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Stockholders' equity (Tables)
 12 Months Ended
Dec. 31, 2018
Stockholders' equity [Abstract]  
Details of Other Components of Equity
Details of other components of equity at December 31, 2018 and 2017 are shown following:

  
Statutory
reserve
  
Defined
benefit
plan
  
Premium on
convertible
obligations
  
Translation
result
  
Revaluation
surplus
   
Total
 
Balance at December 31, 2016
 
$
216,948
  
$
(136,441
)
 
$
77,106
  
$
(247,668
)
 
$
2,353,163
   
$
2,263,108
 
                          
Revaluation of vessels and properties
  
-
   
-
   
-
   
-
   
941,957
    
941,957
 
Defined benefit plan
  
-
   
319
   
-
   
-
   
-
    
319
 
Reclassification from disposal of properties and depreciation
  
-
   
-
   
-
   
-
   
(2,073,235
)
  (a)
  
(2,073,235
)
Total before taxes
  
-
   
319
   
-
   
-
   
(1,131,278
)
   
(1,130,959
)
                          
Tax expense
  
-
   
(96
)
  
-
   
-
   
(282,587
)
   
(282,683
)
Total net of taxes
  
-
   
223
   
-
   
-
   
(1,413,865
)
   
(1,413,642
)
Balance at December 31, 2017
 
$
216,948
  
$
(136,218
)
 
$
77,106
  
$
(247,668
)
 
$
939,298
   
$
849,466
 
                          
Revaluation of vessels
  
-
   
-
   
-
   
-
   
(161,411
)
   
(161,411
)
Defined benefit plan
  
-
   
15,430
   
-
   
-
   
-
    
15,430
 
Reclassification from disposal of properties and depreciation
                  
(40,335
)
   
(40,335
)
Total before taxes
  
-
   
15,430
   
-
   
-
   
(201,746
)
   
(186,316
)
                          
Tax expense
  
-
   
(4,629
)
  
-
   
-
   
48,423
    
43,794
 
Total net of taxes
  
-
   
10,801
   
-
   
-
   
(153,323
)
   
(142,522
)
Balance at December 31, 2018
 
$
216,948
  
$
(125,417
)
 
$
77,106
  
$
(247,668
)
 
$
785,975
   
$
706,944
 


(a)
It corresponds to the reclassification of the revaluation surplus to accumulated losses from the sale of properties and to the depreciation of the period of revaluation of properties and vessels.