TREE SIZE, GROWTH AND YIELD RELATIONSHIPS OF TEXAS CITRUS

John Fucik, Horticulturist

September 1996

The generous support of the Federal Crop Insurance Corp., U.S. Department of Agriculture, Kansas City, MO. for the preparation and publication of this handbook is gratefully acknowledged

For multiple reasons, the Texas Citrus Industry regularly needs estimates of fruit yields and tree growth. Long term historical averages or trends are usually the best source for making these estimates. When such data are nonexistent or unreliable, however, other methods must be employed. This handbook arose from such a case. Its primary objective was to provide the data needed for insurance adjusters in Texas to assess freeze damage and projected yield losses of young citrus trees with inadequate bearing histories. However, the information and procedures herein can be used wherever assessment of these tree growth and yield relationships have relevance.

When a freeze occurs, Texas citrus crop insurance covers not only the fruit hanging on the tree but also the spring bloom that would set the next season's crop. Estimating what this crop might be on 3 to 6 year old trees which had borne only one or two commercial crops led to the methods described in this handbook. Using the data and methods which follow plus minimum additional training, even the inexperienced adjuster or orchard appraiser can quickly learn to estimate the age, size and yield of young Texas grapefruit and orange trees.

Background

The method is based on research that has shown trees of a given canopy size or volume will generally have fruit yields that usually fall within a specific range. In their first and second years of bearing, young trees' yields range widely. When the trees reach 6 years and beyond, the range tends to narrow. Still by using the average yields given here and adjusting them if circumstances dictate, realistic yield estimates for young citrus trees can be made.

Procedure

1. Canopy volume is determined by first measuring the diameter and height of the tree's canopy. Using a stiff pole graduated in foot and half foot markings, take two diameter readings at right angles to each other and 2-3 feet above ground level. See diagram inside of back cover. Since the canopy sides are often quite irregular, the measurements should represent the diameters of an imaginary half sphere enclosing the canopy and containing the bulk of the tree's leaves and branches. These "approximated" diameters should account for a few extra long branches or a large cavity in some part of the canopy. The two diameters should then be averaged and rounded to the nearest half foot.

With the same pole measure the tree height to the nearest half foot. Make sure the bottom of the pole and trunk are on the same level. The seasoned appraiser may eventually be able to visually estimate canopy diameters and heights with acceptable accuracy, but the use of a graduated pole or other suitable device is recommended for beginners.

From the diameter and height, find the cubic feet of canopy volume in Table 1. Canopy Volume (cu.ft) of Texas Citrus Trees. For half foot values, interpolate volumes for trees 8 foot in diameter and height or under. These dimensions may be rounded to the nearest foot for larger-trees.

2. From the canopy volume obtained in Table 1, the average yield in pounds of fruit per tree can be found in the following tables: Table 3. Estimated Yields for Texas Grapefruit Trees by Canopy Volume; Table 4. Estimated Yields of Texas Marrs Orange Trees by Canopy Volume; and Table 5. Estimated Yields of Texas Navel Orange Trees by Canopy Volume.

Yields for canopy volumes in between those given in the tables may be interpolated or rounded to the nearest volume given in the table. Since these yields are averages statistically, each has an associated standard deviation. The standard deviation is used to calculate the range within which the estimated yields are expected to fall 67% of the time.

If reliable information or observation indicates an orchard is above or below average in production, yields may be adjusted up or down but should fall within the range given in the tables.

Sample Selection

Even in the most uniform orchards yields will vary from tree to tree. Unless the yield from every tree is recorded, the average yield per tree is determined by harvesting a sufficient number of randomly selected trees as a sample. How many trees to sample depends on natural variability, the accuracy wanted, and time or money constraints. Within the orchard features like soil type, drainage, and microclimate or topography may cause variation in tree growth, and yields in addition to natural variability. Sampling procedures need to account for natural variability as well as that contributed by any other special factors.

1. For the Uniform Orchard. First survey the orchard to confirm that the trees are truly uniform in size and condition throughout. If so, sampling 3 to 10 percent of the trees should be sufficient. Trees must be chosen at random according to some predetermined sampling pattern, e.g., the trees sampled form a "Z" design or sample 3 trees in the third of 20 rows, go down 6 trees, skip a row, sample 3 more trees, etc. It's important that the sampling pattern insures that the trees selected are randomly chosen and are representative of all those in the orchard. For orchards 10 acres and less, sample 10% of the trees, then for each additional 5 acres reduce the number by 1 % until the minimum of 3 % is reached for orchards of 45 acres or more. Rarely, however, would orchards of this size have trees that are uniform throughout, in which case, the next paragraph applies.

