] -0.08634101 0.07382011$rcor
[,1]       [,2]
[1,]  1.0000000 -0.2501753
[2,] -0.2501753  1.0000000

$drcov [1] 0.1116512$rcovest
[,1]        [,2]
[1,]  1.61134330 -0.05189704
[2,] -0.05189704  0.07282824

$g [1] 2$nlmest
$nlmest$minimum
[1] 319.4409

$nlmest$estimate
[1] -4.715774e-01  3.858819e-01 -5.628742e-05  1.637233e-04  8.579685e-02
[6] -3.029064e-01  1.319401e-01  1.434493e-01  1.736550e-02 -1.498560e-02

$nlmest$gradient
[1]  2.529550e-05 -9.743264e-05 -2.941808e-02 -2.409382e-01 -6.922808e-04
[6]  1.006024e-04 -1.618747e-04  6.180282e-05 -1.947402e-04  3.881538e-04

$nlmest$code
[1] 1

$nlmest$iterations
[1] 68

attr(,"class")
[1] "nlsystemfit.system"
Warning messages:
1: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter,  :
NA/Inf replaced by maximum positive value
2: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter,  :
NA/Inf replaced by maximum positive value
$eq$eq[[1]]
$method [1] "2SLS"$i
[1] 1

$eqnlabel [1] "height.growth"$formula
hg ~ exp(h0 + h1 * log(tht) + h2 * tht^2 + h3 * elev + h4 * cr)

$b h0 h1 h2 h3 h4 -1.9342124903 1.0393024427 -0.0010056775 0.0001385357 0.0898858315$se
h0
[1,] 1.3951881128
[2,] 0.6519172257
[3,] 0.0009691264
[4,] 0.0000294189
[5,] 0.0158145712

$t h0 [1,] -1.386345 [2,] 1.594225 [3,] -1.037716 [4,] 4.709071 [5,] 5.683735$p
h0
[1,] 1.675583e-01
[2,] 1.128470e-01
[3,] 3.009585e-01
[4,] 5.339062e-06
[5,] 6.037851e-08

$n [1] 166$k
[1] 5

$df [1] 161$predicted
[,1]
[1,] 3.577349
[2,] 4.506488
[3,] 6.142938
[4,] 6.127386
[5,] 5.650264
[6,] 4.798460
[7,] 5.682727
[8,] 4.598654
[9,] 4.154505
[10,] 5.729331
[11,] 3.241505
[12,] 1.967867
[13,] 3.489922
[14,] 5.549112
[15,] 5.220155
[16,] 4.603237
[17,] 4.928423
[18,] 7.289750
[19,] 3.269825
[20,] 4.100601
[21,] 3.040022
[22,] 7.141282
[23,] 6.648715
[24,] 5.479213
[25,] 5.682727
[26,] 5.391938
[27,] 6.667174
[28,] 7.311549
[29,] 6.983125
[30,] 4.981260
[31,] 2.796716
[32,] 5.264729
[33,] 6.100022
[34,] 3.963371
[35,] 3.463051
[36,] 5.773423
[37,] 7.078291
[38,] 6.085110
[39,] 5.257138
[40,] 5.981762
[41,] 5.994530
[42,] 5.189236
[43,] 4.533409
[44,] 6.385381
[45,] 6.248329
[46,] 5.448418
[47,] 5.491942
[48,] 6.054848
[49,] 6.778276
[50,] 5.060537
[51,] 4.372145
[52,] 6.573806
[53,] 7.917629
[54,] 3.675787
[55,] 5.491942
[56,] 5.588051
[57,] 3.041104
[58,] 3.539580
[59,] 6.088630
[60,] 6.921216
[61,] 5.593679
[62,] 5.849046
[63,] 5.236898
[64,] 6.483235
[65,] 6.231345
[66,] 6.653126
[67,] 5.402962
[68,] 5.655685
[69,] 3.412043
[70,] 6.529929
[71,] 6.688584
[72,] 6.299916
[73,] 7.542402
[74,] 6.499113
[75,] 6.854400
[76,] 5.993326
[77,] 5.725394
[78,] 5.077583
[79,] 4.724361
[80,] 7.551007
[81,] 4.246140
[82,] 3.872317
[83,] 4.457431
[84,] 3.566899
[85,] 2.846552
[86,] 4.976726
[87,] 3.615104
[88,] 4.163164
[89,] 4.097351
[90,] 3.724010
[91,] 4.557333
[92,] 4.209945
[93,] 4.285187
[94,] 4.723024
[95,] 3.309950
[96,] 3.399294
[97,] 3.157700
[98,] 3.107075
[99,] 2.634194
[100,] 2.763186
[101,] 3.907369
[102,] 4.337753
[103,] 2.619717
[104,] 2.887278
[105,] 4.208324
[106,] 3.964860
[107,] 3.566899
[108,] 4.405942
[109,] 4.097351
[110,] 3.260272
[111,] 4.299914
[112,] 4.768160
[113,] 3.848039
[114,] 5.380853
[115,] 3.107075
[116,] 4.192309
[117,] 5.094524
[118,] 3.680993
[119,] 3.905991
[120,] 4.692275
[121,] 5.049586
[122,] 3.383131
[123,] 4.375011
[124,] 4.334595
[125,] 4.492242
[126,] 4.864477
[127,] 5.205060
[128,] 4.114283
[129,] 5.285266
[130,] 4.806489
[131,] 4.312532
[132,] 4.066419
[133,] 5.329974
[134,] 5.063434
[135,] 4.245941
[136,] 4.285383
[137,] 4.638004
[138,] 4.836619
[139,] 4.410274
[140,] 4.403401
[141,] 4.327375
[142,] 4.495138
[143,] 4.410274
[144,] 4.477322
[145,] 4.799977
[146,] 3.872099
[147,] 4.218733
[148,] 4.496593
[149,] 4.020940
[150,] 4.196363
[151,] 4.247941
[152,] 4.498977
[153,] 4.924567
[154,] 4.383904
[155,] 4.444582
[156,] 4.487591
[157,] 3.959012
[158,] 4.493510
[159,] 4.368626
[160,] 4.114839
[161,] 4.114735
[162,] 4.035196
[163,] 4.710749
[164,] 4.480141
[165,] 5.213208
[166,] 4.883272

