Summary: vigna radiata l. And vigna angularis are common groceries, with china as the main producer of green beans and red soybeans, with a large area of cultivation and the highest export volume in the world. The white city area in the north-east is china's main production area for green and red beans, located in the centre of the main production area for green beans in the north-east and north-east of the autonomous region of inner mongolia, with a large area of radiation and the largest concentration of green and red beans in china. The climate in the region is arid and suitable for drought-resistant cash crops such as green and red beans. With the increase in production levels of green beans and red soybeans and the spread of mechanized production technologies, the scale of production has increased, and studies on breeding, cultivation and mechanized production have been reported, but studies on the patterns of demand for green beans and red soybeans have so far been lacking. Imbalances in the application of fertilizers have had a negative impact on crop growth, growth and yields, and have led to a decline in soil quality, reduced economic benefits and limited the development of green and red beans. It is therefore of great practical and important importance to study the patterns of water fertilizer demand for green beans and red beans in white city-producing areas, especially in less irrigated areas, to ensure the rational and economical application of fertilizers. Based on a field test conducted in 2013-2016 in white city, jilin province, using a three-fact 5-level rotation combination design, 23 nitrogen, phosphorus and potassium combination treatments were set up, and fertility indicators, morphological indicators, production and production composition factors for green beans (no. 9) and red beans (no. 4) were studied in order to optimize the fertilizer application programme by developing mathematical models of nitrogen phosphorous optimized fertilizer application, depending on the pattern of the use of potassium nitrogen. There is also a programme to optimize the application of fertilizers for economic fertilization of green and red beans in production. The rationale for this application was obtained by applying the optimized programme to different water-composed conditions. Ultimately, production validation tests were conducted in several areas of different soil types to further validate the optimized fertilization programme. This study model is designed to provide viable solutions for the sustainable development of the soybean industry, which is constrained by two factors: drought and soil infertileness. The main test results were as follows: (1) the positive test results showed that the “white green 9” and “white red 4” fertility indicators for green beans (high, fractional, tubular, number of reproductive days), morphological indicators (dry weight plant, stem weight, root weight, soybean dry weight, seed dry weight), production and yield factors, mixed treatment of nitrogen, phosphorus and potassium, high, medium and low-value gradient grouping trends, which led to the development of a three-dimensional regression model for the combination of potassium nitrogen and production and production factors. Based on the above model analysis, the production of nitrogen, phosphorus, potassium alone factors for “white green 9” is extremely significant, the effects of single argon are of potassium >phosphorus, nitrogen > potassium >phosphorus, potassium >phosphorus, and nitrogen is of a positive effect for 100 particles, phosphorus and potassium fat are of a negative effect for 100 grains, and phosphomium > potassium; the effects of nitrogen, phosphorus, potassium fat for “white green 9” and single arks are extremely significant, and the effects of potassium and phosphorus fertilizer are significant for 100 particles. Nitrogen, phosphorus, and potassium monometers for the production of white red 4, single argons, and single argons, the effects of which are as high as 100 grains, respectively, phosphorus > potassium , potassium > phosphorus , potassium > phosphorus , and nitrogen > potassium > phosphorus; and the effects of nitrogen, phosphorus and potassium on the production of white red 4 are significant and the effects on single arctics are significant, while the effects of potassium fattening are significant for single argons and the effects of nitrogen fertilizer on 100 grains are significant. 