2. For the Non-uniform Orchard. Survey the orchard to identify the areas of non-unformity and estimate the acreage involved in each. Differences in tree size, canopy density, leaf color, branch die-back and insect or disease infestation could all be potential causes of non-uniformity. Determine what proportion of the whole orchard the non-uniform areas represent, and sample trees within that area in proportion to the total number of trees to be sampled. E.g., a 20 acre orchard of 5 year-old trees planted 140 trees/acre, has 4 acres of 3 year-old trees and 2 acres of trees suffering from poor drainage. Total trees to sample = 224 (20 acres x 140 trees/acre x .08). Randomly select 45 (4/20 x 224) from the 3 year-old area and 22 (2/20 X 224) from the poorly drained group. The remaining 157 or so should be selected as described above.

Use Table 2. Citrus Tree Planting Densities (Trees/acre) to help determine the number of trees per acre by row and tree spacing.

Trunk Diameter and Canopy Size

There may be occasions when tree canopy volume needs to be estimated from the trunk size. These two values are quite closely related in trees up to 12 years old. After that, however, due to freezes, pruning and other factors the correlation is less reliable. Table 6. Canopy and Trunk Size Relationships for Texas Grapefruit Trees and Table 7. Canopy and Trunk Size Relationship for Texas Marrs Orange Trees, show these correlations along with ranges covered by the standard error.

Insufficient data was available to determine the trunk diameter and canopy size relationships for navel and Valencia orange trees, but their growth tends to be more like grapefruit than Marrs oranges.

Trunk Size and Tree Age

In their early years, citrus tree trunk size and tree age are quite closely correlated. After about 15 years, the relationship weakens for the same reasons the trunk size/tree age

correlation becomes inconsistent. Nevertheless, using Table 8. Tree Age to Trunk Diameter Relationships for Texas Grapefruit or Table 9. Tree Age to Trunk Diameter Relationships for Texas Marrs Oranges, a tree's age can be estimated by measuring its trunk diameter, or conversely, if a tree's age is known, one can determine whether it meets average growth standards by measuring its trunk diameter. Trunk diameter, or alternatively, circumference is normally measured 2 to 6 inches above the bud union. See diagram on inside of the back cover. On old trees where the bud union is not clearly visible trunk measurements should be taken 10 to 12 inches above the ground.

Lack of long term records precluded constructing tables like the above for navel and Valencia oranges. Again, however, both these cultivars tend to produce trees more similar to grapefruit than Marrs oranges.

Number of Fruit per Tree and Average Weight of Each Fruit

When grapefruit or orange trees set a large number of fruit, the average size of each fruit tends to be reduced. Contrarily, the fruit on trees with a light crop tends to be larger than average. This relationship is given for grapefruit and oranges, respectively, in Table 10. Grapefruit. The Average Weight per Fruit vs. Number of Fruit per Tree and Table 11. Marrs Oranges: The Average Weight per Fruit vs. Number of Fruit per Tree.

CAUTION. These relationships do not apply to trees 4 years old or under.

While the number vs. average fruit size phenomenon applies generally to navel and Valencia oranges, lack of data precludes providing tables of these relationships.

...In Conclusion

When using the above tables, keep in mind the data for them came primarily from trees in Citrus Center orchards which are not necessarily representative of all Texas' commercial orchards. Remember as well the values and relationships are averages which, when applied to other trees and situations, must be considered estimates or approximations. They should never replace valid, accurate and appropriate yield records and growth measurements.

Like all living things, however, tree growth and yield will vary both within and between orchards and particularly from season to season. Grapefruit and Marrs orange trees, especially, have a tendency toward biennial bearing, i.e, having heavy and light crops in alternate years. For historical perspective and comparison, some average yields of Texas grapefruit and oranges are given in Table 12. Reported Acreage, Tree Populations and Production of Texas Citrus. The yields in this table were derived from data published in Texas and U.S. Department of Agriculture statistical reports.

N.B.

All values derived from these tables and methods, can be appropriately modified IF sound reasons and accurate, reliable supplemental information justify doing so.