$residuals [,1] [1,] -0.077349479 [2,] -0.506488483 [3,] 2.557062399 [4,] 0.972614439 [5,] 0.449736039 [6,] 0.901539656 [7,] -1.582726993 [8,] 0.201346063 [9,] -0.254504526 [10,] -1.029330574 [11,] 0.758494796 [12,] 0.532132509 [13,] 0.110077914 [14,] 0.250888405 [15,] -0.620155410 [16,] -0.503236575 [17,] 0.171576824 [18,] -0.089749586 [19,] 0.330175461 [20,] -0.400600628 [21,] 1.459978054 [22,] 0.158717503 [23,] 0.651285383 [24,] -0.679213047 [25,] 0.117273007 [26,] -0.091938274 [27,] 0.032825814 [28,] -1.111549097 [29,] -0.283124627 [30,] -0.381259514 [31,] 1.503283599 [32,] -1.064729027 [33,] 2.699978256 [34,] -0.863370683 [35,] -0.063051402 [36,] -0.473423397 [37,] -0.378290757 [38,] 0.614890339 [39,] 0.442862224 [40,] 0.518237955 [41,] 0.005470414 [42,] 1.010763985 [43,] 0.266591146 [44,] -2.185380734 [45,] 2.851671201 [46,] -2.748417626 [47,] -0.791942196 [48,] 1.245151847 [49,] -0.578275848 [50,] 1.339462939 [51,] 1.627854569 [52,] 1.326194011 [53,] -1.917628603 [54,] 0.124212655 [55,] -1.191942196 [56,] 1.211949450 [57,] 0.658896324 [58,] -0.339580485 [59,] -1.288629792 [60,] -1.421215936 [61,] -1.593678643 [62,] 0.750953742 [63,] 2.863101864 [64,] 1.216765175 [65,] 0.868654910 [66,] 0.246873940 [67,] -2.002962383 [68,] 1.444315018 [69,] 0.387956531 [70,] 1.670070874 [71,] 1.711416280 [72,] 1.200083802 [73,] -1.542402239 [74,] -1.299112811 [75,] -0.454400016 [76,] -0.493325949 [77,] 0.074606226 [78,] 0.022416590 [79,] -1.124360888 [80,] -2.051007468 [81,] -0.646139928 [82,] -0.572317189 [83,] -1.057431285 [84,] 0.233101126 [85,] 1.353447650 [86,] -0.176726192 [87,] -0.415103885 [88,] -0.363164039 [89,] 0.102649332 [90,] -0.024009803 [91,] -0.557333150 [92,] -0.009944886 [93,] -1.185186941 [94,] 1.976976083 [95,] 0.590049602 [96,] 1.600706178 [97,] 0.542299909 [98,] 0.792924659 [99,] 1.065805560 [100,] 0.836814088 [101,] -0.407369331 [102,] -0.237752716 [103,] 0.180282929 [104,] 0.012722463 [105,] -1.108324451 [106,] -0.664860118 [107,] -0.366898874 [108,] -1.905942082 [109,] 2.102649332 [110,] 2.739727686 [111,] 0.300085831 [112,] 0.231839777 [113,] -0.648039219 [114,] 1.219147483 [115,] 0.392924659 [116,] 1.107690935 [117,] -0.594523809 [118,] 0.619007415 [119,] 1.794008846 [120,] 0.307725357 [121,] 1.350413906 [122,] 2.516868623 [123,] 0.224989240 [124,] 0.165405181 [125,] -0.392242245 [126,] -1.464476511 [127,] -1.405059753 [128,] -0.714283400 [129,] -0.285265822 [130,] -0.406488888 [131,] -0.812531610 [132,] 3.833581309 [133,] -0.329973760 [134,] -1.663433538 [135,] 2.454059295 [136,] 2.714616991 [137,] 0.461995949 [138,] -0.836618982 [139,] -1.210273961 [140,] 1.396598790 [141,] -0.427375138 [142,] -0.295138129 [143,] -0.110273961 [144,] -0.077321574 [145,] 1.000022824 [146,] -3.572098916 [147,] -1.018733397 [148,] 0.603407187 [149,] -0.020940169 [150,] -2.896362702 [151,] 0.452058561 [152,] -1.198977360 [153,] -0.924566934 [154,] -1.283903866 [155,] -1.444582321 [156,] -3.087590751 [157,] -1.959011593 [158,] -1.893509680 [159,] 3.431373994 [160,] -0.314839157 [161,] 0.485265184 [162,] -1.535195868 [163,] -1.410748768 [164,] 0.019859241 [165,] 1.286792187 [166,] -2.983272263$ssr
[1] 273.3067

$mse [1] 1.697557$s2
[1] 1.697557

$rmse [1] 1.302903$s
[1] 1.302903

$covb h0 h1 h2 h3 h4 h0 1.946550e+00 -9.064511e-01 1.336713e-03 3.006946e-05 1.065860e-02 h1 -9.064511e-01 4.249961e-01 -6.290443e-04 -1.471836e-05 -5.545614e-03 h2 1.336713e-03 -6.290443e-04 9.392059e-07 2.195111e-08 8.441270e-06 h3 3.006946e-05 -1.471836e-05 2.195111e-08 8.654718e-10 2.091295e-07 h4 1.065860e-02 -5.545614e-03 8.441270e-06 2.091295e-07 2.501007e-04$inst
~tht + dbh + elev + cr + ba

$r2 [,1] [1,] 0.3734832$adjr2
[,1]
[1,] 0.3579176

attr(,"class")
[1] "nlsystemfit.equation"

$eq[[2]]$method
[1] "2SLS"

$i [1] 2$eqnlabel
[1] "diameter.growth"

$formula dg ~ exp(d0 + d1 * log(dbh) + d2 * hg + d3 * cr + d4 * ba)$b
d0           d1           d2           d3           d4
-0.628959731  0.009037039  0.230996741  0.004895757 -0.013304979

$se d0 [1,] 0.142344774 [2,] 0.081198612 [3,] 0.028979566 [4,] 0.017024123 [5,] 0.001201182$t
d0
[1,]  -4.4185657
[2,]   0.1112955
[3,]   7.9710214
[4,]   0.2875776
[5,] -11.0765687

$p d0 [1,] 1.817929e-05 [2,] 9.115207e-01 [3,] 2.731149e-13 [4,] 7.740399e-01 [5,] 0.000000e+00$n
[1] 166