3 the effects of the exchange between nitrogen phosphorus and potassium phosphate on the production of “white green 9” and on the number of single pellets are positive, in the form of nitrogen phosphorus > potassium phosphorus > and the effects of nitrogen phosphorus on each other are significant, while the effects of nitrogen potassium exchange on their production and on the number of single pellets are negative, the effects of nitrogen phosphorus and potassium nitrogen on the number of `white green 9' monocrops are positive, and the effects of nitrogen potassium > nitrogen phosphorus are significant, while the effects of phosphorus are negative on the weight of 100 pellets > white green > phosphorus > ; the effects of nitrogen phosphorus on the weight of nitrogen phosphate are negative, and the effects of nitrogen phosphate > potassium . Interactivity effects on the production of “white red 4” are as follows: nitrogen potassium > nitrogen phosphorus > potassium, with significant effects on the production of nitrogen potassium each other; nitrogen phosphorus interacts with potassium nitrogen with a significant effect on the number of single radon > white red 4 > with a significant advantage over potassium phosphorus ; reciprocal effects on phosphorus > nitrogen phosphorus > potassium > nitrogen phosphorus > potassium with a significant effect on the number of single radon = phosphorus > phosphorus > phosphorus > with a significant effect on the weight of nitrogen potassium = 100 particles. 4. The best fertilizing conditions for “white green 9” production greater than 2141. 69 kg ha-1 were 34. 38-42. 62 kg ha-1n, 17. 55-21. 70 kg ha-1p2o5 and 53. 23-67. 29kg ha-1k2o, of which the best fertilizer combination of the highest production (2394. 60kg ha-1) was 41. 9 kg ha-1n, 20. 7 kg ha-1p2o5, and 66. 50kg ha-1k2o (n ∶p205 ∶1. 10. 5. 5. 5. 59). In addition, the optimal nitrogen, phosphorus, and potassium fertiliser areas, with a single argon number greater than 23. 41, and the optimal nitrogen fertilisers, with 100 grains of weight greater than 6. 58 g, intersect with the yield zone, but there is no intersection between the single argon grains and the yield fertilization zone. Taking into account the cost of fertilizers and green bean seeds, an economic fertilizer mix of 39. 30 kg ha-1n, 20. 26kg ha-1p2o5 and 53. 40kg ha-1k2o was established on the basis of the optimal fertilizer mix. Thus, the best economic fertilization ratio is n∶p2o5∶k2o=1=0:55=1. 36, with maximum yield of 2426. 59kg ha-1 and profit of 23. 697. 68 yuan ha-1. 5. The best fertilizer mix for high-yielding “white red 4” (≥191. 53 kg ha-1) consists of 57. 23-68. 43 kg ha-1n, 36. 04-47. 32 kg ha-1p2o5 and 50. 29-61. 27kg ha-1k2o, of which the best fertilizer mix for the highest yield (2333. 42kg ha-1) is 62. 98kg ha-1n, 47. 04kg ha-1p2o5 and 59. 95kg ha-1k2o (n3p2o5 ∶k2o=0. 75. 75. 0. 95). Taking into account the cost of fertilizers and seed red soybeans, the economy's fertilizer mix was established on the basis of the best fertilizer measures; it produced 2236. 17 kg ha-1, with a profit of 15,653. 16 yuan ha-1, with a corresponding ratio of 57. 60 kg ha-1n, 47. 03kg ha-1p2o5 and 31. 64kg ha-1k2o (n∶p2o5∶k2o=1:0. 82. 10. 55). 6 in the “white green 9”, “white green 11”, “white green 935”, “white green 985”, “white red 3”, “white red 4”, “white red 6”, and “red 352”, as well as in the field drying tests for 20 green beans and 20 red soybean varieties, the production of nitrogen phosphorous has increased significantly and its relevance has been optimized. 7. Under different hydrocoercive conditions, fertilisation programmes are applied with the highest standards, with different types of drought-resilient. Of these, production of “white green 9” and “white red 6” is less sensitive to hydrocoercive and more drought-resistant; their hydro-sensitivity index and drought-resistant coefficients are di = 0. 89 and dc = 0. 79, respectively, of “white green 9”, di = 0. 87 and dc = 0. 72. Productions of “white green 11” and “white red 4” are sensitive to hydrocoercion and less drought-resistant; their water sensitivity index and drought-resistant coefficients are di = 1. 76 dc = 0. 59, “white green 11”, di = 1. 01 and dc = 0. 68, respectively. Under different water treatment conditions, with the best fertilisation programmes, the green bean varieties “white green 9” and “white green 11” were the most productively increased by 31. 56 per cent and 28. 08 per cent, respectively, of the fertilizer model f120; the red soybeans varieties “white red 4” and “white red 6” were the best at the fertilizer model f120, with 44. 06 per cent and 31. 23 per cent increases. In the production certification, the optimal fertilisation programme for green beans and red beans was applied. The production of green beans type “white green 9” increased by 19. 6 per cent over the conventional fertilisation method; the production of red beans type “white red 4” increased by 15. 26 per cent over the conventional fertilisation method。