TABLES

TABLE 1. CANOPY VOLUMES (CUBIC FT) of TEXAS CITRUS TREES  back to text
Canopy
Height(ft.)
4.0
5.0
6.0
7.0
8.0
9.0
10.0
11.0
12.0
13.0
14.0
15.0
16.0
17.0
18.0
19.0
20.0
4.0
34
52
75
103
134
170
210
254
302
354
411
472
537
606
679
757
838
4.5
38
59
85
116
151
191
236
285
340
399
462
531
604
681
764
851
943
5.0
42
66
94
428
468
212
262
317
377
443
514
590
671
757
849
946
1048
5.5
46
72
104
141
184
233
288
349
415
487
565
648
738
833
934
1040
1153
6.0
50
79
113
154
201
255
314
380
453
531
616
707
805
909
1019
1135
1258
6.5
54
85
123
167
218
276
341
412
490
576
668
766
872
984
1104
1230
1362
7.0
59
92
132
180
235
297
367
444
528
620
719
825
939
1060
1188
1324
1467
7.5
63
98
141
193
252
318
393
476
566
664
770
884
1006
1136
1273
1419
1572
8.0
67
105
151
205
268
340
419
507
604
708
822
943
1073
1211
1358
1513
1677
9.0
75
118
170
231
302
382
472
571
679
797
924
1061
1207
1363
1528
1702
1886
10.0
84
131
189
257
335
424
524
634
755
886
1027
1179
1341
1514
1698
1892
2096
11.0
92
144
208
282
369
467
576
697
830
974
1130
1297
1476
1666
1868
2081
2306
12.0
101
157
226
308
402
509
629
761
905
1063
1232
1415
1610
1817
2037
2270
2515
13.0
109
170
245
334
436
552
681
824
981
1151
1335
1533
1744
1969
2207
2459
2725
14.0
117
183
264
359
470
594
734
888
1056
1240
1438
1651
1878
2120
2377
2648
2934
15.0
126
197
283
385
503
637
786
951
1132
1328
1541
1769
2012
2272
2547
2837
3144
16.0
134
210
302
411
537
679
838
1014
1207
1417
1643
1886
2146
2423
2716
3027
3354
17.0
143
223
321
436
570
722
891
1078
1283
1505
1746
2004
2280
2574
2886
3216
3563
18.0
151
236
340
462
604
764
943
1141
1358
1594
1849
2122
2415
2726
3056
3405
3773

 

Table 2. CITRUS TREE PLANTING DENSITIES (Trees/acre)  back to text

Tree

        Row Spacing (ft)  

Spacing
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
8
389
363
340
320
303
287
272
259
248
237
227
218
209
202
194
188
182
9
346
323
303
285
269
255
242
230
220
210
202
194
186
179
173
167
161
10
311
290
272
256
242
229
218
207
198
189
182
174
168
161
156
150
145
11
283
264
248
233
220
208
198
189
180
172
165
158
152
147
141
137
132
12
259
242
227
214
202
191
182
173
165
158
151
145
140
134
130
125
121
13
239
223
209
197
186
176
168
160
152
146
140
134
129
124
120
116
112
14
222
207
194
183
173
164
156
148
141
135
130
124
120
115
111
107
104
15
207
194
182
171
161
153
145
138
132
126
121
116
112
108
104
100
97
16
194
182
170
160
151
143
136
130
124
118
113
109
105
101
97
94
91
17
183
171
160
151
142
135
128
122
116
111
107
102
99
95
92
88
85
18
173
161
151
142
134
127
121
115
110
105
101
97
93
90
86
83
81
19
164
153
143
135
127
121
115
109
104
100
96
92
88
85
82
79
76
20
156
145
136
128
121
115
109
104
99
95
91
87
84
81
78
75
73
21
148
138
130
122
115
109
104
99
94
90
86
83
80
77
74
72
69
22
141
132
124
116
110
104
99
94
90
86
83
79
76
73
71
68
66

 

TABLE 3. ESTIMATED YIELDS FOR GRAPEFRUIT TREES BY CANOPY VOLUME (TEXAS) back to text
Canopy
Yield (lb/tree)
Volume
Range
(cu.ft.)
Average
Low
High
50
7
5
9
75
11
8
13
100
15
11
18
125
18
14
23
150
23
17
28
175
27
20
33
200
31
23
39
250
39
29
49
300
48
36
60
350
56
42
71
400
65
49
82
450
74
55
93
500
83
62
104
550
92
69
115
600
101
75
127
650
110
82
138
700
119
89
150
750
128
96
161
800
138
103
173
850
147
110
184
900
156
117
196
950
166
124
208
1000
175
131
220
1050
185
138
232
1100
194
145
244
1150
204
152
256
1200
214
159
268
1250
223
166
280
1300
233
174
292
1350
243
181
304
1400
252
188
316
1450
262
196
329
1500
272
203
341
1600
292
218
366
1700
311
232
390
1800
331
247
415
1900
351
262
440
2000
371
277
465