$k [1] 5$df
[1] 161

$predicted [,1] [1,] 0.4377423 [2,] 0.4934276 [3,] 1.4782134 [4,] 1.0200752 [5,] 0.8070467 [6,] 0.7353594 [7,] 0.5095481 [8,] 0.5947791 [9,] 0.5112926 [10,] 0.6209506 [11,] 0.5191046 [12,] 0.3616895 [13,] 0.4738248 [14,] 0.7983286 [15,] 0.6059266 [16,] 0.5380961 [17,] 0.6763685 [18,] 1.1230987 [19,] 0.4729942 [20,] 0.4884139 [21,] 0.5807704 [22,] 1.3483265 [23,] 1.3409421 [24,] 0.7427676 [25,] 0.9416831 [26,] 0.8382870 [27,] 1.1685306 [28,] 1.0463699 [29,] 1.1774303 [30,] 0.8875544 [31,] 0.8149407 [32,] 0.8114916 [33,] 2.3647945 [34,] 0.6928847 [35,] 0.7422765 [36,] 1.1732688 [37,] 1.6313342 [38,] 1.6225118 [39,] 1.2823139 [40,] 1.5485400 [41,] 1.3774875 [42,] 0.3536507 [43,] 0.2531190 [44,] 0.2256741 [45,] 2.2612991 [46,] 0.5129053 [47,] 0.8132351 [48,] 1.4925148 [49,] 1.1622254 [50,] 1.2039103 [51,] 1.0913967 [52,] 1.7168616 [53,] 1.3637237 [54,] 0.8038334 [55,] 0.9034842 [56,] 1.6052090 [57,] 0.7721151 [58,] 0.6885861 [59,] 1.0240785 [60,] 1.2060703 [61,] 0.8482272 [62,] 1.5389326 [63,] 2.5569145 [64,] 2.3596754 [65,] 2.0424886 [66,] 1.9611262 [67,] 0.8636208 [68,] 2.0305791 [69,] 0.9373648 [70,] 2.6437780 [71,] 2.7666079 [72,] 2.5218228 [73,] 1.8119954 [74,] 1.4882978 [75,] 1.9668531 [76,] 1.6016615 [77,] 1.7140444 [78,] 1.4381974 [79,] 1.0093456 [80,] 1.6079748 [81,] 0.6549759 [82,] 0.6096100 [83,] 0.6237404 [84,] 0.6818072 [85,] 0.7355693 [86,] 0.8641962 [87,] 0.5906674 [88,] 0.6864225 [89,] 0.7478075 [90,] 0.6609687 [91,] 0.7183789 [92,] 0.7491928 [93,] 0.5803063 [94,] 1.6308964 [95,] 0.8407763 [96,] 1.0893296 [97,] 0.7984300 [98,] 0.8420830 [99,] 0.8231199 [100,] 0.8075420 [101,] 0.7896532 [102,] 0.9129465 [103,] 0.6638214 [104,] 0.6811023 [105,] 0.7197045 [106,] 0.7540017 [107,] 0.7379437 [108,] 0.6322474 [109,] 1.7501717 [110,] 1.6588734 [111,] 1.2086098 [112,] 1.3359524 [113,] 0.8715547 [114,] 2.1313363 [115,] 1.0190779 [116,] 1.5518083 [117,] 1.3003165 [118,] 1.2299520 [119,] 1.7079031 [120,] 1.4527307 [121,] 2.0157934 [122,] 1.7799227 [123,] 0.3130979 [124,] 0.3062058 [125,] 0.2809175 [126,] 0.2401902 [127,] 0.2633025 [128,] 0.2352500 [129,] 0.4330699 [130,] 0.3750103 [131,] 0.3035219 [132,] 0.8315401 [133,] 0.4336048 [134,] 0.2990814 [135,] 0.6386369 [136,] 0.6857313 [137,] 0.4413072 [138,] 0.5348862 [139,] 0.4424648 [140,] 0.8051195 [141,] 0.5201195 [142,] 0.5561944 [143,] 0.5699391 [144,] 0.5837991 [145,] 0.8124025 [146,] 0.3509650 [147,] 0.6894139 [148,] 1.0675645 [149,] 0.8243800 [150,] 0.4416318 [151,] 0.9776981 [152,] 0.7045706 [153,] 0.8324916 [154,] 0.6708475 [155,] 0.6581514 [156,] 0.4545916 [157,] 0.6384757 [158,] 0.7402152 [159,] 2.4605103 [160,] 0.9700236 [161,] 1.1674549 [162,] 0.7191978 [163,] 0.8711146 [164,] 1.1463949 [165,] 1.8430980 [166,] 0.6307712$residuals
[,1]
[1,] -0.237742262
[2,]  0.006572417
[3,] -0.378213369
[4,] -0.120075248
[5,] -0.307046733
[6,] -0.135359422
[7,] -0.109548148
[8,]  0.105220912
[9,] -0.011292640
[10,]  0.079049351
[11,] -0.019104552
[12,] -0.061689548
[13,] -0.373824841
[14,]  0.001671380
[15,] -0.305926607
[16,] -0.238096124
[17,]  0.023631537
[18,]  0.376901317
[19,]  0.027005801
[20,]  0.211586119
[21,] -0.080770444
[22,] -0.148326539
[23,] -0.340942066
[24,] -0.242767592
[25,] -0.441683058
[26,] -0.238287033
[27,] -0.168530550
[28,]  0.153630056
[29,] -0.077430260
[30,] -0.287554446
[31,] -0.014940686
[32,]  0.088508386
[33,] -0.764794509
[34,]  0.407115262
[35,]  0.357723536
[36,]  0.226731216
[37,] -0.231334215
[38,] -0.122511810
[39,] -0.082313910
[40,] -0.148540015
[41,] -0.077487480
[42,]  0.246349309
[43,]  0.246881010
[44,]  0.474325856
[45,] -0.661299132
[46,]  0.187094710
[47,]  0.186764870
[48,]  0.107485214
[49,]  0.137774582
[50,] -0.303910308
[51,] -0.291396731
[52,] -0.616861631
[53,]  0.436276280
[54,]  0.296166624
[55,]  0.196515805
[56,]  0.194791005
[57,]  0.427884913
[58,]  0.711413879
[59,]  0.475921462
[60,]  0.693929704
[61,]  0.551772771
[62,] -0.438932585
[63,] -1.056914462
[64,] -0.659675411
[65,]  0.057511436
[66,] -0.561126243
[67,] -0.063620815
[68,]  0.269420856
[69,] -0.337364816
[70,]  0.056221951
[71,] -0.966607932
[72,] -0.621822752
[73,]  0.588004581
[74,]  0.111702187
[75,]  0.133146888
[76,]  0.398338524
[77,]  0.385955603
[78,] -0.038197434
[79,]  0.490654414
[80,] -0.007974801
[81,]  0.245024055
[82,] -0.109609989
[83,]  0.176259580
[84,]  0.218192837
[85,] -0.335569348
[86,] -0.364196218
[87,]  0.009332612
[88,]  0.113577479
[89,] -0.047807478
[90,] -0.260968652
[91,]  0.081621057
[92,] -0.149192753
[93,]  0.219693701
[94,] -0.430896371
[95,] -0.140776266
[96,]  0.010670375
[97,] -0.098429960
[98,]  0.057916979
[99,]  0.076880105
[100,] -0.107541992
[101,]  0.110346764
[102,] -0.012946462
[103,] -0.363821365
[104,] -0.281102326
[105,]  0.280295456
[106,] -0.054001652
[107,] -0.137943673
[108,]  0.367752635
[109,] -0.250171664
[110,]  0.241126636
[111,] -0.208609802
[112,]  0.364047623
[113,]  0.128445259
[114,] -0.231336295
[115,] -0.019077858
[116,] -0.251808314
[117,]  0.399683533
[118,]  0.470048004
[119,]  0.092096943
[120,]  0.147269301
[121,] -0.215793413
[122,]  0.120077317
[123,] -0.113097878
[124,] -0.006205804
[125,]  0.019082485
[126,]  0.559809764
[127,]  0.236697548
[128,] -0.135250032
[129,]  0.166930076
[130,] -0.175010286
[131,]  0.196478078
[132,] -0.531540112
[133,] -0.233604765
[134,]  0.400918599
[135,] -0.538636911
[136,]  0.014268717
[137,] -0.041307227
[138,] -0.134886184
[139,]  0.357535235
[140,] -0.405119522
[141,]  0.579880521
[142,]  0.043805602
[143,]  0.230060873
[144,]  0.316200896
[145,] -0.112402548
[146,] -0.050965024
[147,] -0.189413880
[148,]  0.232435534
[149,]  0.175620016
[150,] -0.141631836
[151,]  0.422301929
[152,] -0.104570646
[153,]  0.167508441
[154,] -0.070847512
[155,]  0.541848569
[156,]  0.245408443
[157,]  0.461524294
[158,]  0.459784783
[159,] -0.360510263
[160,]  0.629976417
[161,] -0.367454850
[162,] -0.019197837
[163,]  0.628885353
[164,] -0.346394867
[165,] -0.443097958
[166,]  0.169228826

$ssr [1] 17.28106$mse
[1] 0.1073358

$s2 [1] 0.1073358$rmse
[1] 0.3276214

$s [1] 0.3276214$covb
d0            d1            d2            d3            d4
d0  2.026203e-02  1.166431e-03 -2.136763e-03 -1.162945e-03 -6.075379e-05
d1  1.166431e-03  6.593215e-03 -1.693438e-03  1.240674e-04 -7.930353e-06
d2 -2.136763e-03 -1.693438e-03  8.398152e-04 -1.229485e-04  2.681610e-06
d3 -1.162945e-03  1.240674e-04 -1.229485e-04  2.898208e-04  7.802461e-07
d4 -6.075379e-05 -7.930353e-06  2.681610e-06  7.802461e-07  1.442839e-06

