Dynamics of the total factor productivity in Lithuanian family farms with a statistical inference: the bootstrapped Malmquist indices and Multiple Correspondence Analysis

Figures & data

Figure 1. A graphical interpretation of the output-oriented Malmquist productivity index.Source: designed by the authors.

Figure 2. The MCA plot describing relationships between Malmquist indices and supplementary variables.Source: designed by the authors.

Table 1. The numbers of farms that experienced changes in total factor productivity (Malmquist index), 2004–2009.

Farm type	Number of farms				Percentage
	Increase	Decrease	No change	Total	Increase	Decrease	No change
Crop	246	397	103	746	33	53	14
2004–2005	27	100	31	158	17	63	20
2005–2006	27	102	17	146	18	70	12
2006–2007	125	10	7	142	88	7	5
2007–2008	55	65	33	153	36	42	22
2008–2009	12	120	15	147	8	82	10
Livestock	38	54	24	116	33	47	21
2004–2005	11	4	3	18	61	22	17
2005–2006	5	13	7	25	20	52	28
2006–2007	18	7	6	31	58	23	19
2007–2008	3	11	6	20	15	55	30
2008–2009	1	19	2	22	5	86	9
Mixed	44	67	27	138	32	49	20
2004–2005	8	8	8	24	33	33	33
2005–2006	2	21	6	29	7	72	21
2006–2007	23	1	3	27	85	4	11
2007–2008	10	12	5	27	37	44	19
2008–2009	1	25	5	31	3	81	16
Total	328	518	154	1000	33	52	15

Source: designed by the authors.

Table 2. Descriptive statistics for numbers of farms that experienced changes in total factor productivity (Malmquist index), 2004–2009.

Farm type	Increase	Decrease	No change
Coefficient of variation
Crop	0.97	0.55	0.50
Livestock	0.80	0.57	0.41
Mixed	1.03	0.64	0.42
Range
Crop	80	75	17
Livestock	57	64	21
Mixed	82	77	22

Source: designed by the authors.

Table 3. The numbers of farms that experienced efficiency changes (component of the Malmquist index), 2004–2009.

Farm type	Number of farms				Percentage
	Increase	Decrease	No change	Total	Increase	Decrease	No change
Crop	190	298	258	746	25	40	35
2004–2005	36	51	71	158	23	32	45
2005–2006	13	89	44	146	9	61	30
2006–2007	72	26	44	142	51	18	31
2007–2008	35	69	49	153	23	45	32
2008–2009	34	63	50	147	23	43	34
Livestock	16	15	85	116	14	13	73
2004–2005	4	3	11	18	22	17	61
2005–2006		6	19	25	0	24	76
2006–2007	10	3	18	31	32	10	58
2007–2008		3	17	20	0	15	85
2008–2009	2		20	22	9	0	91
Mixed	40	40	58	138	29	29	42
2004–2005	11	4	9	24	46	17	38
2005–2006		19	10	29	0	66	34
2006–2007	17	3	7	27	63	11	26
2007–2008	4	11	12	27	15	41	44
2008–2009	8	3	20	31	26	10	65
Total	246	353	401	1000	25	35	40

Source: designed by the authors.

Table 4. Descriptive statistics for the farms that experienced efficiency changes (component of the Malmquist index), 2004–2009.

Farm type	Increase	Decrease	No change
Coefficient of variation
Crop	0.60	0.40	0.18
Livestock	1.03	0.69	0.20
Mixed	0.86	0.83	0.35
Range
Crop	42	43	15
Livestock	32	24	33
Mixed	63	56	39

Source: designed by the authors.

Table 5. The numbers of farms that experienced technical changes (component of the Malmquist index), 2004–2009.

Farm type	Number of farms				Percentage
	Increase	Decrease	No change	Total	Increase	Decrease	No change
Crop	193	266	287	746	26	36	38
2004–2005	2	98	58	158	1	62	37
2005–2006	36	36	74	146	25	25	51
2006–2007	120		22	142	85	0	15
2007–2008	35	5	113	153	23	3	74
2008–2009		127	20	147	0	86	14
Livestock	13	26	77	116	11	22	66
2004–2005	6	1	11	18	33	6	61
2005–2006	7	4	14	25	28	16	56
2006–2007		2	29	31	0	6	94
2007–2008			20	20	0	0	100
2008–2009		19	3	22	0	86	14
Mixed	23	43	72	138	17	31	52
2004–2005		9	15	24	0	38	63
2005–2006	10	3	16	29	34	10	55
2006–2007	8		19	27	30	0	70
2007–2008	5		22	27	19	0	81
2008–2009		31		31	0	100	0
Total	229	335	436	1000	23	34	44

Source: designed by the authors.

Table 6. Descriptive statistics for the farms that experienced technical changes (component of the Malmquist index), 2004–2009.

Farm type	Increase	Decrease	No change
Coefficient of variation
Crop	1.33	1.06	0.66
Livestock	1.51	1.60	0.52
Mixed	0.97	1.36	0.61
Range
Crop	85	86	60
Livestock	33	86	86
Mixed	34	100	81

Source: designed by the authors.

Table 7. The Malmquist productivity index and its decomposition across farming types, 2004–2009.

Farm type	M	EC	TC	PEC	SEC	PTC	STC
Crop	0.82	0.79	0.95	0.77	0.96	0.95	1.00
2004–2005	0.89	0.97	0.92	0.93	1.03	0.93	0.99
2005–2006	0.79	0.83	0.95	0.87	0.96	0.92	1.03
2006–2007	1.66	1.13	1.39	1.06	1.02	1.38	0.99
2007–2008	0.96	0.92	1.02	0.92	0.99	1.04	0.97
2008–2009	0.73	0.94	0.78	0.97	0.97	0.77	1.01
Livestock	0.82	0.97	0.82	0.93	0.99	0.73	1.09
2004–2005	1.19	1.02	1.12	1.02	1.00	1.02	1.11
2005–2006	0.88	0.93	0.96	0.95	0.99	0.91	1.03
2006–2007	1.13	1.06	0.99	1.01	1.01	1.03	0.98
2007–2008	0.92	0.95	1.00	0.96	0.99	0.97	1.01
2008–2009	0.76	1.02	0.77	0.99	1.00	0.79	0.97
Mixed	0.85	0.94	0.79	0.92	0.90	0.56	1.50
2004–2005	1.01	1.05	0.96	1.05	0.99	0.70	1.40
2005–2006	0.84	0.82	1.01	0.87	0.97	0.98	1.04
2006–2007	1.28	1.12	1.07	1.01	1.03	1.10	0.98
2007–2008	0.98	0.95	1.01	1.00	0.93	0.99	1.03
2008–2009	0.80	1.03	0.75	1.01	0.99	0.75	1.02

Notes: the geometric means of the adjusted estimates are presented; the annual data represent productivity changes, whereas farming type-specific heading rows exhibit the cumulative changes for 2004–2009.

Source: designed by the authors.