 

TABLE 4. ESTIMATED YIELDS OF MARRS ORANGE TREES BY CANOPY VOLUME (TEXAS)                                back to text
Canopy
         Yield (lb/tree)
Volume
Range
(cu.ft)
Average
Low
High
100
36
25
46
150
53
37
70
200
70
49
91
250
84
59
110
300
98
68
127
350
110
77
143
400
121
84
157
450
130
91
169
500
158
97
180
550
145
102
189
600
152
106
197
650
157
110
204
700
161
112
209
750
164
115
214
800
175
123
228
850
186
130
242
900
197
138
256
950
207
145
270
1000
218
153
284
1150
229
160
298
1100
240
168
312
1150
251
175
326
1200
261
183
340
1250
272
191
354
1300
283
198
368
1350
294
206
382
1400
305
213
396
1450
315
221
410
1500
326
228
424

 

TABLE 5. ESTIMATED YIELDS OF NAVEL ORANGE TREES BY CANOPY VOLUME (TEXAS)                              back to text
Canopy
Yield (lb/tree)
Volume
       Range
(cu. ft.)
Average
Low
High
100
24
16
32
150
35
23
47
200
45
29
61
256
56
36
74
300
67
44
90
350
78
51
105
400
89
58
120
450
99
64
134
500
110
72
149
550
121
79
163
600
132
86
178
650
143
93
193
700
153
99
207
750
164
106
221
800
166
108
224
850
167
109
226
900
168
109
227
950
173
112
223
1000
178
114
240
1050
183
119
247
1100
188
122
254
1150
192
125
259
1200
196
127
265
1250
200
130
270
1300
204
133
275
1350
208
135
281
1400
212
138
286
1450
215
140
290
1500
220
143
297

 

TABLE 6. CANOPY AND TRUNK SIZE RELATIONSHIPS FOR TEXAS GRAPEFRUIT TREES                             back to text
Trunk
Canopy Volume (cu.ft.)
Diameter
         Range
(in.)
Average
Low
High
2.0
100
90
110
2.5
132
129
145
3.0
165
149
171
3.5
228
205
251
4.0
331
298
364
4.5
459
404
514
5.0
645
541
688
5.5
801
705
897
6.0
1020
898
1142
6.5
1274
1121
1427
7.0
1565
1377
1753
7.5
1896
1630
2161
8.0
2268
1950
2586
8.5
2684
2308
3060
9.0
3146
2706
3586
9.5
3656
3144
4168
10.0
4216
3541
4890
10.5
4828
4056
5600
11.0
5494
4615
6373
11.5
6216
5221
7211
12.0
6996
5877
8115

 

TABLE 7. CANOPY AND TRUNK SIZE RELATIONSHIPS FOR TEXAS MARRS ORANGE TREES                                       back to text
Trunk
            Canopy Volume (cu.ft)
Size
                                   Range
(in.)
Average
Low
High
2.0
48
43
53
2.5
90
81
99
3.0
149
134
164
3.5
200
180
220
4.0
270
232
308
4.5
316
272
360
5.0
363
312
414
5.5
408
352
465
6.0
466
382
550
6.5
536
440
632
7.0
634
520
748
7.5
718
589
847
8.0
803
642
964
8.5
895
716
1074
9.0
1059
846
1268
9.5
1164
931
1397
10.0
1277
1021
1532
10.5
1340
1045
1635
11.0
1408
1098
1718
11.5
1450
1131
1769
12.0
1480
1154
1806

 

TABLE 8. TREE-AGE TO TRUNK DIAMETER RELATIONSHIPS FOR TEXAS GRAPEFRUIT
Tree
              Trunk Diameter (in.)
Age
                              Range    back to text
(yrs)
Average
Low
High
2
2.1
1.9
2.3
3
3.1
2.9
3.5
4
3.9
3.5
4.3
5
4.6
4.1
5.1
6
5.2
4.7
5.8
7
5.7
5.1
6.4
8
6.2
5.6
7.0
9
6.6
5.6
7.5
10
7.9
6.0
8.0
11
7.3
6.2
8.3
12
7.6
6.5
8.7
13
8.0
6.8
9.1
14
8.3
6.7
9.9
15
8.7
7.9
10.4
16
9.1
7.4
10.8
17
9.6
7.8
11.4
18
10.0
8.1
11.9
19
10.7
8.7
12.7
20
11.4
9.2
13.6