$inst ~tht + dbh + elev + cr + ba$r2
[,1]
[1,] 0.636089

$adjr2 [,1] [1,] 0.6270478 attr(,"class") [1] "nlsystemfit.equation"$resids
[,1]         [,2]
[1,] -0.077349479 -0.237742262
[2,] -0.506488483  0.006572417
[3,]  2.557062399 -0.378213369
[4,]  0.972614439 -0.120075248
[5,]  0.449736039 -0.307046733
[6,]  0.901539656 -0.135359422
[7,] -1.582726993 -0.109548148
[8,]  0.201346063  0.105220912
[9,] -0.254504526 -0.011292640
[10,] -1.029330574  0.079049351
[11,]  0.758494796 -0.019104552
[12,]  0.532132509 -0.061689548
[13,]  0.110077914 -0.373824841
[14,]  0.250888405  0.001671380
[15,] -0.620155410 -0.305926607
[16,] -0.503236575 -0.238096124
[17,]  0.171576824  0.023631537
[18,] -0.089749586  0.376901317
[19,]  0.330175461  0.027005801
[20,] -0.400600628  0.211586119
[21,]  1.459978054 -0.080770444
[22,]  0.158717503 -0.148326539
[23,]  0.651285383 -0.340942066
[24,] -0.679213047 -0.242767592
[25,]  0.117273007 -0.441683058
[26,] -0.091938274 -0.238287033
[27,]  0.032825814 -0.168530550
[28,] -1.111549097  0.153630056
[29,] -0.283124627 -0.077430260
[30,] -0.381259514 -0.287554446
[31,]  1.503283599 -0.014940686
[32,] -1.064729027  0.088508386
[33,]  2.699978256 -0.764794509
[34,] -0.863370683  0.407115262
[35,] -0.063051402  0.357723536
[36,] -0.473423397  0.226731216
[37,] -0.378290757 -0.231334215
[38,]  0.614890339 -0.122511810
[39,]  0.442862224 -0.082313910
[40,]  0.518237955 -0.148540015
[41,]  0.005470414 -0.077487480
[42,]  1.010763985  0.246349309
[43,]  0.266591146  0.246881010
[44,] -2.185380734  0.474325856
[45,]  2.851671201 -0.661299132
[46,] -2.748417626  0.187094710
[47,] -0.791942196  0.186764870
[48,]  1.245151847  0.107485214
[49,] -0.578275848  0.137774582
[50,]  1.339462939 -0.303910308
[51,]  1.627854569 -0.291396731
[52,]  1.326194011 -0.616861631
[53,] -1.917628603  0.436276280
[54,]  0.124212655  0.296166624
[55,] -1.191942196  0.196515805
[56,]  1.211949450  0.194791005
[57,]  0.658896324  0.427884913
[58,] -0.339580485  0.711413879
[59,] -1.288629792  0.475921462
[60,] -1.421215936  0.693929704
[61,] -1.593678643  0.551772771
[62,]  0.750953742 -0.438932585
[63,]  2.863101864 -1.056914462
[64,]  1.216765175 -0.659675411
[65,]  0.868654910  0.057511436
[66,]  0.246873940 -0.561126243
[67,] -2.002962383 -0.063620815
[68,]  1.444315018  0.269420856
[69,]  0.387956531 -0.337364816
[70,]  1.670070874  0.056221951
[71,]  1.711416280 -0.966607932
[72,]  1.200083802 -0.621822752
[73,] -1.542402239  0.588004581
[74,] -1.299112811  0.111702187
[75,] -0.454400016  0.133146888
[76,] -0.493325949  0.398338524
[77,]  0.074606226  0.385955603
[78,]  0.022416590 -0.038197434
[79,] -1.124360888  0.490654414
[80,] -2.051007468 -0.007974801
[81,] -0.646139928  0.245024055
[82,] -0.572317189 -0.109609989
[83,] -1.057431285  0.176259580
[84,]  0.233101126  0.218192837
[85,]  1.353447650 -0.335569348
[86,] -0.176726192 -0.364196218
[87,] -0.415103885  0.009332612
[88,] -0.363164039  0.113577479
[89,]  0.102649332 -0.047807478
[90,] -0.024009803 -0.260968652
[91,] -0.557333150  0.081621057
[92,] -0.009944886 -0.149192753
[93,] -1.185186941  0.219693701
[94,]  1.976976083 -0.430896371
[95,]  0.590049602 -0.140776266
[96,]  1.600706178  0.010670375
[97,]  0.542299909 -0.098429960
[98,]  0.792924659  0.057916979
[99,]  1.065805560  0.076880105
[100,]  0.836814088 -0.107541992
[101,] -0.407369331  0.110346764
[102,] -0.237752716 -0.012946462
[103,]  0.180282929 -0.363821365
[104,]  0.012722463 -0.281102326
[105,] -1.108324451  0.280295456
[106,] -0.664860118 -0.054001652
[107,] -0.366898874 -0.137943673
[108,] -1.905942082  0.367752635
[109,]  2.102649332 -0.250171664
[110,]  2.739727686  0.241126636
[111,]  0.300085831 -0.208609802
[112,]  0.231839777  0.364047623
[113,] -0.648039219  0.128445259
[114,]  1.219147483 -0.231336295
[115,]  0.392924659 -0.019077858
[116,]  1.107690935 -0.251808314
[117,] -0.594523809  0.399683533
[118,]  0.619007415  0.470048004
[119,]  1.794008846  0.092096943
[120,]  0.307725357  0.147269301
[121,]  1.350413906 -0.215793413
[122,]  2.516868623  0.120077317
[123,]  0.224989240 -0.113097878
[124,]  0.165405181 -0.006205804
[125,] -0.392242245  0.019082485
[126,] -1.464476511  0.559809764
[127,] -1.405059753  0.236697548
[128,] -0.714283400 -0.135250032
[129,] -0.285265822  0.166930076
[130,] -0.406488888 -0.175010286
[131,] -0.812531610  0.196478078
[132,]  3.833581309 -0.531540112
[133,] -0.329973760 -0.233604765
[134,] -1.663433538  0.400918599
[135,]  2.454059295 -0.538636911
[136,]  2.714616991  0.014268717
[137,]  0.461995949 -0.041307227
[138,] -0.836618982 -0.134886184
[139,] -1.210273961  0.357535235
[140,]  1.396598790 -0.405119522
[141,] -0.427375138  0.579880521
[142,] -0.295138129  0.043805602
[143,] -0.110273961  0.230060873
[144,] -0.077321574  0.316200896
[145,]  1.000022824 -0.112402548
[146,] -3.572098916 -0.050965024
[147,] -1.018733397 -0.189413880
[148,]  0.603407187  0.232435534
[149,] -0.020940169  0.175620016
[150,] -2.896362702 -0.141631836
[151,]  0.452058561  0.422301929
[152,] -1.198977360 -0.104570646
[153,] -0.924566934  0.167508441
[154,] -1.283903866 -0.070847512
[155,] -1.444582321  0.541848569
[156,] -3.087590751  0.245408443
[157,] -1.959011593  0.461524294
[158,] -1.893509680  0.459784783
[159,]  3.431373994 -0.360510263
[160,] -0.314839157  0.629976417
[161,]  0.485265184 -0.367454850
[162,] -1.535195868 -0.019197837
[163,] -1.410748768  0.628885353
[164,]  0.019859241 -0.346394867
[165,]  1.286792187 -0.443097958
[166,] -2.983272263  0.169228826

$method [1] "2SLS"$n
[1] 332

$k [1] 10$b
h0            h1            h2            h3            h4
-1.9342124903  1.0393024427 -0.0010056775  0.0001385357  0.0898858315
d0            d1            d2            d3            d4
-0.6289597309  0.0090370390  0.2309967411  0.0048957567 -0.0133049786

$se h0 h1 h2 h3 h4 d0 1.3951881128 0.6519172257 0.0009691264 0.0000294189 0.0158145712 0.1423447737 d1 d2 d3 d4 0.0811986117 0.0289795659 0.0170241233 0.0012011823$t
h0          h1          h2          h3          h4          d0
-1.3863453   1.5942245  -1.0377155   4.7090706   5.6837350  -4.4185657
d1          d2          d3          d4
0.1112955   7.9710214   0.2875776 -11.0765687

$p h0 h1 h2 h3 h4 d0 1.666006e-01 1.118668e-01 3.001811e-01 3.704421e-06 2.953564e-08 1.359267e-05 d1 d2 d3 d4 9.114514e-01 2.753353e-14 7.738551e-01 0.000000e+00$solvtol
[1] 2.220446e-16

$covb h0 h1 h2 h3 h4 h0 1.946550e+00 -9.064511e-01 1.336713e-03 3.006946e-05 1.065860e-02 h1 -9.064511e-01 4.249961e-01 -6.290443e-04 -1.471836e-05 -5.545614e-03 h2 1.336713e-03 -6.290443e-04 9.392059e-07 2.195111e-08 8.441270e-06 h3 3.006946e-05 -1.471836e-05 2.195111e-08 8.654718e-10 2.091295e-07 h4 1.065860e-02 -5.545614e-03 8.441270e-06 2.091295e-07 2.501007e-04 d0 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 d1 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 d2 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 d3 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 d4 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 d0 d1 d2 d3 d4 h0 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 h1 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 h2 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 h3 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 h4 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 d0 2.026203e-02 1.166431e-03 -2.136763e-03 -1.162945e-03 -6.075379e-05 d1 1.166431e-03 6.593215e-03 -1.693438e-03 1.240674e-04 -7.930353e-06 d2 -2.136763e-03 -1.693438e-03 8.398152e-04 -1.229485e-04 2.681610e-06 d3 -1.162945e-03 1.240674e-04 -1.229485e-04 2.898208e-04 7.802461e-07 d4 -6.075379e-05 -7.930353e-06 2.681610e-06 7.802461e-07 1.442839e-06$rcov
[,1]       [,2]
[1,]  1.6975574 -0.2210467
[2,] -0.2210467  0.1073358

$rcor [,1] [,2] [1,] 1.0000000 -0.5179185 [2,] -0.5179185 1.0000000$drcov
[1] 0.133347

$g [1] 2$nlmest
$nlmest$minimum
[1] 9.99963e-06

$nlmest$estimate
[1] -1.9342124903  1.0393024427 -0.0010056775  0.0001385357  0.0898858315
[6] -0.6289597309  0.0090370390  0.2309967411  0.0048957567 -0.0133049786

$nlmest$gradient
[1]  1.714752e-05  3.651932e-05 -1.877645e-03  5.998463e-02  1.071991e-04
[6] -6.660437e-05 -4.818747e-03  1.453480e-05  8.529849e-02  4.968707e-05

$nlmest$code
[1] 2

$nlmest$iterations
[1] 74

attr(,"class")
[1] "nlsystemfit.system"
Warning messages:
1: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter,  :
NA/Inf replaced by maximum positive value
2: In nlm(knls, startvals, typsize = abs(startvals), iterlim = maxiter,  :
NA/Inf replaced by maximum positive value
$eq$eq[[1]]
$method [1] "3SLS"$i
[1] 1

