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            0.03518437208883203,
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            0.022517998136852502,
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            0.014411518807585602,
            0.011529215046068483,
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            0.004722366482869652,
            0.0037778931862957215,
            0.0030223145490365774,
            0.002417851639229262,
            0.0019342813113834097,
            0.0015474250491067279,
            0.0012379400392853823
          ]
        },
        {
          "label": "Per-gene recovery=0.9",
          "y": [
            0.9,
            0.81,
            0.7290000000000001,
            0.6561,
            0.5904900000000001,
            0.531441,
            0.4782969000000001,
            0.4304672100000001,
            0.3874204890000001,
            0.3486784401000001,
            0.31381059609000006,
            0.2824295364810001,
            0.2541865828329001,
            0.2287679245496101,
            0.20589113209464907,
            0.18530201888518416,
            0.16677181699666577,
            0.15009463529699918,
            0.13508517176729928,
            0.12157665459056935,
            0.10941898913151242,
            0.09847709021836118,
            0.08862938119652507,
            0.07976644307687256,
            0.0717897987691853,
            0.06461081889226677,
            0.058149737003040096,
            0.05233476330273609,
            0.047101286972462485,
            0.04239115827521624
          ]
        },
        {
          "label": "Per-gene recovery=0.98",
          "y": [
            0.98,
            0.9603999999999999,
            0.9411919999999999,
            0.9223681599999999,
            0.9039207967999999,
            0.8858423808639999,
            0.8681255332467199,
            0.8507630225817855,
            0.8337477621301498,
            0.8170728068875467,
            0.8007313507497958,
            0.7847167237347998,
            0.7690223892601038,
            0.7536419414749017,
            0.7385691026454038,
            0.7237977205924956,
            0.7093217661806457,
            0.6951353308570327,
            0.6812326242398921,
            0.6676079717550942,
            0.6542558123199923,
            0.6411706960735924,
            0.6283472821521207,
            0.6157803365090783,
            0.6034647297788966,
            0.5913954351833187,
            0.5795675264796523,
            0.5679761759500592,
            0.5566166524310581,
            0.5454843193824369
          ]
        }
      ],
      "xlabel": "Required pathway genes",
      "ylabel": "All genes observed",
      "logx": false,
      "logy": false
    }
  ],
  "title": "Detection depth and pathway completeness constrain absence claims",
  "assumptions": "Poisson reads; independent equal gene-recovery probabilities. No metagenomes, bins or function assays; real genes can be correlated.",
  "worked": "lambda=0.5时零读段概率exp(-0.5)=0.606531。十个组分各独立90%恢复，完整可见概率0.9^10=0.348678。",
  "checks": {
    "no_read_lambda05": 0.6065306597126334,
    "complete_m10_p09": 0.3486784401000001
  },
  "generator_source_sha256": {
    "ops/datacenter/editorial_guides/horizons_figures.py": "5ed0031cf4cbcfb7d2d78b4385c8c29200a8312d53744507241da3ca5ca44a9c",
    "ops/datacenter/editorial_guides/deep_figures.py": "158969d9b1f5a4bd13906cf78dd71affc2692df9194593918059d861a6f59c85"
  },
  "source_ids": [
    "h-gem2020",
    "h-uhgg2020"
  ],
  "formula_source": "Article equations and this versioned script",
  "diagram_nodes": [
    "Environmental samples",
    "Reads and recovery",
    "Genome bins",
    "Versioned annotation",
    "Functional hypotheses",
    "Independent measurement"
  ]
}