 

TABLE 9. TREE AGE TO TRUNK DIAMETER RELATIONSHIPS FOR TEXAS MARRS ORANGES    back to text
Tree
        Trunk Diameter(in)
Age
                             Range
(yrs)
Average
Low
High
2
1.5
1.4
1.6
3
2.2
2.0
2.5
4
3.0
2.7
3.3
5
3.5
3.2
3.8
6
4.0
3.5
4.6
7
4.8
4.2
5.7
8
5.5
4.4
6.6
9
6.0
5.3
7.2
10
6.5
5.6
7.8
11
6.8
5.8
9.2
12
7.5
6.4
8.6
13
7.8
6.6
9.0
14
8.1
6.9
9.3
15
8.4
7.1
9.7
16
8.8
7.5
10.1
17
9.2
7.5
10.8
18
9.6
7.6
11.3
19
10.0
8.2
11.8
20
10.3
8.4
12.2

 

Table 10. GRAPEFRUIT: THE AVERAGE WEIGHT/FRUIT VS. NUMBER OF FRUIT/TREE 1       back to text
Number of fruit/tree
< 20
30
40
50
60
80
100
120
140
160
200
220
240
260
280
> 300
350
> 400
Ave.Weight/(lb.)
1.12
1.08
1.06
1.04
1.03
1.01
1.00
.98
.98
.97
.95
.94
.92
.91
.90
.88
.86
.84
1 Does not apply to trees 4 years old and under
Table 11. ORANGES:THE AVERAGE WEIGHT/FRUIT VS. NUMBER OF FRUIT/TREE 1                                                        back to text
Number of fruit/tree
< 50
100
150
200
250
300
350
400
450
500
600
700
800
900
> 1000
Ave. Weight/Fruit(lb)
.60
.58
.56
.55
.53
.52
.50
.49
.48
.46
.44
.42
.40
.38
.34
1 Does not apply to trees 4 years old and under

 

Table 12. REPORTED ACREAGE TREE POPULATIONS AND PRODUCTION OF PRODUCING TEXAS GRAPEFRUIT AND ORANGES1                                                                 back to text
Grapefruit
Total
Production
Year
Acreage
Trees
in Tons
Tons/Acre
lb/Tree2
1997-78
35110
3868170
476000
13.6
246.1
1979-80
39760
4543800
316000
7.9
139.1
1981-82
41481
4909590
556000
13.4
226.5
1983-84
41076
4925850
128000
3.1
52.0
1985-86
17837
2248280
8800
0.5
7.8
1987-88
13500
1692000
152000
11.3
179.7
1989-90
16900
2154700
8000
0.5
7.4
1993-94
10090
1374500
120000
11.9
174.6
Oranges
Total
Production
Year
Acreage
Trees
in Tons
Tons/Acre
lb/Tree 2
1977-78
28170
2990600
274500
9.7
183.6
1979-80
27830
2991500
181350
6.5
121.2
1981-82
25298
2752540
267300
10.6
194.2
1983-84
23692
2595440
112950
4.8
87.0
1985-86
10463
1179830
13950
1.3
23.6
1987-88
8300
990000
64350
7.8
130.0
1989-90
11900
1456700
54225
4.6
74.4
1993-94
4420
655900
24750
5.6
75.5
1 Data from Texas Dept. of Agriculture and USDA. Statistics Service
2 Derived from reported data
EQUIVALENTS, CONVERSIONS AND NOTES
1 inch is approximately 0.083 foot
0.1 foot  is approximately 1 3/16 inches
1 oz. = 0.0625 lb.
0.1 lb = 1.6 oz
1 acre is approximately  0.405 hectare
1 hectare  is approximately 2.47 acre
1 cu. ft. is approximately 0.028 cu. meter
1 cu. meter is approximately 35.31 cu. ft
1 lb.  is approximately 0.454 kg.
1 kg. is approximately 2.203 lb.
1 ton (US) is approximately 0.908 ton (metric)
1 ton (metric) is approximately 1.10 ton (US)
Circumference =  pi (3.142) X Diameter
Diameter = Circumference ÷ pi (3.142)
Canopy volume increases by the cubic factor of the diameter and height increase... e.g. when diameter and height grow from 9 feet to 10 feet, canopy volume increases from 382 cu. feet to 524 cu. ft. or 37 %

trunk.jpg (22453 bytes)      canopy.jpg (24869 bytes)

Go to Citrus Grower's Page