$eqnlabel [1] "height.growth"$formula
hg ~ exp(h0 + h1 * log(tht) + h2 * tht^2 + h3 * elev + h4 * cr)

$b h0 h1 h2 h3 h4 -1.9342127533 1.0393025542 -0.0010056776 0.0001385357 0.0898858315$se
h0
[1,] 1.630889e+00
[2,] 7.620515e-01
[3,] 1.132460e-03
[4,] 3.420511e-05
[5,] 1.848482e-02

$t h0 [1,] -1.1859870 [2,] 1.3638220 [3,] -0.8880471 [4,] 4.0501458 [5,] 4.8626839$p
h0
[1,] 2.373748e-01
[2,] 1.745273e-01
[3,] 3.758402e-01
[4,] 7.939130e-05
[5,] 2.733731e-06

$n [1] 166$k
[1] 5

$df [1] 161$predicted
[,1]
[1,] 3.577349
[2,] 4.506488
[3,] 6.142938
[4,] 6.127386
[5,] 5.650264
[6,] 4.798460
[7,] 5.682727
[8,] 4.598654
[9,] 4.154504
[10,] 5.729331
[11,] 3.241505
[12,] 1.967867
[13,] 3.489922
[14,] 5.549112
[15,] 5.220155
[16,] 4.603237
[17,] 4.928423
[18,] 7.289750
[19,] 3.269824
[20,] 4.100601
[21,] 3.040022
[22,] 7.141283
[23,] 6.648715
[24,] 5.479213
[25,] 5.682727
[26,] 5.391938
[27,] 6.667174
[28,] 7.311549
[29,] 6.983125
[30,] 4.981259
[31,] 2.796716
[32,] 5.264729
[33,] 6.100022
[34,] 3.963371
[35,] 3.463051
[36,] 5.773423
[37,] 7.078291
[38,] 6.085110
[39,] 5.257138
[40,] 5.981762
[41,] 5.994530
[42,] 5.189236
[43,] 4.533409
[44,] 6.385381
[45,] 6.248329
[46,] 5.448418
[47,] 5.491942
[48,] 6.054848
[49,] 6.778276
[50,] 5.060537
[51,] 4.372145
[52,] 6.573806
[53,] 7.917629
[54,] 3.675787
[55,] 5.491942
[56,] 5.588051
[57,] 3.041104
[58,] 3.539580
[59,] 6.088630
[60,] 6.921216
[61,] 5.593679
[62,] 5.849046
[63,] 5.236898
[64,] 6.483235
[65,] 6.231345
[66,] 6.653126
[67,] 5.402962
[68,] 5.655685
[69,] 3.412043
[70,] 6.529929
[71,] 6.688584
[72,] 6.299916
[73,] 7.542402
[74,] 6.499113
[75,] 6.854400
[76,] 5.993326
[77,] 5.725394
[78,] 5.077583
[79,] 4.724361
[80,] 7.551007
[81,] 4.246140
[82,] 3.872317
[83,] 4.457431
[84,] 3.566899
[85,] 2.846552
[86,] 4.976726
[87,] 3.615104
[88,] 4.163164
[89,] 4.097351
[90,] 3.724010
[91,] 4.557333
[92,] 4.209945
[93,] 4.285187
[94,] 4.723024
[95,] 3.309950
[96,] 3.399294
[97,] 3.157700
[98,] 3.107075
[99,] 2.634194
[100,] 2.763186
[101,] 3.907369
[102,] 4.337753
[103,] 2.619717
[104,] 2.887277
[105,] 4.208324
[106,] 3.964860
[107,] 3.566899
[108,] 4.405942
[109,] 4.097351
[110,] 3.260272
[111,] 4.299914
[112,] 4.768160
[113,] 3.848039
[114,] 5.380853
[115,] 3.107075
[116,] 4.192309
[117,] 5.094524
[118,] 3.680993
[119,] 3.905991
[120,] 4.692275
[121,] 5.049586
[122,] 3.383131
[123,] 4.375011
[124,] 4.334595
[125,] 4.492242
[126,] 4.864476
[127,] 5.205060
[128,] 4.114283
[129,] 5.285266
[130,] 4.806489
[131,] 4.312532
[132,] 4.066419
[133,] 5.329974
[134,] 5.063433
[135,] 4.245941
[136,] 4.285383
[137,] 4.638004
[138,] 4.836619
[139,] 4.410274
[140,] 4.403401
[141,] 4.327375
[142,] 4.495138
[143,] 4.410274
[144,] 4.477322
[145,] 4.799977
[146,] 3.872099
[147,] 4.218733
[148,] 4.496593
[149,] 4.020940
[150,] 4.196363
[151,] 4.247941
[152,] 4.498977
[153,] 4.924567
[154,] 4.383904
[155,] 4.444582
[156,] 4.487591
[157,] 3.959012
[158,] 4.493510
[159,] 4.368626
[160,] 4.114839
[161,] 4.114735
[162,] 4.035196
[163,] 4.710749
[164,] 4.480141
[165,] 5.213208
[166,] 4.883272

$residuals [,1] [1,] -0.077349367 [2,] -0.506488444 [3,] 2.557062358 [4,] 0.972614396 [5,] 0.449736021 [6,] 0.901539710 [7,] -1.582727013 [8,] 0.201346094 [9,] -0.254504457 [10,] -1.029330598 [11,] 0.758494900 [12,] 0.532132656 [13,] 0.110078001 [14,] 0.250888364 [15,] -0.620155392 [16,] -0.503236504 [17,] 0.171576827 [18,] -0.089749602 [19,] 0.330175563 [20,] -0.400600555 [21,] 1.459978144 [22,] 0.158717456 [23,] 0.651285335 [24,] -0.679213086 [25,] 0.117272987 [26,] -0.091938271 [27,] 0.032825766 [28,] -1.111549149 [29,] -0.283124581 [30,] -0.381259475 [31,] 1.503283732 [32,] -1.064729013 [33,] 2.699978239 [34,] -0.863370634 [35,] -0.063051314 [36,] -0.473423425 [37,] -0.378290801 [38,] 0.614890327 [39,] 0.442862271 [40,] 0.518237965 [41,] 0.005470372 [42,] 1.010764031 [43,] 0.266591167 [44,] -2.185380694 [45,] 2.851671203 [46,] -2.748417602 [47,] -0.791942176 [48,] 1.245151865 [49,] -0.578275881 [50,] 1.339462995 [51,] 1.627854641 [52,] 1.326193989 [53,] -1.917628632 [54,] 0.124212847 [55,] -1.191942176 [56,] 1.211949425 [57,] 0.658896429 [58,] -0.339580417 [59,] -1.288629727 [60,] -1.421215940 [61,] -1.593678585 [62,] 0.750953733 [63,] 2.863101864 [64,] 1.216765159 [65,] 0.868654879 [66,] 0.246873913 [67,] -2.002962396 [68,] 1.444314990 [69,] 0.387956671 [70,] 1.670070855 [71,] 1.711416251 [72,] 1.200083774 [73,] -1.542402258 [74,] -1.299112828 [75,] -0.454400050 [76,] -0.493325876 [77,] 0.074606321 [78,] 0.022416603 [79,] -1.124360883 [80,] -2.051007496 [81,] -0.646139878 [82,] -0.572317108 [83,] -1.057431291 [84,] 0.233101198 [85,] 1.353447694 [86,] -0.176726244 [87,] -0.415103850 [88,] -0.363163982 [89,] 0.102649358 [90,] -0.024009809 [91,] -0.557333128 [92,] -0.009944870 [93,] -1.185186966 [94,] 1.976976091 [95,] 0.590049663 [96,] 1.600706263 [97,] 0.542299954 [98,] 0.792924736 [99,] 1.065805695 [100,] 0.836814215 [101,] -0.407369322 [102,] -0.237752712 [103,] 0.180283015 [104,] 0.012722530 [105,] -1.108324469 [106,] -0.664860114 [107,] -0.366898802 [108,] -1.905942046 [109,] 2.102649358 [110,] 2.739727751 [111,] 0.300085805 [112,] 0.231839780 [113,] -0.648039205 [114,] 1.219147472 [115,] 0.392924736 [116,] 1.107690919 [117,] -0.594523869 [118,] 0.619007445 [119,] 1.794008889 [120,] 0.307725300 [121,] 1.350413849 [122,] 2.516868678 [123,] 0.224989236 [124,] 0.165405186 [125,] -0.392242197 [126,] -1.464476450 [127,] -1.405059750 [128,] -0.714283435 [129,] -0.285265836 [130,] -0.406488896 [131,] -0.812531601 [132,] 3.833581291 [133,] -0.329973785 [134,] -1.663433496 [135,] 2.454059380 [136,] 2.714617070 [137,] 0.461995973 [138,] -0.836618996 [139,] -1.210273972 [140,] 1.396598747 [141,] -0.427375132 [142,] -0.295138162 [143,] -0.110273972 [144,] -0.077321601 [145,] 1.000022818 [146,] -3.572098918 [147,] -1.018733397 [148,] 0.603407153 [149,] -0.020940177 [150,] -2.896362731 [151,] 0.452058581 [152,] -1.198977396 [153,] -0.924566975 [154,] -1.283903909 [155,] -1.444582339 [156,] -3.087590782 [157,] -1.959011629 [158,] -1.893509713 [159,] 3.431373992 [160,] -0.314839193 [161,] 0.485265147 [162,] -1.535195884 [163,] -1.410748809 [164,] 0.019859212 [165,] 1.286792188 [166,] -2.983272312$ssr
[1] 273.3067

$mse [1] 1.697557$s2
[1] 1.697557

$rmse [1] 1.302903$s
[1] 1.302903

$covb h0 h1 h2 h3 h4 h0 2.659798e+00 -1.238591e+00 1.826398e-03 4.110194e-05 1.456323e-02 h1 -1.238591e+00 5.807225e-01 -8.594927e-04 -2.011737e-05 -7.577279e-03 h2 1.826398e-03 -8.594927e-04 1.282465e-06 3.010044e-08 1.152736e-05 h3 4.110194e-05 -2.011737e-05 3.010044e-08 1.169990e-09 2.865941e-07 h4 1.456323e-02 -7.577279e-03 1.152736e-05 2.865941e-07 3.416885e-04$inst
~tht + dbh + elev + cr + ba

$r2 [,1] [1,] 0.3734832$adjr2
[,1]
[1,] 0.3579176

attr(,"class")
[1] "nlsystemfit.equation"

$eq[[2]]$method
[1] "3SLS"

$i [1] 2$eqnlabel
[1] "diameter.growth"

$formula dg ~ exp(d0 + d1 * log(dbh) + d2 * hg + d3 * cr + d4 * ba)$b
d0           d1           d2           d3           d4
-0.626882658  0.009485091  0.230774506  0.004688322 -0.013308860

$se d0 [1,] 0.166211975 [2,] 0.090191755 [3,] 0.032920833 [4,] 0.019877662 [5,] 0.001400395$t
d0
[1,] -3.7715854
[2,]  0.1051658
[3,]  7.0099837
[4,]  0.2358588
[5,] -9.5036443

$p d0 [1,] 2.274899e-04 [2,] 9.163751e-01 [3,] 6.203082e-11 [4,] 8.138420e-01 [5,] 0.000000e+00$n
[1] 166

$k [1] 5$df
[1] 161

$predicted [,1] [1,] 0.4378045 [2,] 0.4935468 [3,] 1.4772064 [4,] 1.0196740 [5,] 0.8067784 [6,] 0.7351576 [7,] 0.5096592 [8,] 0.5948765 [9,] 0.5114059 [10,] 0.6209911 [11,] 0.5192374 [12,] 0.3617997 [13,] 0.4740148 [14,] 0.7984329 [15,] 0.6059377 [16,] 0.5380798 [17,] 0.6764251 [18,] 1.1223779 [19,] 0.4731427 [20,] 0.4885540 [21,] 0.5810225 [22,] 1.3473182 [23,] 1.3401777 [24,] 0.7429374 [25,] 0.9415588 [26,] 0.8382359 [27,] 1.1680765 [28,] 1.0458721 [29,] 1.1768857 [30,] 0.8875469 [31,] 0.8150731 [32,] 0.8116696 [33,] 2.3637153 [34,] 0.6934051 [35,] 0.7427681 [36,] 1.1735954 [37,] 1.6303145 [38,] 1.6225218 [39,] 1.2829100 [40,] 1.5485828 [41,] 1.3775726 [42,] 0.3534698 [43,] 0.2531574 [44,] 0.2255988 [45,] 2.2591936 [46,] 0.5132552 [47,] 0.8133853 [48,] 1.4917451 [49,] 1.1621389 [50,] 1.2036548 [51,] 1.0914440 [52,] 1.7158698 [53,] 1.3631533 [54,] 0.8038012 [55,] 0.9038157 [56,] 1.6054105 [57,] 0.7728351 [58,] 0.6893392 [59,] 1.0239156 [60,] 1.2058030 [61,] 0.8484734 [62,] 1.5388092 [63,] 2.5566540 [64,] 2.3589385 [65,] 2.0424594 [66,] 1.9608422 [67,] 0.8644465 [68,] 2.0308756 [69,] 0.9376912 [70,] 2.6424212 [71,] 2.7649573 [72,] 2.5216497 [73,] 1.8122759 [74,] 1.4885775 [75,] 1.9668547 [76,] 1.6014610 [77,] 1.7135894 [78,] 1.4390001 [79,] 1.0103201 [80,] 1.6080871 [81,] 0.6548657 [82,] 0.6094731 [83,] 0.6238616 [84,] 0.6817645 [85,] 0.7358496 [86,] 0.8642096 [87,] 0.5908317 [88,] 0.6863002 [89,] 0.7476942 [90,] 0.6612769 [91,] 0.7181942 [92,] 0.7491480 [93,] 0.5806362 [94,] 1.6297483 [95,] 0.8408070 [96,] 1.0888773 [97,] 0.7986372 [98,] 0.8421787 [99,] 0.8228098 [100,] 0.8074155 [101,] 0.7899300 [102,] 0.9130272 [103,] 0.6640650 [104,] 0.6814250 [105,] 0.7200081 [106,] 0.7542994 [107,] 0.7379768 [108,] 0.6323124 [109,] 1.7494267 [110,] 1.6583811 [111,] 1.2090303 [112,] 1.3356106 [113,] 0.8719757 [114,] 2.1297342 [115,] 1.0192904 [116,] 1.5518750 [117,] 1.3005329 [118,] 1.2301899 [119,] 1.7073477 [120,] 1.4531294 [121,] 2.0152290 [122,] 1.7796340 [123,] 0.3132177 [124,] 0.3063426 [125,] 0.2810279 [126,] 0.2402742 [127,] 0.2633642 [128,] 0.2354076 [129,] 0.4330455 [130,] 0.3751085 [131,] 0.3037446 [132,] 0.8313584 [133,] 0.4336068 [134,] 0.2988929 [135,] 0.6385123 [136,] 0.6856147 [137,] 0.4413780 [138,] 0.5351557 [139,] 0.4428583 [140,] 0.8052917 [141,] 0.5205010 [142,] 0.5565035 [143,] 0.5702803 [144,] 0.5841625 [145,] 0.8125733 [146,] 0.3514647 [147,] 0.6898201 [148,] 1.0681386 [149,] 0.8252161 [150,] 0.4421359 [151,] 0.9785274 [152,] 0.7052403 [153,] 0.8329903 [154,] 0.6714201 [155,] 0.6588583 [156,] 0.4552317 [157,] 0.6393690 [158,] 0.7411586 [159,] 2.4608007 [160,] 0.9711098 [161,] 1.1685812 [162,] 0.7199268 [163,] 0.8717457 [164,] 1.1472884 [165,] 1.8432280 [166,] 0.6314422$residuals
[,1]
[1,] -0.237804496
[2,]  0.006453176
[3,] -0.377206377
[4,] -0.119673974
[5,] -0.306778419
[6,] -0.135157565
[7,] -0.109659173
[8,]  0.105123466
[9,] -0.011405899
[10,]  0.079008899
[11,] -0.019237431
[12,] -0.061799698
[13,] -0.374014844
[14,]  0.001567070
[15,] -0.305937695
[16,] -0.238079770
[17,]  0.023574920
[18,]  0.377622065
[19,]  0.026857292
[20,]  0.211446032
[21,] -0.081022524
[22,] -0.147318234
[23,] -0.340177656
[24,] -0.242937438
[25,] -0.441558800
[26,] -0.238235902
[27,] -0.168076487
[28,]  0.154127923
[29,] -0.076885658
[30,] -0.287546907
[31,] -0.015073109
[32,]  0.088330353
[33,] -0.763715258
[34,]  0.406594909
[35,]  0.357231852
[36,]  0.226404632
[37,] -0.230314462
[38,] -0.122521823
[39,] -0.082910014
[40,] -0.148582811
[41,] -0.077572550
[42,]  0.246530211
[43,]  0.246842605
[44,]  0.474401240
[45,] -0.659193598
[46,]  0.186744843
[47,]  0.186614690
[48,]  0.108254861
[49,]  0.137861148
[50,] -0.303654845
[51,] -0.291444046
[52,] -0.615869785
[53,]  0.436846711
[54,]  0.296198800
[55,]  0.196184298
[56,]  0.194589504
[57,]  0.427164866
[58,]  0.710660786
[59,]  0.476084414
[60,]  0.694197018
[61,]  0.551526574
[62,] -0.438809213
[63,] -1.056653977
[64,] -0.658938518
[65,]  0.057540567
[66,] -0.560842200
[67,] -0.064446497
[68,]  0.269124440
[69,] -0.337691189
[70,]  0.057578820
[71,] -0.964957325
[72,] -0.621649730
[73,]  0.587724060
[74,]  0.111422529
[75,]  0.133145284
[76,]  0.398539045
[77,]  0.386410606
[78,] -0.039000147
[79,]  0.489679895
[80,] -0.008087108
[81,]  0.245134282
[82,] -0.109473088
[83,]  0.176138448
[84,]  0.218235512
[85,] -0.335849585
[86,] -0.364209559
[87,]  0.009168275
[88,]  0.113699837
[89,] -0.047694203
[90,] -0.261276906
[91,]  0.081805800
[92,] -0.149148006
[93,]  0.219363837
[94,] -0.429748323
[95,] -0.140807041
[96,]  0.011122670
[97,] -0.098637233
[98,]  0.057821313
[99,]  0.077190201
[100,] -0.107415528
[101,]  0.110070018
[102,] -0.013027203
[103,] -0.364065015
[104,] -0.281425004
[105,]  0.279991875
[106,] -0.054299429
[107,] -0.137976793
[108,]  0.367687613
[109,] -0.249426716
[110,]  0.241618939
[111,] -0.209030307
[112,]  0.364389423
[113,]  0.128024292
[114,] -0.229734220
[115,] -0.019290417
[116,] -0.251875008
[117,]  0.399467075
[118,]  0.469810144
[119,]  0.092652252
[120,]  0.146870606
[121,] -0.215229030
[122,]  0.120366007
[123,] -0.113217677
[124,] -0.006342551
[125,]  0.018972140
[126,]  0.559725829
[127,]  0.236635826
[128,] -0.135407585
[129,]  0.166954497
[130,] -0.175108543
[131,]  0.196255351
[132,] -0.531358416
[133,] -0.233606847
[134,]  0.401107059
[135,] -0.538512315
[136,]  0.014385300
[137,] -0.041378045
[138,] -0.135155670
[139,]  0.357141746
[140,] -0.405291714
[141,]  0.579498950
[142,]  0.043496473
[143,]  0.229719684
[144,]  0.315837523
[145,] -0.112573299
[146,] -0.051464700
[147,] -0.189820121
[148,]  0.231861404
[149,]  0.174783863
[150,] -0.142135868
[151,]  0.421472598
[152,] -0.105240270
[153,]  0.167009714
[154,] -0.071420139
[155,]  0.541141723
[156,]  0.244768325
[157,]  0.460631035
[158,]  0.458841416
[159,] -0.360800658
[160,]  0.628890204
[161,] -0.368581224
[162,] -0.019926768
[163,]  0.628254283
[164,] -0.347288412
[165,] -0.443227996
[166,]  0.168557758

$ssr [1] 17.25885$mse
[1] 0.1071979

$s2 [1] 0.1071979$rmse
[1] 0.3274108

$s [1] 0.3274108$covb
d0            d1            d2            d3            d4
d0  2.762642e-02  1.523537e-03 -2.896570e-03 -1.586865e-03 -8.309846e-05
d1  1.523537e-03  8.134553e-03 -2.079113e-03  1.522893e-04 -1.341763e-05
d2 -2.896570e-03 -2.079113e-03  1.083781e-03 -1.633640e-04  4.359280e-06
d3 -1.586865e-03  1.522893e-04 -1.633640e-04  3.951214e-04  1.010902e-06
d4 -8.309846e-05 -1.341763e-05  4.359280e-06  1.010902e-06  1.961107e-06

$inst ~tht + dbh + elev + cr + ba$r2
[,1]
[1,] 0.6365566

$adjr2 [,1] [1,] 0.6275269 attr(,"class") [1] "nlsystemfit.equation"$resids
[,1]         [,2]
[1,] -0.077349367 -0.237804496
[2,] -0.506488444  0.006453176
[3,]  2.557062358 -0.377206377
[4,]  0.972614396 -0.119673974
[5,]  0.449736021 -0.306778419
[6,]  0.901539710 -0.135157565
[7,] -1.582727013 -0.109659173
[8,]  0.201346094  0.105123466
[9,] -0.254504457 -0.011405899
[10,] -1.029330598  0.079008899
[11,]  0.758494900 -0.019237431
[12,]  0.532132656 -0.061799698
[13,]  0.110078001 -0.374014844
[14,]  0.250888364  0.001567070
[15,] -0.620155392 -0.305937695
[16,] -0.503236504 -0.238079770
[17,]  0.171576827  0.023574920
[18,] -0.089749602  0.377622065
[19,]  0.330175563  0.026857292
[20,] -0.400600555  0.211446032
[21,]  1.459978144 -0.081022524
[22,]  0.158717456 -0.147318234
[23,]  0.651285335 -0.340177656
[24,] -0.679213086 -0.242937438
[25,]  0.117272987 -0.441558800
[26,] -0.091938271 -0.238235902
[27,]  0.032825766 -0.168076487
[28,] -1.111549149  0.154127923
[29,] -0.283124581 -0.076885658
[30,] -0.381259475 -0.287546907
[31,]  1.503283732 -0.015073109
[32,] -1.064729013  0.088330353
[33,]  2.699978239 -0.763715258
[34,] -0.863370634  0.406594909
[35,] -0.063051314  0.357231852
[36,] -0.473423425  0.226404632
[37,] -0.378290801 -0.230314462
[38,]  0.614890327 -0.122521823
[39,]  0.442862271 -0.082910014
[40,]  0.518237965 -0.148582811
[41,]  0.005470372 -0.077572550
[42,]  1.010764031  0.246530211
[43,]  0.266591167  0.246842605
[44,] -2.185380694  0.474401240
[45,]  2.851671203 -0.659193598
[46,] -2.748417602  0.186744843
[47,] -0.791942176  0.186614690
[48,]  1.245151865  0.108254861
[49,] -0.578275881  0.137861148
[50,]  1.339462995 -0.303654845
[51,]  1.627854641 -0.291444046
[52,]  1.326193989 -0.615869785
[53,] -1.917628632  0.436846711
[54,]  0.124212847  0.296198800
[55,] -1.191942176  0.196184298
[56,]  1.211949425  0.194589504
[57,]  0.658896429  0.427164866
[58,] -0.339580417  0.710660786
[59,] -1.288629727  0.476084414
[60,] -1.421215940  0.694197018
[61,] -1.593678585  0.551526574
[62,]  0.750953733 -0.438809213
[63,]  2.863101864 -1.056653977
[64,]  1.216765159 -0.658938518
[65,]  0.868654879  0.057540567
[66,]  0.246873913 -0.560842200
[67,] -2.002962396 -0.064446497
[68,]  1.444314990  0.269124440
[69,]  0.387956671 -0.337691189
[70,]  1.670070855  0.057578820
[71,]  1.711416251 -0.964957325
[72,]  1.200083774 -0.621649730
[73,] -1.542402258  0.587724060
[74,] -1.299112828  0.111422529
[75,] -0.454400050  0.133145284
[76,] -0.493325876  0.398539045
[77,]  0.074606321  0.386410606
[78,]  0.022416603 -0.039000147
[79,] -1.124360883  0.489679895
[80,] -2.051007496 -0.008087108
[81,] -0.646139878  0.245134282
[82,] -0.572317108 -0.109473088
[83,] -1.057431291  0.176138448
[84,]  0.233101198  0.218235512
[85,]  1.353447694 -0.335849585
[86,] -0.176726244 -0.364209559
[87,] -0.415103850  0.009168275
[88,] -0.363163982  0.113699837
[89,]  0.102649358 -0.047694203
[90,] -0.024009809 -0.261276906
[91,] -0.557333128  0.081805800
[92,] -0.009944870 -0.149148006
[93,] -1.185186966  0.219363837
[94,]  1.976976091 -0.429748323
[95,]  0.590049663 -0.140807041
[96,]  1.600706263  0.011122670
[97,]  0.542299954 -0.098637233
[98,]  0.792924736  0.057821313
[99,]  1.065805695  0.077190201
[100,]  0.836814215 -0.107415528
[101,] -0.407369322  0.110070018
[102,] -0.237752712 -0.013027203
[103,]  0.180283015 -0.364065015
[104,]  0.012722530 -0.281425004
[105,] -1.108324469  0.279991875
[106,] -0.664860114 -0.054299429
[107,] -0.366898802 -0.137976793
[108,] -1.905942046  0.367687613
[109,]  2.102649358 -0.249426716
[110,]  2.739727751  0.241618939
[111,]  0.300085805 -0.209030307
[112,]  0.231839780  0.364389423
[113,] -0.648039205  0.128024292
[114,]  1.219147472 -0.229734220
[115,]  0.392924736 -0.019290417
[116,]  1.107690919 -0.251875008
[117,] -0.594523869  0.399467075
[118,]  0.619007445  0.469810144
[119,]  1.794008889  0.092652252
[120,]  0.307725300  0.146870606
[121,]  1.350413849 -0.215229030
[122,]  2.516868678  0.120366007
[123,]  0.224989236 -0.113217677
[124,]  0.165405186 -0.006342551
[125,] -0.392242197  0.018972140
[126,] -1.464476450  0.559725829
[127,] -1.405059750  0.236635826
[128,] -0.714283435 -0.135407585
[129,] -0.285265836  0.166954497
[130,] -0.406488896 -0.175108543
[131,] -0.812531601  0.196255351
[132,]  3.833581291 -0.531358416
[133,] -0.329973785 -0.233606847
[134,] -1.663433496  0.401107059
[135,]  2.454059380 -0.538512315
[136,]  2.714617070  0.014385300
[137,]  0.461995973 -0.041378045
[138,] -0.836618996 -0.135155670
[139,] -1.210273972  0.357141746
[140,]  1.396598747 -0.405291714
[141,] -0.427375132  0.579498950
[142,] -0.295138162  0.043496473
[143,] -0.110273972  0.229719684
[144,] -0.077321601  0.315837523
[145,]  1.000022818 -0.112573299
[146,] -3.572098918 -0.051464700
[147,] -1.018733397 -0.189820121
[148,]  0.603407153  0.231861404
[149,] -0.020940177  0.174783863
[150,] -2.896362731 -0.142135868
[151,]  0.452058581  0.421472598
[152,] -1.198977396 -0.105240270
[153,] -0.924566975  0.167009714
[154,] -1.283903909 -0.071420139
[155,] -1.444582339  0.541141723
[156,] -3.087590782  0.244768325
[157,] -1.959011629  0.460631035
[158,] -1.893509713  0.458841416
[159,]  3.431373992 -0.360800658
[160,] -0.314839193  0.628890204
[161,]  0.485265147 -0.368581224
[162,] -1.535195884 -0.019926768
[163,] -1.410748809  0.628254283
[164,]  0.019859212 -0.347288412
[165,]  1.286792188 -0.443227996
[166,] -2.983272312  0.168557758

$method [1] "3SLS"$n
[1] 332

$k [1] 10$b
h0            h1            h2            h3            h4
-1.9342127533  1.0393025542 -0.0010056776  0.0001385357  0.0898858315
d0            d1            d2            d3            d4
-0.6268826578  0.0094850913  0.2307745058  0.0046883218 -0.0133088600

$se h0 h1 h2 h3 h4 d0 1.630889e+00 7.620515e-01 1.132460e-03 3.420511e-05 1.848482e-02 1.662120e-01 d1 d2 d3 d4 9.019176e-02 3.292083e-02 1.987766e-02 1.400395e-03$t
h0         h1         h2         h3         h4         d0         d1
-1.1859870  1.3638220 -0.8880471  4.0501458  4.8626839 -3.7715854  0.1051658
d2         d3         d4
7.0099837  0.2358588 -9.5036443

$p h0 h1 h2 h3 h4 d0 2.365018e-01 1.735762e-01 3.751783e-01 6.419123e-05 1.814012e-06 1.929943e-04 d1 d2 d3 d4 9.163097e-01 1.404699e-11 8.136922e-01 0.000000e+00$solvtol
[1] 2.220446e-16

$covb h0 h1 h2 h3 h4 h0 2.659798e+00 -1.238591e+00 1.826398e-03 4.110194e-05 1.456323e-02 h1 -1.238591e+00 5.807225e-01 -8.594927e-04 -2.011737e-05 -7.577279e-03 h2 1.826398e-03 -8.594927e-04 1.282465e-06 3.010044e-08 1.152736e-05 h3 4.110194e-05 -2.011737e-05 3.010044e-08 1.169990e-09 2.865941e-07 h4 1.456323e-02 -7.577279e-03 1.152736e-05 2.865941e-07 3.416885e-04 d0 3.797268e-02 -2.282831e-02 3.732885e-05 1.771762e-06 1.350187e-03 d1 2.231773e-02 -1.037112e-02 1.234541e-05 7.414155e-07 8.090764e-05 d2 -2.380759e-03 1.699793e-03 -2.468352e-06 -3.887392e-07 -5.331850e-05 d3 -1.425432e-03 9.039102e-04 -1.251981e-06 5.125870e-08 -1.512371e-04 d4 -1.084528e-03 5.099640e-04 -7.690228e-07 -1.863960e-08 -6.514127e-06 d0 d1 d2 d3 d4 h0 3.797269e-02 2.231773e-02 -2.380759e-03 -1.425432e-03 -1.084528e-03 h1 -2.282831e-02 -1.037112e-02 1.699793e-03 9.039102e-04 5.099640e-04 h2 3.732885e-05 1.234541e-05 -2.468352e-06 -1.251981e-06 -7.690228e-07 h3 1.771762e-06 7.414155e-07 -3.887392e-07 5.125870e-08 -1.863960e-08 h4 1.350187e-03 8.090764e-05 -5.331850e-05 -1.512371e-04 -6.514127e-06 d0 2.762642e-02 1.523537e-03 -2.896570e-03 -1.586865e-03 -8.309846e-05 d1 1.523537e-03 8.134553e-03 -2.079113e-03 1.522893e-04 -1.341763e-05 d2 -2.896570e-03 -2.079113e-03 1.083781e-03 -1.633640e-04 4.359280e-06 d3 -1.586865e-03 1.522893e-04 -1.633640e-04 3.951214e-04 1.010902e-06 d4 -8.309846e-05 -1.341763e-05 4.359280e-06 1.010902e-06 1.961107e-06$rcov
[,1]       [,2]
[1,]  1.697557 -0.2207250
[2,] -0.220725  0.1071979

$rcor [,1] [,2] [1,] 1.0000000 -0.5174961 [2,] -0.5174961 1.0000000$drcov
[1] 0.133255

$rcovest [,1] [,2] [1,] 1.6975574 -0.2210467 [2,] -0.2210467 0.1073358$g
[1] 2

$nlmest$nlmest$minimum [1] -5.602409e-16$nlmest$estimate [1] -1.9342127533 1.0393025542 -0.0010056776 0.0001385357 0.0898858315 [6] -0.6268826578 0.0094850913 0.2307745058 0.0046883218 -0.0133088600$nlmest$gradient [1] -1.891706e-08 -4.074033e-08 -2.818851e-06 2.248229e-05 -6.576462e-08 [6] -6.596022e-08 -2.055205e-07 -3.824104e-07 -2.942835e-06 4.838612e-07$nlmest$code [1] 1$nlmest\$iterations
[1] 98

attr(,"class")
[1] "nlsystemfit.system"


systemfit documentation built on May 29, 2017, 9:50 p.m.